# GED Math Practice Test 2: Algebra and Graphs

GED Math Practice Test 2: Algebra and Graph Functions. Prepare for your GED exam with our GED Math Practice Test 2. Use these resources to deepen your understanding of critical algebraic principles and graph functions. Our practice test will help you enhance your problem-solving skills and increase your confidence for the 2024 GED test.

Algebra and graph functions are fundamental components of the GED Math test. This section assesses your ability to solve algebraic equations, understand functions, and interpret and create graphs. Mastery of these topics is essential for solving complex mathematical problems and visualizing relationships between variables.

Algebra involves working with variables, constants, and algebraic expressions to solve equations and inequalities. Graph functions require you to understand how to plot functions on a coordinate plane, interpret graphs, and analyze the relationships between variables.

 Test Name GED Practice Test GED full form General Educational Development Subject Name Mathematics Mode of Exam Computer-based adaptive test Test Type Math Sample / Mock Test 2 Available Printable PDF YES (Download link is given below) Total Question (MCQs) 35 Available of Answers YES Explanation YES Topics Basic Math Geometry Basic Algebra Graphs and Function

## GED Math Practice Test 2

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GED Math Practice Test

General Educational Development
Test Subject:  Mathematical Reasoning
Test Type: Sample Questions and Answers
Total Questions: 50
Time Duration: N/A

1 / 50

1) On 5 successive days a deliveryman listed his mileage as follows: 135, 162, 98, 117, 216. If his truck averages 14 miles for each gallon of gas used, how many gallons of gas did he use during these 5 days?

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2) Parking meters in Springfield read: “12 minutes for 5¢. Maximum deposit 50¢.” What is the maximum time, in hours, that a driver may be legally parked at one of these meters?

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3) If AB = AC and m ∠A = 100°, what is the measure of ∠B in degrees?

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4) The Clothing Zone had a special sale on shirts. One style sold at $20 per shirt, and another group sold at$25 per shirt. If 432 shirts were sold at $20 and 368 shirts were sold at$25 each, the number of dollars taken in at the shirt sale may be represented as

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5) A hockey team won X games, lost Y games, and tied Z games. What fractional part of the games played were won?

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6) One-half the students at Madison High School walk to school. One-fourth of the rest go to school by bicycle. What part of the school population travels by some other means?

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7) Which of the following graphs shows the solution set for the inequality 2x > 4?

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8) An aquarium is in the form of a rectangular solid. The aquarium is 3 feet long, 1 foot 8 inches wide, and 1 foot 6 inches high. What is the volume, in cubic feet, of the aquarium?

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9) A flagpole casts a shadow 16 feet long. At the same time, a pole 9 feet high casts a shadow 6 feet long. What is the height, in feet, of the flagpole?

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10) The enrollment of a college is distributed as follows:

360 freshmen
300 sophomores
280 juniors
260 seniors

The freshman class makes up what percent of the total enrollment?

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11) A purse contains 6 nickels, 5 dimes, and 8 quarters. If one coin is drawn at random from the purse, what is the probability that the coin drawn is a dime?

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12) The leaders in the Peninsula Golf Tournament finished with scores of 272, 284, 287, 274, 275, 283, 278, 276, and 281. What is the median of these scores?

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13) Lee brings a bucket to soccer practice and fills it halfway with water. Approximately how many gallons does it hold?

1 cu. in. = .0043 gallon

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14) The scale on a map is 1 inch = 150 miles. The cities of Benton and Dover are 3 \frac{1}{2} inches apart on this map. What is the actual distance, in miles, between Benton and Dover? Mark your answer in the box below

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15) What is the perimeter of the figure?

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16) Kirsten wants to purchase a pair of car speakers. The list above indicates prices for each pair, not including the 1/3 discount. If she buys the 40-watt speakers at the discounted price and has them installed, what will her total bill be, including 8% sales tax?

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17) The Men’s Shop advertised a spring sale, including the following sale items.

ties: 3 for $42 shirts: 3 for$60
slacks: $32.75 per pair jackets:$158.45 each

What is the price of 6 ties, 3 shirts, 2 pairs of slacks, and 1 jacket?

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18) In which of the following lists are the numbers written in order from greatest to smallest?

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19) If an airplane completes its flight of 1,364 miles in 5 hours and 30 minutes, what is its average speed, in miles per hour?

