10 questions without use of calculatorEquivalent fractions, decimals, percentCompare fractions, decimals and percentMultiply and divide fractions and mixed numbersOrder of operation

5 – 7 questions or 15% of SOL will be new form of questions:

Fill in blanks Order of operation, Square Roots, Replacement values, practical problems (+, -, x, ÷ of decimals and fractions)estimate solutions (addition, subtraction, multiplication and division of fractions)Formula sheet (area, perimeter, surface area, volume, circumference)

Drag and Drop Describe, least to greatest (fractions, decimals, percent), ratios Properties of QuadrilateralsPerfect squaresVolume and surface area of rectangular prismMean as a balance point (number line)

Hot Spot shade fraction, decimal, percentSequences (arithmetic and geometric)Absolute valueMultiple answers

Graphs create bar/circle graphs/line graphs (compare)plot points on a coordinate gridDecimal/Fraction/% of probability Remember probability is between 0-1

2 or more answersAbsolute valueSquare rootsIdentify each number (implies that it could be more than one)MeasurementsNumbers

Wording on test to determine if there is more than one answer:“Choose each number” - more than one

“Choose the number” - one answerAlso, look at the directions. It might tell you how many to choose.

Number and Number Sense (10 Questions)

6.1 RatiosIXL: AA 1, 2, 3, 5

Ratio -comparison of two numbers Ratio 2:3, fraction ( ), colon (2:3), word to (2 to 3)

1. Lucy buys 4 rolls of color film and 7 rolls of black and white film. What is the ratio of color film to black and white film? 4:7

2. What ratio describes the value of a nickel to the value of a quarter?5:25

3. There were 12 footballs and 30 students in gym class. Which ratio accurately compares the number of students to the number of footballs?30:12

4. Which statement is true?

a. 6:7 =

76 = 7 to 6

b.

25 = 2 to 5 = 5:2

c. 8:3 = 8 to 3 =

83

d. 9 to 4 = 4:9 =

94

6.2Fractions Part of a whole Part/total

Divide 45 = 4 ÷ 5

5/0 = undefined 0/5 = 0

1. At a school carnival, a group of 47 students played the Fish Pond game. Each student in the group won a prize. A stuffed animal was won by 24 students, a rubber ball was won by 7 students, and the rest of the students won a baseball cap. What fraction of the group won a baseball cap?

13/47

2. A 20-gallon container is filled with 6 gallons of gasoline. What fraction of the

container is filled with gasoline?

6/20

3. Lisa said 5 parts out of every 8 parts is blue. What is another way to express this relationship?5:8 5 to 8 5/8

4. Sonya, Darren, and Abby were on different sports teams last season. The number of wins for each team is listed below.

• Sonya’s soccer team won 4 out of 5 games.• Darren’s basketball team won 12 out of 20 games.• Abby’s baseball team won 20 out of 25 games.

Which teams won the same proportion of their games?

Percent (Per 100) A percent is a special ratio in which the denominator is 100

Any fraction where the denominator (the bottom number) is 100, the numerator (top number) is the percent.

47/100 = 47%7/100 = 7%29/100 = 29%

1. Lani has learned 21 of the 84 songs in her piano playbook. What percent of the total number of songs in the playbook has Lani learned?

25 %2. Jenny picked 25 roses. She gave away 10 roses. What percent of the roses did Jenny give away?

40%

3. Mary picks 15 flowers from her garden. If 3 out of 5 of these flowers are yellow, how many yellow flowers does Mary pick?

60%

4. Rona drove 56 miles to visit a friend. She drove 42 miles before stopping for gas. What percent of the drive did Rona complete before stopping for gas?

49%

5. In Randi’s school, 5 out of every 7 students ride the bus to school. What percent of students ride the bus?

71%

6. If there are 350 students in Randi’s school, approximately how many students ride the bus?

0 10.7521

248.5

7. A surveyed 643 skateboarders and found that 209 of them preferred wood skateboards to plastic or aluminum skateboards. Based on the number of people surveyed, what is the most reasonable estimation of the percent of skateboarders who preferred wood skateboards?

