Southern Maryland Christian Academy Summer Math Assignment Options

Objectives: Retention of math skills learned from previous school year. Students will be practicing math skills so that retention is maintained over the summer. Because each year builds upon the previ-ous year’s math skills, it is important that students have a solid foundation moving forward. To assist with this, SMCA requires that all students spend time over the summer completing an online mission on khanacademy.org or complete a summer math packet.

Due Date: 2nd day of Math Class

Assessment: Count as one test grade. Student must complete one option below in its entirety. Student may not start one option and then finish with the other option.

Requirements: This summer there are two options for all students entering 6th-AP Calculus. SMCA strongly recommends Option 1.

Option 1: Khan Academy Summer Program

Students are expected to complete 90% of the course mission.

Students that choose the Khan Academy summer math assignments will be completing math modules through khanacademy.org. Students can expect to spend on average a minimum of 30 minutes per week on modules. As students complete the course, they have opportunities to earn “Badges”. “Badges” will be tallied at the beginning of the school year and the top 5 students per course with the greatest number of “badges” will earn 5 homework passes as a reward.

Grading for the Khan Academy will be calculated by the completion percentage of the mission and it will count as one test grade.

Option 2: Summer Math Packet

Students are expected to spend at least 1,000 minutes AND 50% of the course mission. However, in order to prepare for success next year, students are highly encouraged to complete at least 90% of the course mission.

Students who choose the math packet will complete a paper packet that must be printed from SMCA’s website. Students can expect to complete at least one page of the packet three times each week. Remember, it’s not about just “checking it off” and getting it done – it’s about doing quality review that will help you “hit the ground running” in your next math course. Students must show all work on separate sheets of paper. Answers need to written beside each question.

Grading for the Summer Math Packet will be calculated by the number of correct answers out of num-ber of problems and it will be counted as one test grade.

Calculator Use: Calculators may only be used for students entering Pre-Calculus and Calculus.

New SMCA Students: New SMCA students who enroll after August 1, 2018 will have until the end of the first quarter to complete 50% of the Khan Academy summer math assignments or the entire math packet.

Southern Maryland Christian Academy Khan Academy Instructions

Entering Algebra 1 OPTION 1

“How to join your Khan Academy class.”

1. Sign up at khanacademy.org

New to Khan: “Sign-Up” - Upper right side of screen click “sign-up”

o Click “sign-up with email” o Create Account

Use student’s real name for username – this will be the name that helps the teacher know who to give credit to at the end of the summer.

Parents may use their own email account if student does not have an email account.

Returning: “Sign-In” if you already have an account 2. Click on Name in the upper right hand corner

3. Click on Profile

4. Click on “Coaches” tab

5. In the “Add a coach” field, enter the class code: SDP39M54

Click “Join the Class”

6. Now click on name in the upper right hand corner

“Add your Parent” if parent would

like to monitor progress of stu-

dent.

Open the “Coach’s Name” menu at the top right and click “Add students”

or “Add Children” to get started!

Click “Notifications”

7. You’re set! Click “Start this Mission” 8. Complete the “Mission Warm-Up” 9. After completion of “Mission Warm-Up”, Khan Academy will generate as-

signments based on individual’s needs. 10. A new window will appear with some statistics regarding the pre-test.

a. Review the statistics. Then press the green bar at the bottom of the window to close it.

11. You are now ready to earn points and badges while completing summer math assignments!

Remember: Students are expected to complete 90% of the course mission. The completion percentage of the mission will be translated into a TEST GRADE for Quarter One.

Option 2 – Keep Reading

Southern Maryland Christian Academy Summer Math Packet

Entering Algebra 1 OPTION 2

Excellent websites for fun learning and reinforcement of math skills:

www.khanacademy.com - Learn almost anything for free. With a library of over 3,000 videos covering everything from arithmetic to physics, finance, and history and 306 practice exercis-es, we're on a mission to help you learn what you want, when you want, at your own pace.

