Solve Linear Equations and Inequalities

The solution x is...

• 2

• 3

• 4

• 5

The solution x is...

• -2

• -5

• -6

• -10

Solve

• n < 6

• n > 6

• n < 14

• n > 14

²/₃(5x + 6) = 34

• 51

• 45

• 8

• 9

Solve. 
-5x + 1.5 = -19.5

• -3.6

• 4.2

• 3.6

• -4.2

Solve the equation shown. Show the work you do in finding your final answer on the paper provided.

Mathematical Equivalence

ON

Answer explanation

Solve.

• x = 24

• x = 12

• x = 17.5

• x = 19.5

Alan has a business mowing lawns for $20 per lawn and raking leaves for $0.75 per pile.  His goal is to earn exactly $30 each time he mows a lawn and rakes leaves.  If x represents the number of piles of leaves, which equation models Alan's goal?

• x + 20 = 30

• 75x + 30 = 20

• 0.75x + 20 = 30

• 30x + 20 = 0.75

A twelve inch candle and an 18 inch candle are lit at 6pm. The 12 inch candle burns 0.5 inches every hour. The 18 inch candle burns two inches every hour. At what time will the two candles be the same height? Identify the equation that models this situation.

• 12 - 0.5x = 18 - 2x

• 12 + 0.5x = 18 + 2x

• 12x - 0.5 = 18x - 2

• 12 - 6x = 18 - 2x 

Your class needs to raise $1000 for a field trip. You have already raised $250. You all decide to sell coupon books. You earn $12.50 for each book sold.
Choose the inequality that represents the number of books you should sell to meet or exceed your goal.

• b(250 + 12.50) ≥ 1000

• 250 + 12.50b ≥ 1000

• 250 + 12.50 + b ≥ 1000

• b ≥ 1000 - 250 - 12.50