Lesson 9: Practice Problems

Problem 1

Select all numbers that are solutions to the inequality $k > 5$ .
1. 4
2. 5
3. 6
4. 5.2
5. 5.01
6. 0.5
Draw a number line to represent this inequality.

Problem 2

A sign on the road says: “Speed limit, 60 miles per hour.”

Let $s$ be the speed of a car. Write an inequality that matches the information on the sign.
Draw a number line to represent the solutions to the inequality.
Could 60 be a value of $s$ ? Explain your reasoning.

Problem 3

One day in Boston, MA, the high temperature was 60 degrees Fahrenheit, and the low temperature was 52 degrees.

Write one or more inequalities to describe the temperatures $T$ that are between the high and low temperature on that day.
Show the possible temperatures on a number line.

Problem 4 From Unit 7 Lesson 7

Select all the true statements.

$- 5 < | - 5 |$
$| - 6 | < - 5$
$| - 6 | < 3$
$4 < | - 7 |$
$| - 7 | < | - 8 |$

Problem 5 From Unit 6 Lesson 15

Match each equation to its solution.

$x^{4} = 81$
$x^{2} = 100$
$x^{3} = 64$
$x^{5} = 32$

2
3
4
10

Problem 6 From Unit 3 Lesson 14

The price of a cell phone is usually $250. Elena’s mom buys one of these cell phones for $150. What percentage of the usual price did she pay?
Elena’s dad buys another type of cell phone that also usually sells for $250. He pays 75% of the usual price. How much did he pay?