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Math Final Exam

Total questions: 63

Worksheet time: 4hrs 20mins

Name
Class
Date
1.

Which operation should you perform first in the expression

4+33÷5-4+3^3\div5  

a)

exponent

b)

division

c)

addition

d)

subtraction

2.

6+2×36+2\times3  

What is the value of the expression

a)

12

b)

24

c)

16

d)

10

3.

A sixth-grade student bought three cans of tennis balls for $4 each. Sales tax for all three cans was $0.95. Write an expression to show the total amount the student paid.

a)

3×4+.953\times4+.95  

b)

3×.95×43\times.95\times4  

c)

(3×4)×.95\left(3\times4\right)\times.95  

d)

(4×.95)+3\left(4\times.95\right)+3  

4.

Sam bought two CDs for $13 each. Sales tax for both CDs was $3. How much did Sam pay in all?

a)

$18

b)

$78

c)

$29

d)

$14

5.

How to move all variables to one side?

Choose an appropriate first step for the equation: 2x - 4 = x + 5

a)

subtract 4 from both sides

b)

add 5 to both sides

c)

add 2x to both sides

d)

subtract x from both sides

6.

3x + 2y = 12

4y = 8x - 4

You want to do substitution and want to isolate a variable. Which first step listed is quickest for isolating a variable?

a)

Subtract 2y from both sides of the first equation

b)

Add 4 to both sides of the second equation

c)

Divide the top equation by 2

d)

Divide the bottom equation by 4

7.

3x + 2y = 12

4y = 8x - 4

You want to do substitution and want to isolate a variable. Which first step listed is quickest for isolating a variable?

a)

Subtract 2y from both sides of the first equation

b)

Add 4 to both sides of the second equation

c)

Divide the top equation by 2

d)

Divide the bottom equation by 4

8.

  Solve for x. 312=19x\frac{3}{12}=\frac{19}{x}  

a)

72

b)

76

c)

5

d)

51

9.

Solve for m. 34=m22\frac{-3}{4}=\frac{m}{22}  

a)

664\frac{-66}{4}  

b)

24

c)

664\frac{66}{4}  

d)

-33

10.

Solve for k. 7k2=58\frac{7}{k-2}=\frac{5}{8}  

a)

465\frac{46}{5}  

b)

11

c)

12

d)

665\frac{66}{5}  

11.

Solve for b. 1470=8b+2\frac{14}{70}=\frac{8}{b+2}  

a)

21

b)

38

c)

32.5

d)

56014\frac{560}{14}  

12.

Solve for x. x5x+4=23\frac{x-5}{x+4}=\frac{2}{3}  

a)

15

b)

1

c)

46

d)

23

13.
Greater than
a)
<
b)
>
c)
d)
14.
Less Than
a)
<
b)
>
c)
d)
15.
Less than or equal to
a)
<
b)
>
c)
d)
16.
Greater than or equal to
a)
<
b)
>
c)
d)
17.

8x328x\ge-32

a)

x4x\ge-4

b)

x4x\ge4

c)

x4x\le-4

d)

x4x\ge4

18.

s+925s+9\ge-25

a)

s18s\ge-18

b)

s34s\ge-34

c)

s18s\le18

d)

s34s\ge34

19.

4x2224x-2\le-22

a)

x5x\ge-5

b)

x6x\ge-6

c)

x6x\le-6

d)

x5x\le-5

20.

7b3<117b-3<11

a)

b<2b<2

b)

84>b84>b

c)

b>2b>2

d)

b<84b<84

21.
a)
x is less than or equal to -2
b)
x < -2
c)
-2 < x
d)
x is greater than -2
22.
a)
x > 1
b)
1 ≥ x
c)
x is greater than or equal to 1
d)
x is less than or equal to 1
23.

x+513x+5\le13

a)

x8x\ge8

b)

x18x\ge18

c)

x8x\le8

d)

x18x\le18

24.

10x310\ge x-3

a)

x13x\le13

b)

x13x\ge13

c)

x7x\le7

d)

x7x\ge7

25.

12y11<49-12y-11<49

a)

y<5y<-5

b)

y>5y>-5

c)

y>5y>5

d)

y<5y<5

26.

