Math 1 Check-In #2 Review

A high school booster club plans to sell bags of popcorn at their basketball games.

• It cost the club $700 for a popcorn machine.

• It costs them an additional $0.25 to make each bag of popcorn the club sells.

• The club sells each bag of popcorn for $1.50.

Write an equation that can be used to determine x, the number of bags of popcorn the booster club must sell so that the total sales equals the total costs.

• 1.25x = 700

• .25x = 700

• 1.50x = 700

• 1.50x - .25x = 700

Meredith needs $399 to buy a tablet computer. She wants to earn enough money babysitting to cover at least two-thirds the cost. If she earns $8 an hour babysitting, which inequality can be used to solve for b, the number of hours she must babysit?

• 399 – 8b ≤ 133

• 399 – 8b ≤ 266

• 8b – 133 ≥ 266

• 399 – 8b ≥ 133

The length of a rectangle is 4 feet less than 3 times its width. The perimeter of the rectangle is 54 feet. What equation can be used to find the width (w) of the rectangle?

• w(3w−4)=54

• 2(4w−3)+2w=54

• 2(3w−4)+2w=54

• (3w−4)+2w=54

Amy is given the following system of equations.

3x−2y=6

x+4y=23

Amy plans to find the slope and y-intercept of each equation to help her solve the system by graphing. What is the slope and y-intercept of the first equation in the system?

• The slope is 3/2, and the y-intercept is −3.

• The slope is −3/2, and the y-intercept is 3.

• The slope is 3, and the y-intercept is 6.

• The slope is 3, and the y-intercept is −2.

What are the solutions to this system of equations?

2y=4x+12

y=2x−6

• No Solutions

• Infinitely many solutions

• (-3,6)

• (3,-6)

Look at the system of equations below.

x−3y=6

−4x+12y=−24

What are the solutions to this system of equations?

• (-3,9)

• Infinitely Many

• No solutions

• (6,-2)

• 53

• 73

• 77

• 96

Mandy receives $3 for walking her neighbor's dog. She puts this money in a savings account. She decides she will walk more dogs in the neighborhood so that she can save more money. Mandy's goal is to triple the amount she saves every week starting with the $3 she earned in week 1. Which formula correctly represents her savings after n weeks on this plan? Select all that apply. (HINT: There are two possible answers.)

Caleb’s pay for h hours of work can be modeled by p₁(h) = 8.25h. Juanita’s pay for h hours worked is p₂(h) = 8.75h. What steps must be taken to calculate the difference in total pay given the number of hours worked?

• Subtract hours worked by Juanita from hours worked by Caleb.

• 
  Subtract the hours worked by Caleb from the hours worked by Juanita.

Adina is starting a band and wants to buy a guitar and amplifier. The cost of the guitar is g(m) = 680 + 10m where m is time in months. The amplifier cost is represented by the function a(m) = 450 - 5m. Adina hopes to have enough money saved up to buy both items in 4 months. How much will she need?

• $290

• $1070

• $1,150

• $1,190