Application Equations

The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers. (Check both numbers).

• 31

• 43

• 50

• 24

Keisha needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 5 hours and charged her $133 for parts. The total was $728. Write an equation to find the cost per hour, use h as the variable.

Keisha needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 5 hours and charged her $133 for parts. The total was $728. What was the cost of labor, per hour?

A group of friends wants to go to the amusement park. They have $246 to spend on parking and admission. Parking is $18.75, and tickets cost $25.25 per person, including tax. The following equation​ (a)   would be used to find out how many people can go to the park.

• 25.25p+18.75=246

• 18.75p+246 = 25.25

• 25.25 + 18.75p =246

• 246-25.25= 18.75p

A copier machine can produce 500 copies per minute. This can be modeled by C(m) = 500m. The copier can only run for 4 hours (240 mins) before needing a break.

What does the DOMAIN represent?

• Copies made

• minutes on

• 500

• 4 hours

A group of friends wants to go to the amusement park. They have $246 to spend on parking and admission. Parking is $18.75, and tickets cost $25.25 per person, including tax. How many people can go to the amusement park?

• 7 people

• 8 people

• 9 people

• 10 people

Ryan has a points card for a movie theater. He receives 85 rewards points just for signing up. He earns 7.5 points for each visit to the movie theater. He needs 160 points for a free movie ticket. Write an equation to model this situation, use v to represent the number of visits.

The length of a flat screen TV is 5 inches less than 3 times its width. If the perimeter of the TV is 150 inches, find the dimensions. The width of the TV is ​ (a)   and the length of the TV is ​ (b)   .

• 20 inches

• 55 inches

• 36 inches

• 113 inches

• 17.5 inches

• 63 inches

Find three consecutive numbers whose sum is 84. Make sure to write the numbers in numerical order.

Organize these options into the right categories

Groups:

(a) One Solution

,

(b) No Solution

,

(c) Infinite Solutions

• 3x - 4 = 2x - 4

• 7x - 5 = 4x + 3 + 3x

• 2(6x - 3) = 3(4x - 2)

• x + 4 = x + 4

• 3x = 9

• -2(3x + 4) = -6x + 10

• 0.5y - 7 = 10