33%

equivalent (=)equivalent decimals, percents, and fractions (Graph a representation)fractions that have denominators that are factors of 100. (1, 2, 4, 5, 10, 25, 20, 100)

1. Sue's little sister was coloring the squares on a 5 10 grid. She had colored 25 of the squares. What percent of the squares were not yet colored?

2. What number can replace the on the number line?

3. What is 0.06 represented as a percent and a fraction?

4. If you had 100 questions on your math exam and you got 95 of them correct, what is your grade expressed as a fraction, as a decimal, and as a percent?

5. The school’s science fair was attended by

23 of the students. About what percent of the

students attended the science fair? (Round to the nearest percent.)

6. If there were 100 questions on your Science exam and you got 90 of them correct, what is your grade, expressed as a fraction, as a decimal, and as a percent?

7. A seventh-grade class conducted a survey to find out what kinds of pets their classmates owned. They discovered that 60% of the pets owned by the students were dogs. What fractional part of the pets were not dogs?

8. Which of the following does NOT contain equivalent fractions, decimals, and percents?

a.

25 , 0.4, 40%

b.

14 , 0.25, 25%

c.

38 , 0.375, 37.5%

d.

120 , 0.05, 50%

9. Which of the following is NOT in order from least to greatest?

a.

14 ,

13 ,

12

b.

13 ,

34 ,

25

c.

36 ,

68 ,

910

d.

12 ,

45 ,

65

Order and compare 3 fractions, decimals, and percent (decimals through thousandths, fractions with denominators of 12 or less), in ascending or descending order. (Drag and drop)

Ascending order – Numbers are said to be in ascending order when they are arranged from the smallest to the largest number.

5, 9, 13, 17 and 21 are arranged in ascending order

Descending order – Numbers are said to be in descending order when they are arranged from the largest to the smallest number.

25, 21, 17, 13 and 9 are arranged in descending order

a. Numerator is 1, the bigger the Denominator the smaller the fraction.

Example: ½, 1/3, ¼, 1/5, 1/6

b. Compare fraction to ½.

Example 2/4 2 is half of 4

3/6 3 is half of 6

4/8 4 is half of 8

c. Denominator is the same, then the bigger the numerator, the greater the number.

Example: 1/5, 2/5, 3/5, 4/5, 5/5

1. Which of the following statements is true?a. 0.16 < 0.016b. 5.065 < 5.65c. 2.804 < 2.408d. 5.83 < 0.583

2. What fraction could you place in the blank to make a true statement?

0.15 < ___< 85%

a.

910

b.

78

c.

56

d.

67

3. What percent is equivalent to 3/20?

4. Write the following in descending order.16%, 1/6, .166

Write each improper fraction as a mixed number:

1)128

2)65

3)3310

4)97

5)178

-5 -2 -1 0 1 4 5P Q SA T

6.3 Integers (hot spot) absolute value

IXL: C 1, 3, 4

Integers : Are whole numbers and their opposites. Integers are not fractions or decimals.

-4, -3, -2, -1, 0, 1, 2, 3, 4

Negative numbers, positive numbers, and zero

temperature (below 0) finance (owing money) below sea level

Number line for integers and absolute value

1. What number is equivalent to |–16 | ?

2. What number is equivalent to |27| ?

3. What value is equivalent to | -14 | ?

4. Which point represents the integer of -3?

5. What statement is true?a. –15 < –1 < 0 b. –15 > 15 < –7 c. 0 < –6 > –20 d. –7 < –3 > 0

6. What number has the same absolute value as 5?a. 5

b.

15

c. 0d. 5.5

7. What integer is the opposite of –3?

6.4 multiple representations of multiplication and division of fractions. IXL: V 5, 6 W 1, 2, 3

(part of a part.)

x 6 (part of the whole)

What does it mean to divide with fractions?

10 ÷ 2 “How many 2 make ten?” What “times” 2 is 10

, “How many make ?”

“How much for one?” How many are in each group?

Multiplying Fractions:

4 x 2/3 = 2/3 + 2/3 + 2/3 + 2/3 4 groups of 2/3’s

a. 2/3 x ¾ = 6/12 or 1/2

How many acres of land does each person have if

25 acres are divided among 4 people?

