Free Printable AQT Chapter 4

1.

Are these two lines parallel, perpendicular or neither?

y = -1/4 x - 5

y = 4x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

2.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

(a)

3.

Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

(a)

4.

Write equation of a line in point slope form that passes through (3,8) and has a slope of 5?

a)

y-8=5(x-3)

b)

y=5x+8

c)

y-3=5(x-8)

d)

y-y₁₌ m(x-x₁₎

5.

Write an equation in point slope form of equation of line

point (7,10) and has a slope of -2?

a)

y-10 = -2(x+7)

b)

y-10 = -2(x-7)

c)

y+10 = -2(x+10)

d)

y -10 = -2x+2

6.

Write the equation of the line.

a)

y=3/5x+1

b)

y=3/5x-1

c)

y=5/3x+1

d)

y=3/5x+1

7.

Which equation matches the graph? (Click me to see the image)

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

8.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

9.

Write the equation of the line.

a)

y=(3/5)x+1

b)

y=(3/5)x-1

c)

y=(5/3)x+1

d)

y=(3/5)x+1

10.

Write in slope-intercept form

(0,-2) and (7,0)

a)

y=2/7x +2

b)

y=2/7x +12

c)

y=2/7x -12

d)

y=2/7x -2

11.

Find the slope for the linear function shown in the table.

a)

-3/4

b)

⁴/3

c)

^-4/3

d)

3/4

12.

Which is the graph of the equation ?

y=\frac{1}{3}x\ -\ 2

a)

b)

c)

d)

13.

Which is the graph of the equation x = 3?

a)

b)

c)

d)

14.

Which is the graph of the equation ?

y\ =\ -2x\ +\ 1

a)

b)

c)

d)

15.

Which is the graph of the equation ?

y\ =\ -x\ +\ 2

a)

A

b)

B

c)

C

d)

D

16.

Which is the graph of the equation shown? (be sure to put in slope-intercept form first)

a)

b)

c)

d)

17.

Which is the graph of the equation shown? (be sure to put in slope-intercept form first)

a)

b)

c)

d)

18.

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

19.

According to the graph how far does the person travel in the first 5 seconds? (Note: displacement is the same as position here.)

a)

2 m

b)

10 m

c)

0 m

d)

5 m

20.

$x=4$ is what type of a line?

a)

Neither Horizontal line or Vertical line

b)

Horizontal Line

c)

Vertical Line

21.

$y=5$ is what type of a line?

a)

Horizontal line

b)

Vertical line

c)

Neither Horiszontal or vertical

22.

Choose ALL the lines PARALLEL to the following line:
$y\ =\ \frac{2}{9}x\ -7$

a)

$y\ =\ \frac{2}{9}x\ +\ 8$

b)

$y\ =\ \frac{9}{2}x\ -12$

c)

$-2y\ =\ 9x\ +\ 8$

d)

$9y\ =\ 2x\ -18$

23.

Which equation is for the graph of a line passing through (-4, 5) and is Parallel to the line $y\ =\ -\frac{1}{2}x\ +\ \frac{5}{2}$ ?

a)

$y\ =\ \frac{1}{2}x\ -\frac{5}{2}$

b)

1x + 2y = 6

c)

y = 2x + 5

d)

y = -4x + 5

24.

Which of the following lines is PARALLEL to the graph of $y=6x-3$ ?

a)

$y=-6x+5$

b)

$y=-\frac{1}{6}x-3$

c)

$y=6x+1$

d)

$y=\frac{1}{6}x-3$

25.

Write an equation parallel to y = 2x + 4 that goes through (5, -3).

a)

y = 2x - 10

b)

y = 2x + 5

c)

y = 2x - 13

d)

y = -2x + 4

26.

Slopes of perpendicular lines are...

a)

opposite (sign) reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

27.

What is the equation of a line that is perpendicular to the line
y = 3x - 6 and passes through the point (15,5).

a)

y = -3x + 10

b)

y= 1/3x +10

c)

y = -1/3x +10

d)

y = 3x -15

28.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

29.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

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

b)

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

c)

$y=-2x+7$

d)

$y=-2x+8$

30.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

31.

The inverse of the function f(x) is written as ...

a)

f ^-1(x)

b)

f ²(x)

c)

f '(x)

d)

f ⁺(x)

32.

What does an inverse function do?

a)

Nothing

b)

Makes it bigger

c)

"Undoes" all the operations of original function in reverse order

d)

Takes half of everything

33.

Which of the following is NOT TRUE about inverse functions?

a)

Inverse functions are reflections of each other over the line y = x.

b)

You find the inverse by switching x and y in the equation.

c)

The domain of a function always becomes the domain of its inverse.

d)

The domain of a function always becomes the range of its inverse.

34.

What's the name of the inverse of g(x)?

a)

f(x)

b)

f^-1(x)

c)

y

d)

g^-1(x)

35.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

(1, 2) (3, 8) (-3, 6)

b)

(1, 2) (8, 3) (-3, 6)

c)

(-1, -2) (-3, -8) (3, -6)

d)

(2, 1) (8, 3) (6, -3)

36.

Find the inverse of
f(x) = 1/4x - 7

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

37.

Are the following inverses of each other?

a)

True

b)

False

38.

When finding the inverse of a relation,
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

a)

solve for y

b)

replace y with f^-1(x)

c)

solve for x

d)

find the greatest common factor

39.

Are these the graphs of two inverse functions?

a)

Yes

b)

No

c)

No way to tell

40.

a)

f^-1(x) = 4x + 7

b)

f^-1(x) = -4x + 28

c)

f^-1(x) = -4x - 7

d)

f^-1(x) = 4x + 28

AQT Chapter 4

Total questions: 40

Worksheet time: 2hrs 0mins

Similar Resources on Wayground