A L G E B RA I

3RD NINE WEEKS REVIEW

PROBLEM #1

•The amount of food Carl’s dog eats, c, is two times the amount of food that Amy’s dog eats, a. Write an equation that shows the amount of food Amy’s dog eats?

PROBLEM #2

•A rainwater collection tank is nearly full at a level of 120 inch. The water will be used at a rate that lowers the level 6 in. per day. Write an equation that can be used to determine the time it will take (in days) to lower the level to 3 in.?

PROBLEM #3

• Sara has volunteered to contribute juice boxes and health bars to a care package. She has $25 to spend. The juice boxes cost $1.25 each, and the health bars cost $0.75 each. Write an inequality shows how many juice boxes, j, and health bars, b, she could buy and stay within her budget?

PROBLEM #4

•An air conditioner cools a room from 80°F to 74°F in 15 minutes. What is a reasonable estimate of the rate of cooling in °F per minute?

PROBLEM #5

•Mr. Alfonso’s class plans to make 500 cookies to sell at the bake sale and needs to raise at least $700. What is a reasonable price per cookie to achieve this goal?

PROBLEM #6

•Perry walks to school, a distance of 1.4 miles. If he must arrive at school within 30 minutes, what is a reasonable rate for him to walk in miles per hour?

PROBLEM #7

• Ed buys 6 postcards and 4 souvenir magnets for $16.90. Bill buys 3 postcards and 3 magnets for $10.80. Write a system of linear equations that can be used to solve for the cost of each postcard, p, and each magnet, m?

PROBLEM #8

• The bake sale sold pies for $8 each and cookies for $1 each. Total sales of these two items were $108, and 10 times as many cookies were sold as pies. Write a system of linear equations that can be used to solve for the number of pies, p, and cookies, c, sold?

PROBLEM #9

• Emily has 4 fewer than twice as many music files as Meredith. They have a combined number of 86 music files. Write a system of linear equations that can be used to solve for the number of music files Emily has, e, and the number of music files Meredith has, m?

PROBLEM #10

• Blake has 31 pens, each of which is either red or blue. The difference between the number of red pens and twice the number of blue pens is 3. Blake wrote the following system of equations where x was the number of red pens and y was the number of blue pens:• x + y = 31• x - 2y = 3

Is the solution to this system of equations reasonable?

PROBLEM #11

•The volume of a cube is given by the expression x6y3. Which expression gives the length of a side of the cube?

PROBLEM #12

• Simplify the expression.

PROBLEM #13

• Janelle deposited $1600 in an account paying 5.25% interest compounded annually. She makes no additional deposits. Write a function that models this situation?

PROBLEM #14

•There was 9 inches of snow on the ground. As the temperature rose, the number of inches of snow on the ground decreased by 10% each day. Write a function that models this situation?

PROBLEM #15

• In 2007, a satellite television company subscribed 904 customers to its service. Each year since 2007, subscriptions have increased by 3.5%. If this trend continues, about how many subscriptions will the company have by 2025?

PROBLEM #16

•Write an inequality represented by this graph?