Model Algebraic Equations

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

Skye bought pizza and soda for her End of Summer party. If she spent $12.57 on the sodas and $10.95 for each pizza. 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

Ethan works at a local restaurant. He earns $8 an hour, plus tips. If Ethan earned $350 last week, which included $270 in tips. Write an equation to model the situation if he worked h hours.

• 8/h + 270 = 350

• 350 = 270 + 8 + h

• 350 = 270 + 8h

• 350 -270 = h

Annasia had $26 dollars to spend on school supplies. After buying 10 pens at the same price, she had $14.30 left. Write an equation to determine how much each pen cost.

• 14.30/p + 10 = 26

• 26/p = 24.30

• 10p - 14.30 = 26

• 14.30 + 10p = 26

You have $16 and a coupon for a $5 discount at a local supermarket. A bottle of olive oil costs $7. If x represents the number of bottles of olive oil you buy, which equation models the situation?

• 16 - 5x = 7

• 7x - 5 = 16

• 7x + 5 = 16

• 16 - 7x = 5

Two college friends rent an apartment. They have to pay the landlord two months rent and a $500 security deposit when they sign the lease. The total amount they pay the landlord is $2800. Write an equation to model the situation if the monthly rent is x.

• 500 + 2x = 2800

• 500 - 2x = 2800

• 2x - 500 = 2800

• 2800 - 500 = x

A bowling league requires you to buy a bowling ball for $45 and pay $12 for each game. If you spent $117 total, which equation models the situation for x games?

• 12x - 45 = 117

• 117 + 12x = -45

• 12x + 45 = 117

Anna started a dog walking business. So far she has $117. She spent $45 on supplies and charges $12 per hour. Which equation models the situation for x hours?

• 12x - 45 = 117

• 117 + 12x = -45

• 12x + 45 = 117

The sum of 117 and 12 times a number is negative 45. Which equation models this situation?

• 12x - 45 = 117

• 117 + 12x = -45

• 12x + 45 = 117

What is represented by the model?

• 7  = 2-x-4

• 7  = 2+x+4

• 7= 2x - 4

• 7= 2x+ 4