Mr. Frazier has 36 yards of fence wire. He wants to divide the wire into strips that are

34 yard

long. How many strips of wire will he be able to make?

6.5 positive exponents and perfect squares (see notes in journal)

IXL: E 1, 2, 3, 9

Perfect squares

104 = 10,000

103 = 1000

102 = 100

101 = 10

100

=1.

If 10 is the base, the exponent will be the number of zeros.

20 = 1

50 = 1

00

= Undefined

1. Which exponential expression is equivalent to 8 x 8 x 8 x 8?84

2. What is the expanded form of 93?9 x 9 x 9

3. What does 100 equal?1

4. The numbers 1, 4, 9, and 16 are called “perfect squares” Find the next three numbers in the sequence.25, 36, 49

5. Which is a model of 4²?

Computation and Estimation (9 questions)

6.6 a) (complete items without the use of a calculator) multiply and divide fractions and mixed numbers IXL: V 1, 2, 10, V 11, W5, X 6

1. What is the solution for

35 ÷

13 ?

95 = 1 4/5

2. What is 8

12 ÷ 2

14 ? 34/9 = 3 7/9

3. What is the solution to 5 x 2

12 ?

4. Find the solution for 8 ÷ 6

25 .

5. What is

34 ÷

23 ?

6. Divide: 4

38 ÷ 1

14

7. Multiply: 2

58 x 3

25

b) estimate solutions and then solve single-step and multistep practical problems involving addition, subtraction, multiplication and division of fractions. (fill in blank)IXL: U 4, 7 V 4, 7, 9, 12 W 4, 6, 8 X 7

¾ + ½ greater than or less than 1

1. Nan lives 13 ½ miles from the airport. Felipe lives 6 ¼ miles from the airport.How many more miles does Nan live from the airport than Felipe?

2. Ms. Brown asked her students to simplify the expression below.2/3 +1/4

What is the simplified version of Ms. Brown’s expression?

3. Stacy has 2 1/3 yards of fabric. She buys an additional 1 1/2yards of fabric.How many total yards of fabric does she have?

4. At a sporting goods store, 3/10 of all the items are baseball items and 1/3 of all theitems are football items. What fraction of the total number of items in the store are baseball or football items?

5. Mike and Frank ran in a race. Frank ran 1

12 miles. Mike ran 1

14 times as far as Frank. How

far did Mike run?

6. You have a 14-foot board and need to cut the board so that it is 11

14 feet long. How much do

you have to cut off?

7. The manager of a sporting good store ordered 58 boxes of athletic shoes. If each box weighs 278 pounds, which is the best estimate of how much all the boxes of shoes weigh?

8. Sandy practiced the clarinet a total of 9

14 hours in one week. The following chart gives the

number of hours she practiced each day, Monday through Saturday. How long did Sandy practice on Sunday?

9. Lowanna is baking cookies. The recipe calls for 3

12 cups of sugar. She only wants half a recipe.

How much sugar will she need?

10. An auto mechanic tells John that labor is $47.00 per hour. If it takes the mechanic about 1

12

hours to fix John’s car, about how much will the labor cost?

11. A property of 12

23 acres will be split equally among 4 family members. What will be the size

of the property that each family member will receive?

32

85

12. What is the area of this rectangle?

13. Jason has three bags of candy that weigh 4

56 ounces, 2

18 ounces, and 6

14 ounces. What is

the best estimate for total weight of all three bags of candy?

14. Mica and Denise are reading the same novel. Mica has read ½ of the novel, and Denise has read 1/3 of the novel. How much more of the novel has Mica read than Denise?

15. Sandra wants to buy 2 gallons of detergent. The table shows the sale price of four different brands of detergent.Which of the following is the least expensive way for Sandra to buy 2 gallons of detergent?

a. Buying 4 bottles of Fresh Allb. Buying 4 bottles of Mega Washc. Buying 2 bottles of Ultra Cleand. Buying 1 bottle of No More Stains

Ultra Clean 1 gallon $6.50Fresh All ½ gallon $2.00Mega Wash ½ gallon $3.10No More Stains 2 gallons $12.00

16. Every week Sam saves $1.00 on Monday and $2.50 on Friday. If this is histotal weekly savings, how many weeks would it take him to save enough tobuy a $49 wireless phone?

