Topic 6 Review (Pre-Alg)

Neil’s airplane needs a full tank of fuel to travel 2,600 miles. How many tanks of fuel, t, does Neil’s airplane need to travel no more than 7,800 miles? Write an inequality to represent the situation.

• t < 2,600

• 2,600t < 7,800

• 2,600t > 7,800

• 7,800t > 2,600

Tags

CCSS.6.EE.B.8

Anya budgets $200 for commuting to work each month. She buys a monthly bus pass for $72.50 and spends $7.25 each time she buys lunch. Write an inequality that describes the number of days, d, that Anya can afford to buy lunch.

• 72.50 + 7.25x > 200

• 72.50 + 200 > 7.25x

• 72.50 + 7.25x < 200

• 72.50 + 7.25x < 200

Tags

CCSS.7.EE.B.4B

Daniel needs to learn how to tie at least 35 different knots to earn a badge from his scout troop. He already knows how to tie 18 knots. Write and solve an inequality to describe the number of knots, k, that Daniel must still learn to tie.

• x + 18 > 35

• x + 18 < 35

• x + 35 > 18

• x + 35 < 18

Tags

CCSS.7.EE.B.4B

To prepare for a party, Mark buys a small bunch of balloons for $6.00 and gift bags that cost $5.15 each. He spends a total of $72.95 on the balloons and a gift bag for each person invited to the party. Write an equation that can be solved to find the number of people Mark invited to the party, x.

• 6 + 72.95 = 5.15x

• 5.15 + 6x = 72.95

• 5.15x+ 6 = 72.95

• 72.95 - 5.15x= 6

Tags

CCSS.HSA.CED.A.3

Solve the equation 6 + 5.15p = 72.95

• x = 13.00

• x = 15.33

• x = 42.05

• x = 61.80

Tags

CCSS.7.EE.B.4A

Use the properties of equality to find the value of x in the equation: 12(5x - 4.5) = 36

• a. x = -0.3

• b. x = 0.675

• c. x = 1.5

• d. x = 10.5

Tags

CCSS.7.EE.B.4A

A painter is making a square that is centered in the middle of a square canvas. The canvas is 22 3/4 inches long on each side. The square the painter is making is 9 1/2 inches long on each side. Approximately how far is it from the edge of one side of the painted square to the closest edge of the canvas?

• 7 inches

• 8 inches

• 13 inches

• 15 inches

Nadia is selling tickets for a school event. She has already sold 17 tickets. Her goal is to sell at least 100 tickets. Each day she is able to sell up to 10 tickets. What is the minimum number of days Nadia will need to sell the tickets to reach her goal?

• 5

• 6

• 8

• 9

A group of adults and students buy tickets for a dance performance. Each ticket costs $4.65. The total cost of the tickets for the group is $93.00. There are exactly 3 adults in the group. What is the number of students in the group?

• 17

• 20

• 23

• 31

Tags

CCSS.7.EE.B.3

Which of the following shows the equation after both sides have been distributed correctly? -4(x - 2) = 5(3x - 8)

• -4x - 8 = 15x - 40

• -4x - 6 = 15x - 3

• -4x + 8 = 15x - 40

• -4x + 8 = 15x + 40