Writing & solving equations

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

• 4m + 8
• 8m - 4
• 8m + 4
• 4m - 8

One-fourth of a number is -60.

• 4x = -60

• $\frac{1}{4}x\ =\ -60$

• x = -60

An electrician charges $25 to make a house call, plus $40 for every hour of work. Which equation shows how to find C, the total cost for having the electrician work for h hours?

• C = 25+40h
• C = 65+h
• C = 65h
• C = 25h +40

2. Cheryl gets paid $8 per hour at her job at the record store.  She made a total of $96 last week.  Write a multiplication equation to show how many hours she worked last week.

• 96h = 8
• h/96 = 8
• 8h = 96
• h/8 = 96

Write an equation for
 17 less than H equals 42

• 17-H=42
• H-17=42
• H+17=42
• 17+H=42

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

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

A bag of candy was shared equally among 4 friends.  Each friend gave away 7 pieces of candy.  They each ended up with 8 pieces of candy.  Write an equation to find how much candy was in the bag at the beginning.

• c/7 - 4 = 8
• c/4 + 7 = 8
• 4/c - 7 = 8
• c/4 - 7 = 8

Jon ate 3 more hotdogs than Kalia.  Amarion at twice as many as Kalia.  They ate 27 hotdogs all together.
Which represents the number of hotdogs Kalia ate?

• x
• x + 3
• 2x
• 2x + 3

The quotient of z and 10 is equal to 32.

• z/10 = 32
• 10/z = 32
• 10/32 = z
• 32/z = 10