Algebra Functions Review

Real Number System

100

Identify the property shown:

6x(1/6x) = 1

Inverse Property

200

Which of the following statements is true?

a.) All integers are whole numbers

b.) All irrational numbers are real numbers

c.) All real numbers are integers

d.) All rational numbers are natural numbers

b.) All irrational numbers are real numbers

300

Identify the property shown:

12(x+4) = 12x + 48

Distributive Property

400

Which expression represents an irrational number?

a.) 0.181818

b.) 2/3

c.) .4569230421

d.) 0

c.) .4569230421

500

Are integers always/sometimes/never whole numbers?

sometimes

Evaluating Expressions/One,Two, Multi-step, and Absolute Value Equations

100

Simplify the expression:

n + 4 - 10n + 18

-9n + 22

200

Solve the one-step equation

2x = 12

x = 6

300

Solve the two step equation:

9 - (3/4)x = 57

x = -64

400

l x + 1 l = 6

{-7, 5}

500

Solve the following Literal Equation for y:

Ax+By = C 

y = C - Ax / B

Relations & Functions

100

Is this a function? Why?

{(-6,4), (5,-1), (0,3)}

Yes, because the domains do not repeat.

200

Is this a function?

R={(−2,5),(0,3),(4,3),(4,−1)} 

Why or why not?

No, because there are repeated domains (ex: 4)

300

Find the function values using the given functions below.

f(x) = 5x - 20

f(6)

f(6) = 10

400

Name the domains of the function

{(2,3), (3, 7), (1, 8), (6, 10)}

Domains: {2, 3, 1, 6}

500

Find the function values using the given functions below:

f(x) = 5x - 20                          g(x)= x²+5x-11

Find f(-1) + g(-2)

f(-1) + g(-2) = -42

Linear Equations

100

What is the slope of the line whose equation is 2y = 3x + 4

m = 3/2

200

Describe the difference in slopes in parallel lines and perpendicular lines.

Parallel: They have the exact same slope 

         (line 1: m = 2; line 2: m = 2)

Perpendicular: They have negative reciprocal slopes

         (line 1: m = 2; line 2: m = -1/2)

300

Write an equation that is parallel to y = -4x + 5 and passes through the point (-2,-1)

y = -4x - 9 

400

Write a linear equation given two points (-3,-9) and (4,-2).

y = x - 6

500

Solve the system of equations by substitution or elimination

                     x + 2y = 3

                   5x + 3y = 8

Substitution:                                    Elimination: 

x = -2y + 3                                       5(x+2y=3)

                                                    5x + 10y = 15

5(-2y+3) + 3y = 8                        (-)5x + 3y = 8

y = 1                                                   y = 1

Proportions/Zeros

100

2/9 = 4/x+8

x = 5

200

Find the zero(s) of the function algebraically.

f(x) = -4x²-x+4

x = 4, 1, -1

300

4/x+4 = 12/8

x = -4/3

400

Find the zero(s) of the function algebraically

f(x) = 8x - 16

x = 2

500

Solve the proportion

6/2n-5 = 2/n-7

n = -16