Vocabulary
What are the following called?
4x and -9x
like terms
7x+5x−8=40
x=4
Teresa earns a weekly salary of $925 and a 5% commission on her total sales. Ramón earns a weekly salary of $1,250 and a 3% commission on sales. What amount of sales, x, will result in each of them earning the same amount for the week?
0.05x + 925 = 0.03x + 1250
0.02x + 925 = 1250
0.02x = 325
x = $16,250
Quantities that represent unknown values are called
______________
Variables
10x +50 =6x +80
x=7.5
Veronica is choosing between two health clubs. Planet Fitness is $23 for the membership and $24.75 for the monthly fee. Genesis Health Club is $53 for the membership and $17.25 for the monthly fee. After how many months will the total cost for each health club be the same?
m=4
What is 8 called in the term: 8x?
Coefficient
12x + 20 +10=10x - 12 + 40
x=-1
A red candle is 8 inches tall and burns at a rate of 7/10 inch per hour.
A blue candle is 6 inches tall and burns at a rate of 1/5 inch per hour.
After how many hours will both candles be the same height? Enter your answer in the box.
x = 4
Fill in the blank.
Operations that undo each other are called
________ _________
inverse operations
4(5x+3)+20=18x-12+50
x=3
Naomi and Claire are painting a mural. Naomi paints 2 square feet per hour and has already painted 16.5 square feet.
Claire paints 4 square feet per hour and has already painted 7.5 square feet.
How many more hours will it take for Naomi and Claire to paint an equal total number of square feet? Enter your answer in the box.
x = 4.5