Equations and Inequalities

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)
• 222.5 = 35 + 0.75m
• 222.5 = 0.75 + 35m
• 222.5 = 0.75(m + 35)

Tags

CCSS.7.EE.B.4A

Alex and 2 friends go to the movies. A ticket costs $7.75. They decide to split the cost of the popcorn. If they each spent $10.25, how much did the popcorn cost?

• (x/2) - 7.75 = 10.25

• 7.75 + (x/2) = 10.25

• 10.25 + 7.75 = 3x

• 7.75 + (x/3) = 10.25

Emily, a video game enthusiast, saved $1000 to spend on a video game player and games. The player costs $300. The games cost $49 each. Write an inequality to show, g, how many games she can buy along with the player.

• 300g + 49 ≤ 1000
• 1000 < 49 + 300
• 49g + 300 ≤ 1000
• 300 + 49g ≥ 1000

Tags

CCSS.6.EE.B.8

CCSS.6.EE.B.6

Which situation can be represented by the inequality

15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

8v - 4(v + 8) = 8

• 2
• 10
• 4
• -4 

Tags

CCSS.8.EE.C.7B

³/₄(6x + 2) = 15

• 3
• 6
• 18
• 20

Tags

CCSS.7.EE.B.4A

Solve: -7(z - 6) = -70

• 16
• -16
• 8
• -1/2

Tags

CCSS.7.EE.B.4A

Solve the inequality shown below:

4 (4m - 3) - (m -5) = -52

• m = -3

• m = -4

• m = 3

• m = 4

11 > -3y + 2

• y < -3

• y > -3

• y < 3

• y > 3

You flip an inequality symbol when you...

• subtract
• multiply and divide only
• multiple by a negative number
• multiple or divide by a negative number

Tags

CCSS.6.EE.B.8