Lesson 13: Practice Problems

Problem 1

For each inequality, find two values for $x$ that make the inequality true and two values that make it false.

$x + 3 > 70$
$x + 3 < 70$
$- 5 x < 2$
$5 x < 2$

Problem 2

Here is an inequality: $- 3 x > 18$ .

List some values for $x$ that would make this inequality true.
How are the solutions to the inequality $- 3 x \geq 18$ different from the solutions to $- 3 x > 18$ ? Explain your reasoning.

Problem 3 From Unit 4 Lesson 12

Here are the prices for cheese pizza at a certain pizzeria:

pizza size	price in dollars
small	$11.60$
medium
large	$16.25$

You had a coupon that made the price of a large pizza $13.00. For what percent off was the coupon?
Your friend purchased a medium pizza for $10.31 with a 30% off coupon. What is the price of a medium pizza without a coupon?
Your friend has a 15% off coupon and $10. What is the largest pizza that your friend can afford, and how much money will be left over after the purchase?

Problem 4 From Unit 6 Lesson 4

Select all the stories that can be represented by the diagram.

A tape diagram labeled 7 with 3 white segments each labeled x and one blue segment labeled 1.

Andre studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science, and history.
Lin spends $3 on 7 markers and a $1 pen.
Diego spends $1 on 7 stickers and 3 marbles.
Noah shares 7 grapes with 3 friends. He eats 1 and gives each friend the same number of grapes.
Elena spends $7 on 3 notebooks and a $1 pen.