Lesson 14: Practice Problems

Problem 1

The solution to $5 - 3 x > 35$ is either $x > - 10$ or $- 10 > x$ . Which solution is correct? Explain how you know.

Problem 2

The school band director determined from past experience that if they charge $t$ dollars for a ticket to the concert, they can expect attendance of $1000 - 50 t$ . The director used this model to figure out that the ticket price needs to be $8 or greater in order for at least 600 to attend. Do you agree with this claim? Why or why not?

Problem 3 From Unit 6 Lesson 13

Which inequality is true when the value of $x$ is -3?

$- x - 6 < - 3.5$
$- x - 6 > 3.5$
$- x - 6 > - 3.5$
$x - 6 > - 3.5$

Problem 4 From Unit 6 Lesson 13

Draw the solution set for each of the following inequalities.

$x \leq 5$
$x < \frac{5}{2}$

Problem 5 From Unit 6 Lesson 3

Write three different equations that match the tape diagram.

A tape diagram labeled 40 with 7 segments each labeled x and one large segment, 19.

Problem 6 From Unit 6 Lesson 2

A baker wants to reduce the amount of sugar in his cake recipes. He decides to reduce the amount used in $1$ cake by $\frac{1}{2}$ cup. He then uses $4 \frac{1}{2}$ cups of sugar to bake $6$ cakes.

A tape diagram labeled 4 and one-half with 6 segments each labeled "x - one-half"

Describe how the tape diagram represents the story.
How much sugar was originally in each cake recipe?

Problem 7 From Unit 4 Lesson 12

One year ago, Clare was 4 feet 6 inches tall. Now Clare is 4 feet 10 inches tall. By what percentage did Clare’s height increase in the last year?