System of Equations
Factoring
Inequalities
Quadratics and Polynomials
Radical Expressions
100

Solve the system using elimination and substitution.

What is x=2, y=1 ?

100

Solve by factoring.

x2-7x+6

What is (x-6)(x-1) ?

100

Solve the inequality.

-2(x+3)<10

What is x>-8 ?
100

Solve using the quadratic formula.

3x−9x2+10=0

What is x= -1 +- sqrt 41 /-6 ?

100

Solve the radical expression.

(cube root of) √ x8

What is x2 (cube root of) √ x2 ?

200

The system of equations above has a solution (x,y). Find the value of x.

y=2x , 3x+y=30

What is x=6 ?

200

Solve by factoring.

x2-13x+40

What is (k-5)(k-8)?

200

Solve for x.

−48x+2 ≤ −71x+14

What is x≤ 12/23 ?

200

Solve using the quadratic formula.

-4+x+7x2 =0

What is x= -1 +- sqrt 113 / 14 ?

200

Solve the radical expression. 

(4th root of)√x7y20z11

What is xy5z2 (4th root of) √x3z3 ?

300

Solve the system of equations. Find the value of x.

7x+y=25

6x+y=23

What is x=2 ?

300

Solve by factoring.

4x2-9

What is (2x+3)(2x-3)?

300

Solve the inequality.

4-6x ≥ -15 + 1

What is x≤ 3 ?

300

Solve using the quadratic formula.

−7x+8−10x2=7

What is x= 7 +- sqrt 89 /-20 ?

300

Solve the radical.

(4th root of) √ 81

What is 3?

400

Solve the system of equations. 

2x+9y=16, 5x=1-3y

What is (-1,2) ?

400

Solve by factoring. 

2x2+22x+60

What is 2(x+5)(x+6)?

400

Solve the inequality.

5x > 8x + 27

What is (-infinity, -9) ?

400

Solve using the quadratic formula. How many solutions does this equation have?

x2 -3x - 10 = 0

What is 2 solutions?

x= 5 and x=-2

400

Solve the radical.

(cube root of) √ -512

What is -8?

500

Consider the three lines given by the following equations:

x + 2y = 1

y = 2x + 3

4x - 3y = 2

What is the value of the x-coordinate of the point of intersection that is common to ALL three lines?

What is there is no point of intersection.

500

Solve by factoring. 

5x2+10x+20

What is 5(x2+2x+4)?

500

Solve the inequality.

x/5 ≥ -2/3

What is x ≥ -10/3 ?

500

Solve using the quadratic formula.

-6x2 - 1 +5x =8x2

What is x= 3 +- sqrt 6 / -3 ?

500

Solve the radical expression.

9/(cube root of) √ 2x

What is 9 (cube root of) √ 4x2 / 2x ?