Quiz about Algebra Semester Test

Question 1

Find the slope between each pair of points.

(1, 1) and (4, 3)

Accepted Answer

2/3

Answer

3/2

Answer

1

Answer

4/3

Question 2

Find the slope between each pair of points.

(-4, 13) and (6, -2)

Accepted Answer

-1.5

Answer

2.5

Answer

-0.5

Answer

3.0

Question 3

What is this formula used for?

$$\frac{y_2-y_1}{x_2-x_1}$$

Accepted Answer

To find the slope between two points

Answer

To find the distance between two points

Answer

To find the midpoint between two points

Question 4

Find the slope through these two points.

Accepted Answer

8/3

Answer

-8/3

Answer

-2/3

Answer

2/3

Question 5

Find the slope given the points (1,4) and (5,9).

Accepted Answer

5/4

Answer

4/5

Answer

-5/4

Answer

2/3

Question 6

Given the slope and y-intercept of the line, write the equation in slope-intercept form.

slope = 2; y-intercept = -1

Accepted Answer

y = 2x - 1

Answer

y = 2x + 1

Answer

y = 2x

Answer

y = -2x - 1

Question 7

Find the slope

Accepted Answer

-5/3

Answer

-3/5

Answer

5/3

Answer

3/5

Question 8

Given the slope and y-intercept of the line, write the equation in slope-intercept form.

slope = -1; y-intercept = 7

Accepted Answer

y = -x + 7

Answer

y = -x - 7

Answer

y = x + 7

Answer

y = -1x + 0

Question 9

Given the slope and y-intercept of the line, write the equation in slope-intercept form.

slope = 1/4; y-intercept = 0

Accepted Answer

y = (1/4)x

Answer

y = (1/2)x

Answer

y = x/4

Answer

y = 4x

Question 10

Write each question in slope-intercept form. Identify the slope and y-intercept.

2x + y = 3

Accepted Answer

y = -2x + 3; slope = -2, y-intercept = 3

Answer

y = 2x - 3; slope = 2, y-intercept = -3

Answer

y = -3x + 2; slope = -3, y-intercept = 2

Answer

y = 2x + 3; slope = 2, y-intercept = 3

Question 11

Write each equation in slope-intercept form. Identify the slope and y-intercept.

x - y = -8

Accepted Answer

y = x + 8; slope = 1, y-intercept = 8

Answer

y = 2x + 4; slope = 2, y-intercept = 4

Answer

y = 3x - 5; slope = 3, y-intercept = -5

Answer

y = -x - 8; slope = -1, y-intercept = -8

Question 12

Write each equation in slope-intercept form. Identify the slope and y-intercept.

3x - 2y = -14

Accepted Answer

y = (3/2)x + 7; slope = 3/2, y-intercept = 7

Answer

y = (1/2)x - 7; slope = 1/2, y-intercept = -7

Answer

y = (2/3)x - 5; slope = 2/3, y-intercept = -5

Answer

y = -3x + 14; slope = -3, y-intercept = 14

Question 13

Write each equation in slope-intercept form. Identify the slope and y-intercept.

-6x + 4y = 20

Accepted Answer

y = (3/2)x + 5; slope = 3/2, y-intercept = 5

Answer

y = (1/2)x - 5; slope = 1/2, y-intercept = -5

Answer

y = -2x + 10; slope = -2, y-intercept = 10

Answer

y = 4x + 2; slope = 4, y-intercept = 2

Question 14

Give the equation for each form.

Slope-Intercept Form

Accepted Answer

y = mx + b

Answer

y = b + mx

Answer

y = mx - b

Answer

y = m + bx

Question 15

Give the equation for each form below.

Standard Form

Accepted Answer

Ax + By = C

Answer

By = Cx + A

Answer

C = Ax + By

Answer

Ax + C = By

Question 16

Write the equation of the line with the given slope and y-intercept in slope-intercept form.

slope = 1/3; y-intercept = -1

Accepted Answer

y = (1/3)x - 1

Answer

y = (1/3)x + 2

Answer

y = -1/3x - 1

Answer

y = (1/3)x + 1

Question 17

Write the equation of the line with the given slope and y-intercept in slope-intercept form.

slope = 1; y-intercept= 8

Accepted Answer

y = x + 8

Answer

y = 2x + 8

Answer

y = x - 8

Answer

y = 8x + 1

Question 18

Find the x-intercept and y-intercept of each equation.

y = -x + 5

Accepted Answer

x-intercept: (5, 0), y-intercept: (0, 5)

Answer

x-intercept: (5, 5), y-intercept: (0, 0)

Answer

x-intercept: (0, 5), y-intercept: (5, 0)

Answer

x-intercept: (10, 0), y-intercept: (0, 10)

Question 19

Find the x-intercept and y-intercept of each question.

y = -4/3x + 2

Accepted Answer

x-intercept: (1.5, 0), y-intercept: (0, 2)

Answer

x-intercept: (2, 0), y-intercept: (0, 4)

Answer

x-intercept: (3, 0), y-intercept: (0, 1)

Answer

x-intercept: (0, 2), y-intercept: (1.5, 0)

Question 20

Find the x-intercept and y-intercept of each equation algebraically.

y = -1/4x + 1

Accepted Answer

x-intercept: (4, 0), y-intercept: (0, 1)

Answer

x-intercept: (0, 1), y-intercept: (4, 0)

Answer

x-intercept: (2, 0), y-intercept: (0, 2)

Answer

x-intercept: (1, 0), y-intercept: (0, -1)

Question 21

What is the slope of the line y = 4?

Accepted Answer

0

Answer

2

Answer

-4

Answer

1

Question 22

What is the slope of the line x = 0?

Accepted Answer

undefined

Answer

0

Answer

1

Answer

-1

Question 23

Which axis is y = -1 parallel to?

Accepted Answer

x-axis

Answer

y-axis

Answer

z-axis

Answer

line y = 1

Question 24

Which axis is x = 4 parallel to?

Accepted Answer

y-axis

Answer

x-axis

Answer

y = 4

Answer

z-axis

Algebra Semester Test

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