A 7 weeksB 14 weeksC 46 weeksD 52 weeks

15.35 feet

11.75feet

6.7 Decimals addition, subtraction, multiplication, and division (Fill in Blank) estimation strategies

IXL: F 2, 3, 4, 5, 6, 7 J 2 O5, X5

1. Jake makes $6.05 per hour. About how many hours does he need to work to make $250?

2. Shawn wants to purchase 3 CDs for $14.99 each, a shirt for $9.59, and a cap for $11.99. What is a reasonable amount of money, before tax, that Shawn can expect to spend?

3. You went shopping with $20. You bought a notebook for $3.70, 3 pencils for 30¢ each, and a drink, fries, and burger for $2.20. Estimate the amount of money you had left.

4. Here is a menu posted at Tom’s school.

Item CostPizza $1.75Hamburger $2.35Salad $2.60Chicken Patty $1.95

If Tom buys pizza and a salad and pays with a $5.00 bill, how much change should he get back?

5. Jordan has to buy 18 gallons of gas that cost $2.49 per gallon. How much will he pay for the gas?

6. Kelly worked 7.25 hours on Monday and 6.5 hours on Tuesday. She earns $6.80 per hour. How much did she earn for working these two days?

7. Michael’s garden is shown below.

If Michael buys 60 feet of fencing to go around this garden, how much will he have left over?

8. Charice’s van drove 147.5 miles and used 11.8 gallons of gas. How many miles per gallon did Charice’s van travel?

9. At the grocery store, Jerry spent $24.75 for 3 pounds of chicken and 3 pounds of cheese. The cheese cost $4.50 per pound. What was the cost of the chicken per pound?

10. CANDY

Package (in ounces) Package Price Candy Price

(per ounce)8 $1.60

10 $1.80

12 $2.04

Complete the table to determine which package has the lowest candy price, per ounce.

11. Bruce needs 30 five-foot pieces of rope for a school project. The hardware storesells rope by the yard. How many yards of rope will Bruce need to purchase?

12. Eliana and her sister are comparing the prices of two brands of cereal. Toasty Oats costs $2.25 for a 15-ounce box. Crunchy Oaties costs $3.90 for a 30-ounce bag.

a. What is the price per ounce of the Toasty Oats?

b. How much more expensive is Toasty Oats per ounce than Crunchy Oaties?

6.8 (complete items without the use of a calculator) Order of operations. Fill in blank

IXL: Q11. Simplify the expression below.

42 + 52

2. Simplify the expression below.3 + 5 x 23 +32

3. Simplify the expressions below.a. 72 - 9 + 13

b. 43 ÷ 22

4. Evaluate: 32 2 + ∙62

5. Simplify this expression: 38 – 2 + 4 x 3 + 3²

6. Which is equivalent to 20 x (9 – 5) – 12 +4² ?

Measurement and Geometry (12 Questions)IXL: Y 1, 26.9 The U.S. Customary System of measurement and measurements in the metric system.

Temperature37°C is about 98°F (about normal body temperature). 22°C is about 72°F (about average room temperature). 0°C is about 32°F (water freezing temperature). 100°C is about 212°F (water boiling temperature).

Mountains

1. If a cat weighs 20 pounds, it would weigh about how many kilograms?

2. Richmond, VA is about 50 miles from Williamsburg, VA. About how many kilometers is that?

3. If you need 12 quarts of lemonade for a class party, about how many liters is that?

4. Which of the following is about the same length as 1 foot?

A 10 centimetersB 30 centimetersC 1 meter D 3 meters

6.10 Area/Perimeter/circumference/volume/SA (Fill in the blank)IXL: Z26 Z32 P 9 (4th grade)

π (pi) as the ratio of the circumference of a circle to its diameter;

The area determines the perfect square number. If it is not a perfect square, the area provides a means for estimation.

1. David measures a side of a piece of wood. The length is 8 feet and the width is

one-half of the length. What is the area, in square feet, of the piece of wood?

