Review Test
If you can answer this one test question, consider yourself a BRAINIAC!
Start
Congratulations  you have completed Review Test.
You scored %%SCORE%% out of %%TOTAL%%.
Your performance has been rated as %%RATING%%  %%WRONG_ANSWERS%% Number of answers you got wrong
Your answers are highlighted below.
Question 1 
What is the solution set of 3x + 4x = 7x +1?
A  1 Hint: Solve for x. What you do to one side do to the other side. 
B  Empty {} Hint: Solve for x. What you do to one side do to the other side. 
C  3 Hint: Solve for x. What you do to one side do to the other side. 
D  0 Hint: Solve for x. What you do to one side do to the other side. 
E  2 Hint: Solve for x. What you do to one side do to the other side. 
Question 1 Explanation:
3x + 4x = 7x + 1
7x = 7x + 1
7x  7x = 7x  7x + 1
0 = 1, Statement is false.
Set is empty {}.
Question 2 
Solve for x:x² + 4x = 12 x
A  4, 4 Hint: Rearrange the equation. 
B  3, 4 Hint: Rearrange the equation. 
C  2, 6 Hint: Rearrange the equation. 
D  4, 3 Hint: Rearrange the equation. 
E  2, 6 Hint: Rearrange the equation. 
Question 2 Explanation:
x^2 + 4x = 12
x^2 + 4x 12 = 12  12
x^2 + 4x  12 = 0
use quadratic formula or factor out 12
factors of 12: 1, 2, 3, 4, 6, 12
2 + 6 = 4
2 * 6 = 12
x^2 + 4x  12 = (x  2)(x + 6)
Question 3 
Evaluate 12  3 + 4
A  19 Hint: Order of Operations
P.E.M.D.A.S. = P(), E^, [M* D/], [A+ S]
[M* D/] order is from left to right
[A+ S] order is from left to right 
B  5 Hint: Order of Operations
P.E.M.D.A.S. = P(), E^, [M* D/], [A+ S]
[M* D/] order is from left to right
[A+ S] order is from left to right 
C  16 Hint: Order of Operations
P.E.M.D.A.S. = P(), E^, [M* D/], [A+ S]
[M* D/] order is from left to right
[A+ S] order is from left to right 
D  11 Hint: Order of Operations
P.E.M.D.A.S. = P(), E^, [M* D/], [A+ S]
[M* D/] order is from left to right
[A+ S] order is from left to right 
E  13 Hint: Order of Operations
P.E.M.D.A.S. = P(), E^, [M* D/], [A+ S]
[M* D/] order is from left to right
[A+ S] order is from left to right 
Question 3 Explanation:
12  3 + 4
[12  3] + 4
9 + 4 = 13
Question 4 
Evaluate the expression 12b + 3a when a = 3 and b = 2.
A  30 Hint: Plug in and solve. 
B  15 Hint: Plug in and solve. 
C  30 Hint: Plug in and solve. 
D  0 Hint: Plug in and solve. 
E  15 Hint: Plug in and solve. 
Question 4 Explanation:
12b + 3a; a = 3, b = 2
12 * (2) + 3 * (3)
24 + 9 = 15
Question 5 
Given the equation:
6(x + 6) = 3(4x + 3)
Solve for x.
A  45/6 Hint: Distribute and then solve for x. 
B  9/2 Hint: Distribute and then solve for x. 
C  12/6 Hint: Distribute and then solve for x. 
D  8/5 Hint: Distribute and then solve for x. 
E  8/5 Hint: Distribute and then solve for x. 
