Simple Equations
Variables on Both Sides
Word Problems
Literal Equations
100

The solution to x-4=2.

What is x=6?

100

The solution to the equation 5x+1=6x-3.

What is x=4?

100

A rectangle has side lengths of 4 and x. When is the perimeter of the rectangle equal to the area?

What is x=4?

100

Solve x+y=3 for x.

What is x=3-y?

200

The value of x if 2x+1=3.

What is x=1?

200

The number of solutions to the equation 4x+4=2(2x-3)

What is 0?

200

Emma works as a babysitter. She makes $25 every time she babysits plus an additional $15 each hour. How long does she have to babysit to make $100?

What is 5 hours?

200
Solve y=3x+6 in terms of y.

What is x=y/3-2?

300

The solution to 2(3y-5)-2y=-14.

What is y=-1?

300

What is the solution to 3x-6+2(x+1)=5(x-1)?

What is infinite solutions?

300

One car company rents cars at a rate of $5 per hour plus a flat cost of $30. Another company rents cars at a rate of $10 per hour, but does not charge a flat cost. How long do you have to rent a car for the cost of both companies to be equal?

What is 6 hours?

300

Solve V=Lwh for w.

What is w=V/(Lh)?

400

The value of z if 0.2z+1.4z-2z+1.6=4.

What is z=6?

400

The value of x if 1.5-0.3x=0.1(x+15).

What is x=0?

400

Jack is working as a salesman. He can choose between either making $1000 a week plus 10% of the sales he makes that week, or making $500 a week plus 20% of the sales he makes. How much would he have to sell to make the same amount of money on both plans?

What is $5000?
400

Solve 3x(y+2)-2xy=x in terms of x.

What is y=-5?

500

The solution to 2/3x-1/7=1/3.

What is x=5/7?

500

The solution to 1/2x+3/4=(x+4)/2.

What is no solutions?

500
A circle has a radius of r. What is the side length of a square that has a perimeter equal to the circle's circumference? Leave your answer in terms of pi and r.

What is pi*r/4?

500

Solve V=1/3*pi*r3 for r3.

What is r3=3V/pi?