# [20 Test Answers] GED Math Reviewer pt. 1

Here is Part-1 of our free GED Reviewer for Mathematics. Get a sense of what's coming with these 20 questions.

Topics included in this portion of the exam are quantitative and algebraic problem-solving, geometry, data analysis, and data sense. The goal is to measure your mathematical knowledge and problem-solving skills.

Get a sense of the test questions by answering the quiz below. In the actual, the test may include multiple-choice, drag-and-drop, and fill-in-the-blank questions. This is Part-1 of our free GED reviewer for Mathematics.

Direction: Solve each problem and select the best answer. You may use your calculator and use the Mathematics Formula Sheet as needed.

Question 1. Simplify $$\mathbf{(x^4+2)(x^3-8)}$$.
A. $$x^7+8x^4+2x^6-16$$
B. $$x^7 – 8x^4 + 2x^3 – 16$$✅
C. $$x^7-8x^4-2x^3-16$$
D. $$-x^7+8x^4+2x^3+16$$

Question 2. Solve $$\mathbf{4x – 7 > 2(x + 1)}$$.
A. $$x > 4$$
B. $$x < 4$$
C. $$x < -4$$
D. $$x > -4$$✅

Question 3. Given $$\mathbf{f(x) = x^2 − 4x + 6}$$, where $$\mathbf{x = 3.5}$$.
A. 2.25✅
B. 0.25
C. 0.5
D. 1.75

Question 4. Find the x and y axis of the given plane coordinate below.

A. (-6, 5)
B. (-5, 6)
C. (6, -5)✅
D. (5, -6)

Question 5. Sandy is a math tutor and charges $30 for an initial consultation and then$20 per hour for each tutoring session. If S represents the total cost of tutoring for a certain number of hours, and H represents the number of tutoring hours, which of the following represents the cost formula for tutoring with Sandy?
A. S = 20H + 10
B. S = 30H + 20
C. S = 20H + 30
D. S = 20H + 30✅

Question 6. In a jar, there are 6 green marbles, 3 red marbles, and 1 blue marble. If one marble is selected at random, what is the probability that it will be green?
A. $$\frac{1}{2}$$✅
B. $$\frac{1}{3}$$
C. $$\frac{1}{6}$$
D. $$\frac{1}{8}$$

Question 7. How are you going to describe the equation $$\mathbf{y = -3x + 2}$$ when plotted in a graph?
A. A line that slopes upward from left to right
B. A line that slopes downward from left to right ✅
C. A horizontal line that intersects the y-axis at 2
D. A vertical line that intersects the x-axis at 2

Question 8. If $$\mathbf{c = 5}$$ and $$\mathbf{d = -2}$$, what is $$\mathbf{|c + d|}$$?
A. 5
B. 3 ✅
C. 7
D. 2

Question 9. Sam has taken 5 tests so far and has an average score of 80. He wants to raise his average to 85. What score will he need to get on Test 6 to achieve this goal?
A. 85
B. 90
C. 95
D. 100✅

Question 10. The area of the circle shown below is 100π. What is the diameter (D) of the circle?

A. 10
B. 20✅
C. 30
D. 40

Question 11. Which of the following is equivalent to $$\mathbf{(4a – 2b)(3a + 5b)}$$?
A. $$12a^2 – 6b^2$$
B. $$12a^2 + 2ab – 10b^2$$
C. $$10a^2 + 4ab – 15b^2$$✅
D. $$7a^2 + 3ab – 8b^2$$

Question 12. Each side of the figure below is 12 in. long. What is the area of this shape?

A. 5 ft2
B. 12 ft2
C. 6 ft2
D. 36 ft2

Question 13. The following data set is given: 122, 130,  145,  154,  165,  178. Adding which number to the set will increase its mean?
A. 150✅
B. 148
C. 145
D. 140

Erica’s income and expenditures for the first five months of the year 2020 are given in the table below:

Question 14. In which two months were her savings the highest?
A. January and March
B. March and May✅
C. February and March
D. January and February

Question 15. In Parkville High School, 60% of students are enrolled in a sports team. If the total number of students is 800, how many students are not enrolled in a sports team?
A. 400
B. 360
C. 320✅
D. 510

Question 16. Jake filled his car with 15 gallons of gas at $3.15 per gallon. If there is a flat service charge of$2.50 per car fill-up, what was his total cost?
A. $47.50 B.$51.25
C. $53.50 D.$49.75✅

Question 17. Jenny is taking a vacation to Florida. She travels 70 kilometers per hour for 2 hours and 63 kilometers per hour for 5 hours. Over the 7-hour time period, what was Jenny’s average speed?
A. 65 km/h✅
B. 64 km/h
C. 66 km/h
D. 67 km/h

Question 18. If the sides of this cube are 4 inches long, what is the cube’s volume?

A. 32 in3
B. 48 in3
C. 64 in3
D. 24 in3

Question 19. Julia earns $12 per hour and worked 35 hours last week. Thomas earns$15 per hour. How many hours would Thomas need to work to earn the same amount as Julia did last week?
A. 30 hrs.✅
B. 25 hrs.
C. 35 hrs.
D. 40 hrs.

Question 20. A clothing manufacturer produces 10,000 T-shirts. The company randomly selects 500 T-shirts to inspect for defects. The inspection reveals that 25 T-shirts are defective. Based on the sample, how many of the total T-shirts produced are likely to be defective?
A. 1000
B. 1,500
C. 500✅
D. 600