Free Printable Chapter 5 Review

1.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

2.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

3.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y + 7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y + 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

4.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

5.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

6.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

7.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

8.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:
(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

9.

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

10.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

11.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

12.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

13.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

14.

_{What is the y-intercept of the line?}

a)

(0,¹/₂)

b)

(0,1)

c)

(0, ^-1/2)

d)

(0, -1)

15.

Find the slope.

a)

¹/₄

b)

4

c)

-¹/₄

d)

-4

16.

Find the slope between the two points.
(3, 7) and (-4, 2)

a)

⁷/₅

b)

⁵/₇

c)

²/₃

d)

2

17.

Find the slope.

a)

1

b)

-1

c)

2

d)

-2

18.

Find the slope between the two points.
(2, 7) and (5, 8)

a)

¹/₃

b)

^-1/₃

c)

3

d)

-3

19.

Find the slope.

a)

-3

b)

^-1/₃

c)

¹/₃

d)

3

20.

Write an equation in point-slope form for the line that passes through the points (-1, 2) and (0, 0)

a)

$y-2=-2\left(x-1\right)$

b)

$y-2=-\frac{1}{2}\left(x+1\right)$

c)

$y-2=-2\left(x+1\right)$

d)

$y+2=-\frac{1}{2}\left(x-1\right)$

21.

How do we solve for slope given two points

a)

y=mx+b

b)

Y₂-Y₁/X₂-X₁

c)

Y-Y=M(X-X)

d)

X₂-X₁/ Y₂-Y₁

22.

What is the slope of the equation y-5=7(x-3)

a)

7

b)

7/5

c)

-7

d)

4

23.

Identify the slope and the coordinate the following equation passes through: y+8=2(x-1)

a)

m:2 (1,-8)

b)

m:-2 (1,-8)

c)

m: 2 (-1,8)

d)

m: -2 (-1,8)

24.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

a)

y-10 = -2(x+7)

b)

y-10 = -2(x-7)

c)

y+10 = -2(x+10)

d)

y -10 = -2x+2

25.

What is $y=\frac{3}{4}x+3$ in standard form?

a)

$3x-4y=-12$

b)

$-\frac{3}{4}x+y=3$

c)

$3x-4y=3$

d)

$x-\frac{4}{3}y=-4$

26.

Write an equation in slope-intercept form with a slope of $\frac{2}{5}$ that passes through the point (-2, 3)

a)

$y-3=\frac{2}{5}\left(x+2\right)$

b)

$y=\frac{2}{5}x+2\frac{1}{5}$

c)

$y=\frac{2}{5}x+3\frac{4}{5}$

d)

$3-5=m\left(2-2\right)$

27.

Write the equation in point slope form given two points
(-1,-7) and ( 2,5) [Use the point(2,5)]

a)

y-2=4(x-5)

b)

y-2= 2(x-5)

c)

y-5=4(x-2)

d)

y+5=4(x+2)

28.

Convert to slope intercept form
y-3=-2(x+4)

a)

y=2x-5

b)

y=-2x+7

c)

y=-2x-5

d)

y=-2x +1

29.

Which of the following is the point on the line in the equation $y-3=\frac{1}{5}\left(x-2\right)$

a)

(-2, -3)

b)

(-3, -2)

c)

(2, 3)

d)

(3, 2)

30.

Write $y-3=\frac{2}{3}\left(x-6\right)\$ in slope-intercept form.

a)

$y=\frac{2}{3}x-1$

b)

$y=\frac{2}{3}x-9$

c)

$y=3x+1$

d)

y $y=2x+3$

31.

What is the slope-intercept form of $y-2=\frac{1}{2}\left(x+2\right)$

a)

$y=\frac{1}{2}x-3$

b)

$y=\frac{1}{2}x+4$

c)

$y=\frac{1}{2}x+3$

d)

$y=\frac{1}{2}x-2$

32.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

a)

y-5=-3(x-10)

b)

y=-3x+35

c)

y+5=-3(x+10)

d)

y=-3x-35

33.

Write the equation of the line in Point-Slope form that goes through the point (10,5) and has a slope of -3

a)

y-5=-3(x-10)

b)

y=-3x+35

c)

y+5=-3(x+10)

d)

y=-3x-35

34.

Identify the slope:
y - y₁ = m (x - x₁)

a)

y

b)

x

c)

x₁

d)

m

35.

Is this point-slope or slope-intercept?
y = 3x - 3

a)

Point-Slope

b)

Slope-Intercept

36.

Find the slope and y-intercept of the following:

3x - y = 9

a)

Slope = 3, y-intercept = -9

b)

Slope = 9, y-intercept = 3

c)

Slope = 3, y-intercept = 9

d)

Slope = -1, y-intercept = 3

37.

Find the slope and y-intercept:

6x + -2y = 18

a)

slope = -6, y-intercept = -2

b)

slope = -3, y-intercept = 9

c)

slope = 3, y -intercept = -9

d)

slope = 6, y-intercept = 3

38.

