Free Printable Algebra: Unit 3 Review

1.

Megan is in a pet store where they sell dog toys and cat toys. The dog toys are $6 each, and the cat toys are $3. Let x represent the number of dog toys she can purchase and let y represent the number of cat toys she can purchase if she has $30 to spend in the store.

Reorder the following in standard form

a)

8

b)

x +

c)

6

d)

y =

e)

20

1)

2)

3)

4)

5)

2.

Find the slope

( 2, 7) and (-3, 8)

a)

5

b)

-5

c)

1/5

d)

-1/5

3.

Find the slope

( -4, -1) and (-8, -13)

a)

3

b)

-3

c)

1/3

d)

-1/3

4.

Given the graph of g passes through the point (-5,1) and has a slope of -2.

Which form of linear equation would best fit information provided?

a)

Standard form

b)

slope-intercept form

c)

point-slope form

5.

Jackie is at an anime expo where they sell figurines and posters. The figurines are $15 each, and the posters are $5. Let x represent the number of figurines she can purchase and let y represent the number of posters she can purchase. She has $90 to spend in the store.

Reorder the following in standard form

a)

15

b)

x +

c)

5

d)

y =

e)

90

1)

2)

3)

4)

5)

6.

Sean tutors math students to earn extra money. After 4 hours of tutoring, he has $90 in his wallet. After 11 hours of tutoring, he has $230 in his pocket. Which equation represents the situation?

a)

y=22.50x

b)

y=20x

c)

y=20x+10

d)

y=22.50x+10

7.

Sean tutors math students to earn extra money. After 4 hours of tutoring, he has $90 in his wallet. After 11 hours of tutoring, he has $230 in his pocket. What does the y-intercept represent in the situation?

a)

The total amount of money earned

b)

The total number of hours worked

c)

The total amount of money Sean started with

d)

The total amount of money Sean ended with

8.

Which equation represents the function graphed

a)

y=-4x

b)

x=-4

c)

y=-4

9.

Given the equation 2x+y=7, determine which points are solutions to the equation

a)

(-1,9)

b)

( 3.5 , 0 )

c)

(12, -21)

d)

(1, 4)

10.

Given the equation y=3x-2, determine which points are solutions to the equation

a)

(-5,-17)

b)

( 1/3 , -1 )

c)

(2, 3)

d)

(1, 4)

11.

Find the x intercept for the equation

3x-4y=48

Write your answer as an ordered pair with no spaces.

(a)

12.

Find the y intercept for the equation

3x-4y=48

Write your answer as an ordered pair with no spaces.

(a)

13.

Find the y intercept for the equation

x+4y=8

Write your answer as an ordered pair with no spaces.

(a)

14.

Find the x intercept for the equation

x+4y=8

Write your answer as an ordered pair with no spaces.

(a)

15.

Write the x intercept as an ordered pair with no spaces.

(a)

16.

Write the y intercept as an ordered pair with no spaces.

(a)

17.

Find the slope. Type your answer as a fraction in simplest form.

(a)

18.

Write the y intercept as an ordered pair with no spaces.

(a)

19.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

20.

What is the slope?

a)

1

b)

2

c)

3

d)

undefined

21.

What is the y-intercept?

a)

3

b)

-1

c)

6

d)

0

22.

What is the y-intercept?

a)

1

b)

-2

c)

3

d)

undefined

23.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

x-value

24.

What does 'b" represent in y=mx=b

a)

y-intercept

b)

x-value

c)

slope

25.

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

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

26.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

27.

What does the y-intercept represent in the context of the graph?

a)

Initial amount of time

b)

The laptop costs $1200 when it was purchased

c)

1200

28.

What does the slope represent in the context of the graph?

a)

each year, the laptop depreciates by $220

b)

$220

c)

-$220

29.

Andre ran a 100 meter race in 12 seconds. What was his average speed as he ran the race?

a)

8.3 meters per second

b)

.12 meters per second

30.

Which relations are functions?

a)

b)

c)

d)

31.

Which relations are functions?

a)

$y=2x$

b)

$3x+y^2=1$

c)

$\frac{y}{x}=4$

d)

$6x+4y=12$

32.

