Unit 6 Study Guide

Lin got a $50 gift card to an online music store. She uses the gift card to buy an album for $9.99. She also wants to use the gift card to buy some songs. Each song costs $1.29. Which of these inequalities describes this situation, where n is the number of songs Lin wants to buy?

• 9.99 + 1.29n ≥ 50

• 9.99 + 1.29n ≤ 50

• 9.99 – 1.29n ≥ 50

• 9.99 – 1.29n ≤ 50

Tags

CCSS.7.EE.B.4B

Which number line shows all the values of x that make the inequality -3x + 1 < 7 true?

• A

• B

• C

• D

Tags

CCSS.7.EE.B.4B

Select all expressions that are equivalent to 6x + 1 – (3x – 1).

• 6x + 1 - 3x - 1

• 6x + -3x + 1 + 1

• 3x + 2

• 6x - 3x + 1 - 1

• 6x + 1 + -3x - -1

Tags

CCSS.6.EE.A.3

At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour. Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.

On the number line, show all the values of t that make your inequality true.

Expand to write an equivalent expression: -1/4(-8x + 12y)

Tags

CCSS.7.EE.A.1

Factor to write an equivalent expression: 36a − 16

Tags

CCSS.HSA.APR.C.4

Tyler is simplifying the expression 6 − 2x + 5 + 4x. Here is his work:

Tags

CCSS.7.EE.A.1

Simplify the expression 6 − 2x + 5 + 4x.

Tags

CCSS.7.EE.A.1

Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Starting from a full tank, can Diego's family drive the car for 14 days without the warning light coming on? Explain or show your reasoning.