Free Printable Alg 1 Chapter 3 Review

1.

Which sequence(s) represent an arithmetic sequence?

a)

a and e

b)

a, b, and e

c)

b, c, and d

d)

b

2.

What is the common difference?

84,100,116,132,148

a)

−16

b)

84

c)

16

d)

0

3.

Find a₆for this situation.

60,80,100,120,140

a)

60

b)

160

c)

280

d)

150

4.

The rule for arithmetic sequence is a_n = d(n − 1)+a₁, what does the d represent.

a)

common denominator

b)

common difference

c)

common divider

d)

uncommon difference

5.

Identify the common difference.
97, 86, 75, 64, ...

a)

8

b)

11

c)

-11

d)

-8

6.

Is the sequence arithmetic: 37, 31, 25, 19, ...

a)

Yes

b)

No

7.

Find the 22nd term of the following sequence:
5, 8, 11, ...

a)

14

b)

68

c)

63

d)

71

8.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

9.

Is this set of ordered pairs a function or not a function?

a)

Function

b)

Not a Function

10.

Is this mapping diagram a function or not a function?

a)

Function

b)

Not a Function

11.

Is this graph pictured a function?

a)

Yes

b)

No

12.

Is this table a function or not a function?

a)

Function

b)

Not a Function

13.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

14.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

15.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

16.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

17.

Is this graph pictured a function?

a)

Yes

b)

No

18.

What is the range of the graph?

a)

-3 ≤ y ≤ 3

b)

-2 ≤ y ≤ 3

c)

-3 ≤ y ≤ 4

d)

-3 ≤ y ≤ 4

e)

All real numbers

19.

What is the domain?

a)

-3 < y ≤ 3

b)

-4 ≤ y ≤ 5

c)

-4 ≤ x ≤ 5

d)

-3 < x ≤ 3

20.

Write the equation.

a)

f(x) = -5x + 1

b)

f(x) = x + 5

c)

f(x) = -2x

d)

f(x) = -5x + 6

21.

What is the equation for this table?

a)

y = -2x + 5

b)

y = 2x + 5

c)

y = 5x - 2

d)

y = 5x + 5

22.

What is the table that matches the equation?

y=5x + 5

a)

b)

c)

23.

Which table matches the equation?

y= 3/2x + 1

a)

b)

c)

d)

24.

Which table matches the equation?

y= -1/3x + 4

a)

b)

c)

d)

25.

Match the table to the correct graph.

a)

b)

c)

26.

Match the graph to the correct table.

a)

b)

c)

27.

Match the graph to the correct table.

a)

b)

c)

28.

Choose the best explanation to represent the data in the graph.

a)

Taylor can write 6 words per minute

b)

Taylor can write 25 words per minute

c)

Taylor can write 50 words per minute

d)

Taylor can write 150 words per minute

29.

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

a)

-1

b)

1

c)

5

d)

-5

30.

For the function f(x) = -3(x-1) find f(0).

a)

0

b)

-3

c)

3

d)

-1

31.

Given f(x) =
2x² + 5x - 17, find f(-1).

a)

f(-1) = -20

b)

f(-1) = -24

32.

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

33.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

34.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

35.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

36.

If a question asks you to find f(2), what does that mean?

a)

Let x = 2

b)

Let y = 2

37.

If f(x) = 2x + 1, what would be your first step to find f(1)?

a)

Plug a 1 in for all the x's

b)

Set the function equal to 1

c)

Only plug a 1 into the left side

d)

Only plug a 1 into the right side

38.

If I know that f(2) = 4, what is another way I can write my answer?

a)

2,4

b)

(2, 4)

c)

That is the only way to write it.

39.

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

a)

-1

b)

1

c)

5

d)

-5

40.

g(x) = 3x + 1
g(10) = ______

a)

14

b)

31

c)

15

d)

-31

41.

Let

h\left(x\right)=13-5x

What is

h\left(5\right)=

?

a)

$h\left(5\right)=12$

b)

$h\left(5\right)=3$

c)

$h\left(5\right)=-2$

d)

$h\left(5\right)=-12$

42.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

43.

Let w(x) = 3x - 7. If w(x) = 14, find x.

a)

7

b)

35

c)

2.33333

d)

-49

44.

If f(x) = x - 5, what is the value of x when f(x) = 15?

a)

20

b)

10

c)

5

d)

0

45.

Find f(10) if f(x)= 10x - 100.

a)

f(10) = 200

b)

f(10) = 0

c)

f(10) = -100

d)

f(10) = -99

46.

Find the zero of the following function.

f\left(x\right)\ =\ x^{3\ }-x

a)

0, -1, 1

b)

0, -1, -1

c)

-1, 1

d)

-1, -1

47.

Find the zero of the following function.

f\left(x\right)\ =\ x^2\ -9x\ +\ 20

a)

4, 5

b)

-4, 5

c)

4, -5

d)

-4, -5

48.

Find the zero of the following function.

f\left(x\right)\ =\ x^2\ -9x\ +\ 20

a)

4, 5

b)

-4, 5

c)

4, -5

d)

-4, -5

49.

For the equation y = 2x - 6, what is the zero for this functional relationship?

a)

3

b)

-3

c)

2

d)

-6

50.

For the g(x) = 5x + 10, what is the zero of the function?

a)

5

b)

10

c)

2

d)

-2

e)

-10

51.

What is the zero(s) for the graph shown?

a)

-2

b)

-2 and 4

c)

4

d)

2

52.

John filled up his gas tank with 20 gallons of gas. For each mile that he drives, he uses .07 gallons of gas. Which formula represents the number of gallons of gas he has left after driving n miles

a)

a_{n=.07(n-1)+20}

b)

a_{n=.07(n-1)+19.93}

c)

a_{n=.07(n-1)+20}

d)

a_{n=.-07(n-1)+19.93}

53.

John filled up his gas tank with 20 gallons of gas. For each mile that he drives, he uses .07 gallons of gas. How many gallons of gas are left in the tank after driving 120 miles?

a)

11.6

b)

28.26

c)

11.67

d)

28.33

54.

Which function results in f(2)=13

a)

f(x)=x²+8

b)

f(x)=3x²+1

c)

f(x)=2x³+5

d)

f(x)=x²+x

Alg 1 Chapter 3 Review

Total questions: 54

Worksheet time: 4hrs 39mins

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