3r+10<2-3r+10<-2

a)

r<83r<-\frac{8}{3}

b)

r>83r>-\frac{8}{3}

c)

r>4r>4

d)

r<4r<4

27.
Which graph represents the inequality  6 > x
a)
A
b)
B
c)
C
d)
D
28.
Pick the correct inequality.
a)
x < -6
b)
x ≥ -6
c)
x > -6
d)
x ≤ -6
29.
When graphing an inequality, you use an OPEN dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
30.
When you graph an inequality, you used a CLOSED dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
31.
When you graph an inequality, you use a closed dot when you use which symbols?
a)
≤, ≥ 
b)
<, >
c)
≤, <
d)
≥, >
32.
When graphing an inequality, you use an open dot when you use which symbol?
a)
<, >
b)
≤, ≥ 
c)
≤, <
d)
≥, >
33.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
34.
Match the graph with its inequality.
a)
b > –2
b)
b < –2
c)
b ≥ –2
d)
b ≤ –2
35.
What inequality does the number line graph represent?
a)
x ≤ -4
b)
x ≥ -4
c)
x < -4
d)
x < 4
36.
What are two numbers that could be x in  x < 8?
a)
8.6, 7.9
b)
11, 16
c)
0.8, 5.9
d)
12, 7.1
37.
Would you use a closed or open circle to graph x < 3?
a)
Closed
b)
Open
38.
What inequality does the number line graph represent?
a)
x≥ 3
b)
x > 3
c)
x < -3
d)
x ≤ 3
39.
Match the graph with its inequality.
a)
a > 11
b)
a < 11
c)
a ≥ 11
d)
a ≤ 11
40.
What inequality does the number line graph represent?
a)
x > 5
b)
x < −5
c)
x ≥ 5
d)
x ≥ −5
41.

Is the relation a function? Why?

a)

Yes, because the x-value 11 has two y-values paired with it.

b)
Yes, because each x-value has only one y-value paired with it.
c)

No, because the x-value 11 has two y-values paired with it.

d)
No, because each x-value has only one y-value paired with it.
42.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
43.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
44.

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

a)
-1
b)
1
c)
5
d)
-5
45.

If f(x) = 3x - 9, find f(5).

a)
f(5) = 6
b)
f(5) = 16
c)
f(5) = -4
d)
f(5) = 24
46.
Find the slope of the line that passes through:
(-4, 7) and (-6, -4)
a)
2/11
b)
13/2
c)
3/10
d)
11/2
47.
Find the slope of the line that passes through:
(5, -10) and (5, -4)
a)
undefined
b)
0
c)
- 14/10
d)
10/14
48.
Find the slope of the line that passes through:
(-3, -4) and (7, 6)
a)
0
b)
Undefined
c)
-1
d)
1
49.
Determine the slope.
a)
m=1/7
b)
m=-1/7
c)
m=-7
d)
m=7
50.

What is the slope of the line?

a)

-2/3

b)

3/2

c)

2/3

d)

-3/2

51.

What is the slope of the line?

a)

2/3

b)

-2/3

c)

3/2

d)

-3/2

52.
Find the slope:
a)
3/4
b)
4/3
c)
-3/4
d)
-4/3
53.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
54.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
55.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
56.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
57.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
58.
Convert the standard form equation into slope-intercept form.
5x + y = -5
a)
y = -5x - 5
b)
y = ⅕x - 5
c)
x = ⅕
d)
y = 27, 239, 430
59.
Convert the standard form equation into slope-intercept form.
4x - 3y = 15
a)
y = (4/3)x - 5
b)
y = ⅔x - 5
c)
x = ¾
d)
y = 27, 239, 430
60.
Convert the standard form equation into slope-intercept form.
x + y = -1
a)
y = x - 1
b)
y = 27, 239, 430
c)
y = -1x
d)
y = -x - 1
61.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
slope
c)
macaroni
d)
x-intercept
62.

What is the slope formula?

a)

m = y2 y1x2  x1m\ =\ \frac{y_2-\ y_1}{x_{2\ }-\ x_1}  

b)

(x1, y1) (x2, y2)\left(x_1,\ y_1\right)\ \left(x_2,\ y_2\right)  

c)

m = x2 x1y2  y1m\ =\ \frac{x_2-\ x_1}{y_{2\ }-\ y_1}  

63.

What is point-slope form?

a)

y = mx + b

b)

Ax + By = C

c)

A2 + B2 = C2

d)

y = m(x - x1) + y1