Think Up 31/32 Assignment

Kwan uses a balance scale to solve an equation, as shown. Which value of x best represents the solution to the equation?

• x = -13

• x = -1

• x = 13

• x = 6

What inequality best represents the solution for the inequality?

-100 > -5y

• 20 > y
• -20 < y

• 20 < y

• -20 > y

• Subtract 2 from both sides of the inequality.

• Add 2 to both sides of the inequality.

Leanne drew two angles. The sum of the measures of the two angles cannot be more than 60°. Leanne determines the measure of ∠XYZ to be 27.8°. Which best describes B, the possible measures of ∠ABC?

• A) B > 0 and B ≤ 87.8

• B) B > 0 and B ≤ 32.2

• C) B > 0 and B < 87.8

• D) B > 0 and B < 32.2

Mrs. Bryan saves $1,500 for a family vacation. She budgets $235 of her savings for transportation. Which of the following represents the equation and solution to determine x, the amount of money Mrs. Bryan can budget for the rest of the vacation?

• A) x - 235 = 1,500;

  x = 1,735

• B) 235 + x = 1,500;

  x = 1,265

• C) 1,500 + 235 = x;

  x = 1,735

• D) x - 1,500 = 235;

  x = 1,265

Mrs. Mitchell purchases milk for $3.50 per gallon. Which represents the number of gallons of milk, g, Mrs. Mitchell can purchase if she plans to spend no more than $10.50 on milk?

• g ≥ 0 and g ≤ 3

• g ≥ 0 and g ≤ 14

• g ≥ 0 and g ≤ 7

• g ≥ 0 and g ≤ 2

Marissa solves the inequality as shown: (-x/12) > -8. (-12)(-x/12) > -8(-12). x > 96. Marissa's teacher checks her work and notices a mistake in her answer. What is Marissa's mistake?

• A. Marissa should add 12 to both sides of the inequality.

• B. Marissa incorrectly multiplies -8(-12).

• C. Marissa's teacher could not read her work clearly, and her answer is actually correct.

• D. Marissa did not change the direction of the inequality symbol after multiplying both sides of the inequality by a negative number.

Sam earns $4 per hour completing chores on the weekends. Last weekend, he earned $10. Use the model to determine x, the number of hours Sam worked last weekend.

• x = 10

• x = 2

• x = 6

• $105

• $42

• $32

• $41

• 4

• 5

• 5.5

• 6