Illustrative Math Grade 7 Unit 6 Review

Vanessa got a $70 gift card to an online music store. She uses the gift card to buy an album for $10.99. She also wants to use the gift card to buy some songs. Each song costs $1.19.

Which of these inequalities describes this situation, where n is the number of songs Venessa wants to buy?

• 10.99-1.19n≥70

• 10.99+1.19n≥70

• 10.99-1.19n≤70

• 10.99+1.19n≤70

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CCSS.7.EE.A.2

CCSS.7.EE.B.3

CCSS.7.EE.B.4

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

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CCSS.7.EE.B.3

CCSS.7.EE.B.4

• -4x - 10y

• 4x - 10y

• -4x + 10y

• 16x - 40y

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CCSS.7.EE.A.1

Factor to write an equivalent expression:

45a - 18

• 9(5a - 2)

• 9(5a - 18)

• 18(2a - 1)

• 5(9a - 4)

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CCSS.7.EE.A.1

Tyler is simplifying the expression 10-2x+7+4x. Here is his work:

10-2x+7+4x

(10-2)x+(7+4)x

8x+11x

19x

Tyler’s work is incorrect. Explain the error he made.

• Tyler did not combine like terms.

• Tyler combined like terms, but added instead of subtracted.

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CCSS.7.EE.A.1

Write an expression equivalent to 10-2x+7+4x that only has two terms.

• 6x + 17

• 2x + 3

• 2x + 17

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CCSS.7.EE.A.1

CCSS.7.EE.A.2

Select all expressions that are equivalent to 7x + 9 - (3x - 9).

• 7x+9-3x-9

• 7x+-3x+9+9

• 4x+18

• 7x-3x+9-9

• 7x+9+-3x--9

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CCSS.7.EE.A.1

CCSS.7.EE.A.2

At midnight, the temperature in a city was 9 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.

• 9 - 2t > -4

  The temp. will reach -4 degrees after 7.5 hours.

• 9 - 2t < -4

  The temp. will reach -4 degrees after 6.5 hours.

• 9 + 2t < -4

  The temp. will reach -4 degrees before 6.5 hours.

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CCSS.7.EE.B.4

Graph the solution to the inequality: 9 - 2t < -4

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CCSS.7.EE.B.4

Aiden’s family car holds 15 gallons of fuel. Each day the car uses 0.7 gallons of fuel. A warning light comes on when the remaining fuel is 1.7 gallons or less.

Starting from a full tank, can Aiden’s family drive the car for 16 days without the warning light coming on? Explain or show your reasoning.

• No, they would use 11.2 gallons in 16 days (16 x .7 = 11.2) and 11.2 is much more than 1.7 gallons.

• Yes, they would use 11.2 gallons in 16 days (16 x .7 = 11.2) and 15 - 11.2 = 3.8, which is more than 1.7 gallons.

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CCSS.7.EE.B.3

CCSS.7.NS.A.1

CCSS.7.NS.A.2

CCSS.7.NS.A.3