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Math 8 SBA Review (Integrated 1)

Total questions: 80

Worksheet time: 4hrs 43mins

Name
Class
Date
1.
Which of the following is an IRRATIONAL number? 
a)
√9
b)
23
c)
√2
d)
14.2536
2.
Which of the following is an IRRATIONAL number? 
a)
√9
b)
23
c)
√2
d)
14.2536
3.
Choose the statement that is NOT represented in the graph
a)
Sue stopped for a break 10 and 2
b)
Sue left home at 9 and returned at 5
c)
Sue traveled more than 150 km from home
d)
It took Sue 3 hours to return home
4.
List all the angles equal to 650
a)
∠5, ∠7, ∠8
b)
∠1, ∠3. ∠8
c)
∠2, ∠4, ∠8
d)
∠1, ∠2, ∠3, ∠4
5.
∠2 and ∠8 are what type of angles? 
a)
Alternate Interior Angles
b)
Alternate Exterior Angles
c)
Vertical Angles
d)
Corresponding Angles
6.
The original image is located in what Quadrant? 
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
7.
A florist delivers Teacher Appreciation bouquets for a $10 delivery fee and $25 per dozen flowers. Which equation represents the total cost per order?
a)
y = 10x + 25
b)
y = 25x + 10
8.

3650=365^0=  

a)

0

b)

1

c)

365

d)

1365\frac{1}{365}  

9.

y0=y^0=  

a)

y

b)

0

c)

1

d)

10

10.

x3x4 =x^3\cdot x^4\ =  

a)

x12 x^{12\ }  

b)

x1x^{-1}  

c)

x7x^7  

d)

x34x^{34}  

11.

m2m6m=m^2\cdot m^6\cdot m=  

a)

m8m^8  

b)

m12m^{12}  

c)

m4m^4  

d)

m9m^9  

12.

x3x7x2x^{-3}\cdot x^7\cdot x^2  =

a)

x6x^6  

b)

x12x^{12}  

c)

x42x^{-42}  

d)

x12x^{-12}  

13.

x9x4\frac{x^9}{x^4}  =

a)

x13x^{13}  

b)

x36x^{36}  

c)

x5x^5  

d)

x5x^{-5}  

14.

x17x8\frac{x^{17}}{x^8}  

a)

x9x^9  

b)

x25x^{25}  

c)

x9x^{-9}  

d)

x25x^{-25}  

15.

9x23x=\frac{9x^2}{3x^{ }}=  

a)

3x23x^2  

b)

3x3x

c)

9x9x  

d)

6x6x  

16.

a5b10a3b6=\frac{a^5b^{10}}{a^3b^6}=  

a)

a8b16a^8b^{16}  

b)

a2b4a^2b^4  

c)

a15b60a^{15}b^{60}  

d)

a2b16a^2b^{16}  

17.

(x5)4\left(x^5\right)^4  

The power of a power rule says that when an exponential expression is raised to a power (as shown above), you should _________ the inner and outer exponents

a)

add

b)

subtract

c)

multiply

d)

divide

18.

(x7)2\left(x^7\right)^2  =

a)

x14x^{14}  

b)

x9x^9  

c)

x5x^5  

d)

2x72x^7  

19.

(a3b5)7\left(a^3b^5\right)^7  =

a)

a3b35a^3b^{35}  

b)

a10b12a^{10}b^{12}  

c)

a8b8a^8b^8  

d)

a21b35a^{21}b^{35}  

20.

(ab2)8\left(ab^2\right)^8  =

a)

ab16ab^{16}  

b)

a8b16a^8b^{16}  

c)

a9b10a^9b^{10}  

d)

