Solving Equations Applications

Amir wants to buy a video game that costs $70, but he only has $20. He can earn $10 for each car he washes. How many cars he must wash to have enough money to buy the game (x)?

• $70 - $20 = $50, $50 / $10 = 5, x= 5 cars

• $70 / $10 = 7, x= 7 cars

• $70 - $20 = $40, $40 / $10 = 4, x= 4 cars

You bought a $5 gift card and 5
stuffed animals. You spent a total of $30. How
much did each stuffed animal cost (x)?

• $30/5= $6, x= $6

• $30 - $10 = $20, $20 / 5 = $4, x = $4

• $30 - $5 = $25, $25 / 5= $5, x = $5

There were 331 students that went on a field trip. Six buses were filled and 7 students traveled in a van. How many students were on each bus?

• 6 + 7x = 331

• 331 - 6x = 7

• 6x + 7 = 331

• 6x + 7y =331

Jen wants to buy a new car for $18,500. She pays $2,500 at signing and wants to pay $250 per month. How many months until it is paid off?

• 18,500 + 2,500 = 250x

• 2,500 - 250x = 18,500

• 250x + 2,500 = 18,500

• 2,500 (250)x = 18,500

WRITE AN EQUATION

Imani spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

• x/2 + 4 = 12

• x/2 - 4 = 12

• 12 - 4 = x

• 12 - 4 = -x/2

Rachel and Sharon are splitting up their Pokemon cards.  Rachel has 4 fewer than 3 times as many as Sharon.  Together they have 100 cards.  Which equation could be used to solve for how many cards Sharon had originally?

• n + (3n - 4) = 100
• n - (3n - 4) = 100
• n + (4 - 3n) = 100
• 4 - 3n = 100

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

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

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

• C = 0.20x + 15
• C =15 (0.20x)
• C = 15 + x + 0.20
• C = 0.20 + 15x

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

• j + 26 = 47

• 26j = 47

• j - 26 = 47

• 47j = 26