Solving Equations and Inequalities

Which of the following represents the solution to the inequality shown below?

• x < -3

• x < -6

• x > -3

• x > -6

Which of the following represents the solution to the inequality shown below?

-2x + 3 > -17

• x < 10

• x > 10

• x > 7

• x < 7

Which of the following represents the solution to the inequality shown below?

Justin and Sean have a classics album collection.  The number of albums in Justin’s collection can be represented by x.  The number of albums in Sean’s collection is 5 times the number in Justin’s collection.  The total number of albums in both collections is 78. What is x, the number of albums in Justin’s collection?

• x = 6

• x = 15.6

• x = 13

• x = 78

• x = -4

• x = -2

• x = 10

• x = 20

Grace, Maci, and Kendra all have a large collection of earrings. The number of pairs of earrings in Grace’s collection is represented by x. The number of pairs of earrings in Maci’s collection is three times the number of pairs in Grace’s collection. Kendra has 4 earrings in her collection. The total number of pairs of earrings in all three girls’ collections is 52. How many pairs of earrings are in Maci’s collection?

• x = 48

• x = 12

• x = 36

• x = 4

4x + 2(x - 6) = 12

• x = 6

• x = 4

• x = 2

• x = -2

solve 5(6 + 3r) + 7 ≥ 127

• r ≤ 6

• r ≥ 6

• r ≤ -6

• r ≥ -6

2(2x + 3) = -6(x + 9)

• x = 1.2

• x = 6

• x = -6

• x = 7.5

Solve the equation for x.
-8x - 8 + 3x - 6 = -3x + 2

• x = -8

• x = 8

• x = 2

• x = -2