www.classzone.com – Curriculum used at Southern Maryland Christian Academy Grades 6-12

www.wildmath.com Select “Play the game”. Select addition, subtraction or multiplication and grade. You can race to beat your time. www.harcourtschool.com Click the red box, select math, select HSPMath, select Maryland, click on the skill you need help with. Select a game. www.aplusmath.com Go under “Flashcards” or “Game Room” on the left side of the screen. They can practice adding, subtracting and multiplying. Very important to know the addition, subtraction, and multiplication facts from memorization or within a couple seconds. www.mathisfun.com Select numbers then Math Trainer for adding, subtracting and multipli-cation. Or at the home screen select games and pick a game to play. www.eduplace.com Select your state – “Michigan” press submit. Select the student tab then click on the “mathematics” rectangle. Click in the center book “Houghton Mifflin Math 2007”, Click on “Grade #”. Select any games. Extra Help and Extra Practice is good, also eGames. www.illuminations.nctm.org Select activities then select grade level. Click on Search. www.aaamath.com At the top pick grade for a challenge. Choose any of the activities like multiplication then select “play” option toward the top of the screen. 20 Ques-tions and Countdown games are good ones. www.funbrain.com Lots of fun games to choose from.

Southern Maryland Christian Academy

Summer Math Packet Entering Algebra 1

OPTION 2

Part 1 - Multiple Choice

Identify the choice that best completes the statement or answers the question.

Use a number line to order the integers from least to greatest.

____ 1. 9, 7, –7, 11, 6

a. –7, 6, 7, 9, 11 c. –7, 9, 7, 6, 11

b. 6, 7, 9, 11, –7 d. 11, 9, 7, 6, –7

Complete the statement with <, >, or =.

____ 2.

a. < b. = c. >

____ 3.

a. > b. < c. =

Write the numbers in order from least to greatest.

____ 4.

a.

c.

b.

d.

____ 5.

a.

c.

b.

d.

Find the sum or difference.

____ 6.

a. 96.644

b. 879.23

c. 87.923

d. 94.754

Find the product or quotient.

____ 7.

a. 0.5

b. 510

c. 51

d. 5.1

____ 8.

a. 32.9

b. 0.329

c. 0.0329

d. 3.29

Find the greatest common factor of the numbers.

____ 9. 120, 140

a. 4

b. 168

c. 840

d. 20

____ 10. 44, 40, 28

a. 20

b. 12

c. 4

d. 40

Decide whether the numbers are relatively prime. If not, find the greatest common factor.

____ 11. 30, 12

a. Yes

b. No; 3

c. No; 6

d. No; 30

Write the prime factorization of the numbers. Then find their LCM.

____ 12. 24, 63

a.

b. c. d.

List the first few multiples of each number. Then use the list to find the LCM of the numbers.

____ 13. 12, 21

a. multiples of 12: 1, 3, 4, 12

multiples of 21: 1, 3, 7, 21

3

b. multiples of 12: 12, 24, 36, 48, 60, 72, 84

multiples of 21: 21, 42, 63, 84

84

c. multiples of 12: 24, 36, 48, 60, 72, 84

multiples of 21: 42, 63, 84

84

d. multiples of 12: 3, 4

multiples of 21: 3, 7

3

Find the sum or difference.

____ 14. –

a.

c.

b.

d.

____ 15.

a.

c.

b.

d.

Find the product.

____ 16. •

a.

c.

b.

d.

____ 17. •

a.

c.

b.

d.

97

136

9

13

211

132

10

13

311

133

10

13

1

8

3

7

7

48

3

16

2

5

1

2

1

51

1

4

4

5

5

1

39

1

4

31

123

1

24

12

373

1

8

Find the quotient.

____ 18.

a.

c.

b.

d.

Write the decimal as a fraction or mixed number.

____ 19. 0.145

a.

c.

b.

d.

____ 20.

a. 7

c. 7

b. 7

d. 7

Write the fraction or mixed number as a decimal.

____ 21.

a. 7.00 c. 1.14286

b. 0.087 d. 0.875

____ 22.

a. c. b. d.

Write the decimal or fraction as a percent.

____ 23.

a. none of these c. 700%

b. 570% d. 695%

____ 24. 0.728

a. 0.0728% c. 72.8%

b. 7.28% d. 0.728%

23

52

5

8

5

13

3

8

29

200

29

2000

29

1001

9

20

Write the percent as a decimal and as a fraction or mixed number.

