Name: ________________________ Class: ___________________ Date: __________ ID: A

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Algebra 1 Chapter 5 practice test

1. Write an equation, in slope-intercept form, of a line with a slope of 9 and a y-intercept of 2.a) y = 9x + 2b) x = 9y + 2

c) y = 19 x + 2

d) y = 9x − 2

2. Write an equation, in slope-intercept form, that passes through point −1, − 6Ê

ËÁÁˆ¯̃̃ with slope –3.

a) y = 3x − 3b) y = −3x − 9c) y = −3x − 3d) y = 3x − 9

3. Write the equation of the line shown.

4. Write an equation of the line with slope −23 and

y-intercept –5.

#6-7: Write an equation for the function in the form f x( ) = mx + b .

5. f −5( ) = −29, f 0( ) = −4

6. f −3( ) = 1, f 0( ) = −5

7. Find the y-intercept of a line that passes through 3, 5Ê

ËÁÁˆ¯̃̃ and has a slope of 5.

8. Write an equation of the line that passes

through the point 3, 7ÊËÁÁ

ˆ¯̃̃ and has the slope 1

3 .

9. Write an equation of the line that passes through the given points in point-slope form.(7, 2) and (2, 12)

10. Write an equation of the line that passes through the given points.(4, 5), (-4, -5)

11. Write the standard form of the equation of the line y = 5x + 3.

ID: A

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12. Write the equation of the horizontal line passing through the point (-2, 1).

13. Write the equation of the vertical line passing through the point (–6, 2).

14. Find the missing coefficient in the equation of the line that passes through the given point. Write the completed equation.Ax + 3y = 5, 2, − 1Ê

ËÁÁˆ¯̃̃

15. What is the slope of a line that is parallel to the line y = −3x − 9.

16. What is the slope of a line perpendicular to the line y = −3x + 1.

17. Which of the following lines are parallel to each other?a) 3x − 5y = −5b) 3x − 5y = 2c) 10x − 6y = −4

18. Write y = −52 x + 10 in Standard Form.

19. Which input-output table shows the function f(x) = x + 4 for x-values of 1, 2, 3, 4, and 5 ?

a)

b)

c)

d)

20. What is the value of the function f(x) = 3x − 7at f(3)?

a) f(3) = 83

b) f(3) = −13

c) f(3) = 2

d) f(3) = −1

ID: A

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21. Which equation is represented by the line in the graph?

a) y − 4 = 53 (x − 3)

b) 3x + 5y = −1

c) y − 1 = 35 (x + 2)

d) y = 53 x + 2

22. Write an equation of the line that goes through the point 8, − 3ÊËÁÁ

ˆ¯̃̃ and is perpendicular to the line y = 4x + 1.

a) y = 14 x − 1 c) y = 4x − 35

b) y = −14 x − 1 d) y = −4x − 29

ID: A

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23. What type of relationship is shown by the scatter plot?

a) strong positive correlationb) weak negative correlationc) strong negative correlationd) relatively no correlation

24. Which equation matches the scatter plot?

a) y = x + 4b) y = x − 4c) y = 1− xd) y = 4− x

25. Tell whether x and y show a positive correlation, negative correlation, or relatively no correlation.

26. The table shows the study times and test scores for a number of students. Draw a scatter plot of score versus time.

Study time (min) 10 12 14 19 22 27 33 39Test score 57 63 60 64 64 65 70 77

ID: A

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27. Bianca is making home-made cards to send to friends and family and to sell at the local craft fair. This scatter plot shows the total number of cards she had made after each hour she worked on the task.

Using this information, what is the best prediction of the number of cards Bianca can make in 12 hours?a) 64 b) 39 c) 54 d) 74

28. Presley is learning a foreign language. The scatter plot shows the total number of vocabulary words Presley has learned at the end of each of his first eight days in class.

Assuming the trend shown by the scatter plot continues, which is the best prediction of the number of words Presley will have learned by his 10th day in class?a) 50 b) 20 c) 45 d) 35

ID: A

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29. The table below gives the number of hours a local baseball team spent on batting practice during each week and the number of hits they had in games that weekend.

Number of hours 0 3 5 7 10Number of hits 2 4 5 8 10

a) Make a scatter plot of the data. Perform linear regression to find an equation of the best-fitting line. Then graph the line.b) Use your equation to predict the number of hits following a week when 20 h were spent on batting practice.

ID: A

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Algebra 1 Chapter 5 practice testAnswer Section

1. A 2. B

3. y = −12 x + 5

4. y = −23 x − 5

5. f x( ) = 5x − 4 6. f x( ) = −2x − 5 7. –10

8. y = 13 x + 6

9. y − 2 = −2 x − 7( ) or y − 12 = − 2(x − 2)

10. y = 54 x

11. 5x - y = -3 12. y = 1 13. x = –6 14. A = 4; 4x + 3y = 5 15. -3

16. 13

17. 3x − 5y = −5, 3x − 5y = 2 18. 5x + 2y = 20 19. A 20. C 21. C 22. B 23. A 24. A 25. negative

26. 27. C 28. D

ID: A

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29. a) y = 0.83x + 1.66

b) 18 hits