Unit 6 Review (7th grade)

Multiple Choice

100

What is the greatest common factor of the terms in the expression 8𝑥 + 12?

A. 8

B. 2

C. 4

D. 12

C. 4

200

Simplify 3(𝑥 − 3) using the Distributive Property.

A. 3𝑥 − 3

B. 3𝑥

C. 3 + 𝑥 − 3

D. 3𝑥 − 9

D. 3x - 9

300

Which of the following is equivalent to the expression 6(5𝑥 − 2) + 2?

A. 30𝑥

B. 30𝑥 − 10

C. 30𝑥 + 10

D. 30𝑥 + 14

B. 30x - 10

400

Which of the following word phrases describes the expression 𝑥 + 9? Circle ALL that apply.

A. nine more than x

B. the quotient of x and nine

C. the sum of x and nine

D. nine less than x

E. nine minus x

A, C

500

Which expressions are equivalent to 7(𝑥 + 1) − 4? Circle ALL that apply.

A. 7𝑥 + 3

B. 7𝑥 − 3

C. 7𝑥 + 1 − 4

D. 5𝑥 + 3𝑥 − 1

E. 7𝑥

F. 4(𝑥 + 1) + 3𝑥 − 1

A, F

Word Phrases

100

Write an algebraic expression for the phrase “the sum of five and t”.

5 + t

200

Write an algebraic expression for the phrase.

Four less than p

p - 4

300

Write a phrase for the algebraic expression 2x + 8.

The product of two and x plus eight.

The sum of two times x and eight.

Eight more than the product of two and eight.

etc.

400

Write a phrase for the algebraic expression.

5x/7

The quotient of five times x and seven.

The product of five and x divided by seven.

etc.

500

Write a phrase for the algebraic expression.

6𝑘 + 1

One more than the product of six and k.

Six times k plus 1.

The sum of six times k and one.

etc.

Expressions

100

x/3 − 2 when 𝑥 = −9

x = -5

200

3𝑔 + 2ℎ when 𝑔 = −5 and ℎ = 3

-9

300

Simplify the expression 2 + 4(𝑥 − 1) − 5.

4x - 7

400

Factor the expression 3x + 24 using the greatest common factor.

3(x + 8)

500

Write an expression that contains four terms and simplifies to 2y + 8.

Answers will vary

Review worksheet

100

What value correctly fills in the blank in the equation below?

5(3𝑥 − 2) = _______𝑥 − 10

15

200

What is the value of the expression below when a = 4, b = 12, and c = –1?

(5𝑎 + 𝑏) / −2𝑎c

4

300

Karen purchased x apples for y dollars. If each apple costs $0.60, give two possible sets of whole number values for x and y.

Answers will vary.

𝑥 = 10, 𝑦 = $6.00 or 𝑥 = 50, 𝑦 = $30.00

400

Solve −10𝑤 + 𝑛/𝑤 when 𝑛 = 60 and 𝑤 = −4

25

500

Factor the expression using the greatest common factor.

6𝑥 + 24

6(x + 4)

Christmas Trivia

100

Where was Jesus born?

Bethlehem

200

In the movie Home Alone, where are the McAllisters going on vacation when they leave Kevin behind?

Paris

300

What words follow "Silent Night" in the song?

Holy Night

400

Three of Santa's reindeers names begin with the letter "D". What are they?

Bonus: Can you name them all?

Dasher, Dancer, Donner

Prancer, Vixen, Comet, Cupid, Blitzen, Rudolph

500

In the movie National Lampoon's Christmas Vacation, Aunt Bethany is asked to say a blessing? What does she say instead?

Bonus: What gets stuck in their Christmas tree?

Pledge of Allegiance

Bonus: An electrocuted cat