Quiz about Forms of Linear Equations

Question 1

What does "m" represent in y=mx+b?

Accepted Answer

slope

Answer

y-intercept

Answer

macaroni

Answer

nothing

Question 2

What is the slope in the equation:  y=4x+3

Accepted Answer

4

Answer

3

Answer

4x

Answer

x

Question 3

What is the y-intercept in the following equation:  y=-4x-5

Accepted Answer

-5

Answer

-4

Answer

-4x

Answer

5

Question 4

How would you write the equation with a slope of 2/3 and a y-intercept of -3

Accepted Answer

y=2/3x-3

Answer

y=3/2x+3

Answer

y=2/3-3

Answer

y=2/3x+3

Question 5

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

Accepted Answer

y= 4x+3

Answer

y= -1x+3

Answer

y=1/4x+3

Answer

y= -4x+3

Question 6

Which of these lines has a slope of -3?

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 7

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

Accepted Answer

y = 4/3x - 4

Answer

y = -4/3x + 3

Answer

y = -4x + 12

Answer

y = 4/3x - 12

Question 8

Give the x-intercept
3x + 8y = 24

Accepted Answer

(8, 0)

Answer

(0, 8)

Answer

(3, 0)

Answer

(0, 3)

Question 9

Find the x and y intercepts
4x - 5y = 40

Accepted Answer

x intercept is 10
y intercept is -8

Answer

x intercept is 10
y intercept is 8

Answer

x intercept is 10
y intercept is 20

Answer

x intercept is 8
y intercept is 10

Question 10

Name the x- and y-intercepts for the equation:
2x + y = 6

Accepted Answer

(3, 0) and (0, 6)

Answer

(0, 3) and (6, 0)

Answer

(0, -3) and (-6, 0)

Answer

(-3, 0) and (0, -6)

Question 11

Which of these represents point-slope form of a linear equation?

Accepted Answer

y - y₁ = m(x - x₁)

Answer

Ax + By = C

Answer

y = mx + b

Question 12

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

Accepted Answer

(-4, 3)

Answer

(3, -4)

Answer

(-3, -4)

Answer

(-4, -3)

Question 13

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

Accepted Answer

-3

Answer

-1

Answer

1

Answer

5

Question 14

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

Accepted Answer

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

Answer

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

Answer

y+ 7 = 4(x - 4)

Answer

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

Question 15

Which is the correct equation for the graph?

Accepted Answer

x-2y=-6

Answer

Y=-6x+6

Answer

Y=-6x-6

Answer

x+y=6

Question 16

Convert to slope-int

Accepted Answer

y=3x-9

Answer

y=-3x+9

Answer

y=3x-3

Answer

y=-6x+3

Question 17

Match the graph to the equation

Accepted Answer

y=4/3x-4

Answer

x+y=-4

Answer

4x+3y=1

Answer

y=-4/3x-4

Question 18

Match the graph to the equation

Accepted Answer

y= 3/5x - 1

Answer

X-Y=1

Answer

3x-5y=1

Answer

y= -3/5x - 1

Question 19

Match the graph to the equation

Accepted Answer

y=3x-2

Answer

3x-2y=1

Answer

x-y=3

Answer

y=-3x-2

Question 20

A Taxi driver's pay was charging at the following rates
x- miles driven
y-total cost
(2,11)
(5,21.5)
Find and equation that describes how much he charges

Accepted Answer

y=3.5x+4

Answer

y=3x+5.5

Answer

y=2.5x+7

Answer

y=3x-4

Question 21

Write the equation of the line.
Slope = -4, passing through (-1, 5)

Accepted Answer

y-5 = -4(x+1)

Answer

y+5 = -4(x-1)

Answer

y-5 = 4 (x-1)

Answer

y = -4x - 9

Question 22

Write in standard form.
4x - 2y + 3 = 7 - 4y

Accepted Answer

4x + 2y = 4

Answer

4x - 6y = 10

Answer

4x + 6y = 4

Answer

4x -2y = 4

Question 23

Give the slope and y-intercept
6x - 3y = -9

Accepted Answer

m=2 b=3

Answer

slope is 6
y-intercept is 9

Answer

slope is 2
y-intercept is -3

Answer

m = 3
b = 2

Question 24

Write the following equation in slope intercept form:
y + 2 = -3(x - 5)

Accepted Answer

y = -3x + 13

Answer

y = -3x + 17

Answer

y = -3x - 13

Answer

y = -3x - 17

Question 25

Write the equation 4x-2y=10 in slope-intercept form.

Accepted Answer

y=2x-5

Answer

y=2x+5

Answer

y=-4x-5

Answer

y=4x-5

Question 26

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

Accepted Answer

(-4, 3)

Answer

(3, -4)

Answer

(-3, -4)

Answer

(-4, -3)

Question 27

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

Accepted Answer

y + 3 = 1(x + 2)

Answer

y - 3 = 1(x - 2)

Answer

y -3 = -1(x + 2)

Answer

y + 3 = -1(x - 2)

Question 28

Write the equation of point slope form given the following
(2,6), (5, 18)

Accepted Answer

y-6=4(x-2)

Answer

y-2=4(x-6)

Answer

y+2=4(x+6)

Answer

y+6=4(x+2)

Question 29

Find the slope of the line that passes between these two points:
(3, 8) and (2, 10)

Accepted Answer

m = -2

Answer

m = -5/2

Answer

m = 5/2

Answer

m = 2

Question 30

What is the slope of this line?

