hw30 – unit 4 test review - edl€¦ · · 2017-03-28... unit 4 test review name ... answer key...
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HW30 – Unit 4 Test Review Name____________________________ Period________
Find the slope between the ordered pairs.
1. (-16,-15) and (-20,-7)
2. (0,-2) and (10,11)
3. (-13,-14) and (-13,0)
4. (13,9) and (19,9)
Fill in the blanks:
5. Slope-Intercept form is _____________________________
6. Standard form is _______________________________
7. Point-Slope form is _________________________________
8. The formula for slope is _________________________
9. The variable for slope is _________ and the variable for the y-intercept is _________
10. Slope is rise over ______________
Graph the line:
11. 12.
Write the slope-intercept form of the equation of the line through the given points.
21. (4,-2) and (5,-5) 22. (-3,2) and (-2,-1)
23. Joy is taking some college classes. She has to pay a flat fee of $8,000 and an additional $150 per unit. Which equation below represents how much Joy has to pay?
a.
b.
c.
d.
24. What is the slope of your equation in #23? What does it represent in the context of the situation?
25. What is the y-intercept of your equation in #23? What does it represent in the context of the situation?
26. Use your equation from #23 to find out how much Joy would have to pay if she only takes 8 units.
27. Joey and David’s teacher asked them to use the given point and slope to write an equation in slope-intercept
form. Their work is shown below. Explain who is right and who is wrong, and why.
Joey David
28. In 2012, Lexi bought a bracelet that was worth $21. In 2020, the same bracelet will be worth only $5.
a. What is the average annual rate of change of the worth of Lexi’s bracelet?
b. Write an equation in point-slope form to model the situation.
29. Jack is selling pails of water from atop his hill. If Jack sells 3 pails, he earns $5 profit. If Jack sells 11 pails, he
earns $29 profit.
a. Write an equation in slope-intercept form to model the situation.
b. Use your equation to estimate how many pails Jack would have to sell to earn a profit of $56.
c. What is the y-intercept of your equation? Why does it make sense that this value is negative?
30. Jill is a nurse for people when they fall down the hill. She charges a flat rate of $50 for her services, and an
additional $25 for every hour she works on someone’s head, stitching them up and bandaging them.
a. Write an equation in slope-intercept form to represent the situation.
b. Graph the situation. Be sure to label your axes appropriately.
Answer Key
1. -2
2.
3. Undefined 4. 0
5. 6. 7.
8. 9. m, b 10. run 11. Graph the point, then
use the slope! 12. Graph the point, then
use the slope!
21. 22. 23. d 24. The slope is 150,
which means that for each unit she takes, she has to pay $150.
25. The y-intercept is 8000, which means that if she takes 0 classes, she still has to pay a $8000 fee.
26. $9,200 27. Joey is incorrect because 6 divided by 3 is 2, not 3. David is incorrect because he added the 5 to both sides of the equation and got 8.
28. a. The bracelet is decreasing in value each year by $2.
28. b.
1 − (x 012)y − 2 = 2 − 2 29. a.
29. b. 20 pails of water 29. c. The y-intercept is -4 which makes sense because he has to pay for materials, so if he doesn’t sell any pails, he actually loses money ($4).
30. a. 30. b. Label the x-axis
“Hours”, label the y-axis
“Cost in $”. Graph it.
Re-read your notes, and STUDY!!!