____ 25. 145%

a. 1.45,

c. 0.145,

b. 14.5,

d. none of these

____ 26. 49.7%

a. 0.0497,

c. 4.97,

b. 49.7,

d. 0.497,

Find the mean, median, mode(s), and range of the data.

____ 27. 16, 22, 14, 12, 20, 19, 14, 11

a. mean: 16

median: 16

mode: 14

range: 5

b. mean: 16

median: 14

mode:15

range: 11

c. mean: 16

median: 15

mode: 14

range: 11

d. mean: 16

median: 16

mode: 14

range: 11

Find the perimeter and area of the rectangle or square.

____ 28.

a.

b.

c.

d.

Find the volume of the rectangular prism.

____ 29.

a. 121.8

b. 130.8

c. 529.2

d. 88.2

Find the square roots of the number.

____ 30. 20,164

a. c.

b. d.

Approximate the square root to the nearest integer.

____ 31.

a. 14 b. 17.3 c. 140 d. 13

Simplify the expression.

____ 32.

a.

b.

c.

d.

____ 33.

a.

b. c.

d.

Find the unknown length. Round to the nearest tenth, if necessary. Use the following formula to solve the

problem: 𝑎2 + 𝑏2 = 𝑐2

____ 34.

a. 11.4 in. b. 27.4 in. c. 32.0 in. d. 22.8 in.

Find the unknown length. Express your answer in simplest form.

____ 35.

a. b. c. d.

____ 36. The stem-and-leaf plot shows the number of toys collected by various schools for a children's center. How many

schools collected more than 41 toys?

Number of Toys Collected

3

4

5

Key: = 30

a. 9 b. 10 c. 8 d. 7

____ 37. The histogram shows the number of minutes students at Montrose Junior High typically spend on household

chores each day. About how many students spend 80-99 minutes on chores?

a. 9 students c. 3 students

b. 4 students d. 7 students

____ 38. Make a histogram to display the data in the frequency table.

a.

c.

b.

d.

____ 39. Which statement is not true about the data shown by the box-and-whisker plot below?

a. The interquartile range is 23.

b. The data point 23 lies below the lower quartile of the data.

c. The median of the data is 58.

d. The range is 56.

____ 40. Mrs. Jamison drew a box-and-whisker plot to represent her students' scores on a mid-term test.

Steve earned 85 on the test. Describe how his score compares with those of his classmates.

a. about 75% scored higher; about 25% scored lower

b. about 50% scored higher; about 50% scored lower

c. about 25% scored higher; about 75% scored lower

d. about 75% scored higher; about 50% scored lower

Write the number in scientific notation.

____ 41. 67,700

a. c. b. d. 6.77

Write the number in standard form.

____ 42.

a. 39,900,000 c. 0.0000000399

b. 3,990,000,000 d. 399,000,000

Find the product. Write your answer in scientific notation.

____ 43.

a. c. b. d.

____ 44. An observatory has been tracking a comet for a distance of kilometers. What is this distance in

standard notation?

a. 30,310,000,000 km c. 303,100,000 km

b. 3,031,000,000 km d. 30,310,000 km

Identify the domain and range of the relation.

____ 45.

x 0 –5 –6 –7 7

y –4 3 –6 1 0

a. domain: –7, –6, –5, 0, 7

range: –6, –4, 0, 1, 3

c. domain: –6, –4, 0, 1, 3

range: –7, –6, –5, 0, 7

b. domain: –6, –4, 0, 1, 3

range: –6, –4, 0, 1, 3

d. domain: –7, –6, –5, 0, 7

range: –7, –6, –5, 0, 7

____ 46. Which of the following relations is a function?

a. c.

b. d.

____ 47. Which graph represents a function?

a.

c.

b.

d.

____ 48. Which graph does NOT represent a function?

a.

c.

b.

d.

Find the unit rate.

____ 49.

a.

c.

b.

d.

Write the equivalent rate.

