Lesson 12: Practice Problems

Problem 1

Select all expressions that are equivalent to 64.

$2^{6}$
$2^{8}$
$4^{3}$
$8^{2}$
$16^{4}$
$32^{2}$

Problem 2

Select all the expressions that are equivalent to $3^{4}$ .

7
$4^{3}$
12
81
64
$9^{2}$

Problem 3

$4^{5}$ is equal to 1,024. Evaluate the following expressions.

$4^{6}$
$4^{4}$
$4^{3} \cdot 4^{2}$

Problem 4

$6^{3} = 216$ . Using exponents, write three more expressions whose value is 216.

Problem 5 From Unit 6 Lesson 11

Find two different ways to rewrite $3 x y + 6 y z$ using the distributive property.

Problem 6 From Unit 6 Lesson 5

Solve each equation.

$a - 2.01 = 5.5$
$b + 2.01 = 5.5$
$10 c = 13.71$
$100 d = 13.71$

Problem 7 From Unit 6 Lesson 10

Which expressions represent the total area of the large rectangle? Select all that apply.

A rectangle partitioned by a horizontal line segment into two smaller rectangles. The bottom horizontal is labeled 6 and the vertical side lengths are labeled n and m.

$6 (m + n)$
$6 n + m$
$6 n + 6 m$
$6 m n$
$(n + m) 6$

Problem 8 From Unit 3 Lesson 16

Is each statement true or false? Explain your reasoning.

$\frac{45}{100} \cdot 72 = \frac{45}{72} \cdot 100$
16% of 250 is equal to 250% of 16