Inequalities and Equations Practice #3

Mike was to sign up for a club soccer team. Little Elm FC charges $100 per month plus a one-time fee of $200 for team gear. The cost of team Dallas FC is $125 per month plus a $150 one-time fee for team gear. Which inequality can be used to determine when Little Elm will be less than the Dallas FC?

• 100m + 200 < 125m + 150

• 100 + 200m < 125m + 150

• 200m + 100 > 125 + 150m

• 100m + 200 > 125m + 150

Tags

CCSS.7.EE.B.4B

Jessie wants to rent a sound studio to record songs he has written. Star Studio costs $45 per hour plus $50 fee; Royal Studio cost $35 per hour plus a $75 fee. Which inequality can be used to determine the number of hours of labor that would make Star Studios to charge less than Royal Studios?

• 45 + 50h < 35h + 75

• 45h + 50 > 35h + 75

• 45h + 50 < 35h + 75

• 45 + 50h > 75h + 35

Tags

CCSS.7.EE.B.4B

Jim is planning his year-end party at work. Marco’s Pizza charges $15 per person. Amore Pizza charges a $9 per person plus a setup fee of $75. Which inequality can be used to determine the number of people that would make Marco’s Pizza to charge less than Amore Pizza?

• 15p < 9p + 75

• 15p > 9p + 75

• 15p < 9 + 75p

• 15p > 9 + 75p

Tags

CCSS.7.EE.B.4B

Juan and Bri both got new jobs. Juan gets paid a salary of $40,000 a year. Bri gets paid a salary of $50,000 a year. Juan will receive a salary increase of $5000 per year, and Bri will be getting a salary increase of $3000 per year. Which equation can be used to find x, the number of years it will take Juan to earn the same salary as Bri.

• 40,000x + 5,000x = 50,000x + 3000

• 40,000 + 5,000x = 50,000x + 3000.

• 40,000x + 5,000 = 50,000x + 3000x

• 40,000 + 5,000x = 50,000 + 3000x

The measures of two angles are (8x - 60)° and (6x + 20)°. What is the value of x if these angles are congruent?

Hint: congruent means =

• 10

• 20

• 30

• 40

Tags

CCSS.7.G.B.5

The model represents an equation. What is the value of x?

• 3

• -3

• 9

Tags

CCSS.8.EE.C.7B

John bought a $8 movie ticket and 5 candy bars. Izzy went to an XD movie and paid $14 for a ticket and bought 3 candy bars. Each person spent the same amount. What is the cost of one candy bar?

Hint: Write an equation and solve.

• $1

• $2

• $3

• $4

Tags

CCSS.7.EE.B.4A

Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is being drained at 6 liters per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

Hint: Write an equation and solve.

• 25 minutes

• 50 minutes

• 100 minutes

• 150 minutes

Tags

CCSS.7.EE.B.4A

Sandbox #1 contains 10 pounds of sand. Lori will begin filling the Sandbox #1 at a rate of 2 pounds per minute. Sandbox #2 contains 60 pounds of sand. Mike will begin removing the Sandbox #2 sand at a rate of 0.5 pounds per minute.After how many minutes will both Sandboxes contain the same amount of sand?

Hint: Write an equation and solve.

• 20 minutes

• 30 minutes

• 40 minutes

• 50 minutes

Tags

CCSS.8.EE.C.8C

• x = 9

• x = 6

• x = 12

• x = 3