One and Two Step Equation Review

Multiple Choice

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Which equation matches this situation?

• 50 + 20m = 290
• 20 + 50m = 290
• 50 + 20 = m
• 50m - 20 = 290

Multiple Choice

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15
• 2x + 5=15
• x + 2(5) = 15
• 2(x + 5) = 15

Multiple Choice

Terry had his car repaired at Ace Auto.  He was charged $50 per hour of labor plus $150 for parts.  His total bill for the repair before tax was $375.  How many hours of labor was Terry charged for?

• 2.5 hours
• 4.5 hours
• 7.5 hours
• 10.5 hours

Multiple Choice

Jared made sixty dollars mowing lawns over the summer. If he spent thirty-nine dollars buying new mower blades, how many seven dollar games could he buy with the money he had left?

• 21 games
• 3 games
• 7 games
• 99 games

Multiple Choice

Laura is 3 years older than twice Joseph's age.  If Laura is 27 years old, how old is Joseph?

• 12
• 15
• 24
• 30

Multiple Choice

Which expression is equivalent to 13a + 9 + 9b + 12a -7b

• 36ab

• 34a + 2b

• 25a + 9 + 16b

• 25a + 2b + 9

Multiple Choice

Brad, a teenager, saves up his monthly allowance over a period of six months to buy a pair of high-resolution headphones. He lends his friend, Jorge $10 from his savings. If Brad has $272 now, calculate his monthly allowance.

• 6x – 10 = 272

• 6x + 10 = 272

• 10x - 6 = 272

• 10x + 6 = 272

Multiple Choice

Timothy spent a total of $68 at Macys. His purchases included a pair of jeans at $32 and 2 t-shirts at $x each

• 2x - 32 = 68

• 2x + 32 = -68

• 2x + 32 = 68

• 2x + 68 = 32

Multiple Choice

5 less than a number is 15.

• x - 5 = 15
• 5 - x = 15
• 15 - x = 5

Multiple Choice

Translate the sentence into an equation:

The product of a number and two-thirds is 24.

• 2/3 + x = 24

• 2/3 x = 24

• 3/2 x = 24

• x + 2/3 = 24

Multiple Choice

Translate the sentence into an equation:

Four more than six times a number is 18.

• 6 + 4x = 18

• 4x + 6 = 18

• 6x + 4 = 18

• not enough info

Multiple Choice

Translate this phrase into an algebraic equation: A number tripled subtracted from 60 is the same as 21.

• 3c − 60 = 21

• 60 − 3 = 21c

• 60 − 3c = 21

• c(60 − 3) = 21

Multiple Choice

$$\frac{5}{8}x+2=17$$  

• x = -24

• x = 50

• x = 24

• x = -50

Multiple Choice

$$\frac{x}{7}+15\ =8\$$  

• x = -49

• x = -161

• x = 49

• x = 161

Multiple Choice

What is your first step to solve this equation:

$$\frac{g-13}{4}=\ 9$$  

• add 13 to both sides

• divide by 4

• subtract 13 from both sides

• multiply by 4

Multiple Choice

• 18
• -42
• 24
• -24

Multiple Choice

• 18.6
• -6.744
• 12.2
• -0.2

Multiple Choice

• -1
• -14.545
• -5.5
• -9.7

Multiple Choice

Did the person solving this equation make a mistake?

• Yes, they were supposed to multiply by 6.77

• yes, they were supposed to subtract 9

• yes, they should have gotten r = -4.65

• no, they did not make a mistake

Multiple Choice

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5