Expressions and Equations Vol. 1

Write it For Me

Solve for x

Solve for y

WORDS

Systems of Equations

100

Write an expression for:

6 times a number

100

x + 3y = 8

x = 8 - 3y

100

y - x = 13

y = x + 13

100

Zach wants to buy a new movie for $25. He already has $11 saved and his mom will give him $2 for each chore he does. What is the least amount of chores Zach will have to do in order to save enough money to buy the movie?

2x + 11 = 25

x = 7

100

x - y = 8

2x + 2y = 24

x = 10, y = 2

200

Write an algebraic

expression for:

Seven added to five

times a number

7 + 5x

200

2x - 2y = 2

x = y + 1 or

x = 1 + y

200

2y - 4x = 10

y = 5 + 2x

200

Betty turned 71 this year and in three more years will be twice as old as her daughter. How old is her daughter now?

2x = 71 + 3

x = 37

200

𝑦 = -2𝑥
𝑦 = -8𝑥 - 36

x = -6, y = 12

300

Write an algebraic

equation for:

A number multiplied

by 6 is 42.

6x = 42

300

y - x + 3 = 0

y + 3 = x

300

x = 8 - y

y = 8 - x

300

Sylvia has $24 to spend at the movies. The ticket costs $15. She also bought a popcorn, soda, and candy bar that all cost the same amount. Assuming she spent all her money, how much did the candy bar cost?

24 = 15 + 3x

9 = x

300

𝑦 = 𝑥 + 10
𝑦 = 10𝑥 - 8

x = 2, y = 12

400

Write an algebraic

equation for:

A number divided by

4 is 3.

x/4 = 3

400

-5x + 10y = 15

x = 2y - 3

400

2x - 2y - 14 = 0

x - 7 = y

400

Rachel wants to buy a bike for $300 dollars. She currently has $150 and is saving $10 each week. The bike owner is106decreasing the price of the bike $15 every week he doesn’t sell it. How many weeks until Rachel has enough money to buy the bike?

300 - 15x = 150 + 10x

150 = 25x

6 = x

400

3x + 7y = 14

x - 5y = 12

x = 7, y = -1

500

Write an algebraic

equation for:

24 added to a number times 6 is 2 times a number.

24 + 6x = 2x

500

3x + 4y = x - 12

x = -6 - 2y or

x = -2y - 6

500

5x + 4y = x - 24

y = -x - 6 or

y = -6 - x

500

The elevator at an old hotel has a weight limit of 1120 pounds. Assume the average person weighs 150 pounds and has 10 pounds of luggage. What is the greatest number of people that can ride the elevator at one time?

1120 = (150 + 10)x

1120 = 160x

7 = x

500

-𝑥 - 2𝑦 = -11
-6𝑥 - 4𝑦 = -10

x = -3, y = 7