Quiz about Linear Functions Test

Question 1

If m=3 and b=6, what is the correct slope intercept equation?

Accepted Answer

y=3x+6

Answer

y=3-6

Answer

y=3x-6

Answer

y=6x+3

Question 2

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

Answer

y+ 7 = 4(x - 4)

Answer

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

Question 3

What form of linear equation is this?

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

Accepted Answer

Slope-intercept form

Answer

Point-slope form

Answer

Standard form

Question 4

Based on the line shown, which would be the easiest equation to write?

Accepted Answer

Slope-intercept form

Answer

Poin-slope form

Answer

Standard form

Question 5

If a linear function is given as $$f\left(x\right)\ =\ 20x\ +\ 8$$

what if $$f\left(2\right)$$ ?

Accepted Answer

48

Answer

2

Answer

40

Answer

10

Question 6

In the function $$f\left(x\right)\ =\ 20x\ +\ 8$$ what is the rate of change?

Accepted Answer

20

Answer

8

Answer

28

Answer

12

Question 7

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 8

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 + 7 = 4(x - 4)

Answer

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

Answer

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

Question 9

Convert the equation to slope-intercept form;

$$y\ -\ 4\ =\ 2\left(x\ +\ 1\right)$$

Accepted Answer

y = 2x + 6

Answer

y = 4x + 2

Answer

y = -4x + 2

Answer

y = 2x -2

Question 10

Which equation is graphed here?

Accepted Answer

$$y\ -6\ =\ -\frac{3}{4}\left(x\ -\ 5\right)$$

Answer

$$y\ =\ 2x\ -\ 10$$

Answer

-8x + 2y = 0

Answer

$$y\ -\ 6\ =\ \frac{3}{4}\left(x\ -\ 5\right)$$

Question 11

Which is NOT a linear function?

Accepted Answer

$$f\left(x\right)\ =\ 7x^2\ -\ 3x\ +\ 8$$

Answer

$$f\left(x\right)\ =\ 2x\ -\ 5$$

Answer

$$7x\ +\ 5y\ =\ 35$$

Answer

y - 3 = 1/5(x + 7)

Question 12

The graph shows a linear function

Accepted Answer

False

Answer

True

Question 13

Which table is linear?

Accepted Answer

Table B

Answer

Table A

Question 14

For the linear equation

$$y\ =\ 3x\ -\ 8$$

what is the y-intercept?

Accepted Answer

-8

Answer

3

Answer

8

Answer

-3

Question 15

Which line has a negative slope?

Accepted Answer

Line C

Answer

Line A

Answer

Line B

Question 16

What is the standard form graph for the line shown?

Accepted Answer

$$x\ +\ 2y\ =\ 4$$

Answer

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

Answer

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

Answer

$$-6x\ +\ 12y\ =\ 0$$

Question 17

What is slope-intercept form of a linear equation?

Accepted Answer

y = mx + b

Answer

y - y1 = m(x - x1)

Answer

Ax + By = C

Question 18

If two lines have the same slope they are _______.

Accepted Answer

Parallel

Answer

Perpendicular

Answer

Intersecting

Answer

Skew

Question 19

If two lines are ________ their slopes are negative reciprocals.

Accepted Answer

Perpendicular

Answer

Skew

Answer

Intersecting

Answer

Parallel

Question 20

What is the negative reciprocal of

$$-\frac{2}{3}$$

Accepted Answer

$$\frac{3}{2}$$

Answer

3

Answer

2

Answer

$$-\frac{3}{2}$$

Question 21

Which line is prependicular to

$$y\ -\ 4\ =\ \frac{1}{2}\left(x\ +\ 7\right)$$

Accepted Answer

y = -2x + 11

Answer

(-7, 4)

Answer

2x + 5y = 8

Answer

y = 2x + 3

Question 22

Parallel lines can have the same y-intercept

Accepted Answer

False

Answer

True

Question 23

Perpendicular lines meet at a 90 degree angle.

Accepted Answer

True

Answer

False

Question 24

What is the x-intercept of 3x - 8y = 30

Accepted Answer

10

Answer

-8

Answer

3

Answer

$$-\frac{30}{8}$$

Question 25

Linear equations can cross the x-axis more than once.

