Unit 2 Review Equations, Inequalities

1. Manny and Luis spent the same amount of money on school supplies. Manny bought a binder for $5 and spiral notebooks for $1 each. Luis bought a binder for $8 and spiral notebooks for $0.75 each. How many spiral notebooks did each boy purchase if they each bought the same number of spiral notebooks?

• 8

• 10

• 12

• 16

9x - 7 = 5x + 5

0.4x - 1.5 = 0.6x + 1.1

1. Bill has $590 in his account. He earned $15 per hour for x hours, and deposited his earnings into his account. Jeremy has $545 in his account. He earned $20 per hour for x hours, and deposited his earnings into his account. They both worked the same number of hours and now have the same amount of money. What is the number of hours that each person worked? Write and solve an equation.

• 15x+590=20x+545; x=9

• 20x+590=15x+545; x=9

• 15x+590=20x+545; x=35

• 590-15x=545-20x; x=1.3

1. Roger and Novak have a hot dog eating contest. After the first 2 minutes, Roger has consumed 8 hot dogs and Novak has consumed only 7 hot dogs. From that point, Roger eats 3 hot dogs each minute while Novak eats 4 hot dogs per minute. Which inequality will determine after how many minutes, m, will Novak have eaten more hot dogs than Roger?

• 8+3m>7+4m

• 8+3m<7+4m

• 3+8m>4+7m

• 3+8m<4+7m

1. At one point during the summer, Marsha has read 500 pages of her summer reading assignment, and Jan has read 460 pages. Marsha reads 20 pages per week for the remainder of the summer, and Jan reads 30 pages per week for the remainder of the summer. Which equation can be used to determine, w , the number of weeks it take before the girls have read the same number of pages?

• 500+30w=460+2w

• 30+500w=20+460w

• 20+500w=30+460w

• 500+20w=460+30w

2x-28=-7x+8

-5x-9=-2x+6

 $-\frac{3}{4}a-6=\frac{a}{8}+8$