What is the y-intercept:

7x + y = 10

a)

b = -10

b)

b = 1/7

c)

b = 7

d)

b = 10

39.

What is the standard form of a linear equation?

a)

y = mx + b

b)

Ax + By = C

40.

Find the slope and y-intercept of the following:

y = -8x + 13

a)

slope = -8/13, y-intercept = 1

b)

slope = -8, y-intercept = 13

c)

slope = 8/13, y -intercept = -8

d)

slope = 13, y-intercept = -8

41.

Write the equation of the line in slope-intercept form.

a)

y = x + 3

b)

y = 1/2x + 3

c)

y = 3x + 2

d)

y = 3

42.

Which equation is in correct standard form?

a)

$y=\frac{5}{7}x-7$

b)

$6x-8y=90$

c)

$\frac{3}{5}x-\frac{2}{7}y=12$

d)

$y-5=\frac{2}{3}\left(x+5\right)$

43.

Which equation is in correct slope-intercept form?

a)

$y=\frac{5}{9}x+6$

b)

$6x-8y=90$

c)

$y-3=\frac{3}{4}x-8$

d)

$y-3=\frac{2}{3}\left(x+1\right)$

44.

Which equation is in point-slope form?

a)

$y-2=\frac{2}{3}\left(x+3\right)$

b)

$y=\frac{1}{3}x+5$

c)

$2x-5y=60$

d)

$y-3=\frac{2}{3}x+2$

45.

Horizontal means...

a)

left and right

b)

up and down

46.

Vertical means...

a)

left and right

b)

up and down

47.

$x=-3$ forms a:

a)

Vertical line at -3 on the y-axis

b)

Horizontal line at -3 on the x-axis

c)

Vertical line at -3 on the x-axis

d)

Horizontal line at -3 on the y-axis

48.

$y=-4$ forms a:

a)

Vertical line at -4 on the y-axis

b)

Horizontal line at -4 on the x-axis

c)

Vertical line at -4 on the x-axis

d)

Horizontal line at -4 on the y-axis

49.

$y=1$ forms a:

a)

Vertical line at 1 on the y-axis

b)

Horizontal line at 1 on the x-axis

c)

Vertical line at 1 on the x-axis

d)

Horizontal line at 1 on the y-axis

50.

The slope of a vertical line is

a)

undefined

b)

imaginary

c)

zero

d)

-1

51.

The slope of a horizontal line

a)

imaginary

b)

zero

c)

undefined

d)

1

52.

The slope of $x=5$ is

a)

zero

b)

undefined

c)

imaginary

d)

There is no slope

53.

The slope of $y=7$ is

a)

imaginary

b)

7

c)

undefined

d)

zero

54.

Write $y=\frac{2}{3}x-2$ in standard form.

a)

$-\frac{2}{3}x+y=-2$

b)

$x-\frac{3}{2}y=3$

c)

$2x-3y=6$

d)

$3y=2x-6$

55.

Write $y=\frac{4}{5}x-1$ in standard form.

a)

$-\frac{4}{5}x+y=-1$

b)

$4x-5y=5$

c)

$x-\frac{5}{4}y=\frac{5}{4}$

d)

It is already in Standard form

56.

$3x-5y=12$ is in which form?

a)

Standard

b)

Point-slope

c)

Slope-intercept

57.

$y=\frac{1}{2}x+5$ is in which form?

a)

Standard

b)

Point-slope

c)

Slope-intercept

58.

$y=\frac{1}{2}x+5$ is in which form?

a)

Standard

b)

Point-slope

c)

Slope-intercept

59.

What is the x-intercept of

4x-3y=8

?

a)

2

b)

4

c)

-3

d)

$\frac{8}{-3}$

60.

Hensley wants to update her wardrobe. Shorts cost $12 and shirts cost $15. Hensley has $100 to spend. Which equation models this situation?

a)

$\text{12x-15y=100}$

b)

12x + 15y = 100

c)

27xy = 100

d)

3xy = 100

61.

Diego takes out a $10,000 loan to buy a car. His payment is $339/mo same-as-cash. Which equation models the amount Diego owes in terms of monthly payments made?

a)

y = $339x+$10,000

b)

y = -$339x +$10,000

c)

y = $339x - $10,000

d)

y = $10,000x - $339

62.

A rental car company charges $25/day, d, and $0.20 per mile, m. Kim's insurance company gave her $500 for a rental car while her car was being repaired after an accident. Which equation models this situation?

a)

$500 + $0.20m = $25d

b)

m = $25 + $0.20 + $500d

c)

$25d + $0.20m = $500

d)

$25d - $0.20 =$500

63.

Rachell's insurance company gave her $400 for a rental car. The rental company charges $20/day and $0.30/mile. If Rachell drove the car for 4 days and 225 miles, how much money will she have left over?

a)

$147.50

b)

$252.50

c)

$400

d)

She owes $20

Chapter 5 Review

Total questions: 63

Worksheet time: 6hrs 34mins

Similar Resources on Wayground