Word Problems and Multi-Step Equations

Word Problems and Multi-Step Equations

by May Beirut)

Multiple Choice

2. Cheryl gets paid $8 per hour for her job at the record store.  She made a total of $96 last week.  Which equation models this situation?

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

Multiple Choice

Write an equation models the following statement:
 17 less than h equals 42

• 17-h=42
• h-17=42
• h+17=42
• 17+h=42

Multiple Choice

Mei was going to sell all of her stamp collection to buy a video game.  After selling half of them she changed her mind.  She then bought nineteen more.  How many did she start with if she now has 45?

• 2/x + 19 = 90
• x/2 + 19 = 45
• 2x +19 = 109
• 19x + 2 = 71

Multiple Choice

Pizzazz Publications is having some books printed. The printer charges $800 plus $5 per book. What equation could help me find how many books can be printed for $4,000?

• 800 + 5x = 4000
• 800x + 5 = 4000
• 4000 + 5x= 800
• 800 + 5 = 4000

Multiple Choice

The space club is having some posters printed. The printer charges $250 plus $2 per poster. How can I figure out how many posters I could print for $1,000?

• 250x + 2 = 1000
• 1000 + 2x = 250
• 250 - 2x = 1000
• 2x + 250 = 1000

Multiple Choice

The length of a rectangular field is 75 yards. This is 3 yards more than twice the width. How could I find the width of the field?

• 2w + 3 = 75
• 2/w + 3 = 75
• 2w - 3 = 75
• 3w = 75

Multiple Choice

Mr. Piper's plumbing needed repairs. The plumber charged $98 for parts plus $45 per hour for labor. If the bill totaled $458, how could I find out the hours of labored required?

• 98x + 45 = 458
• 98 + 45x = 458
• 45 + 98 = 458
• 45x - 98 = 458

Multiple Choice

Eight less than 7 times a number is the same as 4 more than 3 times the number

• x + 3 = x
• 8 = x + 4 + 3
• 8 - 7n = 4 + 3n
• 7x - 8 = 3x + 4

Multiple Choice

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.

• h = 2C + 15
• C = 15h + 2
• h = 15C + 2
• C = 2h + 15

Multiple Choice

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)