Name: ________________________ Class: ___________________ Date: __________
Linear Equations (PHA1 Ch 5) Practice Test/Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Match the equation with its graph.
1. –8x – 5y = 40
a.
c.
b.
d.
1
ID: A
Name: ________________________
ID: A
What type of relationship does the scatter plot show?
2.
a. positive correlation b. negative correlation c. no correlation
3.
a. positive correlation b. negative correlation c. no correlation
Short Answer
What is the slope of the line that passes through the pair of points?
4. (1, 7), (10, 1)
2
Name: ________________________
ID: A
What is the slope of the line?
5.
What are the slope and y-intercept of the graph of the given equation?
6.
9
3
y= x−
8
10
What equation in slope intercept form represents the line that passes through the two points?
7. (2, 5), (9, 2)
Graph the equation.
8. y = 4x – 3
Write an equation in point-slope form for the line through the given point with the given slope.
9. (8, 3); m = 6
Graph the equation.
10. y + 5 = −2(x – 4)
3
Name: ________________________
ID: A
What is an equation of the line?
11.
12. The table shows the height of an elevator above ground level after a certain amount of time. Model the data with
an equation. Let y stand for the height of the elevator in feet and let x stand for the time in seconds.
Time (s)
Height (ft)
10
156
20
142
40
114
60
86
Find the x- and y-intercept of the line.
13. x – 6y = 12
What is the graph of the equation?
14. y = –3
2
15. Write y = x + 7 in standard form using integers.
3
16. Write y = –0.5x + 0.8 in standard form using integers.
17. The grocery store sells dates for $4.00 a pound and pomegranates for $2.75 a pound. Write an equation in standard
form for the weights of dates d and pomegranates p that a customer could buy with $12.
Write an equation for the line that is parallel to the given line and passes through the given point.
18. y = 5x + 10; (2, 14)
4
Name: ________________________
ID: A
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
7
19. y = − x – 9
2
–14x – 4y = –20
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
20. 4x – 12y = 2; (10, –1)
5
ID: A
Linear Equations (PHA1 Ch 5) Practice Test/Review
Answer Section
MULTIPLE CHOICE
1. C
2. B
3. C
SHORT ANSWER
2
3
5. undefined
4. −
9
3
and the y-intercept is − .
8
10
3
41
7. y = − x +
7
7
8.
6. The slope is
9. y − 3 = 6(x − 8)
1
ID: A
10.
11. y + 3 = 2(x + 2)
12. y = −1.4x + 170
13. x-intercept is 12; y-intercept is –2
14.
15.
16.
17.
18.
19.
20.
–2x + 3y = 21
5x + 10y = 8
4d + 2.75p = 12
y = 5x + 4
parallel
y = −3x + 29
2
Name: ________________________ Class: ___________________ Date: __________
Linear Equations (PHA1 Ch 5) Practice Test/Review
Multiple Choice
Identify the choice that best completes the statement or answers the question.
Match the equation with its graph.
1. –7x – 4y = 28
a.
c.
b.
d.
1
ID: B
Name: ________________________
ID: B
What type of relationship does the scatter plot show?
2.
a. positive correlation b. negative correlation c. no correlation
3.
a. positive correlation b. negative correlation c. no correlation
Short Answer
What is the slope of the line that passes through the pair of points?
4. (3, 5), (7, –2)
2
Name: ________________________
ID: B
What is the slope of the line?
5.
What are the slope and y-intercept of the graph of the given equation?
6.
y=
10
1
x−
9
4
What equation in slope intercept form represents the line that passes through the two points?
7. (4, 8), (8, –3)
Graph the equation.
8. y = 3x – 1
Write an equation in point-slope form for the line through the given point with the given slope.
9. (–4, –5); m = –1
Graph the equation.
10. y – 5 = −4(x + 1)
3
Name: ________________________
ID: B
What is an equation of the line?
11.
12. The table shows the height of an elevator above ground level after a certain amount of time. Model the data with
an equation. Let y stand for the height of the elevator in feet and let x stand for the time in seconds.
Time (s)
Height (ft)
10
215
20
200
40
170
60
140
Find the x- and y-intercept of the line.
13. 5x – 10y = 90
What is the graph of the equation?
14. y = 3
1
15. Write y = x + 3 in standard form using integers.
3
16. Write y = 0.1x – 0.5 in standard form using integers.
17. The grocery store sells dates for $4.00 a pound and pomegranates for $3.50 a pound. Write an equation in standard
form for the weights of dates d and pomegranates p that a customer could buy with $20.
Write an equation for the line that is parallel to the given line and passes through the given point.
18. y = −3x – 7; (0, –8)
4
Name: ________________________
ID: B
Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.
1
19. y = − x – 2
3
–2x – 6y = –2
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
20. x – 6y = 4; (3, 4)
5
ID: B
Linear Equations (PHA1 Ch 5) Practice Test/Review
Answer Section
MULTIPLE CHOICE
1. A
2. B
3. C
SHORT ANSWER
7
4
5. undefined
4. −
6. The slope is
7. y = −
10
1
and the y-intercept is − .
9
4
11
x + 19
4
8.
9. y + 5 = −(x + 4)
1
ID: B
10.
9
11. y + 4 = (x + 1)
2
12. y = −1.5x + 230
13. x-intercept is 18; y-intercept is –9
14.
15.
16.
17.
18.
19.
20.
–x + 3y = 9
–x + 10y = –5
4d + 3.5p = 20
y = −3x – 8
parallel
y = −6x + 22
2