Equations from Problems

Margaret is a waitress at The Seafood Loft. She earns $3.00 an hour plus 90% of her tips. Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

• S = 3h + 9.0d

• S = 3d + 90h

• S = 90d + 3h

• 3h + 0.90d = S

Tags

CCSS.6.EE.C.9

Lisa went to the mall to do her back-to-school shopping. When she returned home, she noticed that the number of shirts(s) she purchased was 3 more than twice the number of pants(p) she bought. Write an equation that can be used to represent the number of shirts Lisa purchased

• p = 3 + 2s

• s + 2p = 3

• 2p = s + 3

• s = 3 + 2p

Tags

CCSS.6.EE.C.9

ABC Auto Rental charges $150 a week, plus $0.10 per mile. Which equation represents the relationship between the number of miles(x) and the total cost in dollars(y) for a 2-week period?

• y = 2(150)(0.10x)

• y = 150 + 2(0.10x)

• y = 2(150) + 0.10x

• y = 2(150+0.10x)

Tags

CCSS.6.EE.C.9

A wood board 100 centimeters long is cut into two pieces. One piece is 26 centimeters longer than the other. Which equation models this scenario?

• 2x + 26 = 100

• 2x - 26 = 100

• x + 26 = 100

• x - 26 = 100

Two consecutive integers have a sum of 123. Which equation models this scenario? (HINT: 5 and 6 are consecutive integers)

• 2x - 1 = 123

• 5(6) = 123

• (x)(x + 1) = 123

• x + x + 1 = 123

Tags

CCSS.HSA.CED.A.1

Two consecutive even integers have a sum of 246. Which equation models this scenario? (HINT: 8 and 10 are consecutive even integers)

• 8 + 10 = 26

• (x)(x + 2) = 246

• 2x + 2 = 246

• x + 2 + x + 2 = 246

Peter and his best friend found some money buried in a field. They split the money evenly, each getting $26. Which equation models this scenario?

• x + x + 2 = 52

• x/0.5 = 26

• 0.5x = 26

• 2x = 26

Tags

CCSS.HSA.CED.A.3

Mallory bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if she spent $89.22? Which equation models this scenario?

• 10.95x + 12.57 = 89.22

• 89.22x - 10.95 = 12.57

• 12.57x + 10.95 = 89.22

• 12.57 + 10.95 = 89.22

Tags

CCSS.HSA.CED.A.3

Alex and 2 friends go to the movies. A ticket cost $7.75. They decide to split the cost of the popcorn. If they each spent $10.25, how much did the popcorn cost? Write the equation which represents this situation.

• 10.25 + 7.75 = 3x

• 7.75 + (x/3) = 10.25

• 7.75 + (x/2) = 10.25

• (x/2) - 7.75 = 10.25

Tags

CCSS.HSA.CED.A.3

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)