Algebra 1 Chapter 4 Practice Test

Name _______________________________

Find the slope of the line that passes through each pair of points. 1) (–4, 2), (2,10) 2) (2,–8), (–1,–8)

1) ____________ 2) ____________

3) Find the value of r so the line that passes through (9, r), and (6, -3) 1 and has a slope of . 3

3) ____________

4) ____________ 4) Write in slope-intercept form.

Graph each equation. 5 5) y x6 7

6)

5x 4 y 8 10 9 8 7 6 5 4 3 2 1

10 9 8y 7 6 5 4 3 2 1 x -10-9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

7x – 3y = 18

1 2 3 4 5 6 7 8 9 10

x -10-9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

1 2 3 4 5 6 7 8 9 10

Write an equation for each of the following lines in slope-intercept form. 7) Passes through the point 3 (8,2) with a slope of . 4

8) Passes through the

points (–3,0) and (1,–6).

7) ________________ 8) ________________

9) Write the point-slope form of an equation for the line that passes through (–3,–7) with slope of –9.

10) Write y

2 x 3 in standard form. 5

9) ________________

10) ________________

4 x 3 in slope-intercept form. 3

11) ________________

12) Write the slope-intercept form of an equation for the line that 1 passes through (4,–2), and is parallel to the graph of y x 7 . 2

12) ________________

11) Write y 5

13) Write the slope-intercept form of an equation for the line that passes through (4,–1), and is perpendicular to the graph of 7x – 2y = 3. 13) ________________

14) You want to rent a snowboard for a ski trip. There is an initial fee of $25, plus a $45 daily fee. Write a linear equation in slope-intercept form for this situation where y represents the cost of renting a snowboard and x represents the number of days rented. 14) ______________ 15) Between 2000 and 2008 the rent on Vanessa's apartment is increasing $75 per year. Her rent in 2006 was $1050. Write an equation in slope-intercept form that gives the monthly rent y (in dollars), in terms of the year x. Let year 0 correspond to year 2000. 15) ______________ Ch 4 Practice Test

Algebra 1 Chapter 4 Practice Test 3 x8 4

1)

4 3

7)

y

2)

0

8)

3)

r 4

9 3 y x 2 2

9)

y + 7 = –9(x + 3)

4)

7 y x6 3

10)

2x – 5y = 15

11)

y

4 x 1 3

12)

y

1 x4 2

13)

2 1 y x 7 7

14)

y = 45x + 25

15)

y = 75x + 600

5)

y 10 9 8 7 6 5 4 3 2 1 x

-10-9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

6)

1 2 3 4 5 6 7 8 9 10

10 9 8 7 6 5 4 3 2 1 x -10-9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

1 2 3 4 5 6 7 8 9 10

Ch 4 Practice Test

Name _______________________________

Find the slope of the line that passes through each pair of points. 1) (–4, 2), (2,10) 2) (2,–8), (–1,–8)

1) ____________ 2) ____________

3) Find the value of r so the line that passes through (9, r), and (6, -3) 1 and has a slope of . 3

3) ____________

4) ____________ 4) Write in slope-intercept form.

Graph each equation. 5 5) y x6 7

6)

5x 4 y 8 10 9 8 7 6 5 4 3 2 1

10 9 8y 7 6 5 4 3 2 1 x -10-9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

7x – 3y = 18

1 2 3 4 5 6 7 8 9 10

x -10-9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

1 2 3 4 5 6 7 8 9 10

Write an equation for each of the following lines in slope-intercept form. 7) Passes through the point 3 (8,2) with a slope of . 4

8) Passes through the

points (–3,0) and (1,–6).

7) ________________ 8) ________________

9) Write the point-slope form of an equation for the line that passes through (–3,–7) with slope of –9.

10) Write y

2 x 3 in standard form. 5

9) ________________

10) ________________

4 x 3 in slope-intercept form. 3

11) ________________

12) Write the slope-intercept form of an equation for the line that 1 passes through (4,–2), and is parallel to the graph of y x 7 . 2

12) ________________

11) Write y 5

13) Write the slope-intercept form of an equation for the line that passes through (4,–1), and is perpendicular to the graph of 7x – 2y = 3. 13) ________________

14) You want to rent a snowboard for a ski trip. There is an initial fee of $25, plus a $45 daily fee. Write a linear equation in slope-intercept form for this situation where y represents the cost of renting a snowboard and x represents the number of days rented. 14) ______________ 15) Between 2000 and 2008 the rent on Vanessa's apartment is increasing $75 per year. Her rent in 2006 was $1050. Write an equation in slope-intercept form that gives the monthly rent y (in dollars), in terms of the year x. Let year 0 correspond to year 2000. 15) ______________ Ch 4 Practice Test

Algebra 1 Chapter 4 Practice Test 3 x8 4

1)

4 3

7)

y

2)

0

8)

3)

r 4

9 3 y x 2 2

9)

y + 7 = –9(x + 3)

4)

7 y x6 3

10)

2x – 5y = 15

11)

y

4 x 1 3

12)

y

1 x4 2

13)

2 1 y x 7 7

14)

y = 45x + 25

15)

y = 75x + 600

5)

y 10 9 8 7 6 5 4 3 2 1 x

-10-9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

6)

1 2 3 4 5 6 7 8 9 10

10 9 8 7 6 5 4 3 2 1 x -10-9 -8 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10

1 2 3 4 5 6 7 8 9 10

Ch 4 Practice Test