Free Printable 4.1-4.3 Review

1.

Write the equation of the line in standard form

a)

y=2/3x-2

b)

-2/3x-y=-2

c)

-2x+3y=-6

d)

2x-3y=6

2.

What is standard form of a line?

a)

y = mx + b

b)

Ax + By = C

c)

y - y1 = m(x - x1)

d)

y = Ax + By

3.

Write the standard form of the equation for the graph of this line.

a)

4x + 4y = -1

b)

4x + 4y = 1

c)

x/4 + y/4 = 1

d)

x + y = -4

4.

What are the x- and y-intercepts of the linear function given by the equation x + y = -2

a)

(-2, -2)

b)

(-2, 0) and (0, -2)

c)

(0, 0)

d)

(2, 0) and (0, 2)

5.

Write an equation in standard form that passes through $\left(4,-3\right)$ and $\left(2,0\right)$

a)

$2x-6y=-3$

b)

$x+3y=3$

c)

$3x+2y=6$

d)

$2x+6y=-3$

6.

Write the standard form of the equation for the line: $y=\frac{1}{4}x+4$

a)

$x+4y=8$

b)

$x-4y=-16$

c)

$-x+y=16$

d)

$4y+x=8$

7.

Rewrite the equation into Standard form

a)

$5x+8y=56$

b)

$-5x+8y=56$

c)

$8x+5y=56$

d)

$5x+y=7$

8.

What is the equation of the horizontal line that goes through the point (6, 7) ?

a)

x = 6

b)

x = 7

c)

y = 6

d)

y = 7

9.

Which of the following would be graphed as a horizontal line?

a)

y = -4

b)

x = 7

c)

y = 3x-4

d)

None of the above

10.

What is the slope of a horizontal line?

a)

0

b)

undefined

c)

1

11.

What is the equation of the line in the graph?

a)

x = −1

b)

y = −1

c)

y = −1x

d)

y = x − 1

12.

What type of line is the equation x = 8 ?

a)

vertical

b)

horizontal

c)

neither

13.

What type of line has an undefined slope?

a)

vertical

b)

horizontal

c)

neither

14.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

15.

What is the equation of the vertical line that goes through the point (-3,5)?

a)

x = -3

b)

x = 5

c)

y = -3

d)

y = 5

16.

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)

17.

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)

18.

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

19.

Rewrite in standard form $y-2=\frac{4}{3}\left(x-1\right)$

a)

$4x+3y=-2$

b)

$4x-3y=-2$

c)

$4x-3y=1$

d)

$4x-3y=-\frac{2}{3}$

20.

Write the following equation in slope-intercept form:
4x - 3y = 12

a)

y = -4/3x + 3

b)

y = -4x + 12

c)

y = 4/3x - 4

d)

y = 4/3x - 12

21.

Convert the equation to slope-intercept form: y + 4 = 4/5 ( x - 5 )

a)

y = 4/5x - 8

b)

y = 4/5x + 8

c)

y = 4/5x - 4

d)

y = 4/5x + 4

22.

Convert the equation to slope-intercept form: y - 5 = 3 ( x + 2 )

a)

y = 3x + 8

b)

y = 3x + 11

c)

y = 3x + 1

d)

y = 3x - 8

23.

Determine the slope and y-intercept from the following equation: 4x + y = -10

a)

slope: 4 y-intercept: (0,10)

b)

slope: -4 y-intercept: (0,-10)

c)

slope: -4 y-intercept: (0,10)

d)

slope: 4 y-intercept: (0,-10)

24.

What is the slope intercept form of the equation
4x - 8y = 72

a)

y = -4x + 72

b)

y = -4x - 9

c)

y = 1/2x - 9

d)

y = 4x + 9

25.

What is the slope of the line 5x-10y=21

a)

-5/10

b)

-10/5

c)

1/2

d)

-2

26.

The table outlines the cost of a monthly gym membership. Which equation best represents this relationship?

a)

T = 45m

b)

T = 30m + 25

c)

T = 30m + 15

d)

T = 15m

27.

Justin placed a glass of water on his desk. The table shows the height of the water level each day at noon. Which equation best represents the relationship between h and d?

a)

h = 4 + 2d

b)

h = 10 – d

c)

h = 10 – 2d

d)

h = 12 – 2d

28.

Which equation represents the relation between x and y as shown in the table?

a)

y = 2x + 2

b)

y = 2x + 6

c)

y = 4x + 6

d)

y = 4x + 12

29.

Bonnie pays a monthly fee of $80 at the health club and an additional $9 every time she attends a yoga class. Which expression below shows her total cost T if she attends y yoga classes this month?

a)

T = 80 + 9y

b)

T = 80y + 9

c)

T = 80 + 9 + y

d)

T = (80+9)y

30.

Yvette has a home-based business putting on children's parties. She charges $55 to design the party and then $4 per child. Write a function rule that relates the total cost of the party to the number of children n.

a)

f(n) = 4 + 55n

b)

f(n) = 4 - 55n

c)

f(n) = 4n - 55

d)

f(n) = 55 + 4n

4.1-4.3 Review

Total questions: 30

Worksheet time: 3hrs 45mins

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