____ 50.

a. 15 c. 1.65

b. 2.5 d. 5940

____ 51. Which is the best buy?

a. $19.25 for 11 candy bars

b. $22.62 for 13 candy bars

c. $15.39 for 9 candy bars

d. $17.30 for 10 candy bars

____ 52. Write the ratio of vowels to consonants in GALIANO in lowest terms.

a. 3:4 c. 4:3

b. 7:2 d. 2:7

____ 53. A worker in an assembly line takes 5 hours to produce 22 parts. At that rate, how many parts can she produce in

10 hours?

a. 44 parts

b. 220 parts

c. 5 parts

d. 88 parts

____ 54. A bus travels 120 miles on 8 gallons of gas. At that rate, how much gas will it need to travel 435 miles?

a. 29 gal

b. 27 gal

c. 28 gal

d. 2.2 gal

____ 55. Jamie traveled 472.5 miles on 31.5 gallons of gas. How many miles can she travel on 9.03 gallons of gas?

a. 120.6 mi

b. 135.45 mi

c. 115.5 mi

d. 96.24 mi

Part 2 - Short Answer

56. The table below shows the number of members of an athletic club who participate in various sports. Make a bar

graph of the data.

57. The data show the ages at which 30 police detectives retired.

51, 64, 53, 62, 55, 60, 66, 56, 63, 67, 57, 58, 52, 66, 56, 64, 59, 60, 65, 55, 61, 59, 62, 63, 54, 60, 63, 65,

53, 65

a. Make a frequency table to organize the data using intervals of 3, starting with 50–52.

b. Make a histogram of the data displayed in the frequency table.

Find the sum or difference, product, or quotient

______58.

______59.

______60.

______61.

______62.

Find the greatest common factor of the numbers.

______63. 36, 24, 60

______64. 36, 42

______65. 54, 81

______66. 50, 150

List the first few multiples of each number. Then use the list to find the LCM of the numbers.

______67. 8, 12

______68. 6, 7

______69. 10, 15

______70. 12, 36

Find the least common denominator of the pair of fractions.

______71.

______72.

______73.

______74.

Add, subtract, multiply, or divide. Write the answer in simplest form.

______75.

______76.

______77.

______78.

______79.

______80.

______81.

______82.

Write the fraction or mixed number as a decimal and as a percent.

_______ ______83.

______ ______84.

______ ______85.

______ ______86.

Write the decimal as a percent and as a fraction in simplest form.

______ ______87. 0.08

______ ______88. 0.47

______ ______89. 0.027

_______ _____90. 15.43

Write the percent as a decimal and as a fraction in simplest form.

______ ______91. 7%

______ ______92. 26%

______ ______93. 48%

______ ______94. 84%

Find the reciprocal of the number.

______95. 12

______96.

______97.

Compare the two numbers. Write the answer using <, >, or =.

______98. 781 and 718

______99. 8.4 and 8.2

______100.

______ 101. 25 and −52

______102. and

______103. and

______104. and

______ 105. 15

4 and 6

7

8

Write the numbers in order from least to greatest.

_____________________106. 80, 808, 88, 8

_____________________107. 0.19, 0.9, 0.49, 0.4

_____________________108.

_____________________109. , , ,

_____________________110. 1 ,1 , ,

_____________________111.

Find the perimeter and area of the rectangle or square.

112.

P = _______________ A = __________________

113. length = 140 ft, width = 40 ft

P = _______________ A = __________________

Find the area and perimeter of the triangle.

114.

P = _________________ A = ________________

Find the perimeter.

_______115. a triangle with sides of length 18 feet, 27 feet, and 32 feet

_______116. a square with sides of length 4.7 centimeters

Find the area.

_______117. a square with sides of length 13 yards

_______118. a rectangle with length 7.7 kilometers and width 4.5 kilometers

Find the volume of the rectangular prism.

119.

V = _____________

Find the volume.

_______120. a cube with sides of length 19 meters

_______121. a rectangular prism with length 5.9 inches, width 8.6 inches, and height 1.2 inches

Find the mean, median, and mode(s) of the data set.