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20) The distance between two heavenly bodies is 85,000,000,000 miles. This number, written in scientific notation, is

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21) What is the value of 3ab – x2y if a = 4, b = 5, y = 3, and x = 2?

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22) This circle graph shows how 180,000 wage earners in a certain city earned their livings during a given period.

The number of persons engaged in transportation in the city during this period was?

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23) A hiker walks 12 miles due north. Then he turns and walks 16 miles due east. At this point, how many miles is the hiker from his starting point?

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24) If \overline{\rm BF} bisects ∠ACB, \overline{\rm CD} bisects ∠ACB, m∠ACB=68° and m∠ACB=72°, then m∠BEC =?

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25) The dimensions of the hallway below are 6.5 ft. and 7.2 ft. If the area is to be covered with carpet at $2.10 per square foot, how much would carpeting for the hallway cost? 26 / 50 26) John weighed 192 pounds. His doctor put him on a diet, which enabled him to lose at least 4 pounds per month. What was John’s exact weight after 6 months on the diet? 27 / 50 27) Mr. Ames bought a bond for$10,000. The bond yields interest at 8 \frac{1}{2} % annually. If the interest is paid every 6 months, how much is each interest payment in dollars?

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28) Given the equation x² – x – 12 = 0, which of the following give(s) a complete solution of the equation?

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29) The ratio of men to women at a professional meeting was 9:2. If there were 12 women at the meeting. Which equation could be used to find the number of men at the meeting?

\frac{12}{x} = \frac{9}{2}

30 / 50

30) What is the slope of the line that passes through point A (2,1) and point B (4,7)?

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31) In a basketball game Bill scored three times as many points as Jim. Together they scored 56 points. How many points did Bill score?

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32) The graph shows the lengths of some famous rivers correct to the nearest hundred miles. Which one of the following statements is correct?

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33)

The graph shows receipts and expenses for the years indicated. The receipts are designated by shaded bars and the expenses by striped bars. The year in which receipts exceeded expenses by $100,000 was 34 / 50 34) If 1 pencil costs y cents, then 6 pencils will cost, in cents, 35 / 50 35) Mr. Martin earns$12 per hour. One week Mr. Martin worked 42 hours; the following week he worked 37 hours. Which of the following indicates the number of dollars Mr. Martin earned for the 2 weeks?

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36) Kwan’s recipe for lemonade requires 8 ounces of lemon juice for every quart of water used. To prepare for a large party, he uses 4 gallons of water. How much lemon juice is needed?

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37)

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38) Mrs. Garvin buys a bolt of cloth 22 feet 4 inches in length. She cuts the bolt into four equal pieces to make drapes. What is the length of each piece?

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39)

The graph shows the growth in population in Lincoln County between the years 1999 and 2007.

What was the population of Lincoln County in the year 2004?

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40)

The graph shows the growth in population in Lincoln County between the years 1999 and 2007.

The amount of population growth in Lincoln County between 1999 and 2000 was the same as which of the following?

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41) A box is in the form of a rectangular solid with a square base of side x units in length and a height of 8 units. The volume of the box is 392 cubic units. Which of the following equations may be used to find the value of x?

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42) There were three candidates at a school board election. Mrs. Clay received twice as many votes as Mr. Dunn, and Mr. Arnold received 66 votes more than Mr. Dunn. How many votes did Mrs. Clay receive?

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43)

If AB = AC, \overline{\rm AD} \overline{\rm BC} , and m∠B = 68°, what is the value of x ?

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44) What is the value of x?

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45) The square root of 30 is between which of the following pairs of numbers?

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46)

The radius of circle A measures 20 inches, and the radius of circle B measures 8 inches. If CD = 6 inches, find AB, in inches.

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47) The graph of a square is shown on the grid below.

What point is the location of the center of the square? Mark your answer from the drop down below.

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48) A woman buys n pounds of sugar at c cents a pound. She gives the clerk a \$10 bill. The change she receives, in cents, is

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49) If x = 10, each of the following is true EXCEPT

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50) Mr. Denby planned to build a house on the plot of ground shown. What is the area, in square feet, of this plot of ground?

