Equations and Inequalities Review

What value of x makes the equation true?

• 1

• 7

• -5

• -1

Which situation is best represented by the following equation?

45w + 123.95 = 753.95

• Erica paid $753.95 for dance classes. She paid a $123.95 registration fee and $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes?

• Erica paid $753.95 for dance classes. She paid a $45 registration fee and $123.95 for each week she was enrolled in the classes. What is w, the number of weeks Erica was enrolled in dance classes

• Erica and her sister paid $753.95 for dance classes. Erica paid $123.95 for each week she was enrolled in the classes, and her sister paid $45 for each week she was enrolled in the classes. What is w, the number of weeks Erica and her sister were enrolled in dance classes

• Erica paid $753.95 for dance classes. She paid $123.95 for each week she was enrolled in the classes after using a coupon that gave her $45 off the price per week. What is w, the number of weeks Erica was enrolled in dance classes

An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees?

• 84 + 2𝑧 = 180

• 84 + 𝑧 = 180

• 42 + 2𝑧 = 180

• 42 + 𝑧 = 180

Walter and Brian each have a CD collection.

• The number of CDs in Walter’s collection can be represented by x.

• The number of CDs in Brian’s collection is 3 times the number in Walter’s collection.

• The total number of CDs in both collections is 144.

What is x, the number of CDs in Walter’s collection?

• 108

• 48

• 72

• 36

5. If 𝑥=−6, which inequality is true?

• −5−3𝑥>10

• −3−5𝑥<−14

• 1− 2𝑥>13

• 2−𝑥<−3

Jeff bought a bottle of water for $2. He also bought some hot dogs for $3 each. Jeff did not spend more than $14 on the hot dogs and the bottle of water. Which inequality can be used to find h, the number of hot dogs that Jeff could have bought?

• F. 3ℎ−2 ≤14

• G. 3ℎ+2 ≤14

• H. 3ℎ−2 ≥14

• J. 3ℎ+2 ≥14

If x = 14, which equation is true?

• A. 3(20 - x) = 44

• B. 3(12 - x) = 6

• C. 2(x - 3) = 22

• D. 2x - 3 = 22

Lawrence’s father gave him 200 baseball cards. Each week, Lawrence purchases 25 baseball cards to add to his collection. Which inequality can be used to find w, the number of weeks after starting his collection when Lawrence will have more than 750 baseball cards in his collection?

• A. 200w + 25 < 750

• B. 25w + 200 < 750

• C. 200w + 25 > 75

• D. 25w + 200 > 750

What is the solution set for the inequality?

• F. 𝑥≤−5

• G. 𝑥≤5

• H. 𝑥≤1

• J. 𝑥≤−14

The angle measures of a triangle are shown in the diagram. What is the value of x?

• 25

• 20

• 10

• 28