2. Olivia measures the diameter of a circle. If the diameter is 32 centimeters, what is the radius, in centimeters?

3. A circle has a radius of 18 inches. What is the circumference of the circle?

4. Gunther drew a circle. The radius of the circle is 20 inches. What is the area, in square inches, of Gunther’s circle?

5. The diameter of Lexa’s hula hoop is 36 inches. What is the radius, in inches, of Lexa’s hula hoop?

6. Janet discovered a very interesting relationship between the diameter of the circle and the distance around the outside of the circle.

CircleDistance

around the circle

Circumference

A 21 cm almost 6.7 cmB 28 cm almost 9 cmC 36 cm almost 11.5 cm

Which statement best describes this relationship?

a. The circumference of the circle is

13 of the diameter of the circle.

b. The circumference of the circle is a little more than 3 times the length of the diameter.

c. The diameter of the circle is

12 of the circumference.

d. The diameter of the circle is twice the length of the circumference7. What statement is true about pi ()?

a. Pi is the ratio of the diameter to the radius of a circle.

b. Pi is the ratio of the area of a circle to the circumference of the circle.

c. Pi is different for every circle.

d. Pi is the ratio of circumference of the circle to the diameter of the circle.

8. A model train set has a circular track that has a radius of 75 cm. What is the area on the inside of the track?

9. Chris wants to build a rectangular pen enclosed by a fence for his horses. The pen will measure 45 feet long by 12 feet wide. How many feet of fencing does he need to enclose the rectangular pen?

10. Mr. Chen has a backyard in the shape of a rectangle that has a perimeter of 128 feet. If the width of the backyard is 25 feet, what is the length?

11. A garden in the shape of a rectangle has length of 18 feet and a width of 12 feet. Covering the garden with fertilizer will cost $1.15 per square foot. How much will it cost to fertilize the garden?

12. Carla is filling a fish aquarium with water. The aquarium has the shape of a rectangular prism that

measures 1

12 feet wide, 3 feet high, and 5 feet long. What is the volume of the aquarium?

13. If the length of the radius of the circle is 6, what is the area of the square?

a. 12 b. 48c. 72d. 144

14. A rectangle has a perimeter of 60 inches and length of 22 inches. What is the width of the rectangle?

15. If the circumference of a circle is 16𝜫, what is the radius?

16. A circle has a circumference that measures 18 𝜫 inches. What is the radius, in inches, ofthe circle?

17.

18.

19.

6.11 Graphs (Hot Spot)

IXL: Q1, 3, 6

a) identify the coordinates of a point in a coordinate plane (fill in the blank)

b) graph ordered pairs in a coordinate plane. (hot spot or graph)

Quadrants

X, Y axis

Origin

Vertical

Horizontal

Name three points on the x axis ____________, _____________, _________________

Name three points on the y axis_____________, _____________, _________________

6.12 congruence of segments, angles, and polygonsIXL: Z14

The symbol for congruency is

Congruent – Same shape and Same size

P

Q

R S

50?

6.13 describe and identify properties of quadrilaterals (drag and drop)IXL: Z.9

Quadrilaterals – 4 sides

Sum of angles = 360 degrees

1. Quadrilaterals have four angles. What is the sum of the measures of these four angles?

2. The drawing below shows the shape of a school playground. Find the measure of Q.

3. The table shows the measure of three angles of a quadrilateral. What is the measure of the fourth angle, D?

4. Which statement is false?

A A trapezoid has only one pair of parallel sides.B A rectangle is always a square.C A parallelogram is always a quadrilateral.D A square is always a rhombus.

5. Which of the following quadrilaterals always have 90-degree angles?

A square and parallelogramB square and trapezoidC square and rectangleD square and rhombus

6. Which two quadrilaterals have four congruent right angles?

7. Which two quadrilaterals have four congruent sides?

8. Choose the answer that correctly identifies only the true statements from the following list.

a. A parallelogram is a quadrilateral with opposite sides congruent and parallel.

b. A rectangle is a square and a polygon.

c. A rectangle is a parallelogram with four right angles.

d. A square is a rhombus.

e. A trapezoid has three parallel sides.

