Final Exam Review: Intermediate

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x -10.95 = 12.57

• 12.57 + 10.95 = 89.22

Tags

CCSS.7.EE.B.4A

Jen wants to buy a new car for $18500. She pays $2500 at signing and wants to pay $250 per month. How many months until it is paid off?

• 18500 + 2500 = 250x

• 2500 -250x = 18500

• 250x + 2500 = 18500

• 2500(250)x = 18500

Tags

CCSS.7.EE.B.4A

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

• (x/2) - 7.75 = 10.25

• 7.75 + (x/2) = 10.25

• 10.25 + 7.75 = 3x

• 7.75 + (x/3) = 10.25

Tags

CCSS.HSA.CED.A.3

Thomas is thinking of a number.  If he triples his number and subtracts 13, the result is 305.  What is the number Thomas is thinking of?

• x + 3 - 13 = 305
• 3x + 13 = 305
• 3x - 13 = 305
• x - 13(3) = 305

Tags

CCSS.7.EE.B.4A

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 the number of tickets (t) that can be purchased if Penelope plans to spend $35.

• .50t + 20 = 35
• .50t = 35
• .50 + 20t = 35 
• .50t +35 = 20

Tags

CCSS.HSA.CED.A.3

Clean fast charges $2 per window plus a $15 fee. See Out charges $3 per window plus a $5 fee. When will their costs be the same?

• 2+15x=3+5x
• 2x+15=3x+5
• 2x-15=3x-15
• 2-15x=3-5x

Five less than the quotient of a number and 3 is -7.

• 5 - x/3 = -7
• x/3 - 5 = -7
• x/3 + 5 = 7

Translate the sentence into an equation
Four more than three times a number is 19.

• 3x - 4 = 19
• 4 + 3x = 19
• 7x = 19
• not enough information 

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. Write an equation to determine when their costs will be equal.

• 3x + 15 = x + 21

• 15x + 3 = 21x + 1

• 3x + 21 = 1x + 15

• 3x + 1 = 21x + 15

Tags

CCSS.HSA.CED.A.3

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Write an equation to determine when the two companies would cost the same.

• 14x = 4x + 20

• 4x + 14x = 20

• 14x + 20 = 4x

• 24x = 14x