Create and solve equations and inequalities in one variable.

A cell phone company charges a $20 flat fee plus $0.05 for every minute used for calls. How many minutes can you talk if you spend $30?

Write an equation to represent the total cost.

• 0.05x + 20 = 30; 200 minutes

• 0.05x + 30 = 20; -200 minutes

• 30x + 0.05 = 20; 100 minutes

• 30x + 20 = 0.05; -100 minute

Tags

CCSS.7.EE.B.4A

- Your car broke down, and the final bill was $359. The part that was replaced cost $99, and the charge for the mechanic’s labor is $65 per hour. Write an equation to model this situation, then solve the equation for the number of hours the mechanic worked on your car.

• 99x + 65 = 359; 3 hours

• 65x + 99 = 359; 4 hours

• 65x + 359 = 99; -4 hours

• 359x + 99 = 65; 8 hours

Tags

CCSS.7.EE.B.4A

Juan is saving for a new computer and has saved $213. He is saving $3 a day and needs at least $654 for the computer he wants. How many days will it take him to save for the computer he wants? Set up an inequality and solve.

• x > 147

• x ≥ 147

• x < 147

• ≤ 147

It costs $12 to rent a bike and $2 per mile. Which equation models the total cost of renting a bike?

• x + y = 12

• y = 12x + 2

• y = 12x

• y = 2x + 12

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Jose bought 9 movie tickets for a total of $34. Adult tickets cost $6 each and child tickets cost $3.50 each. This system of equations can be used to find how much of each question type he has.

x + y = 9

6x + 3.50y = 34

where x represents the number of adult tickets and y represents the number of child tickets. The solution to the system is (1, 8). What is the correct interpretation of this solution?

• There are 1 adult ticket and 8 child tickets

• There are 8 adult tickets and 1 child ticket

• There are 9 adult tickets and 34 child tickets

• There are 9 child tickets and 34 adult tickets

Tags

CCSS.8.EE.C.8C

Solve for b: bx - 5 = 9

• b = 14x

• b=14/x

• b = 14 - x

• b=x14

Tags

CCSS.HSA.CED.A.4

Solve for W: P = 2W

• W = 2P

• W= $\frac{p}{2}$

• W= $\frac{2}{p}$

• W = P - 2

Tags

CCSS.HSA.CED.A.4

Solve for w: 2x + w = 10

• w = 8x

• w = 10 - 2x

• w = 10 + 2x

• W= $\frac{10}{2x}$

Tags

CCSS.6.EE.C.9

  Solve for x: 

Y= $\frac{xp}{3}$  

• X= $\frac{py}{3}$  
  

• X= $\frac{3p}{y}$  

• X= $\frac{p}{3y}$  

• X= $\frac{3y}{p}$  

Tags

CCSS.HSA.CED.A.4

Solve for X:

4(x – 3) = 16 – 3x

• x = 28

• x = -28

• x = 4

• x = -4