GED Math Practice 2
Reduce the following fraction: 33/9
A) 3 2/3
B) 4 1/3
C) 11/3
D) 3 - correct answer A) 3 2/3
Explanation: 33 divided by 9 is 3.6666, so you can pull out the whole number 3. Since 9 x 3 is 27, you
subtract 27/9 from the 33/9, which leaves 6/9. So when you remove the 3 (27/9), you are left with 3 6/9.
6/9 can be reduced by 3, making it 2/3. As a result, the answer is 3 2/3.
If 10x + 2 = 7, what is the value of 2x?
A) 10
B) 0.5
C) -0.5
D) 1 - correct answer D) 1
Explanation: First, solve the equation for x.
10x + 2 = 7
-2-2
10x = 5
x = 5/10
x = .5
, Then plug x into 2x. 2(.5) = 1, so 2x = 1.
Which of the following expressions is equivalent to 3𝑥(2 + 5𝑦)?
A) 3𝑥 + 5𝑦
B) 6𝑥 + 5𝑦
C) 6𝑥 + 15𝑦
D) 6𝑥 + 15𝑥𝑦 - correct answer D) 6x + 15xy
Explanation: 3x is being multiplied by (2 + 5y), so it has to be distributed to each part. 3x * 2 = 6x and 3x
* 5y = 15xy. Therefore, 3x(2 + 5y) = 6x + 15xy.
What is 9 - (-28)? - correct answer 37
Explanation: When subtracting a negative number, you actually just add the positive version of the
number. In other words, 9 - (-28) becomes 9 + 28, which equals 37.
What is -12 - (-12)? - correct answer 0
Explanation: When subtracting a negative number, you actually just add the positive version of the
number. In other words, -12 - (-12) becomes -12 + 12. Since you are adding the positive and negative
versions of the same number, they balance out to become 0.
What is -12/-4? - correct answer 3
Explanation: When dividing a negative number by a negative number, the two negatives cancel each
other out and the answer becomes positive. Therefore, we can get rid of both negatives in this problem
and are left with 12/4, which is 3.
What is 10% of 500? - correct answer 50
Reduce the following fraction: 33/9
A) 3 2/3
B) 4 1/3
C) 11/3
D) 3 - correct answer A) 3 2/3
Explanation: 33 divided by 9 is 3.6666, so you can pull out the whole number 3. Since 9 x 3 is 27, you
subtract 27/9 from the 33/9, which leaves 6/9. So when you remove the 3 (27/9), you are left with 3 6/9.
6/9 can be reduced by 3, making it 2/3. As a result, the answer is 3 2/3.
If 10x + 2 = 7, what is the value of 2x?
A) 10
B) 0.5
C) -0.5
D) 1 - correct answer D) 1
Explanation: First, solve the equation for x.
10x + 2 = 7
-2-2
10x = 5
x = 5/10
x = .5
, Then plug x into 2x. 2(.5) = 1, so 2x = 1.
Which of the following expressions is equivalent to 3𝑥(2 + 5𝑦)?
A) 3𝑥 + 5𝑦
B) 6𝑥 + 5𝑦
C) 6𝑥 + 15𝑦
D) 6𝑥 + 15𝑥𝑦 - correct answer D) 6x + 15xy
Explanation: 3x is being multiplied by (2 + 5y), so it has to be distributed to each part. 3x * 2 = 6x and 3x
* 5y = 15xy. Therefore, 3x(2 + 5y) = 6x + 15xy.
What is 9 - (-28)? - correct answer 37
Explanation: When subtracting a negative number, you actually just add the positive version of the
number. In other words, 9 - (-28) becomes 9 + 28, which equals 37.
What is -12 - (-12)? - correct answer 0
Explanation: When subtracting a negative number, you actually just add the positive version of the
number. In other words, -12 - (-12) becomes -12 + 12. Since you are adding the positive and negative
versions of the same number, they balance out to become 0.
What is -12/-4? - correct answer 3
Explanation: When dividing a negative number by a negative number, the two negatives cancel each
other out and the answer becomes positive. Therefore, we can get rid of both negatives in this problem
and are left with 12/4, which is 3.
What is 10% of 500? - correct answer 50