Question 5 Explanation:
6(x + 6) = 3(4x + 3)
6x  36 = 12x  9
6x  36 + 36 = 12x  9 + 36
6x = 12x + 27
6x + 12x = 12x + 12x + 27
6x = 27
6x/6 = 27/6
x = 27/6 or x = 9/2
Question 6 
Which of the following are integers? 3, 4, 1/2, 0, 1, 2
A  1, 2 
B  3, 4, 0 
C  3, 4, 0, 1, 2 
D  0 
E  3, 4 
Question 6 Explanation:
Integers are also known as whole numbers
Question 7 
Simplify √(12xy)/(√x)
A  12xy 
B  12 
C  2(3y)^0.5 
D  x^0.5 
E  12y^0.5 
Question 7 Explanation:
[(12xy)^(1/2)] / (x)^(1/2)
same as
(12^0.5 * x^0.5 * y^0.5) / (x^0.5)
cancel like terms
factor 12 = 2 * 2 * 3
pull out the 2
2*(3y)^0.5
Question 8 
Divide, where 6a + 4b ≠ 0:
(36a²  16b²) / (6a + 4b)
A  a + b Hint: Factor the top first. 
B  6a + 4b Hint: Factor the top first. 
C  4a + 6b Hint: Factor the top first. 
D  4a  6b Hint: Factor the top first. 
E  6a  4b Hint: Factor the top first. 
Question 8 Explanation:
(36a^2  16b^2) / (6a + 4b)
If you can multiply the bottom expression and get the expression on top without the middle part of the expression then follow
ex
(6a + 4b) * (6a + 4b) = 36a^2 + 48ab + 16b^2
notice how the similar the bottom equation result is to the top
(36a^2  16b^2) / (36a^s + 48ab + 16b^2)
close but not quite the same
go back and the realize the factor of the top part is
(6a + 4b) * ( 6a  4b)
so that
((6a + 4b) * (6a  4b))/ (6a + 4b = 6a  4b
Question 9 
Divide, where x ≠ 11:
(x²  x  110) / (x  11)
A  x + 11 
B  x  10 
C  x  11 
D  x  10  x  11 
E  x + 10 
Question 9 Explanation:
(x^2  x  110) / (x  11)
factor the top expression
(x^2  x  110) = (x + 10) (x  11)
place back into equation
[(x + 10) (x  11)] / (x  11)
cancel like terms
[(x + 10) (x  11)] / (x  11) = x + 10
x + 10
Question 10 
Three times the sum of a number and 5 is equal to 27. What is the number?
A  5 Hint: Follow order of operations 
B  9 Hint: Follow order of operations 
C  4 Hint: Follow order of operations 
D  1 Hint: Follow order of operations 
E  3 Hint: Follow order of operations 
Question 10 Explanation:
3*(x + 5) = 27
divide by 3 on both sides
[3*(x + 5)]/3 = 27/3
x + 5 = 9
subtract 5 from both sides
x + 5  5 = 9  5
x = 4
Question 11 
Find the slope (m) and yintercept (b): y  0.5x = 3.5
A  slope (m) = 3
yintercept (b) = 3.5 Hint: Put equation into Slopeintercept form. 
B  slope (m) = 0.5
yintercept (b) = 3.5 Hint: Put equation into Slopeintercept form. 
C  slope (m) = 3.5
yintercept (b) = 3 Hint: Put equation into Slopeintercept form. 
D  slope (m) = 0.5
yintercept (b) = 3.5 Hint: Put equation into Slopeintercept form. 
E  slope (m) = 1
yintercept = 2 Hint: Put equation into Slopeintercept form. 
Question 11 Explanation:
y  0.5x = 3.5
y  0.5x + 0.5x = 0.5x + 3.5
y = 0.5x + 3.5
slope (m) = 0.5
yintercept (b) = 3.5
Question 12 
²²What is the c set of x² <100?
A  10 < X Hint: Solve for x. What you do to one side do to the other side. 
B  10 < X < 10 Hint: Solve for x. What you do to one side do to the other side. 
C  10 < X Hint: Solve for x. What you do to one side do to the other side. 
D  10 > X > 10 Hint: Solve for x. What you do to one side do to the other side. 
E  X = 10 Hint: Solve for x. What you do to one side do to the other side. 
