01/07 & 01/08 DOL: Solving Equations and Inequalities

What is the result of distributing in the expression 4(2x + 1)?

• 8x + 4

• 8x + 1

• 4x + 4

• 4x + 1

Dennis wants to solve the equation 4(2x + 1) = 3(2x – 5). Which of the following equations could represent Dennis’ first step?

(a)  

• 6x + 5 = 5x – 2

• 6x + 4 = 6x – 5

• 8x + 4 = 6x – 15
• 8x + 4 = 6x – 3

Ben was given an equation to solve on a whiteboard: 0.3(12x – 16) = 0.4(12 – 3x). What is the solution to Ben’s equation?

• -2

• 4

• 2

• -4

What is the solution to –(6m + 8) = 4(17 – m)?

• m = -38

• m = 4

• m = 3

• m = 38

Mrs. Norwood presented her students with the equation 2(40 – 5y) = 10y + 5(1 – y). What is the value of y that makes the equation true?

• 7.5

• 15

• -75

• 5

Jose was solving inequalities with variables on both sides.

5(3 - x) < -2x + 6

What is the solution set to the inequality Jose was completing?

• x < -9

• x > 7

• x < -3

• x > 3

Racquel gave her little brother the following inequality to solve.

−3(x + 10) – 3x < 2x + 18

Which inequality describes all the solutions?

• x > -24

• x > -6

• x < 12

• x > -1

Mr. Lopez gave his students an inequality and told them to write possible solutions.

5x – (x + 2) ≥ −5(1 + x) + 3

What values could represent the students’ responses? Select ALL that apply.

• 0

• -6

• -11

• 2

• 14

Distribute the expression below.
2(8x - 12)

• 10x - 10
• 16x - 24
• 8x - 24
• 16x + 24

Tags

CCSS.6.EE.A.3

What is the solution set for −6(x + 1) ≤ 2(x + 5)?

Do not place any spaces in your answer.

Mathematical Equivalence

ON