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.
3. Solve equation. SHOW YOUR WORK!
6(x-2)+32=86
x = 11
13. Solve and graph each inequality.
-2(4x-2)<20
Solution Set:
x> -2
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
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.
2. Calculate as a decimal. Determine if it is rational or irrational.
sqrt14
~~3.742
irrational
4. Solve for x. SHOW YOUR WORK.
-8(7x-4)=200
x = -3
11. Solve for x. SHOW YOUR WORK.
y=mx+b
x=(y-b)/m
14. Solve and graph the inequality.
-3(x+1)>=15
Solution Set:
x<=-6
18. Identify the slope and the y-intercept. Then graph the equation.
y=3x-2
slope: 3
y-intercept: (0,-2)
Which of the following is not a function?
2. Calculate as a decimal. Determine if it is rational or irrational.
sqrt16
=4
Rational
7. Solve for x. SHOW ALL WORK.
-2(x+3)=-(x+6)+6x
x=0
12. Solve for w. SHOW YOUR WORK.
P=2w+2L
w=(P-2L)/2
16. Solve and graph the inequality.
15<=8x+7<71
Solution Set:
1<=x<8
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)
23. Does the table represent a function? Justify your answer.
No, it is NOT a function because the x-value 2 has multiple outputs.
2. Calculate as a decimal. Determine if it is rational or irrational.
1/3
0.333333
rational
9. Solve for x. SHOW ALL WORK.
-4x-20=8-4(x+7)
-20 = -20
True
oo solutions
17. Solve and graph the inequality.
3x+5<=20 or 2x+3>=17
Solution Set:
x<=5 or x>=7
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
Determine if the following are functions or not functions.
(a): FUNCTION
(b): FUNCTION
(c): NOT A FUNCTION
2. Calculate as a decimal. Determine if it is rational or irrational.
3pi
~~9.425
irrational
10. Solve for x. SHOW YOUR WORK.
-2(x-6)=-2x+8
12 ne 8
False
No Solution
15. Fill in the blank.
Compound inequalities have ______ solution set boundaries.
2
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.