122. 1, 3, 3, 3, 4, 5, 6, 7, 7, 9

Mean = _____________

Median = _____________

Mode = _____________

Range = ____________

123. 17, 22, 36, 47, 51, 58, 65, 80, 85, 89

Mean = _____________

Median = _____________

Mode = _____________

Range = ____________

124. 5, 23, 12, 5, 9, 18, 12, 4, 10, 21

Mean = _____________

Median = _____________

Mode = _____________

Range = ____________

Part 3 - Vocabulary Section

a. Absolute Value n. Like Terms

b. Area o. Linear Function

c. Base of a power p. Monomial

d. Binomial q. Order of Operations

e. Coefficient r. Ordered Pair

f. Constant Term s. Perfect square

g. Domain of a function t. Polynomial

h. Equation u. Rise

i. Evaluate v. Run

j. Exponent w. Slope

k. Formula x. Standard form

l. Function y. Variable expression

m. Inverse operations z. Variable

____ 1. Terms that have identical variable parts raised to the same power.

____ 2. The vertical change between two points

____ 3. The number or expression that is used as a factor in a repeated multiplication.

____ 4. An equation that relates two or more quantities such as perimeter, length, and width.

____ 5. The distance between x (a number) and 0 on a number line.

____ 6. Operations that “undo” each other.

____ 7. A symbol, usually a letter, that is used to represent one or more numbers.

____ 8. The number of square units covered by a figure.

____ 9. A function whose graph is a line or a part of a line.

____ 10. The set of all possible input values for the function.

____ 11. A set of rules for evaluating an expression involving more than one operation

____ 12. A polynomial with two terms.

____ 13. The horizontal change between two points

____ 14. The number part of a term that includes a variable.

____ 15. A number, a variable, or a product of a number and or more variables

____ 16. To fine the value of an expression with one or more operations.

____ 17. A monomial or sum of monomials

____ 18. A term that has a number but no variable.

____ 19. A pair of numbers (x, y) that can be used to represent a point in a coordinate plane. The first number

is the x-coordinate and the second number is the y-coordinate.

____ 20. A mathematical sentence formed by setting two expressions equal.

____ 21. A polynomial written with the exponents of the variable decreasing from left to right.

____ 22. A number that is a square of an integer

____ 23. An expression that consists of numbers, variables, and operations.

____ 24. The ratio of the rise (vertical change) to the run (horizontal change) between any two points on a

non-vertical line.

____ 25. A pairing of each number in a given set with exactly one number in another set. Starting with a

number called an input, the function associates with it exactly one number called an output.

____ 26. A number or expression that represents how many times a base is used as a factor in a repeated

multiplication

29

Part 4 - Algebra Concepts:

____ 1. Evaluate 5j when j = 7.

a. 35 b. 40 c. 12 d. 84

____ 2. Simplify the following equation: 3 3( 3 4)3

a. 1032 b. 9264 c. 2058 d. 91

____ 3. Evaluate when and .

a. 1 b.

c.

d.

____ 4. Simplify

a. 50 b. 61 c. 53.5 d. 29

____ 5. Evaluate the expression given

a. b. 36 c. 18 d.

____ 6. Simplify

a. 171 b. 279 c. 27 d. 135

____ 7. Evaluate the expression

a. 16,320 b. 1044 c. 960 d. 1088

____ 8. Simplify

a. 27 b. 243 c. 189 d. 261

____ 9. Evaluate the expression .

a. b. c. d.

____ 10. Use the concept of opposites to simplify ––[–(+7)].

a. –7 b.

c. 7 d. –

____ 11. Use a number line to find the sum. –4 + (–13)

a. 9 c. –9

b. –17 d. 17

30

____ 12. Complete the input-output table for the function .

Input Output

2 ?

? 5

3 ?

? 9

a.

c.

b.

d.

____ 13. The chart below shows the low temperature on January 11 for five towns.

Which town had the second-lowest temperature?

a. Hermiton b. Weaver c. Rapids d. Doeville

____ 14. Using rules of addition, show how to add the two real numbers. –6 + (–15)

a. –(6 – 15)

–9

b. –(6 + 15)

–21

c. –(6 + 15)

9

d. (6 + 15)

21

____ 15. Which of the following illustrates the associative property of addition?

a. 7 + (2 + 3) = 7 + (2 + 3) c. 2 + 4 = 4 + 2

b. (11 + 12) + 3 = 11 + (12 + 3) d. 6 + 3 = 9 + 0

31

____ 16. Which of the following illustrates the associative property of addition?

a. (11 + 8) + 5 = 11 + (8 + 5) c. 6 + 5 = 11 + 0

b. 3 + (3 + 1) = 3 + (3 + 1) d. 3 + 1 = 1 + 3

Find the difference.

