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Chapter #3 Pre-review Classwork
Multiple Choice
Indicate the answer choice that best completes the statement or answers the question.
The graph shows books sales.
1. Find the constant rate of change and interpret its meaning.
a. –$333.33/day; a decrease in sales of $333.33 each day
b. –$0.003/day; an decrease in sales of $333.33 each day
c. $0.003/day; an increase in sales of $333.33 each day
d. $333.33/day; an increase in sales of $333.33 each day
ALGEBRA If y varies directly with x, write an equation for the direct variation. Then find the value.
2. Find x when y = 18, if y = 5 when x = 4.
a. y = – x; x = –14
b. y = x; x = 22
c. y = x; x = 22
d. y = x; x = 14
3. If y = –7 when x = –21, what is the value of x when y = 9?
a. y = x; x = 27
b. y = – x; x = –27
c. y = 3x; x = 3
d. y = x; x = 3
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Chapter #3 Pre-review Classwork
4. MOUNTAINS Find the slope of a mountain that descends 100 meters for every horizontal distance of 1,000
meters.
a. –10
b.
c.
d. 10
SNOWFALL Use the graph below. It shows the depth in feet of snow after each two-hour period
during a snowstorm.
5. If the graph is extended to the right, could you expect the slope to remain constant? Explain.
a. No; the amount of snowfall each hour will triple.
b. Yes; the snowfall will always remain constant.
c. No; the amount of snowfall each hour will double.
d. No; the storm would eventually stop.
6. Find the slope of the line.
a. 4
b.
c. –
d. –4
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Chapter #3 Pre-review Classwork
7. The points given in the table below lie on a line. Find the slope of the line.
a. 1
b. 0
c. –1
d. –2
Determine whether the linear function is a direct variation. If so, state the constant of variation.
8.
a. yes; 1.38
b. no
9.
a. yes; 9.3
b. no
10.
a. yes; 19
b. no
11. The points given in the table above lie on a line. Find the slope of the line.
a. 5
b.
c. –
d. –5
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Chapter #3 Pre-review Classwork
GEOMETRY Use the diagram shown.
12. Write the equation in slope-intercept form.
a. y = x – 90
b. y = x + 90
c. y = x + 90
d. y = x – 90
Determine whether the relationship between the two quantities described in the table is linear. If so,
find the constant rate of change. If not, explain your reasoning.
13. Fabric Needed for Costumes
a. Yes; the rate of change between the amount of fabric and the number of costumes is a constant 3 yd
fabric per costume.
b. No; the rate of change between the amount of fabric and the number of costumes is not constant.
14. INSECT CONTROL Mr. Malone used 40 pounds of insecticide to cover 1,760 square feet of lawn and 60 pounds
to cover an additional 2,640 square feet. About how many pounds of insecticide would Mr. Malone need to
cover his whole lawn of 4,480 square feet?
a. 880 lb
b. 102 lb
c. 44 lb
d. 20 lb
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Chapter #3 Pre-review Classwork
15. The points given in the table above lie on a line. Find the slope of the line.
a.
b.
c.
d.
16. Find the slope of the line.
a. 1
b. 0
c.
d. –2
17. Find the slope of the line.
a.
b.
c. –
d. –
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Chapter #3 Pre-review Classwork
18. SOLAR ENERGY The power absorbed by a solar panel varies directly with its area. If an 8 square meter panel
absorbs 8,160 watts of power, how much power does a 12 square meter solar panel absorb?
a. 12,240 watts
b. 8,160 watts
c. 1,020 watts
d. 96 watts
State the slope and the y-intercept for the graph of the equation.
19. y = x – 3
a. 3;
b.
c.
; 3
; 3
d. – ; 3
20. y = 4x + 1
a. 1; 4
b. 4; 3
c. 4; 1
d. 3; 1
21. y = x + 2
a.
; –2
b. – ; 2
c. 2;
d. ; 2
22. SNOWMOBILES Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours.
What is the hourly rate Bruce charges to rent a snowmobile?
a. $0.30
b. $3.37
c. $33.75
d. $67.50
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Objective Short Answer
CAMPING The entrance fee to the national park is $15. A campsite fee is $15 per night. The total
cost y for a camping trip for x nights can be represented by the equation y = 15x + 15.
23. Graph the equation.
Graph each equation using the slope and y-intercept.
24. y + x = –3
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