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Benchmark 3 - Review - Part 1

Total questions: 10

Worksheet time: 17mins

Name
Class
Date
1.

Which expression is equivalent to 𝟏𝟏 × 𝟏𝟏 × 𝟏𝟏 + 𝟗 × 𝟗 × 𝟗 × 𝟗 × 𝟗?

a)

113+9511^3+9^5

b)

113×9511^3\times9^5

c)

20820^8

d)

99899^8

2.

A map is drawn on a coordinate plane. The school is located at (−𝟏, 𝟒), the city pool is located at (𝟒, 𝟒), and the mall is located at (−𝟏, −𝟐). The three locations form a right triangle. If 𝟏 unit on the coordinate plane represents 1 miles, what is the distance from the school to the mall?

a)

2 miles

b)

4 miles

c)

6 miles

d)

8 miles

3.

Which expression is equivalent to 𝟕𝒑 + 𝒑 + 𝟒𝒑 + 𝟐𝒑 − 𝟔?

a)

7p

b)

8p

c)

13p - 6

d)

14p - 6

4.
a)

Expression 1 is equivalent to Expression 2 because the two expressions have the same amount of terms.

b)

Expression 1 is equivalent to Expression 2 because the two expressions have the same value regardless of which value is substituted into them.

c)

Expression 1 is not equivalent to Expression 2 because the two expressions do not simplify to equivalent expressions.

d)

Expression 1 is not equivalent to Expression 2 because the two expressions have different coefficients.

5.

Which expression is equivalent to 𝟖𝒚?

a)

8(𝑦 + 𝑦 + 𝑦 + 𝑦 + 𝑦 + 𝑦 + 𝑦 + 𝑦)

b)

7𝑦 + y

c)

6(2𝑦)

d)

𝑦 ∙ 𝑦 ∙ 𝑦 ∙ 𝑦 ∙ 𝑦 ∙ 𝑦 ∙ 𝑦 ∙ y

6.
a)

difference

b)

factor

c)

quotient

d)

sum

7.

Which expression best represents the phrase, the product of 𝟏𝟒 and a number, 𝒏, divided by 𝟑?

a)

3 ÷ 14 + n

b)

3 ÷ 14n

c)

14 + 𝑛 ÷ 3

d)

14𝑛 ÷ 3

8.

A student uses the Distributive Property to rewrite 𝟒𝟗 + 𝟏𝟒. Which expression could the student use?

a)

7(7 + 2)

b)

7(7 + 14)

c)

7(42 + 7)

d)

7(42 + 14)

9.

Which expressions are equivalent to 𝟓(𝟑𝒙 + 𝟖)? Select ALL that apply.

a)

5(3𝑥) + 5(8)

b)

5(11𝑥)

c)

8𝑥 + 13

d)

15𝑥 + 40

e)

15𝑥 + 5(8𝑥)

10.

What is the distance between (−𝟏𝟓, −𝟏𝟐. 𝟓) and (−𝟒, −𝟏𝟐. 𝟓)?

a)

19 units

b)

11 units

c)

8.5 units

d)

2.5 units