Accepted Answer

False

Answer

True

Question 26

What is the y-intercept of the graph?

Accepted Answer

3

Answer

-3

Answer

1.5

Answer

0

Question 27

What is the slope of the graph?

Accepted Answer

-2

Answer

2

Answer

1/2

Answer

-1/2

Question 28

Which line has the greatest slope?

Accepted Answer

A

Answer

B

Answer

C

Question 29

Convert y = -6x + 5 to standard form.

Accepted Answer

6x + y = 5

Answer

y = 6x - 5

Answer

-6x + y = 5

Answer

y - 5 = (x + 6)

Question 30

For the function

$$f\left(x\right)\ =\ 2\left(x\ -\ 3\right)\ +\ 4$$

what is f(7)

Accepted Answer

12

Answer

8

Answer

7

Answer

2

Question 31

Which two lines are parallel?

i. $$y\ =\ 2x\ -\ 3$$

ii. $$y\ -\ 3\ =\ -\frac{1}{2}\left(x\ +\ 7\right)$$

iii. $$y\ -\ 1\ =\ 2\left(x\ +\ 3\right)$$

iv. $$y\ =\ 2x$$

Accepted Answer

i, iii, and iv

Answer

None of them

Answer

i, ii, and iv

Answer

i and ii

Question 32

Which two lines have the same y-intercept?

i. y = 2x - 4

ii. y = 2x + 5

iii. y = 2x + 9

iv. y = 7x + 5

Accepted Answer

ii and iv

Answer

i and iv

Answer

ii and iii

Answer

i and iii

Question 33

What would make a n equation non linear?

Accepted Answer

an x under a square root sign

Answer

A positive slope

Answer

a negative slope

Answer

a y-intercept at the origin.

Question 34

Which of these represents standard form of a linear equation?

Accepted Answer

Ax + By = C

Answer

y - y₁ = m(x - x₁)

Answer

y = mx + b

Question 35

Slope is also known as

Accepted Answer

All of these

Answer

rise/run

Answer

rate of change

Answer

the "steepness" of the line

Question 36

Run is the change in which variable?

Accepted Answer

x

Answer

y

Question 37

Rise is the change in which variable?

Accepted Answer

y

Answer

x

Question 38

If the y values are going down by three and the x values are going up by 7, what is the slope?

Accepted Answer

$$-\frac{3}{7}$$

Answer

$$\frac{7}{3}$$

Answer

$$-\frac{7}{3}$$

Answer

$$\frac{3}{7}$$

Question 39

What is the y-intercept for the linear data in the table?

Accepted Answer

3

Answer

11

Answer

19

Answer

27

Question 40

Find the slope of:
(1,8) and (3,12)

Accepted Answer

2

Answer

1/2

Answer

9/7

Answer

-2

Question 41

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

Accepted Answer

4

Answer

3

Answer

4x

Answer

x

Question 42

Describe the slope in the picture?

Accepted Answer

Negative

Answer

Positive

Answer

Zero

Answer

Undefined

Question 43

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

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 44

Graph y = -3

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 45

Find the slope from the table.

Accepted Answer

4

Answer

-4

Answer

1

Answer

-2

Question 46

Evaluate f(-2) if f(x) = x+3

Accepted Answer

1

Answer

-1

Answer

5

Answer

-5

Question 47

Which ordered pair if added to this table would make it no longer be a function?

Accepted Answer

(-2, 0)

Answer

(10, 10)

Answer

(2, 4)

Answer

(6, 1)

Question 48

Which show a linear function? Select 2.

Accepted Answer

Option B is correct

Accepted Answer

Option D is correct

Answer

A.

Answer

C.

Question 49

Which function is linear?

Accepted Answer

y = 2x + 3

Answer

$$f\left(x\right)\ =\ \sqrt[2]{2x}$$

Answer

$$y\ =\ 3x^2$$

Answer

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

Question 50

Select the linear equation.

Accepted Answer

Option B is correct

Answer

A.

Linear Functions Test

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