Free Printable Unit 8 & 9 Function REVIEW!

1.

What is the standard form for a line?

a)

$Ax+By=C$

b)

$y-y_1=m\cdot\left(x-x_1\right)$

c)

$x=my+b$

d)

$y=mx+b$

2.

Lisa and Tammy are selling items at the craft show. Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

a)

(1, 12)

b)

(3, 19)

c)

(5, 25)

d)

(0, 10)

3.

What is the equation of this line?

a)

0

b)

undefined

c)

y = -2

d)

x = -2

4.

What is the equation of this line?

a)

y= 3/2x+2

b)

y=3/2x-3

c)

y=2/3 x+2

d)

y=2/3x-3

5.

Find the slope of the line that passes through the given two points.

(-6,2) and (-5,-2)

a)

m=4

b)

m=-4

c)

m=1/4

d)

m=-1/4

6.

On your paper, rewrite the equation in slope-intercept form, then select the correct graph for the line.

$x-4y=-24$

a)

b)

c)

d)

7.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

8.

On your paper, rewrite the equation in slope-intercept form, then select the correct graph for the line.

$x-y=-3$

a)

b)

c)

d)

9.

Which of the equations below would have a line that passes through both (1, 7) and (0, −9)?

a)

y = 1/2x − 9

b)

y = 16x − 9

c)

y = -1/2x − 9

d)

y = =16x − 9

10.

Which equation represents the line that passes through the point (-3, -4) and has a slope of 0?

a)

y = 3x - 4

b)

y = -3

c)

y = -4

d)

x = -3

11.

Which line represents an equation whose slope is 0?

a)

A

b)

B

c)

C

d)

D

12.

A linear function f contains the points (2, 7) and (-8, 7). A new function g is found by decreasing the y-intercept by 4. Which equation defines function g?

a)

x = 4

b)

y = x - 4

c)

y = 3

d)

y = 7/5x+3

13.

Write the equation of the horizontal line that contains the point (-3, 5).

a)

x = -3

b)

y = 5x

c)

y = 5

d)

y = -3x + 5

14.

Write the equation of the vertical line that contains the point (-3, 5).

a)

x = -3

b)

y = 5x

c)

y = 5

d)

y = -3x + 5

15.

Write the equation below in standard form
y = 2/3 x +5

a)

-2/3x+y=5

b)

-4x+6y=15

c)

2x-3y=-15

d)

-2x+3y=15

16.

Give the y-interecept
3x + y = 5

a)

(-3, 0)

b)

(0,5)

c)

(-5, 0)

d)

(0, -3)

17.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

18.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

19.

Which line has an equation of y=-4x-2?

a)

A

b)

B

c)

C

d)

D

20.

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

a)

y - y₁ = m(x - x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

21.

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

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

22.

Which of these represents standard form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

d)

y=kx

23.

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

a)

y - 3 = 1(x - 2)

b)

y + 3 = 1(x + 2)

c)

y -3 = -1(x + 2)

d)

y + 3 = -1(x - 2)

24.

Write the equation in point-slope form for the line that contains the points
(3, -5) and (5, - 1)

a)

y - 5 = 2(x + 3)

b)

y + 5 = 2(x - 3)

c)

y - 3 = 2(x + 5)

d)

y + 3 = 2(x - 5)

25.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

26.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

27.

Which of the following lines is NOT parallel to the graph of line 6x - 8y = 5?

a)

9x - 12y = 11

b)

3x = 7 + 4y

c)

-6x + 8y = 3

d)

16y = 13 + 6x

28.

Which of the following equations represents the line passing through point A and PERPENDICULAR to the given line?

a)

-2x + 3y = 10

b)

2x + y = 6

c)

3x + 2y = -4

d)

-3x - 2y = 2

29.

The total cost of renting a car is $22 per day, plus an initial fee of $55. Which equation best describes this relationship?

a)

c = 55d - 22

b)

c = 55 + 22d

c)

c = 22d - 55

d)

c = 22d + 100

30.

Which equation describes a line that is perpendicular to the line y = -2/7x + 4/7 and contains the point (-6, 5)?

a)

y = 7/2x + 26

b)

y = 7/2x - 16

c)

y = 7/2x - 26

d)

y = 7/2x + 16

31.

What slope is perpendicular to:

m = 3

a)

-3

b)

-1/3

c)

1/3

d)

3

32.

y = -2/3x + 2

y = 3/2x + 9

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

33.

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

34.

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

a)

4x + 7y = 578

x + y = 3365

b)

4x + 7y = 3365

x + y = 578

c)

4y + 7x = 578

x + y = 3365

d)

4y - 7x = 3365

x + y = 578

35.

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. Write a linear system to model this situation.

a)

t + m = 2.10

3t + 2m = 5.15

b)

t + m = 2.10

2t + 3m = 5.15

c)

3t + 2m = 2.10

t + m = 5.15

d)

2t + 3m = 2.10

t + m = 5.15

36.

A hotel has 130 rooms, some singles and some doubles. The singles cost $45 a night and the doubles are $75 a night. Last Friday night all of the rooms were occupied and the total revenue for the night was $8100. How many of each type of room is there?

