Write 2 step equations

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By Bills, Melanie

Multiple Choice

You want to buy a pet rabbit that costs ​$242. You already have ​$62 and you plan to save ​$12 per week. If w represents the number of weeks until you have enough money to buy the rabbit​, what equation could you use to find the value of​ w? Use pencil and paper.

• 12w - 62 = 242

• 12 - 62w = 242

• 62 - 12w = 242

• 12w + 62 = 242

Multiple Choice

You buy 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears sell for the same price per pound. The total​ cost, after using a 75¢​-off ​coupon, is ​$4.12. If c represents the cost of the fruit in dollars per​ pound, what equation could you use to find the value of​ c?

• 4.1c + 0.75 = 4.12

• 4.1c - 75 = 4.12

• 2.75c + 0.75 = 4.12

• 4.1c - 0.75 = 4.12

Multiple Choice

A jar contains 18 ​strawberry, 24 ​cherry, and 19 ​lime-flavored candies. The rest of the candies are chocolate. There are 82 candies in all. If n represents the number of chocolates in the​ jar, what equation could you use to find​ n?

Multiple Choice

At a graduation​ dinner, an equal number of guests were seated at each of 12 large​ tables, and 8 ​late-arriving guests were seated at a smaller table. There were 128 guests in all. If n represents the number of people seated at each of the large​ tables, what equation could you use to find the value of​ n?

Multiple Choice

• 4(7y + 8)

• 4(-7y + 8)

• 7(4y - 5)

• 4(7y - 8)

Multiple Choice

• 21.45 + 2x

• 15.05 + 10x

• 21.45 - 10x

• 21.45 + 10x

Multiple Choice

Write an equivalent expression without parentheses. Then simplify the result.

m−​(8−​3m)

Multiple Choice

Level 3

Solve for w

• w = 2

• w = 4

• w = 6

• w = 8

Multiple Choice

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  Write an equation for how many months has Jim been a member of the gym?

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

Multiple Choice

A school is taking a trip to a museum. The fee for the bus is $85 and the museum charges a fee of $12 per student. The school paid a total of $613. Choose the equation to find out how many students went on the trip.

• 12s+ 85 = 613

• $$\frac{s}{12}+\ 85\ =\ 613$$

• 85s + 12 = 613

• 85 - 12s = 613

Multiple Choice

Michelle is a server in a restaurant. On a weekend night, Michelle earned $4 an hour and $65 in tips. She made a total of $93. Choose the equation to find how many hours she worked

• 4h + 93 = 65

• $$\frac{h}{4}\ +\ 60\ =\ 93$$

• 4h + 65 = 93

• 7h + 65 = 93

Multiple Choice

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. If Bob charged $350, which equation models this situation?

• 15x + 40 = 350

• 40x + 15 = 350

• y = 15x

• 15x - 40 = 350

Multiple Choice

While at the music store, Drew bought 5 CDs, all at the same price. The tax on his purchase was $6, and the total was $61. Which equation shows what the price of each CD is?

• 5x + 6 = 61
• x/5 + 6 = 61
• 5/x + 6 = 61
• x + 5 + 6 = 61

Multiple Choice

Casey has $50 to spend at Best Buy. She wants to buy a DVD for $14 and some CDs that cost $12 each. Which equation shows how many CDs can she buy?

• 12 + 14x = 50

• 12x + 14 = 50

• 50 - 14 - 12 = x

• 50x + 12 = 14

Multiple Choice

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. Write an equation that represents this scenario if the total cost was $39.

• 11x + 6 = 39
• 11x - 6 = 39
• 11 + 6x = 39
• 66x = 39

Multiple Choice

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

• .50x + 20 = 35
• .50x = 35
• .50 + 20x = 35 
• .50x - 20 = 35

Multiple Choice

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

Multiple Choice

An office manager paid $675.95 for computer equipment. The office manager bought one monitor for $127.95 and hard drives for $68.50 each. Write an equation to find x, the number of hard drives the office manager bought.

• 127.95x + 68.50 = 675.95

• 68.50x + 127.95 = 675.95

• 675.95x + 127.95 = 68.50

Match

Match the following equations with their answers.

• x = 2

• x = 5

• x = 12

• x = 4

• x = 9

• $$3x=6$$

• $$x+5=10$$

• $$\frac{x}{3}=4$$

• $$x-1=3$$

• $$2x=18$$

Multiple Choice

There were 331 students that went on a field trip. Each of the six buses were filled and 7 students traveled in a van. Which equation shows how many students were on each bus?

• 6 + 7x = 331

• 331 - 6x = 7

• 6x + 7 = 331

• 6x + 7y =331

Multiple Choice

Write and solve a two-step equation for the word problem. A taxi service charges you $1.50 plus $0.60 per mile for a trip to the airport. Angie paid $13.50 for her ride to the airport. How far did she travel?

• 20 miles

• 15 miles

• 10 miles

• 5 miles

Multiple Choice

Write and solve a two-step equation for the word problem. Jennifer bought a shirt and 8 pairs of socks for $22.95. Each pair of socks cost the same amount. If the shirt cost $8.95, how much did each pair of socks cost?

• $1.75

• $2.00

• $1.50

• $1.25