Linear equations
Quadratic equations
Systems of equations
Exponents
Miscellaneous
100

x+1=5, solve for x

x = 4

100

What are the x intercepts of y=(x-3)(x-2)?

x = 2 and x = 3

100

Find the solution to the system y = 3x and x = 3y

(0,0)

100

What is 41/2?

2

100

A bat and a ball together cost $1.10. The bat costs a dollar more than the ball. How much does the ball cost?

$0.05 or 5 cents

200

9x+18=-27, solve for x

x = -5

200

Factor the expression: x2+2x-35

 (x+7)(x-5)

200

Find the solution to the system x + y = 30 and 3x + 2y = 100

(40, -10)

200

What is x* x4?



x7

200

Luka is making lemonade to sell at a school fundraiser. His recipe requires 4 times as much water as sugar and twice as much sugar as lemon juice. He uses 3 cups of lemon juice. How many cups of water does he need?

24

300

5x-8=11x+47, solve for x



x = -55/6

300

Solve the equation x2+16x+39 = 0



x = -3 and x = -13

300

For what value of 'a' are there no solutions to the system: 3y = 12x + 2 and x - 3 = ay

1/4 or 0.25

300

Which is greater: 472 or 724?

472

300

The longest professional tennis match lasted a total of 11 hours and 5 minutes. How many minutes is that?

665

400

 mx+95=7x-17+p, solve for x



x = (112-p)/(7-m)

400

Rewrite x2+4x+5 in vertex form



(x+2)+ 1

400

How many solutions can there be to the system y = ax+ bx + c and y = dx + e? (Give all the possible answers)

0, 1, or 2

400

Simplify (y3 * x-2)4/y-3

y15x-8

400

Four friends do yardwork for their neighbors over the weekend, earning $15, $20, $25, and $40, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $40 give to the others?

$15

500

x/y+9v=px+11m, solve for x



x = (9v-11m)/(p-1/y)

500

Write a quadratic expression with y-intercept (0,10) and x-intercepts (-1,0) and (5,0)



-2(x+1)(x-5)

500

Find at least one solution of (x - 3)+ (y - 2)= 5 and y = 3x.

(1,3) or (0.8, 2.4)

500

Given that 3x - y = 12, what is 8x/2y?

212

500

A two digit number is such that the product of the digits plus the sum of the digits is equal to the number. What is the units digit of the number?

9