Math Finding the Variable Worksheets

The sum of two numbers is 50. The first is 5 less than 4 times the second.

Define the variables in terms of 'x'

• first = x, second = 4x - 5

• first = 4x, second = x - 5

• first = 4x - 5, second = x

The greater of two numbers is 3 more than the smaller.

Define the variables in terms of 'x'

• greater = x, smaller = 3+x

• greater = 3+ x, smaller = x

• greater = x, smaller = 3 - x

• greater = 3x, smaller = x

The second of two numbers is 5 times the first. The sum is 180.

Define the variables in terms of 'x'

• x = the first number, 5+x = the second number

• x = the first number, 5x = the second number

• 5x = the first number, x = the second number

• 5 + x = the first number, x = the second number

Spencer works on cars. He charges $35 for each car plus $15 per hour.

Write an equation that represents this scenario if Kyra's car bill was $63.

• 15x + 35 = 63

• 15x = 63

• 15x - 35 = 63

• 35x + 15 = 63

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $2.50 each. Which equation represents this scenario if she spends $55 in all.

• 2.50x + 20 = 55

• 2.50x = 55

• 2.50 + 20x = 55

• 2.50x - 20 = 55

Which equation would describe "twice the sum of a number & five is 15"?

• x + 5 = 15

• 15 = 2(x + 5)

• x + 2(5) = 15

• 2x + 5 = 15

The steps in solving -25 = 6 - 5b are: 

• Add 6 to both sides and divide both sides by (-5)

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by (5)

• Subtract 6 from both sides then divide both sides by (-5)

What is the second step to solve this equation:
11 - 3x = 44

• divide by (-3) on both sides

• Subtract 11 from both sides

• Add 11 to both sides

• divide by (3) on both sides.

WRITE AN EQUATION
For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

• 4x=472

• 9x=472

• 4+9x=472

• 4+x=472

A ​system of equations is when you have ​ (a)   or more equations that share the same variables.

• two

• one

• none