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### In-depth Explanations of Concepts

#### Algebra

1. Variables and Constants: Variables represent unknown values, while constants are fixed values.
2. Algebraic Expressions: Combinations of variables, constants, and operations (addition, subtraction, multiplication, division).
3. Equations and Inequalities: Mathematical statements that show the equality or inequality between two expressions.
4. Solving Equations: Finding the value(s) of variables that make the equation true.
5. Systems of Equations: A set of two or more equations with the same variables. Solving systems involves finding the values that satisfy all equations simultaneously.

#### Graph Functions

1. Coordinate Plane: A two-dimensional plane defined by an x-axis (horizontal) and a y-axis (vertical).
2. Plotting Points: Identifying and marking points on the coordinate plane using ordered pairs (x, y).
3. Graphing Linear Functions: Representing linear equations in the form y = mx + b, where m is the slope and b is the y-intercept.
4. Slope and Intercept: Slope (m) represents the rate of change, while the y-intercept (b) is the point where the line crosses the y-axis.
5. Interpreting Graphs: Analyzing graphs’ shape, direction, and position to understand the relationships between variables.

### Practice Questions with Detailed Explanations

#### Algebra Example

Example 1: Solving a Linear Equation

Solve for x in the equation 2x+3=11.

(A) 2
(B) 3
(C) 4
(D) 5

Answer and Explanation: First, subtract 3 from both sides of the equation: 2x+3−3=11−3 2x=8 Next, divide both sides by 2: x=82 x=4 So, the correct answer is (C) 4.

#### Graph Functions Example

Example 2: Plotting a Linear Function

Question 2: Plot the linear function y=2x−1 on a coordinate plane. What is the y-intercept?

(A) -1
(B) 1
(C) 2
(D) -2

Answer and Explanation: The equation y=2x−1 is in the slope-intercept form y=mx+b, where m is the slope and b is the y-intercept. Here, b=−1. So, the correct answer is (A) -1.

Graph Explanation: Mark the y-intercept at (0, -1) on the coordinate plane to plot the function. Then, use the slope (2) to find another point. From (0, -1), move up 2 units and right 1 unit to reach (1, 1). Draw a line through these points to represent the function.

### Tips and Strategies for Answering Questions

#### Algebra Tips

1. Understand the Equation: Make sure you understand the structure of the equation before attempting to solve it.
2. Isolate the Variable: Use algebraic operations to isolate the variable on one side of the equation.
3. Check Your Solution: Substitute the solution into the original equation to verify its correctness.
4. Practice Different Types: Familiarize yourself with solving various equations, including linear, quadratic, and systems of equations.

#### Graph Functions Tips

1. Learn Key Formulas: Know the formulas for different types of functions, such as linear (y = mx + b) and quadratic (y = ax^2 + bx + c).
2. Plot Accurately: Ensure points are plotted accurately on the coordinate plane to create precise graphs.
3. Understand Slope and Intercept: Grasp the concepts of slope and y-intercept to interpret and graph linear functions effectively.
4. Analyze Graphs: Practice interpreting the meaning of graphs, including identifying trends, intercepts, and slopes.

Practice Question 3: Solve for y in the equation 3y−4=11.

(A) 3
(B) 5
(C) 6
(D) 7

Answer and Explanation: First, add 4 to both sides of the equation: 3y−4+4=11+4 3y=15 Next, divide both sides by 3: y=153 y=5 So, the correct answer is (B) 5.

Practice Question 4: Which point lies on the line represented by the equation y=−x+2?

(A) (1, 1)
(B) (2, 2)
(C) (0, 2)
(D) (-1, -1)

Answer and Explanation: Substitute the x-coordinate of each point into the equation y=−x+2 to see if the y-coordinate matches.

For (1, 1): y=−1+2=1 (Matches, so (A) is a correct point)

For (2, 2): y=−2+2=0 (Does not match)

For (0, 2): y=−0+2=2 (Matches, so (C) is also a correct point)

For (-1, -1): y=−(−1)+2=3 (Does not match)

Thus, the correct answers are (A) and (C).

Practice Question 5: Graph the function y=½x+3. What is the slope of the line?

(A) 1/2
(B) 3
(C) -1/2
(D) -3

Answer and Explanation: The equation y=12x+3 is in slope-intercept form y=mx+b, where m is the slope. Here, m=12. So, the correct answer is (A) 1/2.

Sample Math Tests

Equations and Inequalities

Exponents

Probability

Mean Median Mode

Ratio

Percentages

Algebraic Expressions

Fractions and Decimals

Integers

Pre-Algebra

Rational Numbers

Average

Age