1. Pre-Algebra Unit 5 Review

2. Question #1 In which quadrant or on which axis does each point fall?
(0,2)
(-4,8)
(7,1)

3. Answer #1 In which quadrant or on which axis does each point fall?
a) (0,2) y-axis
b) (-4,8) 2nd quadrant
c) (7,1) 1st quadrant

4. Question #2 Find the equation of the line containing the given points.
(0, 7) and (1, 5)

5. Answer #2 Find the equation of the line containing the given points.
(0, 7) and (1, 5)
m = b = 7
y = -2x + 7

6. Question #3 Find the equation of the line containing the given points.
(2, 4) and (6, 1)

7. Answer #3 Find the equation of the line containing the given points.
(2, 4) and (6, 1)
m = -3/4
4 = -3/4(2) + b
4 = b
b = 5.5
y = -3/4 x + 5.5

8. Question #4
Solve for y:
3x + 5y = 30
x – y = 7

9. Answer #4
Solve for y:
3x + 5y = 30
x – y = 7
y = -3/5 x + 6
y = x – 7

10. Question #5
Graph y = 2x - 5 y 5 x -5 5 -5

11. Answer #5
Graph y = 2x - 5 y 5 x -5 5 -5

12. Question #6 Is the rate of change constant?
Plant Growth
week
Height (inches) 1 10 3 15 5 20 7 25
Is the rate of change constant?
Are the quantities proportional?

13. Answer #6 Is the rate of change constant? Yes, m = 5/2
Plant Growth
week
Height (inches) 1 10 3 15 5 20 7 25
Is the rate of change constant?
Are the quantities proportional?
Yes, m = 5/2
No, 10/1 ≠ 15/3

14. Question #7
What is the slope of this hill?
20 ft
200 ft

15. Answer #7 What is the slope of this hill? m = 20/200 = 1/10 20 ft

16. Question #8 Identify the indep. & dep. variables.
What is the domain & range?
Is this relation a function? Explain your answer.
Is there a constant rate of change, and If there is, what is it?
Does the table show direct variation? Explain your answer.
Price of 10 gal. of milk
year
Price ($)
1980 20
1990 24
2000 28
2010 32

17. Answer #8 Identify the indep. & dep. variables.
What is the domain & range?
Is this relation a function? Explain your answer.
Is there a constant rate of change, and If there is, what is it?
Does the table show direct variation? Explain your answer.
Price of 10 gal. of milk
year
Price ($)
1980 20
1990 24
2000 28
2010 32
Indep = year
Dep = price
Domain = {1980, 1990, 2000, 2010}
Range = {20, 24, 28, 32}
Yes, for every input, there is only one corresponding output.
Yes, 4/10 = 2/5
no, 20/1980 ≠ 24/1990