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WorksheetsConcepts Final Review
Total questions: 92
Worksheet time: 9hrs 2mins
Name
Class
Date
1.
What is PEMDAS?
a)
The name of the first mathematician
b)
The name of Mr. Hicks' dog
c)
The order of operations
d)
A math holiday
2.
Evaluate the following:
3(3-4)+1
3(3-4)+1
a)
-2
b)
2
c)
-3
d)
1
3.
Evaluate the following:
(1+2)2 ÷ 3
(1+2)2 ÷ 3
a)
1
b)
4
c)
3
d)
2
4.
Evaluate the following:
9 - 8 ÷ 22
9 - 8 ÷ 22
a)
1
b)
4
c)
7
d)
8
5.
What is the quotient of these fractions in lowest terms?
a)
6/40
b)
6/10
c)
3/5
d)
12/20
6.
6 divided by 1/5
a)
1/30
b)
30
c)
1 1/5
d)
1/6
7.
Solve 5x + 7 = -13
a)
x=4
b)
x=-4
c)
x=5
d)
x=-5
8.
2x + 3(5x - 7) = 47
a)
x = 1
b)
x = 2
c)
x = 3
d)
x = 4
9.
-11 + 3(b + 5) = 7
a)
b = 1
b)
b= -1
c)
b = 3
d)
b = -3
10.
Use cross multiplication to solve for the value of n. Round your answer to the nearest tenth.
2/16 = 15/n
2/16 = 15/n
a)
n = 120
b)
n = 18
c)
n = 16
d)
n = 100
11.
Evaluate each expression.
| x + 9 | = 5
| x + 9 | = 5
a)
x = -14
b)
x = -4
c)
x = -4
x = -14
x = -14
d)
x = 4
x = 14
x = 14
12.
∣ 2x + 9 ∣ = 15
a)
x = 3
b)
x = 3
x = -6
x = -6
c)
x = 3
x = -12
x = -12
d)
x = 6
x = -12
x = -12
13.
.7
a)
7/10
b)
7/100
c)
7/1000
d)
70/20
14.
.75
a)
3/6
b)
3/4
c)
2/6
d)
1/4
15.
1/4
a)
.20
b)
.23
c)
.4
d)
.25
16.
1/3 as a decimal
a)
.33333...
b)
.3
c)
.36
d)
.32
17.
0.8=
a)
1/8
b)
5/4
c)
4/5
d)
8/1
18.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
19.
Select the correct graph for each inequality.
a)
A
b)
B
c)
C
d)
D
20.
How can I tell if an inequality will have a solid line?
a)
It has an equal sign.
b)
The symbol is greater than.
c)
The symbol has "or equal to."
d)
You just guess.
21.
Do I need to flip my sign?
3x ≥ 12
3x ≥ 12
a)
Yes
b)
No
22.
a)
A
b)
B
c)
C
d)
D
23.
a)
A
b)
B
c)
C
d)
D
24.
a)
A
b)
B
c)
C
d)
D
25.
5(v + 3) - 10v > -10
a)
v < 5
b)
v > 5
c)
v > -5
d)
v < -5
26.
What is the first step?
a)
Get the absolute value alone by dividing both sides by 5
b)
Drop the absolute value bars and add 7 and 5 together
c)
Get the absolute value alone by subtracting 5 from both sides
27.
Find the solution.
a)
A
b)
B
c)
C
d)
D
28.
Find the solution.
a)
A
b)
B
c)
C
d)
D
29.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
30.
What is the slope in the equation: y=4x+3
a)
3
b)
4x
c)
4
d)
x
31.
What is the y-intercept in the following equation: y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
32.
Which of these represents slope-intercept form?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
33.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
34.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
35.
Write an equation in slope int. form of the line through (4,-1) with slope of -3
a)
y = 3x - 6
b)
y = -3x +11
c)
y = -3x - 11
d)
y = -3x -6
36.
Parallel lines have the _____ _____
a)
same y intercept
b)
same slope
c)
opposite slope
d)
none of these
37.
If the slope of a line is 4, the perpendicular slope is ___
a)
4
b)
-4
c)
-1/4
d)
1/4
38.
2x - 6y = 3
-2x + 6y = 3
Are the lines parallel or perpendicular?
Hint* get both to y = and look at slope
-2x + 6y = 3
Are the lines parallel or perpendicular?
Hint* get both to y = and look at slope
a)
parallel
b)
perpendicular
c)
neither
39.
What is the solution to the system?
a)
(6, 8)
b)
(8, 6)
c)
(-6, 8)
d)
No solution
40.
Solve for x and y.
y = 2/3x - 2
y = -x + 3
y = 2/3x - 2
y = -x + 3
a)
(0,3)
b)
(0,-3)
c)
(3,0)
d)
(-3,0)
41.
Solve for x and y
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
42.
What is the solution to this system?
a)
One Solution
b)
No solution
c)
Infinitely Many Solutions
43.
Parallel Lines never intersect because...
a)
they have the same slopes.
b)
they have the same y-intercept.
c)
they have different slopes.
d)
they have different y-intercepts.
44.
Dimensions?
a)
a
b)
b
c)
c
d)
d
45.
What must be true in order to ADD two matrices?
a)
They must be square.
b)
The dimensions must be equal.
c)
The determinant can't equal 0.
d)
The column of the 1st must equal the row of the 2nd.
46.
Add
a)
11 8
-4 2
-4 2
b)
3 2
-6 -6
-6 -6
c)
-3 2
-4 -6
-4 -6
d)
10 8
-6 2
-6 2
47.