____ 18. –99 – 85

a. –14 c. 184

b. –184 d. 14

Evaluate.

____ 19. –(–4) – (–5) + 6

a. 3 c. 5

b. –3 d. 15

Find the change in temperature.

____ 20. From –13°C to 15°C

a. –28°C c. –2°C

b. 2°C d. 28°C

Find the product.

____ 21. –3 (8)

a. 5 c. –11

b. –24 d. 24

____ 22. (–7)(5)(6)

a. –210 c. –4

b. 210 d. 4

____ 23. Identify the product that will be negative.

a. c. b. d.

Identify the property illustrated in the statement.

____ 24. Which multiplication property is illustrated by the product

a. associative c. commutative

b. property of opposite d. identity

____ 25.

a. Associative property of multiplication c. Commutative property of multiplication

b. Associative property of addition d. Commutative property of addition

____ 26.

a. Commutative property of addition c. Identity property of multiplication

b. Commutative property of multiplication d. Identity property of addition

32

Use the distributive property to write an equivalent expression.

____ 27.

a. b. c. d.

____ 28. 5(9x – 5y)

a. 45x – 25y b. 45x + 25y c. 45x – 5y d. 9x – 5y

____ 29. –4(x – 4)

a. –4x – 4 b. –4x + 16 c. –4x – 16 d. –4x + 4

____ 30. Simplify the expression 8x + 4 + 2x – 7.

a. 10x – 3 b. 6x – 3 c. 10x + 11 d. 6x + 11

____ 31. Simplify 6x + 5(x – 7).

a. 11x – 35 b. 11x + 35 c. 11x – 7 d. x – 35

____ 32. Find the quotient.

a.

b.

c.

d.−27

Find the quotient.

____ 33. (–8)

a. 2 b. –2 c.

d.

____ 34. Dividing by 3 is the same as multiplying by what fraction?

a.

b.

c. 4 d.

____ 35. What is the multiplicative inverse of

a. 19 b. 9 c.

d.

____ 36. What is the multiplicative inverse of ?

a.

b.

c. 32 d. 23

Simplify:

____ 37.

a. 5 b. 25 c. 0.5 d. 50

1

2

1

2

33

Estimate the square root to the nearest integer.

____ 38.

a. 3 b. –3 c. 49 d. –49

____ 39. Which of the following is an irrational number?

a. – c. 0.3858585...

b.

d. –

Identify the terms, like terms, coefficients, and constant terms. Then simplify the expression.

____ 39.

a. terms:

like terms:

coefficients:

constant terms:

simplified expression:

b. terms:

like terms:

coefficients:

constant terms:

simplified expression:

c. terms:

like terms:

coefficients:

constant terms:

simplified expression:

d. terms:

like terms:

coefficients:

constant terms:

simplified expression:

1

8

34

Solve the equation.

____ 40.

a. 22 b. 108 c. 12 d. 24

____ 41. = 26

a. 37 b. 38 c. 15 d. 14

____ 42.

a.

b. 10 c. 9 d. 40

____ 43. = 15

a. –75 b. 75 c. 3 d. –3

Solve the equation.

____ 45. 10x + 2 = 72

a. 74 b. 4 c. 7 d. 70

____ 46. –

a. 520 b. 2080 c. –520 d. –2080

____ 47. –1.1x – 4 = 0.8

a. 5.90 b. –5.27 c. 2.91 d. –4.36

Solve the equation.

____ 48. –3x + 25 + x + 21 = 2

a. 22 b. –3 c. –22 d. 3

____ 49. 8x – 9 = x + 9

a.

b.

c.

d.

____ 50. If 9 = 3(x + 1), then x + 1 = ____.

a. 3 b. 2 c.

d. 12

18

7

18

7

7

18

1

8

22

3