Math 7 Unit 6 Review

Which inequality could represent the situation?

Han got $2 from Clare, but still has less than $20.

• x−2 < 20

• 2x < 20

• x+2 < 20

• ½ x < 20

Which inequality could represent the situation?

Mai spent $2 and has less than $20.

• x−2 < 20

• 2x < 20

• x+2 < 20

• ½ x < 20

Which inequality could represent the situation?

If Tyler had twice the amount of money he has, he would have less than $20.

• x−2 < 20

• 2x < 20

• x+2 < 20

• ½ x < 20

Which inequality could represent the situation?

If Priya had half the money she has, she would have less than $20.

• x−2 < 20

• 2x < 20

• x+2 < 20

• ½ x < 20

When a store had sold ⅖ of the shirts that were on display, they brought out another 30 from the stockroom. The store likes to keep at least 150 shirts on display.

Which inequality describes the situation?

• ⅗ x + 30 ≥ 150

• ⅗ x + 30 ≤ 150

• ⅗ x - 30 ≥ 150

• ⅗ x - 30 ≤ 150

Solve the inequality

-5 (x−1) > -40

Graph the solution on a number line.

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Select all the statements that are true for any value of x.

• 7x + (2x+7) = 9x+7

• 7x + (2x−1) = 9x+1

• 5x − (8−6x) = -x−8

• 4x − (2x+8) = 2x−8

• 6x − (2x−4) = 4x+4

Select all expressions that are equivalent to

5x−15−20x+10

• 5x − (15+20x) + 10

• 5x + -15 + -20x + 10

• 5(x−3−4x+2)

• -15x − 5

• -5(3x+1)

In the cafeteria, there is one large 10-seat table and many smaller 4-seat tables. There are more than enough tables to fit 200 students. Write an inequality whose solution is the possible number of 4-seat tables in the cafeteria.

• 4 + 10n ≤ 200

• 10 + 4n ≤ 200

• 4 + 10n ≥ 200

• 10 + 4n ≥ 200

Which inequality is shown on the number line?

• x > ⁵/₂

• x < ⁵/₂

• x ≤ ⁵/₂

• x ≥ ⁵/₂