Lesson 15: Practice Problems

Problem 1

Evaluate each expression if $x = 3$ .

$2^{x}$
$x^{2}$
$1^{x}$
$x^{1}$
${(\frac{1}{2})}^{x}$

Problem 2

Evaluate each expression for the given value of each variable.

$2 + x^{3}$ , $x$ is 3
$x^{2}$ , $x$ is $\frac{1}{2}$
$3 x^{2} + y$ , $x$ is 5 $y$ is 3
$10 y + x^{2}$ , $x$ is 6 $y$ is 4

Problem 3

Decide if the expressions have the same value. If not, determine which expression has the larger value.

$2^{3}$ and $3^{2}$
$1^{31}$ and $31^{1}$
$4^{2}$ and $2^{4}$
${(\frac{1}{2})}^{3}$ and ${(\frac{1}{3})}^{2}$

Problem 4

Match each equation to its solution.

$7 + x^{2} = 16$
$5 - x^{2} = 1$
$2 \cdot 2^{3} = 2^{x}$
$\frac{3^{4}}{3^{x}} = 27$

$x = 1$
$x = 2$
$x = 3$
$x = 4$

Problem 5 From Unit 6 Lesson 6

An adult pass at the amusement park costs 1.6 times as much as a child’s pass.

How many dollars does an adult pass cost if a child’s pass costs:

$5?

$10?

$w$
A child’s pass costs $15. How many dollars does an adult pass cost?

Problem 6 From Unit 2 Lesson 14

Jada reads 5 pages every 20 minutes. At this rate, how many pages can she read in 1 hour?

Use a double number line to find the answer.
Use a table to find the answer.
pages
read
time in
minutes
$5$
$20$
Which strategy do you think is better, and why?