Question 12 Explanation:
x^2 < 100
(x^2)^(1/2) < (100)^(1/2)
x {10, 10}
10 < x < 10
Question 13 
5ab^{4}  ab^{4} =
A  ab^{4} Hint: for like terms process is the same 
B  5 Hint: for like terms process is the same 
C  4 Hint: for like terms process is the same 
D  4ab^4 Hint: for like terms process is the same 
E  ab^4 Hint: for like terms process is the same 
Question 13 Explanation:
5ab^4 ab^4 = 4ab^4
Question 14 
Simplify √[(3X^2) / 4]
A  x (3/4)^(/1/2) 
B  x^2 
C  (x/2) * (3)^(1/2) 
D  (3/4)(x^2) 
E  (3/4)x 
Question 14 Explanation:
[(3x^2)/4]^(1/2)
Whatever i squared can be pulled out
x^2
&
2^2 = 4 so 2
x/2 * (3)^(1/2)
Question 15 
Evaluate 21  (6  2) / 2
A  15 
B  16 
C  17 
D  19 
E  11 
Question 15 Explanation:
21  (6  2) / 2
21  (4) / 2
21  [4 / 2]
21  2 = 19
Question 16 
Evaluate 5 + 6 * 2
A  16 Hint: Order of Operations
P.E.M.D.A.S. = P(), E^, [M* D/], [A+ S]
[M* D/] order is from left to right
[A+ S] order is from left to right 
B  11 Hint: Order of Operations
P.E.M.D.A.S. = P(), E^, [M* D/], [A+ S]
[M* D/] order is from left to right
[A+ S] order is from left to right 
C  13 Hint: Order of Operations
P.E.M.D.A.S. = P(), E^, [M* D/], [A+ S]
[M* D/] order is from left to right
[A+ S] order is from left to right 
D  17 Hint: Order of Operations
P.E.M.D.A.S. = P(), E^, [M* D/], [A+ S]
[M* D/] order is from left to right
[A+ S] order is from left to right 
E  22 Hint: Order of Operations
P.E.M.D.A.S. = P(), E^, [M* D/], [A+ S]
[M* D/] order is from left to right
[A+ S] order is from left to right 
Question 16 Explanation:
5 + 6 * 2
5 + [6 * 2]
5 + 12 = 17
Question 17 
Divide, where x ≠ 2:
(3x  6)/(x  2)
A  0 Hint: Pull out the common factor 
B  2 Hint: Pull out the common factor 
C  3 Hint: Pull out the common factor 
D  1 Hint: Pull out the common factor 
E  3 Hint: Pull out the common factor 
Question 17 Explanation:
(3x  6) / (x  2)
Pull 3 out from the top part of the equation
3 * (x  2) / (x  2)
where (x  2)/(x  2) = 1
3 * 1 = 3
Question 18 
Which of the following are prime numbers? 2, 5, 7, 9, 15, 21
A  7, 9, 15 Hint: Prime numbers are numbers that can be divide by 1 and itself.

B  2,15, 21 Hint: Prime numbers are numbers that can be divide by 1 and itself.

C  2, 9, 21 Hint: Prime numbers are numbers that can be divide by 1 and itself.

D  2, 5, 7 Hint: Prime numbers are numbers that can be divide by 1 and itself.

E  9, 15, 21 Hint: Prime numbers are numbers that can be divide by 1 and itself.

Question 18 Explanation:
Prime numbers are numbers that can be divide by 1 and itself.
2, 5, 7
Question 19 
Factor the polynomial 4x² + 4x.
A  x  1 
B  1 
C  4x(x +1) 
D  x + 1 
E  4x 
Question 19 Explanation:
4x^2 + 4x
4x is common in both parts
4x(x + 1)
Question 20 
Is the sentence 2 + 2 = 5 open or closed? Is it true or false?
A  Closed and true Hint: Are there any unknown variables. such as a, x and etc. 
B  Open and true Hint: Are there any unknown variables. such as a, x and etc. 
C  Closed and false Hint: Are there any unknown variables. such as a, x and etc. 
