WorksheetsAlgebra II Final Peace Center
Total questions: 76
Worksheet time: 8hrs 6mins
Name
Class
Date
1.
A LETTER THAT CAN BE REPLACED BY A NUMBER
i.e. 4x (x is the _____)
i.e. 4x (x is the _____)
a)
exponent
b)
base
c)
inequality
d)
variable
2.
A NUMBER MULTIPLIED BY A VARIABLE OR VARIABLES
4x (4 is the _____)
4x (4 is the _____)
a)
coefficient
b)
term
c)
constant
d)
numerical expression)
3.
A TERM THAT DOES NOT HAVE A VARIABLE
i.e. 5x + 2y + 4 ( 4 is the _____)
i.e. 5x + 2y + 4 ( 4 is the _____)
a)
coefficient
b)
constant
c)
variable
d)
term
4.
A SENTENCE WITH AN EQUAL SIGN
i.e. 4x = 8
i.e. 4x = 8
a)
expression
b)
equation
c)
term
d)
variable
5.
Which is an equation?
a)
15 = a
b)
3x +2
c)
5a
d)
15 + 7 - 4w
6.
This property says that
a(b + c) = ab + ac
a(b + c) = ab + ac
a)
Distributive Property
b)
Commutative Property
c)
Associate Property
d)
Evaluate
7.
Which of the following is an operation?
a)
Addition
b)
Term
c)
Exponent
d)
Decimal
8.
In this expression -2x + 16y + 15, which are the coefficients?
a)
-2, 16, and 15
b)
2 and 16
c)
-2 and 16
d)
15
9.
How many terms in this statement?
7x + 9 = 14
7x + 9 = 14
a)
1
b)
2
c)
3
d)
4
10.
A number in front of a variable
a)
numerical equation
b)
coefficient
c)
constant
d)
inequality
11.
A letter that stands for a number
a)
constant
b)
coefficient
c)
variable
d)
expression
12.
Mathematical sentences that may contain variables, numbers, operation symbols, and one of the following: < > ≤ ≥
a)
algebraic expression
b)
numerical expression
c)
inequality
d)
variable
13.
3x + 5
a)
algebraic equation
b)
algebraic expression
c)
numerical expression
d)
numerical equation
14.
Name the Movie
a)
Toy Story
b)
Bug's Life
c)
Monster's Inc
d)
Finding Nemo
15.
What does the number 5 represent in the following expression:
2x + 5
2x + 5
a)
constant
b)
coefficient
c)
variable
d)
tacos
16.
What is the exponent in the following algebraic equation:
3x + 54 = y
3x + 54 = y
a)
x
b)
5
c)
4
d)
3
17.
3x-5x
a)
2x
b)
8x
c)
-2x
d)
15x2
18.
Like terms have the same variable and the same _____________.
a)
sign.
b)
number.
c)
exponent.
19.
8(x+3x)
a)
24x+8x
b)
30x
c)
32x
d)
32
20.
Click blue
a)
Blue
b)
Orange
c)
🤖
d)
Green
21.
Simplify:
3(9 + 2d) + 4d
3(9 + 2d) + 4d
a)
18d+10d
b)
18d-10d
c)
27+10d
d)
37d
22.
In the equation
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?
x + 7 = 12
7 is being added to the variable, x. How should you show your work to isolate the variable and solve the equation?
a)
Subtract 7 from both sides. The solution is x = 5.
b)
Add 7 to both sides.
The solution is x = 19.
The solution is x = 19.
c)
Multiply both sides by 7 The solution is x = 84.
23.
y - 33 = 147
a)
y = 114
b)
y = 177
c)
y = 180
d)
Answer not Given
24.
Solve the equation:
4p = 16
4p = 16
a)
p = 12
b)
p = -12
c)
p = -4
d)
p = 4
25.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
26.
Which equation has w = 8 as the solution?
a)
8w= 64
b)
16w = 240
c)
16 - w = 9
d)
4 + w = 10
27.
What equation matches this situation?
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
Robyn had some video games then bought 4 more. Now she has a total of 10 games.
a)
v - 4 = 10
b)
v + 4 = 10
c)
10 - 4 = v
d)
Answer not Given
28.
3n + 4 = 7
a)
1
b)
-1
c)
3.67
d)
2
29.
4c - 6 = 2
a)
2
b)
-2
c)
1
d)
3
30.
2k + 12 = -4
a)
-8
b)
8
c)
-10
d)
4
31.
Solve: 5x - 14 = 8x + 4
a)
6
b)
-6
c)
-18/13
d)
10/3
32.
4 = 2(x + 3)
a)
1/2
b)
7/2
c)
-1
d)
5
33.
6(6v +6) - 5 = 1 + 6v
a)
1
b)
-1
c)
no solution
d)
all real numbers
34.