ab10ab^{10}  

21.
Simplify the expression:
(58) ÷ (52)
a)
56
b)
510
c)
54
d)
516
22.
  simplify    7-2
a)
1/7= 1/49
b)
-49
c)
-14
d)
1/14
23.
5-3 = 1
a)
True 
b)
False 
24.
78/74 = 72
a)
True 
b)
False 
25.
12 + 5w - 4w = 15
a)
w=1
b)
w=3
c)
w=5
d)
w=4
26.
-2x - 7 + 3x = 10
a)
x=-2
b)
x=3
c)
x=10
d)
x=17
27.
3x + 2(4x - 4) = 3
a)
4
b)
3
c)
2
d)
1
28.
I open a saving account with $200 and plan to put $50 per month in the account.
Which expression represents this situation after x number of months?
a)
200 + 50x
b)
200x + 50
c)
200 + x + 50
29.
2(3x + 7) = x +10 + 5x + 4
a)
2
b)
-4
c)
no solution
d)
all real numbers
30.
What is the best classification for this number?   -4
a)
natural
b)
whole
c)
integer
d)
rational
31.
What is the best classification for this number?  
π
a)
integer
b)
rational
c)
irrational
d)
imaginary
32.
What is the best classification for this number?  .78787878...
a)
integer
b)
rational
c)
irrational
d)
whole
33.
What is the best classification for this number?   10
a)
natural
b)
whole
c)
integer
d)
rational
34.
What is the best classification for this number?   0
a)
natural
b)
whole
c)
integer
d)
rational
35.
What is the best classification for this number?  1/4
a)
integer
b)
rational
c)
irrational
d)
whole
36.
What is the best classification for this number?   √16
a)
rational
b)
whole
c)
integer
d)
real
37.
What is the best classification for this number?   8.14
a)
whole
b)
integer
c)
rational
d)
irrational
38.
In between what two integers is the square root of 77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
39.
In between what two integers is the square root of 44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
40.
Which number is NOT a perfect square?
a)
196
b)
169
c)
121
d)
132
41.
Between which two whole numbers is the 
√20 ?
a)
5 and 6
b)
10 and 2
c)
4 and 5
d)
3 and 4
42.
Which number has a square root that  is between 5 and 6?
a)
48
b)
81
c)
28
d)
36
43.
List in order from least to greatest.
5/4, 56%, 1.07, 4/5
a)
5/4, 56%, 1.07, 4/5
b)
1.07, 4/5, 5/4, 56%
c)
56%, 1.07, 4/5, 5/4
d)
56%, 4/5, 1.07, 5/4
44.
Order from least to greatest:
[-8, 7, -6, 5, -4, 3, -2]
a)
-2, 3, -4, 5, -6, 7, -8
b)
-2, -4, -6, -8, 3, 5, 7
c)
-6, -8, -4, -2, 7, 5, 3
d)
-8, -6, -4, -2, 3, 5, 7
45.

Convert ⅘ to a decimal

a)

.45

b)

.80

c)

.40

d)

.54

46.
a)
Repeating Decimal
b)
Terminating Decimal
47.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair 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 pair with it.
d)
No, because each x-value has only one y-value paired with it.
48.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
49.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
50.
Which graph is a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
51.
Which graph is NOT a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
52.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
53.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
54.
Is this table a function or not a function? 
a)
Function
b)
Not a Function 
55.

Is the relation in the table a function?

a)

Yes, each input has exactly one output

b)

No, each input has exactly one output

c)

Yes, each input has multiple outputs

d)

No, each input has multiple outputs

56.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

57.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
58.
Find the missing side
a)
36
b)
76.8
c)
12
d)
40
59.
solve for x
a)
5552363959656.
b)
10
c)
100
d)
89
60.
An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?
a)
65 miles
b)
89 miles
c)
45.4 miles
d)
We don't have enough information.
61.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
62.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
63.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
64.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
65.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
66.
Find the slope of the line that passes through:
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
67.

What is the slope represented in the table?

a)

slope: 12\frac{1}{2}

b)

slope: 22

c)

slope: 12-\frac{1}{2}

d)

slope: 2-2

68.
In the equation, y = mx + b, the letter b is the ___________.
a)
y-intercept
b)
x-intercept
c)
slope
d)
rate of change
69.
What is the slope of the equation?
y = -3x + 4
a)
-3
b)
3
c)
4
d)
-4
70.
Write the equation for the line
a)
 y=⅗x+1
b)
  y=⅗x-1
c)
 y=(5/3)x+1
d)
y=(3/5)x+1
71.
Which equation is being represented by this line?
a)
y = -1x + 2
b)
y = 1/2x + 2
c)
y = 3x -4
d)
y = -3x +2
72.
Write the equation for the line in slope-intercept form
a)
 y=-1x+3
b)
y=4x+3
c)
y=¼x+3
d)
y=-4x+3
73.

which of the following is a linear graph?

a)
b)
c)
d)
74.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
75.
Solve for x and y
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
76.
If a system of equations has no solution, what does the graph look like? 
a)
intersecting lines
b)
parallel lines
c)
skew lines
d)
intersecting lines
77.
What is the solution?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
d)
(0, -1.5)
78.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
79.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
80.
What is the solution to the system of equations? 
y = 3x - 8
y = 4 - x
a)
(3,1)
b)
(1,3)
c)
(-3,1)
d)
(3,-1)