Real Number System
Multi-step Equations
Solve Literal Equations
Inequalities
Linear Equations
Functions and Relations
100

1.      Fill in the blanks.

Rational numbers are numbers that can be written as a ____________. Any ___________ or ____________ decimal can be written as a fraction.

Rational numbers are numbers that can be written as a fraction. Any repeating or terminating decimal can be written as a fraction.

100

3.  Solve equation. SHOW YOUR WORK!

6(x-2)+32=86

x = 11

100

13.  Solve and graph each inequality.

-2(4x-2)<20

Solution Set: 

x> -2

100

Given a graph, determine the slope and the y-intercept. Write an equation in slope-intercept form.

slope:  -2

y-intercept:  (0,3)

equation: y = -2x - 3

100

22.  What makes a relation a function?

1)  Each input (x) only has one output (y).

2)  It passes the Vertical Line Test (VLT). 

3)  There are NO repeat x-values in tables or mapping diagrams.

4)  There is only one arrow from each input in a mapping diagram.

200

2.   Calculate as a decimal. Determine if it is rational or irrational.


sqrt14

~~3.742


irrational

200

4.  Solve for x. SHOW YOUR WORK. 

-8(7x-4)=200

x = -3

200

11.  Solve for x. SHOW YOUR WORK. 


y=mx+b

x=(y-b)/m

200

14.  Solve and graph the inequality.

-3(x+1)>=15

    

Solution Set:

x<=-6

200

18.  Identify the slope and the y-intercept. Then graph the equation.


y=3x-2

slope: 3

y-intercept: (0,-2) 

200

Which of the following is not a function?

    

300

2.   Calculate as a decimal. Determine if it is rational or irrational.


sqrt16

=4


Rational

300

7.  Solve for x. SHOW ALL WORK.

-2(x+3)=-(x+6)+6x

 

x=0

300

12.  Solve for w. SHOW YOUR WORK.


P=2w+2L

 


w=(P-2L)/2

300

16.  Solve and graph the inequality.

15<=8x+7<71

Solution Set:

1<=x<8

300

19.  Write an equation in point-slope form of the line that passes through the points (2,5) & (6,7) by calculating the slope and plugging in the points. 

*Hint*: Choose ONE of your points when writing the equation.

slope: 1/2

Point: (2,5)     OR     Point (6,7)

Equation: 

y-5=1/2(x-2)

OR 

y-7=1/2(x-6)

300

23.  Does the table represent a function? Justify your answer. 

No, it is NOT a function because the x-value 2 has multiple outputs. 

400

2.   Calculate as a decimal. Determine if it is rational or irrational.


1/3

0.333333


rational


400

9. Solve for x. SHOW ALL WORK. 

-4x-20=8-4(x+7)

-20 = -20   

True

oo solutions

400

17.   Solve and graph the inequality.

3x+5<=20 or 2x+3>=17

Solution Set:

x<=5 or x>=7

400

20.  Mrs. Ponce has $30 to spend on pencils and erasers. Each pack of pencils is $5 and each pack of erasers is $3. Write a standard form equation to model this situation. 


Find the x & y intercepts algebraically, then graph the equation using those intercepts.

Equation: 5x + 3y = 30

 

400

Determine if the following are functions or not functions.


(a):  FUNCTION


(b):  FUNCTION


(c):  NOT A FUNCTION

500

2.   Calculate as a decimal. Determine if it is rational or irrational.


3pi

~~9.425


irrational

500

10.  Solve for x. SHOW YOUR WORK. 

-2(x-6)=-2x+8

12 ne 8

False

No Solution

500

15.     Fill in the blank.


Compound inequalities have ______ solution set boundaries.


2

500

24.   At Frontier Days, they charge $5 to get into the park and then $20 per armband to ride the carnival rides. 

f(x)=20x+5


a. Evaluate f(3).


b. Explain what f(3) means in the context of the problem.


c. If you have $100, how many armbands can you purchase?

a.      f(3) = 65     (3,65)


b.      3 armbands and one entry fee costs $65.


c.       100 = 20x + 5

         4.75 = x

      You can purchase 4 armbands.

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