9. Which is the best description of a kite?

a. A kite is a rhombus with two pairs of adjacent congruent sides.b. A kite is a quadrilateral with one pair of right angles.c. A kite is a quadrilateral with two pairs of adjacent congruent sides.d. A kite is a quadrilateral with two pairs or congruent angles.

Probability, Statistics, Patterns, Functions, and Algebra (19)

Favorite Sports of Sixth Graders

Basketball

21

Baseball

41

Golf

101

Football

203

6.14 Graphs (GRAPH)IXL: R 11, 16

– Bar graphs use categorical (discrete) data (e.g., months or eye color).

– Line graphs use continuous data (e.g., temperature and time).

– Circle graphs show a relationship of the parts to a whole.

Graphs: Title Labels Scale Key

frequency distribution how often an item, a number, or range of numbers occurs. It can be used to construct a histogram.

1. The sixth graders at Kelly Middle school voted for their favorite sport.

If the 180 students in sixth grade get to choose a sport to play for a special reward, about how many of these students may choose Golf?

Paul’s Day

sleeping

schoolother

outside activities

inside activities

121

121

61

31

31

baseball football soccer basketball

100

90

80

70

60

50

40

30

20

10

0

Number of Votes

Favorite Sports

2. Paul kept a record of how he spent his time for 24 hours.

How many hours did Paul spend on outside activities?

3. Two hundred sixth grade students were asked to name their favorite sport. Here are the results of this survey.

6.15 Central Tendency (notes in journal)

21 22 23 24 25 26 27 28 29

xx

xxx x x

Miles Driven This Week

IXL: S 1, 2a) describe mean balance point (graph on a number line)

fair share

b) When do you use:1. Mean

2. Median

3. Mode

1. Justin collected data on how many miles he drove for each day for a week. This data is displayed on this line plot.

What is the balance point for this set of data?

2. The list below shows the number of large bags of popcorn sold each day at a movie theater over five days.

18 19 22 18 23What is the mean (average) number of large bags of popcorn sold over the five days?

3. The list below shows the heights, in meters, of five different buildings.180, 170, 120, 180, 160

What is the median height, in meters, of the buildings?

6.16 independent and dependent events (probability) Graph as a %, fraction, decimal on number line IXL BB7

Probability is between (0 – 1) 0 no chance 1 alwaysThe closer it is to (1) the stronger the chance.

Graph the probability on a number line. Probability can be represented as a percent, decimal, or a fraction.

Independent (Replacement)

first roll of a number cube does not influence the second roll of the number cube.

flipping two coins; spinning a spinner and rolling a number cube

flipping a coin and selecting a card

choosing a card from a deck, replacing the card and selecting again.

Ex: When rolling three number cubes simultaneously, what is the probability of rolling a 3 on one cube, a 4 on one cube, and a 5 on the third?

Dependent (Without Replacement)

choosing two marbles from a bag but not replacing the first after selecting it

picking a sock out of a drawer and then picking a second sock without replacing the first

picking a card not replacing then picking a second card

Ex: You have a bag holding a blue ball, a red ball, and a yellow ball. What is the probability of picking

a blue ball out of the bag on the first pick then without replacing the blue ball in the bag, picking a

red ball on the second pick?

Probability

Independent or dependent

Graph the results as a percent, decimal, and fraction.

1. The names of 6 boys and 7 girls are written on cards and placed in a hat. You pick one card, and without replacing it you pick another. What is the probability of picking 2 cards with girls’ names?

2. A box of candy has 7 red pieces, 3 orange, 2 yellow, and 8 blue pieces. You get to pick two pieces of candy. If you reach into the box without looking, what is the probability that you will pick a blue piece and then a red piece of candy?

3. A box contains 4 chocolate chip muffins, 2 blueberry muffins, and 1 corn muffin.A muffin is randomly chosen from the box. What is the probability that a blueberry muffin or a corn muffin is chosen?

4. Mrs. Martin must select two different students to represent the class on the school float in the parade. She puts the name of each student on a slip of paper and places them into a bag. What is the probability that she will pick two girls’ names if there are 11 girls and 12 boys in the class?

