GRAPHING AND FUNCTIONS
SYSTEMS OF EQUATIONS
EXPONENTS AND POLYNOMIALS
QUADRATICS AND ZEROS
RATIONAL EXPRESSIONS
100

What is the slope of the line that passes through the points (2, 3) and (4, 7)?

Slope = 2

100

Solve this system by graphing

y=2x+3 and y=−x+1

(1,5)

100

Convert the following number to scientific notation:
0.0000356

0.0000356=3.56×10−5

100

Solve the quadratic equation: 

x2−8x+15=0

x=3 and/or x=5

100

Simplify the rational expression:

4x2/8x

X= x/2

200

Write the equation of the line in slope-intercept form that passes through the point (3, -2) and has a slope of 4.

y = 4x - 14

200

Solve the system by substitution

x+y=7 and 2x−y=4

(11/3, 10/3)

200

Which is a polynomial function?

A) f(x)=x2 +3x+4

B) f(x)= 1/x + 2

C) f(x)= 4√x

A

200

Solve the quadratic equation using the quadratic formula: x2+4x−5=0

X = 1 and/or X -5

200

Multiply the rational expressions: 

2x5/and 3x2/4

3x3/10

300

The function f(x) = 2x² + 3x - 5 is graphed on the coordinate plane. What is the parent function of this graph, and what type of transformation occurred to get this function from the parent function?

F(x) = x²

300

Solve this system by elimination

3x+2y=12 and 6x−2y=10

(22/9, 7/3)

300

Multiply the following polynomials:

(x+5)(x−3)

x2+2x−15

300

Use synthetic division to divide 

2x3+3x2−5x−6 by x+2. 

What is the quotient?

The quotient is 2x2−x−3 with a remainder of 0.

300

Add the rational expressions: 3/x+2 and 4/x+2.

7/x+2

400

Graph the linear inequality 2x - 3y > 6. What would the graph look like and which side of the line would be shaded? Find slope and y-intercept

Dashed line top half of the line is shaded, slope is 2/3 and y-intercept is -2

400

Solve the system by substitution

3x−y=4 and 4x+2y=12

(2,2)

400

Find the greatest common factor (GCF) of the following polynomials:
6x3 y+9x2y2−15xy3

3xy

400

Find the zeros of the polynomial 

x3−4x2−7x+10. 

Use synthetic division to factor the polynomial and find the zeros.

1, 5, -2

400

Solve the rational equation:

3/x-1 = 5/x+2

X = 11/2

500

Which is not a function?

a. {(-1, 2) (-2,5) (-5, 7) (-20,-20)}

b. {(1,2) (2,3) (1,4) (4, 5)}

c. {(1,2) (2,3) (3,4) (4,5)}

d. {(-1,1) (-2,3) (-3,3) (-4,2)}

B

500

Solve this system by elimination

5x+3y=22 and 4x−3y=7

(29/9, 53/27)

500

Factor the trinomial:

X2 + 7x + 10

x2+7x+10=(x+2)(x+5)

500

Solve for the zeros of the quadratic equation 

2x2−3x−5=0

using the quadratic formula.

X = 3+7/4 = 10/4=2.5 and/or x= 3-7/4 = -4/4 = -1

500

Simplify the rational expression: 

X2-9/x2-6x+9

X+3/x-3