How should you answer this question?

a)

$55 for a single room

$75 for a double room

b)

75 single rooms and 55 double rooms

c)

55 single rooms

75 double rooms

d)

$75 for a single room

$55 for a double room

37.

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

a)

3x² +5

b)

x² +1

c)

3x² +1

d)

3x² +6

38.

If f(x) = 5x and g(x) = 2x-1,

what is the composition f(g(x)) ?

a)

10x-1

b)

10x-5

c)

5x²-1

d)

5x²-5

39.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

40.

Evaluate f(x)=-2x+13 for f(10)

a)

-7

b)

1

c)

-8

d)

7

41.

If $f(x)=4x+1$ and $g(x)=4x-3$

Find $f(x)*g(x)$

a)

$16x^2+8x-3$

b)

$16x^2-8x+3$

c)

$16x^2-8x-3$

d)

$16x^2-16x-3$

42.

If $f(n)=x^2+1$ and $g(n)=2x-5$ Find $f(n)-g(n)$

a)

$x^2-2x+6$

b)

$-x^2+2x+4$

c)

$-x^2-2x-6$

d)

$x^2-2x-4$

43.

If $f(x)=3x^2+7x$ and $g(x)=2x^2-x-1$ ,

find $(f+g)(x)$ .

a)

$11x^2-1$

b)

$5x^4+6x^2-1$

c)

$5x^2+6x-1$

d)

$5x^2+8x-1$

44.

Evaluate f(t)=-2t²+ 1 for f(-3)

a)

19

b)

37

c)

-17

d)

-11

45.

Find the inverse of f(x) = -4x - 12

a)

f^-1(x) = 4x - 3

b)

f^-1(x) = -1/4x - 3

c)

f^-1(x) = 1/4x + 3

d)

f^-1(x) = -4x - 3

46.

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

a)

True

b)

False

47.

Find the inverse of the function
f(x) = 3x − 5

a)

f^-1(x)=3x +5

b)

f^-1(x)=(x+5)/3

c)

f^-1(x)=3y-5

d)

f^-1(x)=3y+5

48.

a)

Inverse Functions

b)

Not Inverse Functions

49.

The inverse has been reflected over which line?

a)

y = x

b)

y =1

c)

y = 0

d)

y = x + 1

50.

a)

b)

c)

d)

51.

Are these inverse functions?

a)

no

b)

yes

c)

no way to tell

52.

Find the inverse function

a)

b)

c)

d)

53.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

a)

2

b)

1/2

c)

-2

d)

-1/2

54.

$f\left(x\right)=-2x^2+2x-2;\left[-1,1\right]$

Find the average rate of change of the function over the given interval.

(a)

55.

Continue using $f\left(x\right)=x^2+7x-2$ . Write an expression for the average rate of change over the interval $-1\le x\le-1+h$ .

a)

h + 5

b)

h - 5

c)

h - 1

d)

h + 1

56.

$\lim_{h\rightarrow0}\ \frac{g\left(3+h\right)-g\left(3\right)}{h}$ where $g\left(x\right)=\frac{x}{6}$

a)

$\frac{2}{3}$

b)

6

c)

$\frac{1}{6}$

d)

$\frac{1}{2}$

57.

What is the range of the function?

a)

[-1, +∞)

b)

(-1,1)

c)

[1.5, +∞)

d)

(-2, 2)

58.

Which of the following does this graph not show?

a)

absolute max

b)

absolute min

c)

relative max

d)

relative min

59.

What is the domain of the graph?

a)

[ -∞, ∞]

b)

(-∞,∞)

c)

[-3 , 3]

d)

[-15, 9]

60.

What is the domain?

a)

x = 2

b)

−∞ < x < ∞

c)

y = 2

d)

none of these

61.

What is the domain of the following function: ƒ(x)=√(x-10)

a)

(-∞,∞)

b)

[10,∞)

c)

[0,∞)

d)

[0,10]

62.

Describe the transformation that occurred.

h(x) = f(x) + 2

a)

up 2 units

b)

left 2 units

c)

Vertical Stretch

d)

right 2 units

63.

Describe the transformation that occurred

p(x) = f(x + 3)

a)

Right 3 units

b)

Vertical Stretch

c)

Up 3 units

d)

Left 3 units

64.

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

a)

Left 3 up 5

b)

Right 3 down 5

c)

Left 3 down 5

d)

Right 3 up 5

65.

Q.

Name the parent function.

a)

Linear

b)

quadratic

c)

cubic

d)

logarithmic

66.

Identify the transformations:

a)

Stretch of 3; right 3; up 3

b)

right 3; up 3

c)

left 3; down 3

d)

right 3; down 3

67.

Identify the transformations to this absolute value function:

a)

x-axis reflection; up 4

b)

up 4

c)

x-axis reflection; down 4

d)

stretch of -2; up 4

68.

Identify the transformations:

a)

x-axis reflection; shrink of 0.2; right 1.5; up 1

b)

shrink of -0.2; right 1.5; up 1

c)

shrink of -0.2; left 1.5; down 1

d)

x-axis reflection; shrink of -0.2; right 1.5; up 1

Unit 8 & 9 Function REVIEW!

Total questions: 68

Worksheet time: 5hrs 45mins

Similar Resources on Wayground