Quiz about Graphing Two-Variable Linear Equations

Question 1

Given the equation y = 0.5x - 3, find the slope and y-intercept.

Accepted Answer

{'slope': 0.5, 'y-intercept': -3}

Answer

{'slope': 0.5, 'y-intercept': 0}

Answer

{'slope': 1, 'y-intercept': -3}

Answer

{'slope': -0.5, 'y-intercept': -3}

Question 2

What is the slope of the line represented by the equation 3x - 9y = 18?

Accepted Answer

-1/3

Answer

-3

Answer

1/3

Answer

3

Question 3

Write the linear equation for the following word problem: 'A car rental company charges a flat fee of $30 plus $0.20 per mile driven.'

Accepted Answer

y = 0.20x + 30

Answer

y = 0.25x + 25

Answer

y = 0.30x + 20

Answer

y = 0.15x + 40

Question 4

Identify the slope and y-intercept of the equation y = 2x + 5.

Accepted Answer

Slope: 2, Y-intercept: 5

Answer

Slope: 5, Y-intercept: 2

Answer

Slope: 3, Y-intercept: 5

Answer

Slope: 2, Y-intercept: 3

Question 5

Identify the nature of solution from the graph given.

Accepted Answer

Consistent and unique solution

Answer

Inconsistent : No solution

Question 6

Which is the graph of y=-x+2?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 7

What is the solution to the systems of equations shown in the graph?

Accepted Answer

(3,-1)

Answer

(1,3)

Answer

no solution

Answer

infinite solutions

Question 8

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(2, 0)

Question 9

When you graph the exact same equation twice,

Accepted Answer

you will have infinite solutions.

Answer

you will have no solution.

Answer

you will have one solution.

Answer

you will graph a giraffe.

Question 10

Convert the equation 3y - 2x = 6 into slope-intercept form.

Accepted Answer

y = (2/3)x + 2

Answer

y = (3/2)x - 6

Answer

y = (2/3)x - 6

Answer

y = (3/2)x + 6

Question 11

Write the linear equation for the following word problem: 'An Electricial has an appointment fee of $250, then charges $75 for each additional hour.'

Accepted Answer

y=75x+250

Answer

y=-75x+250

Answer

y=250x-75

Answer

y=-250x-75

Question 12

What is the slope of the equation y = -3x + 4?

Accepted Answer

-3

Answer

2

Answer

0

Answer

-4

Question 13

Determine the y-intercept of the equation 4y = 8x - 16.

Accepted Answer

-4

Answer

-2

Answer

2

Answer

0

Question 14

If the equation of a line is y = 4x - 2, what is the y-intercept?

Accepted Answer

-2

Answer

0

Answer

2

Answer

-4

Question 15

Solve the equation 2y + 3x = 12 for y in terms of x.

Accepted Answer

y = (12 - 3x) / 2

Answer

y = (12 + 3x) / 2

Answer

y = (12 - 2x) / 3

Answer

y = (12 - x) / 6

Question 16

For the equation 5y - 15 = 10x, what is the y-intercept when it is rearranged into slope-intercept form?

Accepted Answer

3

Answer

-3

Answer

15

Answer

-15

Question 17

If a line passes through the points (2, -3) and (4, 1), what is the slope of this line?

Accepted Answer

2

Answer

-2

Answer

1

Answer

-1

Question 18

The graph shows the amounts of money raised for scholarships over a four month period.

Based on the graph, what is the constant rate of earnings for scholarships? (How much was raised per month?)

Accepted Answer

$2,000 per month

Answer

$500 per month

Answer

$1,000 per month

Answer

$4,000 per month

Question 19

Which equation matches the description if x is the number of minutes and y is the total cost.

Accepted Answer

y= 1.20x

Answer

y = 1.20

Answer

x = 1.20

Answer

x = 1.20y

Graphing Two-Variable Linear Equations

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