This is the first of our free GED Math practice tests, and it has been fully updated to reflect the new GED Test that was rolled out in 2014. To prepare for your GED Math test you will want to work through as many practice questions as possible. After you answer each question, the correct answer will be provided along with a very detailed explanation. Get started on your test prep right now with this GED Math practice test.

*Directions:**Solve each problem and select the best answer. You may use your calculator. You may also refer to the GED Formula Sheet as needed.*

Congratulations - you have completed .
You scored %%SCORE%% out of %%TOTAL%%.
Your performance has been rated as %%RATING%%

Your answers are highlighted below.

Question 1 |

Devon owns a house cleaning company and has to give price quotes to potential customers. He figures out his price by assuming a $25 base charge and then adding $8 for each bathroom and $4 for each other room. If he uses

*P*to represent the price and*B*for bathroom and*R*for other rooms, which of these represents his price quote formula?P = 25 + 12(BR) | |

P = 4R + 8B + 25 | |

P = 25(4R + 8B) | |

P = (4)(8)(R + B) + 25 |

Question 1 Explanation:

To find the price you need to multiply the number of other rooms by 4 and multiply the number of bathrooms by 8. Then add these together and add in the $25 base charge to get the total price.

Question 2 |

Which point has been marked on this coordinate plane?

(5,-5) | |

(4,-5) | |

(-5,4) | |

(5,-4) |

Question 2 Explanation:

The horizontal line is the x axis and the vertical line is the y axis. A point in a coordinate plane is written as (x, y). The first number is the position on the x axis and the second is the position on the y axis.

Question 3 |

Given ƒ(

*x*) = 2*x*^{2}− 3*x*+ 7, find ƒ(2.5)5 | |

12 | |

19 | |

24.5 |

Question 3 Explanation:

This is a function problem. A function relates an input to an output. All you have to do to solve this is substitute 2.5 for

2(2.5)

2(6.25) − 7.5 + 7

12.5 − 7.5 + 7

12

*x*:2(2.5)

^{2}− 3(2.5) +72(6.25) − 7.5 + 7

12.5 − 7.5 + 7

12

Question 4 |

Solve 5

*x*+ 8 < 3(*x*+ 2)x < −1 | |

x < −3 | |

x > 1 | |

x > −¾ |

Question 4 Explanation:

5

5

2

2

*x*+ 8 < 3(*x*+ 2)5

*x*+ 8 < 3*x*+ 62

*x*+ 8 < 62

*x*< −2*x*< −1Question 5 |

Simplify (

*x*^{6})(*x*^{5})2 x^{11} | |

2 x^{30} | |

x^{11} | |

x^{30} |

Question 5 Explanation:

When multiplying exponents with the same base, you should add the exponents:

(

=

(

*x*^{6}) (*x*^{5}) =*x*^{5+6}=

*x*^{11}Question 6 |

The area of the circle shown below is 100

*π*. What is the diameter (D) of the circle?10 | |

20 | |

30 | |

40 |

Question 6 Explanation:

To solve this problem use the formula for the area of a circle, and then solve for the radius. The diameter is twice the radius.

Question 7 |

Max struggled with his math class early in the year but he has been working hard to improve his scores. There is one test left, and he is hoping that his final average test score is 75. What score he will need to get on Test 6 to finish the year with an average score of 75?

75 | |

85 | |

92 | |

100 |

Question 7 Explanation:

To get the average of a set of numbers, add up the numbers and then divide this sum by the total number of numbers. In this case we are missing one of the numbers so we will use an

75 = (50 + 52 + 77 +88 + 91 +

Now solve for

75 = (358 +

Next simplify the expression by multiplying both sides by 6:

450 = 358 +

The last step is to subtract 358 from both sides:

*x*to symbolize the missing number:75 = (50 + 52 + 77 +88 + 91 +

*x*) ÷ 6Now solve for

*x*. Start with the addition:75 = (358 +

*x*) ÷ 6Next simplify the expression by multiplying both sides by 6:

450 = 358 +

*x*The last step is to subtract 358 from both sides:

*x*= 92Question 8 |

If

*a*= −4, and*b*= 3, what is |*a*−*b*|?1 | |

3 | |

4 | |

7 |

Question 8 Explanation:

|a − b| is the distance between “a” and “b” on the number line. The distance between −4 and 3 on the number line is 7. Alternatively we can apply the definition of the absolute value to answer the question:

|X| = X if x >0

|X| = −X if x<0

a – b = −4 − 3

a − b = −7

|−7| = − (−7) since −7 < 0

|−7| = 7

|X| = X if x >0

|X| = −X if x<0

a – b = −4 − 3

a − b = −7

|−7| = − (−7) since −7 < 0

|−7| = 7

Question 9 |

Which of the following graphs is the graph of the equation

*y*= 2*x*+ 1?Question 9 Explanation:

The graph of

*y*= 2*x*+ 1 has a y-intercept of 1 and a slope of +2. The correct answer is the only graph with a y-intercept is 1.Question 10 |

What is the probability of selecting a male from a group of 4 males and 8 females?

Question 10 Explanation:

To find the probability of selecting a male, you need to divide the total number of males by the total number of people.

Once you are finished, click the button below. Any items you have not completed will be marked incorrect.

There are 10 questions to complete.

List |

**Next Test:**

**GED Math Practice Test 2 >>**