This is the first of our free GED Math practice tests, and it has now been updated to reflect the new 2014 GED test. 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 detailed explanation. Get started on your test prep right now with this GED Math practice test.

*Directions: **Solve each problem. You may use your calculator as needed. You may also refer to the formula sheet at the bottom of the page.*

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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 |

If the following fractions were arranged on a number line from least to greatest, what will be correct order of arrangement?

Question 7 Explanation:

If we convert the original fractions to decimals, we get

The correct order of these decimals on the number line is: 1.4, 1.5, 2.75, 3.75, and 4.33.

The correct order of these decimals on the number line is: 1.4, 1.5, 2.75, 3.75, and 4.33.

Question 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.

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