Exam Review

Functions

100

Domain is what values

X values

200

A function means that ____ do not repeat

x values

300

If f(x)=2x-4, what is f(3)

2

400

Is the following a function:

(1, 4) (2, 4) (3,4)

Yes

500

If f(x)=3x-2 and g(x)=-2x-7, what is f(x)-g(x)?

5x+5

Rate of Change

100

Find the rate of change between (1, 1) and (5, 2)

1/4

200

Find the rate of change between (4,0) and (2, 6)

-3

300

What is the slope of a horizontal line

0

400

Heidi weighed 150 pounds in 2005 and 175 pounds in 2010. What is her average rate of change?

5 pounds/year

500

Find the slope between (2, 5) and (2, 8)

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Solving Equations

100

Solve 3x+1=7

x=2

200

Solve 5x-5=20

x=5

300

Solve 5(x-2)=5x-8

no solution

400

(7x-6)/2=4

x=2

500

12=-4(-6x-3)

x=0

Systems of Equations

100

What is the solution to a system of equations?

Where two lines intersect

200

How do we solve a system of equations

Desmos

300

Solve this system y=3x-2 y=8x-12

(2, 4)

400

Solve this system

2x+y=14

y=-2x+6

No solution

500

Sam has 70 nickels and dimes totaling $4.60. Write a system that would solve for number of nickels and dimes.

x+y=10

0.05x+0.10y=4.60

Polynomials

100

4x(6x-2)

24x²-8x

200

Classify x⁴-6x⁶+3x

6th degree trinomial

300

8xy-15x²y+4x²y-2xy

-11x²y+6xy

400

3(x+2)-6(x²+3x-1)

-6x²-15x+12

500

(x³ + 2)(x² - 1)

x⁵ - x³ + 2x² - 2

Factoring

100

n²+8n+12

(n+6)(n+2)

200

x²-81

(x+9)(x-9)

300

2x²-5x-3

(2x+1)(x-3)

400

x³+4x²-7x-28

(x²-7)(x+4)

500

32x⁴-72

2(4x²-6)(4x²+6)