D  Open and false Hint: Are there any unknown variables. such as a, x and etc. 
E  I do not know Hint: Are there any unknown variables. such as a, x and etc. 
Question 20 Explanation:
It is closed because there are no variables.
The statement 2 + 2 = 5 is false.
Question 21 
Use the elimination method to solve the following system of equations:
y = 2x + 5
x + y = 2
A  y = 1 
B  x = 2 
C  y = 3 
D  x = 3 
E  x = 1 
Question 21 Explanation:
y = 2x + 5
x + y = 2
y  2x = 2x  2x + 5
x + y = 2
y  2x = 5
x + y = 2
y  2x = 5
y + x = 2
make on expression negative
y  2x = 5
(y + x = 2)
y  2x = 5
y  x = 2
add downwards
y + (y)  2x + (x) = 5 + (2)
3x = 3
3x/3 = 3/3
x = 1
plug in x = 1 into one of the equations
x + y = 2
(1) + y = 2
1 + 1 = y = 2 + 1
y = 3
Question 22 
If Raven travels at 65 miles per hour (mph) for 3.5 hours, how far does she travel? Use the formula D = rt. r = rate, t = time.
A  75 miles Hint: plug in and solve 
B  22.5 miles Hint: plug in and solve 
C  25 miles Hint: plug in and solve 
D  227.5 miles Hint: plug in and solve 
E  2275 miles Hint: plug in and solve 
Question 22 Explanation:
D = rt
D = r * t
D = 65 * 3.5 = 227.5 miles
Question 23 
What is the solution set of x²= 100?
A  10 Hint: Solve for x. What you do to one side do to the other side. 
B  10 Hint: Solve for x. What you do to one side do to the other side. 
C  5 Hint: Solve for x. What you do to one side do to the other side. 
D  10, 10 Hint: Solve for x. What you do to one side do to the other side. 
E  5 Hint: Solve for x. What you do to one side do to the other side. 
Question 23 Explanation:
x^2 = 100
(x^2)^(1/2) = (100)^(1/2)
x = {10,10}
Question 24 
Given the equation:
2x + 4  13x = 7x  2 + 14
solve for x.
A  22 
B  7 
C  4/11 
D  7 
E  8/22 
Question 24 Explanation:
2x + 4  13x = 7x  2 + 14
15x + 4 = 7x + 12
15x + 15x + 4 = 7x + 15x + 12
4 = 22x + 12
4  12 = 22x +12  12
8 = 22x
8/22 = 22x/22
8/22 = x or 4/11 = x
Question 25 
What expression is equivalent to "ten more than three times a number?
A  3 * (x +10) Hint: The word "more" means adding.
The word "times" means multiplying. 
B  10 + 3 * 10 Hint: The word "more" means adding.
The word "times" means multiplying. 
C  3x + 10 Hint: The word "more" means adding.
The word "times" means multiplying 
D  10 * 3* x Hint: The word "more" means adding.
The word "times" means multiplying. 
E  10 * (3+x) Hint: The word "more" means adding.
The word "times" means multiplying. 
Question 25 Explanation:
3x + 10
Once you are finished, click the button below. Any items you have not completed will be marked incorrect.
Get Results
There are 25 questions to complete.
← 
List 
→ 
Return
Shaded items are complete.
1  2  3  4  5 
6  7  8  9  10 
11  12  13  14  15 
16  17  18  19  20 
21  22  23  24  25 
End 
Return
You have completed
questions
question
Your score is
Correct
Wrong
PartialCredit
You have not finished your quiz. If you leave this page, your progress will be lost.
Correct Answer
You Selected
Not Attempted
Final Score on Quiz
Attempted Questions Correct
Attempted Questions Wrong
Questions Not Attempted
Total Questions on Quiz
Question Details
Results
Date
Score
Hint
Time allowed
minutes
seconds
Time used
Answer Choice(s) Selected
Question Text
All done
Need more practice!
Keep trying!
Not bad!
Good work!
Perfect!