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12/11/23 Final Exam Review #3 ANW

Total questions: 76

Worksheet time: 3hrs 57mins

Name
Class
Date
1.

Given y = 2x + 1, find the value of y when x = 5

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2.

Given f(x) = x2 + 3x + 1, find f(-4).

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3.

f(x) is the same thing as ______.

a)

y

b)

x

c)

input

d)

an equation

4.

f(2)=?f\left(2\right)=?  

a)

-2

b)

-6

c)

-38

d)

58

5.

f(x)=6f\left(x\right)=-6  

a)

-2

b)

-6

c)

2

d)

4

6.

f(1.5)=?f\left(1.5\right)=?  

a)

0

b)

2

c)

6

d)

-1

7.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

c)

a special type of function

d)

a function with more than 1 output for every input

e)

Same as an output

8.

7x+8=297x+8=29

The first step to solve this equation is to ​ (a)   . The next step is to ​ (b)   . The answer is ​ (c)   .

Choose from the below words

subtract 8

divide 7

x=3

add 8

multiply 7

subtract 7

x=2

x=5.2

x=7

divide 8

9.

y=2x10y=2x-10

Identify the following about the equation above.

slope (m):​ ​ ​ (a)  

y-intercept: ​ (b)  

Choose from the below words

2

-10

10

2x

y

10.

y=23x3y=\frac{2}{3}x-3

Identify the following about the equation above.

slope (m):​ ​ ​ (a)  

y-intercept: ​​ (b)  

Choose from the below words

2/3

-3

2x

2/3x

y

3

11.

What is the x-intercept of the line graphed below?

a)

(-3, 0)

b)

(0, 4)

c)

(0, -3)

d)

(4, 0)

12.

Find the y-intercept (b) of the line.

(a)  

13.

What is the domain of the graph?

a)

numbers between and including 1 and 4

b)

numbers between and including 1 and 5

c)

All positive numbers

d)

All positive numbers greater than 1

14.

What is the range of the graph?

a)

numbers between and including 1 and 4

b)

numbers between and including 1 and 5

c)

All positive numbers

d)

All positive numbers greater than 1

15.

Which mapping diagram is not a function?

a)
b)
c)
d)
16.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

c)

HINT: for a graph to be a function, coordinates can not share x values meaning you can not have 2 points on top of each other. use the vertical line test.

17.

Domain represents the X-VALUES of the graph.

OPEN DOT means it DOES NOT have an equal sign under the inequality.

CLOSED DOT means it DOES have an equal sign under the inequality.

a)

A

b)

B

c)

C

d)

D

18.

What value of n makes the equation 4(0.5n - 3) = n - 0.25(12 - 8n) true?

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19.

The graph models a linear function. The rate of change of the graph is ​ (a)   dollars per hour.

Choose from the below words

50

100

0

1/50

20.

What is the solution to 15x+8=3(5x4)10x15x+8=3\left(5x-4\right)-10x ?

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21.

Which value of b makes the equation 32(b1)=4b253-2\left(b-1\right)=4b-25  true ?

a)

55  

b)

88  

c)

3-3  

d)

6-6  

22.

The table shows a linear relationship between x and y. What is the rate of change of y with respect to x?

rate of change = slope = m

Choose two points, then use formula to find "rate of change" or slope.

a)

34\frac{3}{4}  

b)

6-6  

c)

88  

d)

43-\frac{4}{3}  

23.

What is the rate of change?

a)

$39 per game

b)

$78 per game

c)

$41 per game

d)

$124 per game

24.

Given:

y=mx+by=mx+b  

Match the variable in the linear equation with the correct meaning:

a)

y

1.

y-coordinate

b)

m

2.

slope

c)

x

3.

x-coordinate

d)

b

4.

y-intercept

25.

