Math Spiral Review: U2 Linear Equations and Inequalities

Which equation is equivalent to 3x + 7 = 22?

• x = 5

• x = 15/3

• x = 29/3

• x = 15

Solve for x: 2(x - 3) = 14

Mathematical Equivalence

ON

Which inequality represents "a number plus 5 is at most 12"?

• x + 5 ≤ 12

• x + 5 ≥ 12

• x - 5 ≤ 12

• 5x ≤ 12

What is the solution to 3x - 6 > 15?

Mathematical Equivalence

ON

Which property justifies adding the same number to both sides of an equation?

• Commutative property

• Associative property

• Addition property of equality

• Distributive property

Jamal is 5 years older than twice Kira's age. If their combined age is 41, how old is Kira?

• 12

• 13

• 14

• 15

A rectangle's length is 3 inches more than its width. If the perimeter is 26 inches, what are the dimensions?

• Width: 5 inches, Length: 8 inches

• Width: 6 inches, Length: 9 inches

• Width: 4 inches, Length: 7 inches

• Width: 7 inches, Length: 10 inches

Sarah has 15 more cards than twice what Jack has. Altogether they have 81. How much does Jack have?

Mathematical Equivalence

ON

A number decreased by 7 is equal to 4 times the same number increased by 2. What is the number?

• -3

• 1

• 2

• 3

A taxi charges a base fare of $3.50 plus $0.75 per mile. Which inequality represents a ride costing no more than $20?

• 3.50 + 0.75m ≤ 20

• 3.50 + 0.75m ≥ 20

• 3.50 + 0.75m < 20

• 3.50 + 0.75m > 20