Subtract
a)
3 -8
0 -1
0 -1
b)
3 -4
8 -13
8 -13
c)
-3 8
0 1
0 1
d)
3 -8
-8 1
-8 1
48.
You can multiply a 2X3 matrix by which matrix?
a)
2X2
b)
2X12
c)
3X12
d)
2X3
49.
Multiply
a)
25
25
5
25
5
b)
-25
25
-5
25
-5
c)
-10
-10
-6
-10
-6
d)
10
10
6
10
6
50.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
51.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
52.
According to exponent rules, when we multiply powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
53.
According to exponent rules, when we raise a power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
54.
How would you change this to a positive exponent:
1/x-3
1/x-3
a)
1/x3
b)
x3
c)
3x
d)
1/3x
55.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
56.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
57.
What does FOIL stand for?
a)
Failing Only in Latin
b)
Farming Only in Lakewood
c)
First Outside Inside Last
d)
Fresh Only in Lakes
58.
Mult (2x + 3)(3x + 4)
a)
6x2 + 17x + 7
b)
6x2 + 17x + 12
c)
6x2 + 8x + 12
d)
6x2 + 9x + 12
59.
Mult (3x + 1)(2x + 5)
a)
6x2 + 17 + 5
b)
6x + 17x + 5
c)
6x2 + 17x + 5
d)
6x2 + 17 + 5x
60.
Factor
k2+7x+10
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
61.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
62.
Factor
x2+12x+35
x2+12x+35
a)
(x+5)(x+7)
b)
(x+4)(x+3)
c)
(x+7)(x-5)
d)
(x+5)(x-7)
63.
(x + 5)2
Hint: take (x + 5) times (x + 5)
Hint: take (x + 5) times (x + 5)
a)
x2 + 25
b)
x2 + 10x + 25
c)
x2 + 10 x + 10
d)
x2 + 10
64.
When do you use grouping?
a)
When the ends are perfect squares
b)
When it is a binomial
c)
When it is a trinomial
d)
When the polynomial has four terms.
65.
3x2 - 75
a)
3( x + 5 ) ( x - 5 )
b)
Prime
c)
( x + 5 ) ( x - 5 )
d)
3( x - 5 ) ( x - 5 )
66.
Factor by grouping
x3 - 4x2 -4x + 16
x3 - 4x2 -4x + 16
a)
(x+4)(x+2)(x - 2)
b)
(x-4)(x2 -4)
c)
(x+4)(x2 -4)
d)
(x-4)(x-2)(x + 2)
67.
Factor by grouping:
4p³+8p²+3p+6
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
68.
Factor completely:
3x2 - 7x - 6
3x2 - 7x - 6
a)
(3x + 2)(x - 3)
b)
(3x - 2)(x + 3)
c)
(3x - 3)(x + 3)
d)
(3x - 4)(x - 2)
69.
Solve by factoring: 2x2+ 7x + 6 = 0
a)
x= 3/2 and x = 2
b)
x = -3/2 and x = -2
c)
x = 6 and x = 7
d)
x = -6 and x = -7
70.
Solve by factoring: x2 + 3x - 18 = 0
a)
x = -3 and x = 6
b)
x = 3 and x = -6
c)
x = -9 and x = 2
d)
x = 9 and x = -2
71.
Solve by factoring: 2x2 - 5x - 12 = 0
a)
x = -4 and x = -6
b)
x = 4 and x = -3/2
c)
x = 4 and x = 6
d)
x = -4 and x = 3/2
72.
Simplify
a)
A.4x³/(x+2)
b)
B.4x³/(x+10)
c)
C.2x³/(5x+1)
d)
D. 2x³/(x+5)
73.
Simplify
a)
(x-9)/(x+9)
b)
1/(x-9)
c)
(x+9)
d)
1/(x+9)
74.
Multiply and Simplify
a)
4(x+3)/(x+2),
b)
(x+2)/4(x+1)
c)
(x+2)/4(x+3),
d)
4(x+1)/(x+2),
75.
Multiply and Simplify
a)
5a-25/ (a-5)(a+9)
b)
5/(a+9)
c)
5a-25/ (a+9)
d)
1/(a+9)
76.
Divide and Simplify
a)
A
b)
B
c)
C
d)
D
77.
√48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
78.
√96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
79.
√72
a)
7√9
b)
4√6
c)
6√2
d)
3√4
80.
Simplify the following radical: √300
a)
3√10
b)
2√150
c)
100√3
d)
10√3
81.
Simplify:
√6 ⋅√6
√6 ⋅√6
a)
√36
b)
2√3
c)
12
d)
6
82.
Simplify:
√10 ⋅ √45
√10 ⋅ √45
a)
3√50
b)
8√2
c)
√450
d)
15√2
83.
Multiply the radicals
(-7+√3)(4+√3)
(-7+√3)(4+√3)
a)
-21-3√3
b)
37+11√3
c)
21-3√3
d)
21+11√3
84.
Simplify 2√5(3√3+6√2)
a)
6√15+12√10
b)
15√6+30√10
c)
90
d)
6√10+12√6
85.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
86.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
87.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
88.
Find the distance between ( 1, 3) and (5, 6)
a)
3
b)
4
c)
5
d)
6
89.
What is the opposite of squaring a number?
a)
divide
b)
multiply
c)
fractions
d)
square root
90.
What is the distance between (-5, 3) and (4, -5)
a)
Square root of -145
b)
Square root of 145
c)
145
d)
-145
91.
a)
A
b)
B
c)
C
d)
D
92.
a)
A
b)
B
c)
C
d)
D
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