Match the following

a)

y=-3x-2

1.

slope -3 y int -2

b)

y=-1/3x+2

2.

slope -1/3 y int 2

c)

y=-2x-3

3.

slope -2 y int -3

d)

y=2x+3

4.

slope -2 y int +3

26.

-3 − 6(4x + 6) > -111

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27.

What is the correct first step?

a)

divide by 10

b)

multiply by 10

c)

make it two inequalities with an "or"

d)

make it two inequalities with and "and

28.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

29.

Identify the INDEPENDENT VARIABLE

a)

Years of Education

b)

Average Salary

30.

Identify the DEPENDENT VARIABLE

a)

Yards of Fabric

b)

Shirts Made

31.

My first step is to use the slope formula m= y2 y1x2x1m=\ \frac{y_{2\ }-y_1}{x_2-x_1} to find the rate of cost per policy

How would I set that up?

a)

53920760 policydollar\frac{5-3}{920-760}\ \frac{policy}{dollar}

b)

92057603 policydollar\frac{920-5}{760-3}\ \frac{policy}{dollar}

c)

92076053 dollarpolicy\frac{920-760}{5-3}\ \frac{dollar}{policy}

d)

None of these

32.

Solve the equation

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33.

Solve the equation

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34.

Look at the expression: 2x + 1.
What operation is being done to x FIRST?
(Follow GEMDAS-read from left to right)

a)

Times 2

b)

Add 1

35.

Look at the expression:
 -5 + x/2 - 1.
What operation is being done to x FIRST?
(Follow PEMDAS)

a)

-5

b)

-1

c)

/2

d)

+5

36.

2x + 1 = 6
When solving, first UNDO add/sub. What would the first step be in solving this equation?

a)

Divide by 2

b)

Subtract 1

c)

Subtract 6

d)

Times 2

37.

Look at the work. What was done incorrectly?

a)

Don't divide by 2 first

b)

Don't add 7 to both sides

c)

It's correct!

d)

They should have subtracted 7

38.

-5h + 2 ≥ -8

a)

h≤2

b)

h>4

c)

h≤3

d)

h≥2

39.

Solve the following inequality:

8(4n3)280-8\left(-4n-3\right)\ge280  

a)

n2n\ge-2  

b)

n2n\le-2  

c)

n7n\ge-7  

d)

n8n\ge8  

40.

Do I need to flip my sign?
2x -3y  ≥ 12

a)

Yes

b)

No

41.

How can I tell if the graph of an inequality will have a solid line?

a)

It has just an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

42.

5(a + 6)

a)

5a + 6

b)

a + 30

c)

5a + 30

d)

5a - 30

43.

When an equation has parentheses, which operation should we use to simplify and get rid of the parentheses?

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

44.
6(x + 1) - 5(x + 2)
a)
2x + 8
b)
x - 4
45.

Which of the following are basic rules used for solving algebraic equations? (SELECT ALL THAT APPLY)

a)

Whatever you do to one side of the equal sign, you must copy and do on the other side of the equal sign

b)

Negative signs can be ignored

c)

Always start on the left side, regardless of where the variable is

d)

Always do the opposite operation

46.

Which of the following equations require you to use the Distributive Property first? Select all that apply.

a)

6x - 8 = 7(x + 2)

b)

7n - 5 = 3

c)

2(a - 9) = 9a + 1

d)

4 - 9y+ 8 +2y

47.

What is the first step to solving this equation?

20  3(y  6) +10 = 5420\ -\ 3\left(y\ -\ 6\right)\ +10\ =\ 54  

a)

Subtract 3 from 20.

b)

Subtract 10 from 20.

c)

Add 10 to both sides of the equation.

d)

Multiply -3 by y and then by -6.

48.

What is the first step to solving this equation?

