Equations and Inequalities

Which situation can be represented by this inequality?

• Felicia has 12 buttons in her collection. She will collect 29 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at least 120 buttons?

• Felicia has 29 buttons in her collection. She will collect 12 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at least 120 buttons?

• Felicia has 29 buttons in her collection. She will collect 12 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at most 120 buttons?

• Felicia has 12 buttons in her collection. She will collect 29 new buttons every year. Felicia collects buttons for k years. For what values of k will Felicia have at most 120 buttons?

What is the solution set for -4x -10 ≤ 2?

• x ≤ -3

• x ≥ -3

• x ≤ 2

• x ≥ 2

The model represents an equation. What is the solution for this equation?

• x = 3

• x = 15

• x = 5

• x = 1

What is the solution to this equation?

30.16 = 17.56 + 5x

• 6.032

• 3.512

• 12.6

• 2.52

An equation is modeled.

What value of x makes the equation true?

• 1

• 7

• -5

• -1

What is the value of x in this equation? 2x + 2 = -52

• -25

• -27

• -56

• -50

Which equation is true when k = -15?

• 3k - 11 = -34

• -53 + 4k = 7

• k/3 + 17 = 12

• k/5 + 2.5 = 0.5

If x = 14, which equation is true?

• 3(20 - x) = 44

• 3(12 - x) = 6

• 2(x - 3) = 22

• 2x - 3 = 22

If x = -6, which inequality is true?

• -5 - 3x > 10

• -3 - 5x < -14

• 1 - 2x > 13

• 2 - x < -3

Choose the first step in solving the following equation.
-3y - 12 = 14

• add 3 from both sides

• add 12 to both sides

• subtract 12 from both sides