Accepted Answer

m = 2/3

Answer

m = 3/2

Answer

m = -2/3

Answer

m = -3/2

Question 31

Which equation represents the line graphed? (Click on the image to enlarge)

Accepted Answer

C. y = -2x + 18

Answer

A. y = -x + 18

Answer

B. y = x + 18

Answer

D. y = -18x + 9

Question 32

Zara made an initial deposit to a bank account and then added a fixed amount every week. The table shows the money in her account. Which equation represents the situation?

Accepted Answer

y = 20x + 120

Answer

y = 30x + 100

Answer

y = 120x + 120

Answer

y = 50x + 100

Question 33

What equation represents this graph? (Click on the image to enlarge)

Accepted Answer

y = 40x

Answer

y = 60x

Answer

y = 80x

Answer

y = 20x

Question 34

Which statement below accurately represents the graph? (Click on the image to enlarge)

Accepted Answer

$500 is earned for every 8 hours worked

Answer

$100 is earned for each hour worked

Answer

$100 is earned for every 2 hours worked

Answer

$200 is earned for every 3 hours worked

Question 35

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

Accepted Answer

y=15x+80

Answer

y=15x

Answer

y=x+15

Answer

y=80x+15

Question 36

Which equation best represents the relationship between x and y in the table shown?

Accepted Answer

y= 5x+5

Answer

y=1/5x+5

Answer

y=15x+5

Answer

y=10x+5

Question 37

A rain gauge shows 3 cm of rainwater. Which of the following equations give the height, h, if it rains at a rate of 0.25 cm per hour, after t amount of hours?

Accepted Answer

h = 0.25t + 3

Answer

h = 3t + 0.25

Answer

t = 0.25t - 3

Answer

t = 3h + 0.25

Question 38

The following problem has been solved, but there may be an error. State whether the problem is correct or not. If not, explain the error.

Accepted Answer

The student should have plotted a y-intercept of 3, then counted down 1 and to the right 4.

Answer

This is correct.

Answer

The student should have plotted a y-intercept of -3, then counted down 1 and to the right 4.

Answer

The student should have plotted a y-intercept of -3, then counted up 1 and to the right 4.

Question 39

A zoo keeper thinks there is a problem with the Mole-Rat population at the zoo. He starts keeping track of the animals in the tunnels. 7 days into his monitoring he counts 120 mole rats, 13 days in he counts 108.
_{what information is provided?}

Accepted Answer

two points

Answer

point and a slope

Answer

2 objects-standard form

Answer

slope and y-intercept

Question 40

Write the following equation in slope intercept form:
y + 2 = -3(x - 5)

Accepted Answer

y = -3x + 13

Answer

y = -3x + 17

Answer

y = -3x - 13

Answer

y = -3x - 17

Question 41

What is the slope of the line represented by 5x - 12y = 24?

Accepted Answer

5/12

Answer

-2

Answer

24/5

Answer

-12

Question 42

The graph of a function is shown on the grid.

Which ordered pair best represents the location of the y-intercept?

Accepted Answer

(0, -2)

Answer

( ¹/₃ , 0)

Answer

(0, 1/3)

Answer

(-2, 0)

Question 43

The graph of linear function g is shown on the grid. What is the zero of g?

Accepted Answer

-6

Answer

-8

Answer

3

Answer

-9

Question 44

The function y = 3.75 + 1.5(x - 1) can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles?

Accepted Answer

$1.50 per mile

Answer

$3.75 per mile

Answer

$4.25 per mile

Answer

$5.25 per mile

Question 45

Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately 450 m when it was first discovered. The thickness of the ice shelf is decreasing at an average rate of 0.06 m per day.

Which function can be used to find the thickness of the ice shelf in meters x days since the discovery?

Accepted Answer

t(x) = 450 - 0.06x

Answer

t(x) = - 0.06(x + 450)

Answer

t(x) = 450 + 0.06x

Answer

t(x) = 0.06 (x + 450)

Question 46

Rewrite in standard form

y - 2 = 4/3(x - 1)

Accepted Answer

4x - 3y = -2

Answer

4x + 3y = -2

Answer

4x - 3y = 1

Answer

4x - 3y = -2/3

Question 47

convert to slope intercept form:
y - 5 = 3 (x - 2)

Accepted Answer

y = 3x - 1

Answer

y = 3x + 7

Answer

y = 3x + 11

Question 48

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

Accepted Answer

y = 4x + 11

Answer

y = 4x - 11

Answer

y = 4x - 5

Question 49

Rewrite in standard form.

4y = 3 - 4/5x

Accepted Answer

4x + 20y = 15

Answer

4x - 20y = 15

Answer

4x + 4y = 15

Answer

4x + 4y = 3

Forms of Linear Equations

53 questions

What does "m" represent in y=mx+b?

What is the slope in the equation: y=4x+3

What is the y-intercept in the following equation: y=-4x-5

How would you write the equation with a slope of 2/3 and a y-intercept of -3

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

Which of these lines has a slope of -3?

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

Give the x-intercept
3x + 8y = 24

Find the x and y intercepts
4x - 5y = 40

Name the x- and y-intercepts for the equation:
2x + y = 6

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Forms of Linear Equations

53 questions

What does "m" represent in y=mx+b?

What is the slope in the equation: y=4x+3

What is the y-intercept in the following equation: y=-4x-5

How would you write the equation with a slope of 2/3 and a y-intercept of -3

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

Which of these lines has a slope of -3?

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

Give the x-intercept3x + 8y = 24

Find the x and y intercepts4x - 5y = 40

Name the x- and y-intercepts for the equation:2x + y = 6

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

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

Give the x-intercept
3x + 8y = 24

Find the x and y intercepts
4x - 5y = 40

Name the x- and y-intercepts for the equation:
2x + y = 6