34(2x 8) = 9\frac{3}{4}\left(2x\ -8\right)\ =\ 9  

a)

Multiply both sides by 43Multiply\ both\ sides\ by\ \frac{4}{3}  

b)

Subtract 34 from both sides of the equation.Subtract\ \frac{3}{4}\ from\ both\ sides\ of\ the\ equation.  

c)

Multiply 2x and 8 by 43Multiply\ 2x\ and\ 8\ by\ \frac{4}{3}  

d)

Multiply both sides by 34Multiply\ both\ sides\ by\ \frac{3}{4}  

49.

Solve the following inequality:

8(4n3)280-8\left(-4n-3\right)\ge280  

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50.
You want to spend at most $1200 on a new laptop.  If you make a $400 down payment, then pay the same amount every month for 12 months.  Which Inequality could be use to solve to find out how much you can pay each month.
a)
12x + 1200 > 400
b)
12x + 400 < 1200
c)
12x + 400 > 1200
d)
12x + 400 < 1200
51.
Which addition expression matches the problem shown on the number line?
a)
3 + -4
b)
-4 + 3
c)
7 + -4
d)
-4 + 7
52.

Solve

5 + 1119 + 3\frac{5\ +\ 1}{11-9}\ +\ 3  

a)

3

b)

6

c)

7

d)

8

53.

Match the following

a)

product

1.

multiplication

b)

sum

2.

addition

c)

difference

3.

subtraction

d)

quotient

4.

division

54.
If the temperature drops 5 degrees every hour for 9 hours, which integer represents the change in temperature? 
a)
14
b)
-14
c)
45
d)
-45
55.
Look at the number line.
a)
–2 + 4 =  –2
b)
–2 + (–4) =  –6
c)
4 + (–6) =  –2
d)
4 + (–2) =  6
56.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
57.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
58.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
59.

Match the slope and y-intercept to the linear function.

a)

y=8x+7

1.

m=8

b=7

b)

x=-5

2.

m=undefined

b=not available

c)

y=23xy=\frac{2}{3}x  

3.

m=2/3

b=0

d)

y=23y=-\frac{2}{3}  

4.

m=0

b=-2/3

60.

Which graph shows a line with a negative slope ?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

61.

What is the y-intercept of the linear graph shown below?

a)

-3

b)

-6

c)

-1/2

d)

-2

62.

Which graph has a line with an x-intercept of -4 and a y-intercept of 2?

a)

Graph D

b)

Graph C

c)

Graph B

d)

Graph A

63.
a)
b)
c)
d)
64.
Is the graph proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
65.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
66.

A line is graphed on a coordinate grid.

Which statement about the line is true?

a)

The slope is undefined.

b)

The slope is 0.

c)

The slope is -4.

d)

The slope is 6.

67.

The slope of the line is _____.

a)

Undefined

b)

0

c)

-6

d)

9

68.

What is the equation of a line that passes through the point (-2,7) and has a slope of zero?

a)

x = 7

b)

y = -2

c)

y = 7

d)

x = -2

69.

Another name for a positive slope is which term?

a)

Vertical

b)

Horizontal

c)

Downhill

d)

Uphill

70.

What type of slope is Mario running in the picture?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

71.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
72.

What is the slope of the Jeep in the picture?

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

73.

Given:  y=35xy=\frac{3}{5}x , find the slope and y-intercept.

a)

Slope:  35\frac{3}{5}  

b)

y-intercept:  00  

c)

Slope:  11  

d)

y-intercept:  11  

e)

y-intercept:  35\frac{3}{5}  

74.

Given:  y=5x+3y=-5x+3 , find the slope and y-intercept.

a)

Slope:  5-5  

b)

y-intercept:  33  

c)

Slope:  55  

d)

y-intercept:  3-3  

e)

Slope:  15-\frac{1}{5}  

75.

Match the following slopes to the graphs:

a)
1.

Positive

b)
2.

Negative

c)
3.

Zero

d)
4.

Undefined

76.

Match the Graph with its slope.

a)
1.

Negative

b)
2.

Positive

c)
3.

Zero

d)
4.

Undefined