Slope Review

Name ______________________________ Period ___________ Date __________________
Algebra 1: Slope Review Multiple Choice
Line A
4
Line B
y
4
Line C
y
−3
−2
3
2
2
2
1
1
1
−1
1
2
3
4
4
3
3
x
−4
Line D
y
2
−4
−3
−2
−1
1
2
3
4
1
x
x
5
5
−4
−3
−2
−1
y
3
1
2
3
4
x
5
−4
−3
−2
−1
1
−1
−1
−1
−1
−2
−2
−2
−2
−3
−3
−3
−3
−4
−4
−4
−4
2
3
4
Use graphs of Lines A-D to answer question 1-6.
1.
Which line(s) have a negative slope?
1. _______________________
2.
Which line has a slope of zero?
2. _______________________
3.
Which line has an y-intercept at (-2, 0)?
3. _______________________
4.
Which line has a slope of ½?
4. _______________________
5.
Which line is the graph of the equation y = 3 x ?
5. ______________________
6.
Which line is the graph of the equation y = − x + 3 ?
6. ______________________
Questions 7- 12 are multiple choice. Please write your answer on the blank on the right side.
7.
The table below represents a linear function. Use the table below to find the slope.
x
y
0
5
A. 0
8.
2
6
B. 2
4
7
7. ___________
C.
1
2
D. –2
Find the slope of a line that contains the two points.
(0, 1) and (1, 3)
A. 2
B. –2
C.
1
2
D. 4
8. __________
5
9.
Find the slope of a line that contains the two points.
9. __________
(-2, 8) and (1, 2)
A.
1
2
B. 1
1
2
C. −
D. 2
10. What is the slope of the line below?
y
10. __________
3
2
1
x
−4
−3
−2
−1
1
2
3
4
5
−1
−2
−3
−4
A. –3
B. −
1
3
C.
1
3
D. 3
11. The graph for a technician that charges a $10 flat fee plus an hourly
rate is shown below. What is the hourly rate charged?
11. __________
y
50
40
Cost
30
20
10
x
1
2
3
4
5
6
7
Time
A. $12 per hour
B. $9 per hour
C. $5 per hour
12. The equation of a line is given below. Based on the equation, what
is the slope of the line?
y = 3x + 1
A. 3
B. –3
C. 1
D. –1
D. $20 per hour
12. __________
13. Which graph represents a linear function? 14. Which equation represents a line that is parallel to the line y = −4 x + 5? 1
(1) y = −4 x + 3 (3) y = x + 3 4
1
(2) y = − x + 5 (4) y = 4 x + 5 4
15. What is the slope of the line that passes through the points (-­‐6,1) and (4,-­‐4)? 1
(1) -­‐2 (3) − 2
1
(2) 2 (4) 2
16. Mr. Turner bought x boxes of pencils. Each box holds 25 pencils. He left 3 boxes of pencils at home and took the rest to school. Which expression represents the total number of pencils he took to school? (1) 22x (3) 25 -­‐ 3x (2) 25x -­‐ 3 (4) 25x -­‐ 75 17. The gas tank in a car holds a total of 16 gallons of gas. The car travels 75 miles on 4 gallons of gas. If the gas tank is full at the beginning of a trip, which graph represents the rate of change in the amount of gas in the tank? 18. In a linear equation, the independent variable increases at a constant rate while the dependent variable decreases at a constant rate. The slope of this line is (1) zero (3) positive (2) negative (4) undefined
19. What is an equation for the line that passes through the coordinates (2,0) and (0,3)?
3
2
(1) y = − x + 3
(3) y = − x + 2
2
3
3
2
(2) y = − x − 3
(4) y = − x − 2
2
3