Practice Packet for the Accelerated Math 7 Placement TestStudents who have earned an A in Math 6 (semester and the third quarter) and who have demonstrated satisfactory work habits throughout the year may request the opportunity to take a placement test at the end of the school year to determine readiness for placement into Accelerated Math 7 in seventh grade. 

Please note that this option will require additional study and preparation by the Math 6 student as many of the standards required for Accelerated Math 7 are not taught in the Math 6 class. The 7th grade standards listed below are the concepts that students will need to learn to be ready for the ACC7 math class. Please contact your child’s math teacher for additional information.

Integers- Add and subtract integers, including how to do these on a number line. - Multiply and divide integers.

Rational Numbers: Decimals- Convert a rational number to a repeating or terminating decimal using long division and convert a

decimal into a rational number.- Add and subtract positive and negative decimals.- Multiply and divide positive and negative decimals.- Solve real-world and mathematical problems involving the four operations with decimals.

Rational Numbers: Fractions- Add and subtract positive and negative fractions.- Multiply and divide positive and negative fractions.- Solve real-world and mathematical problems involving the four operations with fractions.

Expressions- Apply the properties of operations to make equivalent expressions and combine like terms in an

expression (including complex word problems that translate to algebraic expressions)- Evaluate numerical and algebraic expressions, including those with positive exponents (and those

with rational numbers).

Equations & Inequalities- Solve problems by writing and solving one and two step equations and inequalities.

Online Resources

The following websites provide opportunities to practice. Search for the relevant topics in each of these sites.

IXL Math: Students may use their CCMS account to practice on IXL. ixl.com/signin/culvercityms

- Grade 6 skills - Grade 7 skills

Khan Academy:Grade 6 - https://www.khanacademy.org/math/cc-sixth-grade-mathGrade 7 - https://www.khanacademy.org/math/cc-seventh-grade-mathWithin each subject sub-category:

- Offers video instruction

- Provides practice problems

Sample Test Questions for Integers

1. Solve each problem.

a. | ‒4 | = b. | 9 | = c. | ‒3 | + | 4 | = d. ‒ | ‒6 | =

e. ‒12 + 2 = f. (‒6)2 g. ‒5(10) + (‒8) h. (–6) – 3 – (– 2)

i. – 45 ÷ (– 9) j. a and b are both negative integers. Their product will be: circle all that apply

positive negative zero

k. l. m. n.

2) In Buffalo, New York, the temperature was -4°F at midnight. If the temperature dropped 7°F, what is the temperature now?

3) The high temperatures for the first week of winter in the Niagra Falls, New York are listed below. Find the average high temperature for these 7 days.

Day 1 – 2° Day 2 5° Day 3 0°Day 4 – 1° Day 5 – 3° Day 6 – 1°Day 7 – 5°

4) If a is a negative number, and b is a positive number, will their sum be positive or negative? Explain your answer and provide an example(s) to justify your answer.

5) P is a positive integer with no remainder when P – 8 is divided by 5. Which of the following could be the value of –P? Circle all that apply. Show work to justify your choice.

a) ‒28 b) 0 c) 1 d) ‒3

Sample Test Questions for Rational Numbers – Decimals

1) Complete the conversions. Simplify all fractions to lowest terms.

Simplified Fraction Decimal⅞

0.49

15⅓

0.168

2) What is the difference between a terminating and repeating decimal? Give examples of each.

3) What is a rational number?

Evaluate the following problems. Show your work.4) −5.3 + 7.89 = 5) 25 – 2.47 =

6) (−9.38)(3.49) = 7) −25.67 ÷ −8.5 =

8) The difference of −6.2 and 2.8 9) 102.6 – (−6.85.7) =

10) Melissa purchased $39.46 in groceries at a store. The cashier gave her $1.46 in change from a $50 bill. Is this the correct change? Explain.

11) A student earns $11.75 per hour for gardening. If she worked 21 hours this month, then how much did she earn?

12) A member of the school track team ran for a total of 179.3 miles in practice over 61.5 days. About how many miles did he average per day?

13) Six cases of paper cost $159.98. How much does one case cost? Round your answer to the nearest cent.

14) Cadence noticed that 1/7 can be converted to a repeating decimal. Gavin noticed that 1/9 can be converted to a repeating decimal. Rachel noticed that 1/11 can be converted to a repeating decimal. Dylan claimed that all fractions with odd denominators will convert to a repeating decimal. Do you agree or disagree with Dylan? Justify your thinking and support your ideas with examples.

h = 1½ ft

w = ⅞ ft

Sample Test Questions for Rational Numbers – Fractions Directions: For each problem, show your work. For word problems, answer the question in a complete sentence. Explain your thinking when asked. Be sure to simplify all fractions to lowest terms.

1. 59

× 69 2. (− ) (− )

3. 78

÷−12 4. (−3 2

3)+(−7 1

5)

5. 1 2

3÷ 3

10 6. −¿

7.

−34

−89

8. 315+(−8 1

2)

9. Use the formula below to find the volume of the rectangular prism. Show all work.

10. In Alaska, the temperature dropped throughout the night by 6½°F each hour. Evan went to bed at 10:00 pm when the temperature was 15°F. What temperature was it when he woke up suddenly at 1:00 am?

l = 2⅔ ft

V = l × w × h

Sample Test Questions for Expressions Write an algebraic expression for each statement.

1) The quotient of x and 6. ________________________

2) Four times the sum of n and three. ________________________

3) Cameron’s age two years ago, when c represents his present age. ________________________

Evaluate each expression. Show your work.

4) 3x2 – 5, when x = 4 5) 24 ÷ 3 • 4 6) 4+2¿) when x = (-1)

7) Place each expression in the table below to indicate equivalent expressions:

a) 3 + 5x b) + 2x – 1 c) (5· x) + (5· 3)

d) 5(x + 1) e) 14x +7 ‒ 9x + 8 f) 2.5(2x) + 3

5(x + 3) 5x + 3 Neither

Simplify each expression.

8) 4y + 5 + 3y + 2 9) 9(w + 3)

10) 5a + 2 + 6(a + 5) + 3a 11) 8(b + 7) – 3(b + 10)

12) 13(x + 2

5¿ 13) −6(3y – 5z)

14) A rectangle has a width of w inches. Its length is 9 inches less than twice its width.

a. Write an expression to represent the area of the rectangle.b. Find the area when w = 8 inches. Show your work.

Sample Test Questions for Equations and Inequalities

Graph the following inequalities:

1) x > - 4 2) y ≤ ½

Solve each equation and show all of your work!

3) 7x – 9 = 47 4) −8= x13

5) −9(2x + 3) = 54 6) w6

−4=−8

Solve the inequality and graph the solution.

7 ) x+3

5≥ 4

8) Marissa has twice as much money as Frank. Christina has $20 more than Marissa. If they have $900, in total, how much money does each person have?

a) Write an equation to represent this situation. Be sure to identify your variable(s).

b) Solve your equation to show the amount of money each person has.