Unit 7 Check for Understanding Lesson 14

Write an equation for the problem below, and solve it. Be sure to define your variable.

The regular price of your favorite jeans has been reduced by $18. They are now on sale for $26. What was the regular price?

(p-18=26)

The regular price (p) is

• $44

• $18

• $26

• $8

Match the following

• 9x+27

• 34(x − 1)

• 34x-34

• 5(2x + 1)

• 10x+5

• 9(x + 3)

Juan got on an elevator at the middle floor of a building, went up 4 floors, down 3 floors, up 1 floor, and down 9 floors, where he left the elevator on the ground floor (the ground floor is equal to 0). 

1. How many floors are in the building?

Answer explanation

You can use the following equation to determine the floor that Juan started on:

f + 4 + (-3) + 1 + (-9) = 0

If you solve this, you get f = 7. If he started on floor 7 and it is in the center of the building with the first floor as 0, then there are 14 floors total (7 floors below floor 7 (0-6) and 7 floors above floor 7 (8-14)).

Western Air Lines will allow you to fly with suitcases that weigh no more than 50 pounds. If your suitcase weighs 8 pounds and the schoolbooks you need to bring on your trip weigh 11 pounds, how many pounds of clothes and other items can you pack?

You want to buy a new computer that costs $2250. You check your savings-account balance and realize that to buy the computer, you will need $125 more than what you have in your savings account. How much money do you have in your savings account?

• $125

• $2025

• $2125

• $2375