Given f(x)=3x+2

f(-2)= (a)

33.

Given $f\left(x\right)=x^2+4$

f(-2)= (a)

34.

Given $f\left(x\right)=x^2+4$

f(1)= (a)

35.

Write the equation in slope intercept form.

2x+4y=-12

a)

$4y=-2x-12$

b)

$y=\frac{1}{2}x-12$

c)

$y=-\frac{1}{2}x-12$

d)

$y=-\frac{1}{2}x+12$

36.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

37.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

38.

What is the range in inequality notation?

a)

-2 ≤ x ≤ 2

b)

4 ≥ y ≥ -4

39.

What is the domain of the linear function?

a)

-2 ≤ x ≤ 2

b)

4 ≥ y ≥ -4

40.

What is the domain?

a)

{0, 1, 2, 15}

b)

(0, 1, 2, 3}

c)

{3, 7, 11, 15}

d)

{3, 7, 11, 3}

41.

What is the range?

a)

{0, 1, 2, 15}

b)

(0, 1, 2, 3}

c)

{3, 7, 11, 15}

d)

{3, 7, 11, 3}

42.

What is the minimum?

a)

-2

b)

2

c)

-4

d)

4

43.

What is the maximum of the linear function?

a)

-2

b)

2

c)

-4

d)

4

44.

Is the function increasing or decreasing?

As the temperature rises, the number of people attending the water park increases

a)

increasing

b)

decreasing

45.

Is the function increasing or decreasing?

As the temperature goes down, the number of people at the dog park declines

a)

increasing

b)

decreasing

46.

Is the function increasing or decreasing?

As the number of miles driven increases, the amount of gas in the tank drops

a)

increasing

b)

decreasing

47.

A photo booth company has a special deal on the available rentals. Let C be the cost in dollars of the photo booth as a function of the number of pictures, p, taken. The daily fee for renting the photo booth costs $30 and each photo taken costs $0.10.

What does C(40) represent?

a)

34

b)

34 dollars for renting the photo booth and taking 40 pictures

c)

the cost of each photo

d)

the cost of renting the booth

48.

A photo booth company has a special deal on the available rentals. Let C be the cost in dollars of the photo booth as a function of the number of pictures, p, taken. The daily fee for renting the photo booth costs $30 and each photo taken costs $0.10.

Is the function C increasing or decreasing?

a)

increasing

b)

decreasing

49.

A photo booth company has a special deal on the available rentals. Let C be the cost in dollars of the photo booth as a function of the number of pictures, p, taken. The daily fee for renting the photo booth costs $30 and each photo taken costs $0.10.

Write a rule for C(p)

a)

C(p)=0.1x+30

b)

C(p)=30x+0.1

c)

y=10x+30

50.

A photo booth company has a special deal on the available rentals. Let C be the cost in dollars of the photo booth as a function of the number of pictures, p, taken. The daily fee for renting the photo booth costs $30 and each photo taken costs $0.10.

determine the y-intercept.

(a)

51.

Write the equation in point slope form. Do not include any spaces

(3,8) m=2

(a)

52.

Write an equation in point-slope form. Do not include any spaces.

m=12 (9,5)

a)

y-5=12(x-9)

b)

y=12x-103

c)

y-9=12(x-5)

53.

Reorder the following from greatest slope to smallest slope

a)

b)

c)

$\left\{\left(0,2\right),\left(2,10\right),\ \left(4,18\right),\ \left(6,26\right)\right\}$

d)

$f\left(x\right)=x-3$

1)

2)

3)

4)

54.

Reorder the following from greatest initial value to smallest initial value

a)

b)

$f\left(x\right)=x-3$

c)

$\left\{\left(0,2\right),\left(2,10\right),\ \left(4,18\right),\ \left(6,26\right)\right\}$

d)

$\left\{\left(0,3\right),\left(2,11\right),\ \left(4,19\right),\ \left(6,27\right)\right\}$

1)

2)

3)

4)

55.

Find the slope.

4x+2y=12

a)

4

b)

-4

c)

2

d)

-2

Algebra: Unit 3 Review

Total questions: 55

Worksheet time: 58mins

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