(4x+1)(5x−2)
a)
20x2 + 3x − 2
b)
20x2 − 11x + 5
c)
20x2 − 18x + 2
d)
20x2 − 3x − 2
35.
(5x+1)(x+4)
a)
5x2 + 19x − 4
b)
5x2 + 21x + 4
c)
5x2 + 4
d)
5x2 − 19x − 4
36.
(2x − 3)(2x + 3)
a)
4x2 − 12x + 9
b)
4x2 − 9
c)
4x2 + 9
d)
4x2 + 6x − 9
37.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
38.
Simplify:
(10+ 15i)-(48 - 30i)
(10+ 15i)-(48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
39.
Simplify:
(7 + 2i)(9 - 6i)
(7 + 2i)(9 - 6i)
a)
75-24i
b)
63 - 24i - 12i2
c)
51 - 24i
d)
58 + 60i
40.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
41.
Simplify
2i - 7i + 10
2i - 7i + 10
a)
-5i+10
b)
5i
c)
9i+10
d)
5i+10
42.
Simplify
3i - (4 + 7i)
3i - (4 + 7i)
a)
-4 + 10i
b)
21 - 12i
c)
4 - 10i
d)
-4 - 4i
43.
Find the sum.
(5-2i) + (-7+8i)
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
44.
Multiply
(2i)(3i)
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
45.
Multiply:
(4 – 3i)(7 + 2i)
(4 – 3i)(7 + 2i)
a)
A. 22 - 13i
b)
B. 28 - 19i
c)
C. 34 - 13i
d)
D. -34 - 29i
46.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
47.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
48.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
49.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
50.
Simplify
x⁻⁶
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
51.
9n4 . 6n7
a)
15n11
b)
54n28
c)
3n3
d)
54n11
52.
Evaluate 2a + 4b
if a = 10 and b = 6
if a = 10 and b = 6
a)
20
b)
24
c)
44
d)
4
53.
What is f(−4) for the function f?
f(x) = 2x + 3
a)
-5
b)
-4
c)
-2
d)
-7
54.
What is f(5) for the function f?
f(x) = 2(x - 7)
a)
3
b)
-4
c)
-3
d)
1
55.
If f(x) = 5 + 4(x – 4)2,
what is f(7)?
a)
81
b)
29
c)
41
d)
54
56.
For the function f(x) = 3x + 2, find x such that f(x) = 14.
a)
19
b)
48
c)
44
d)
4
57.
What is the solution?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(0, 1)
58.
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
59.
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?
a)
3x + 2y = 315
2x + 4y = 450
2x + 4y = 450
b)
3x + 2y = 450
2x + 4y = 315
2x + 4y = 315
c)
2x + 2y = 315
3x + 4y = 450
3x + 4y = 450
60.
Give the solution to the system.
a)
(3,1)
b)
(1,3)
c)
(-1,3)
d)
(1, -3)
61.
If a system of linear equations has one solution, what does this mean about the two lines?
a)
Parallel lines
b)
the same line
c)
Intersecting lines
62.
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.
63.
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
a)
1.5x+0.5y=78.5
x+y=87
x+y=87
b)
1.5x+0.5y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
c)
x+y=78.5
1.5x+0.5y=87
1.5x+0.5y=87
d)
x+y=78.5
x+y=87
x+y=87
64.
How many solutions will this system have?
a)
One
b)
Two
c)
No Solution
d)
Infinitely Many Solutions
65.
How many solutions will this system have?
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
66.
The solution (x, y) to a system of equations is the point where they...?
a)
Run off the graph
b)
Don't touch
c)
Intersect
d)
Exist
67.
If a system of linear equations has infinitely many solutions, what does this mean about the two lines?
a)
Intersecting lines
b)
Same line
c)
Parallel lines
68.
Solve the following system by graphing. What is the solution?
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
69.
Solve by graphing.
y = 2x + 1
y = 4x - 1
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
70.
Solve this system of equations by graphing.
y = 1/2x + 2
y = -3x + 9
a)
(2, 3)
b)
(-2, -3)
c)
(3, 2)
d)
(-3, 2)
71.
Solve the following system by graphing. What is the solution?
a)
(-4, 2)
b)
(4, 2)
c)
(2, -4)
d)
(2, 4)
72.
What is Ms. Hay first name?
a)
Ashley
b)
Anita
c)
Amber
d)
Alexandra
73.
What is the name of this school?
a)
PEACE
b)
Thornwood
c)
Thornridge
d)
AFL
74.
What school district is this?
a)
204
b)
205
c)
206
d)
207
75.
Finish this name SpongeBob.....
a)
Square Pants
b)
Round Pants
c)
Triangle
d)
Krabs
76.
"Kiki do you love me" is from who's song?
a)
Neyo
b)
Drake
c)
Miguel
d)
Lil Boosie
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