Question 1
Simplify the surd expression sqrt(50) + sqrt(18) - sqrt(8).
Correct Answer:
6*sqrt(2)
Question 2
Rationalise the denominator of 1/(sqrt(5) - sqrt(3)).
Correct Answer:
(sqrt(5) + sqrt(3))/2
Question 3
In a proof by mathematical induction of a proposition P(n) for all positive integers n, what must be shown in the inductive step?
Correct Answer:
If P(k) is true for a positive integer k, then P(k+1) is true
Question 4
By mathematical induction the sum 1 + 2 + 3 + ... + n equals which closed form for all positive integers n?
Correct Answer:
n(n+1)/2
Question 5
Using the Binomial Theorem, what is the coefficient of x^3 in the expansion of (1 + x)^6?
Correct Answer:
20
Question 1
Exam overview

About this Exam

The GED (General Educational Development) test provides adults who didn't finish high school the opportunity to earn an equivalent credential. It's a rigorous assessment recognized by employers and colleges across the United States and Canada. The Mathematical Reasoning section is often considered one of the most challenging parts. This specific practice test, focused on GED Math Practice Test 2: Algebra and Graphs, is designed to help you master the crucial algebraic concepts and graphing skills that make up a significant portion of the actual exam. Whether you're aiming for higher education, a better job, or personal fulfillment, conquering this section is a key step forward.

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Additional Information

What the Course Entails and Exam Details

This practice test focuses specifically on the Algebra and Graphing topics covered in the GED Mathematical Reasoning subject test. You will need a strong understanding of algebraic thinking to succeed.

The core topics you must master include:

  • Simplifying Algebraic Expressions: Combining like terms, multiplying polynomials, and using the distributive property.

  • Solving Linear Equations: Solving one-step, multi-step, and variables-on-both-sides equations.

  • Solving Inequalities: Understanding inequality symbols, solving linear inequalities, and graphing their solutions on a number line.

  • Linear Equations and Functions: Calculating slope from two points or an equation, identifying x- and y-intercepts, writing equations in slope-intercept form (y = mx + b), and understanding functional notation.

  • Graphing Linear Equations: Plotting points on the coordinate plane, graphing lines using slope and a point or intercepts.

  • Interpreting Graphs and Data: Analyzing various graph types (line graphs, bar graphs, scatter plots) to find patterns, make predictions, and interpret real-world data represented algebraically.


What to Expect in the Final Exam

The official GED Mathematical Reasoning test is approximately 115 minutes long, divided into two parts. You are allowed to use a TI-30XS scientific calculator for the second (longer) part of the math test. The first section consists of a few questions where a calculator is not permitted to test basic numerical fluency.

You will encounter various question types on the exam, including:

  • Multiple-Choice: Selecting the correct answer from four options.

  • Drag-and-Drop: Moving items to correct locations (often used for classifying expressions or matching graphs).

  • Hot Spot: Clicking on a specific part of a graph or diagram to answer a question.

  • Fill-in-the-blank: Typing in numerical answers.

To pass the GED test, you need to score at least 145 on each of the four subject tests (Mathematical Reasoning, Reasoning Through Language Arts, Social Studies, and Science).


How to Study and Exam Centers

Consistent practice is the most effective way to prepare for the GED Math test.

  • Practice Frequently: Dedicate time each day or week to solving algebraic equations, working with inequalities, and interpreting various types of graphs.

  • Master the Calculator: Since you can use the TI-30XS calculator for most of the test, become intimately familiar with its functions, especially how to enter fractions, exponents, and perform operations efficiently.

  • Focus on Your Weaknesses: Use practice tests like this one to identify specific areas where you struggle (e.g., solving systems of equations or interpreting scatter plots) and devote extra study time to those topics.

  • Review Basic Math Skills: Ensure your foundation in fractions, decimals, percentages, and basic operations is solid, as these are prerequisites for algebra.

To take the official GED test, you must register through the official GED.com website. From there, you can schedule your testing appointment. The exam is administered at official Pearson VUE testing centers located in schools, community colleges, and dedicated testing facilities. Depending on your location and state regulations, an online-proctored testing option may also be available.


Job Opportunities from the Course

Earning your GED credential opens up significant career and educational opportunities. Many employers require a high school diploma or equivalent for entry-level positions. Completing your GED demonstrates dedication, perseverance, and essential academic skills to potential employers.

Here are some career paths and opportunities unlocked by earning your GED:

  • Entry-level administrative and clerical roles.

  • Positions in customer service and sales.

  • Opportunities in healthcare support (e.g., nursing assistants, medical receptionists).

  • Jobs in manufacturing, logistics, and transportation.

  • Eligibility for many vocational and technical training programs.

  • Qualification for admission to community colleges and many four-year universities.

  • Enlistment opportunities in the U.S. Armed Forces.

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