5. A bowl holds 4 pieces of green candy and 6 pieces of red candy. You take 1 piece of candy from the bowl and then a second without replacing the first piece. Assuming a red candy was selected first, what is the probability that both candies will be red?

6. A bag has 6 red marbles and 4 blue marbles in it. You pick one, and without replacing it you pick another. What is the probability of picking 2 blue marbles?

6.17 geometric and arithmetic sequences (Hot Spot)

arithmetic difference, called the common difference

6, 9, 12, 15, 18, ¼

5, 7, 9, 11, 13, ¼.

geometric number patterns, multiplied

This multiplier is called the common ratio

2, 4, 8, 16, 32,

1, 5, 25, 125, 625

80, 20, 5, 1.251, 2, 4, 7, 11, 16

1. What would be the next number in the following series?

1,

12 ,

14 ,

18 , …

2. Sam created the following number pattern.

0, 1, 3, 6, 10, 15, ...

Troy said he believed the next number was 20. Sam said he was wrong. What is the next number in Sam's pattern?

3. What is the common ratio for this sequence?

120, 12, 1.2, 0.12, 0.012, …

4. What is the common ratio of the sequence?

6, 0.6, 0.06, 0.006

5. Arithmetic or geometric?

1, 4, 9, 16

6. What is the common ratio?

1, 10, 100, 1000, 10,000

7. Write the next three numbers in the sequence below. 2, -8, 32, -128,

6.18 one-step linear equations in one variable involving whole number coefficients and positive rational solutions. (fill in blank)IXL: P5

expression contains a variable (does not have and =)

term is a number, variable, product, or quotient in an expression of sums and/or differences.

In 7x2 + 5x – 3, there are three terms

coefficient numerical factor in a term. 3xy2, 3 is the coefficient;

term z, 1 is the coefficient.

equation is a mathematical sentence stating that two expressions are equal.

variable is a symbol (placeholder) used to represent an unspecified member of a set.

1. If 8 n = 96, what value of n makes the equation true?

2. The classroom teacher wrote the equation shown below for his students to solve tofind the number of kickballs, k, they could buy with the $144, if each kickball cost $9.

144/k= 9 What is the value of k in the equation?

3. Donnie is autographing baseball items. He has a total of 320 baseball cards to sign. He has signed 14 cards so far. The equation below can be used to determine the number of baseball cards, c, Donnie still needs to sign.

14 + c = 320 What is the number of baseball cards Donnie still needs to sign?4. What is the value of n in the equation below?

66 + n = 226

5. At a bakery, there are 16 packages of hamburger buns for sale. The baker placed8 hamburger buns in each package. He uses the equation below to calculate thetotal number of hamburger buns, b, for sale.

b/8= 16 What is the total number of hamburger buns for sale at the bakery?

6. He also signs 300 baseballs, which are stored in 15 boxes. Donnie uses the equationbelow to determine the number of baseballs, b, in each box.

15b = 300 How many baseballs are in each box?

7. What value of x makes the equation true? 7 + x = 84

8. A sixth-grade class is having a book sale. The students earn $6 for each book they sell.To determine how many books they need to sell to reach their goal of $144, they usethe equation below where b represents a certain number of books.

6 b = 144 What is the value of b in the equation?

9. At a bakery, there are 16 packages of hamburger buns for sale. The baker placed 8 hamburger buns in each package. He uses the equation below to calculate the total number of hamburger buns, b, for sale.

b/8= 16 What is the total number of hamburger buns for sale at the bakery?

10. What is the value of y?

y6 = 48

11.

12.

13.

14.

6.19 PropertiesZero property

Identity property additiveMultiplicative Identity property

Multiplicative Inverse property Additive Inverse Property

15. What property is shown in the equation below?

6 x 0 = 0

16. Which number completes this problem correctly?

___ x 9 = 9

17. Morgan listed these problems.

8 x

18 = 1

15 x 5 = 123 x

32 = 1

What property is Morgan using?

6.20 graph inequalities on a number line (graph)

A 8

x > -6

7 > y.

00 = UNDEFINED

5/0= UNDEFINED

0/5 = 0