Already started GMAT preparation, and now if you are facing issues in the quantitative reasoning section? Start your quantitative reasoning section practice with GRE algebra problems. Algebra GRE questions consist of 25% of your quantitative reasoning score. The total GRE quantitative reasoning score ranges on a scale of 130 to 170. You will face 7 different types of topics in GRE algebra questions.

You will face GRE algebra concepts like operations with exponents, factoring, and simplifying algebraic expressions, relations, functions, equations, and inequalities. Solving linear, simultaneous, and quadratic equations and inequalities, and setting up equations to solve word problems are some GRE algebra question topics. There are in total of 27 questions in GRE quantitative section. If you are facing GRE word problems, practice converting a real-life scenario into an algebraic equation and solving for the unknown value.

If you are a weak student in math, then you might face issues in GRE quantitative reasoning section. Books are one of the best options to understand the formula, and you also get practice questions with solved answers. Official GRE Practice Questions, Kaplan GRE Math Book, and Manhattan Prep 5 LB are some of the best books for GRE algebra. You also can practice GRE algebra concepts by taking mock tests, and by reading your academic level math formulas. Various websites and online GRE coaching offer comprehensive study plans, tips, and strategies for the exam.

GRE Algebra Question Types

The GRE Algebra question has a huge range. There are many types of questions that might appear in GRE exam Arithmetic section. It is best for the candidates to follow GRE algebra practice questions for preparation. The question types are:

• GRE Algebraic Expressions: These question types comprises one or more variables which are written as a single or a sum of terms.
• GRE Algebra Basic Equations: Candidates must formulate tables by deriving information from the given equation and then by solving the question.
• GRE Algebra Rules of Exponents and Radicals
• GRE Algebra Solving Equations in One Variable: Candidates need to solve an unknown equation with multiple variables.
• GRE Algebra Linear/Quadratic Inequalities
• GRE Algebra Simultaneous Equations in Two Variables: There are sums with multiple variables incorporating substitution and elimination methods.
• GRE Algebra Word Problems: Each word problem has different solving methods with a unique Algebra GRE strategy guide.
• GRE Algebra Coordinate Geometry: Here, two actual number lines perpendicular to each other intersect at zero points.
• To solve equations, GRE Algebra Functions and Their Graphs: Numbers are stated here.
• GRE Algebra Symbolism: Numerous symbols here require simple substitution for easy solving.
• GRE Algebra Sequences: A list of values and numbers is given in a sequence, thus recognized by its position.

Focus of GRE Algebra

GRE Algebra section comprises at least 25% of the question of math section GRE syllabus section. Candidates need to practice all kinds of GRE Algebra questions since the questions are tricky. The areas where the candidates need to focus are:

• Linear Algebra
• Abstract Algebra
• Elementary Algebra
• Number theory

Here are a few GRE algebra practise questions:

GRE Inequalities Questions

Inequalities, on the other hand, involve comparing two values using symbols such as <, >, ≤, and ≥. Inequalities GRE questions may require students to solve for the range of values that satisfy an inequality or to compare two different inequalities.

Determine the inequality: 3x + 2 8x - 4
Determine the range of x values that satisfy the inequality: -2x + 5 > 7
Consider the following disparities: 2x - 3 ≤ 4 and 5x + 1 > 16

GRE Word Problem Questions

GRE word problems are a type of quantitative reasoning question in which you are asked to solve real-world problems by applying mathematical concepts. These questions require you to read and comprehend a written scenario before translating it into an algebraic equation or formula to solve for an unknown value. Effective GRE preparation must include solving word problem questions . Here's an illustration of a GRE word problem:

A car rental company will charge you a flat fee of $25 per day plus $0.30 per mile driven. If a customer drives 120 miles in a day, how much will they pay in total for the rental?
Solution: Let x be the total rental cost and y be the number of miles driven. The following equation can be used:
x = 25 + 0.30y
When we substitute y = 120, we get: x = 25 + 0.30 (120)
x = 25 + 36
x = 61

As a result, the customer will pay a total of $61 for the rental.

GRE Quantitative Comparison

These questions ask candidates to compare two quantities and determine which is greater. Students must choose the correct answer from a list of options in multiple choice questions. Numeric entry questions require you to enter a numerical response. GRE Data analysis questions require students to examine graphics and answer questions about them.

Below are some example questions to help practice:

1. What is the value of t if: 3 x 2 + tx - 21 = (3x - 3) (x + 7)?[1]

1. 18
2. -3
3. -18
4. 24
5. 21

Answer: A. 18

2. What is the value of x if: (x + 4) (x - 2) = x2 - 6x + 8?[2]

1. -2
2. 2
3. -4
4. 4
5. 6

Answer: B. 2

Simultaneous Equations in Two Variables

These questions can be tricky when there are multiple equations in more than one variable. There are a couple of trusted techniques to remember, such as substitution or elimination, which you can read about in Systems of Equations on the GRE.
Example (QC) :
2x – 3y = -4
x + y = 13

Answer: Quantity A is larger.
Explanation: Solve the system—we’ll use substitution for this one. The second equation can be rearranged to: x = 13 – y. Substitute that into the first equation and solve.
2(13-y) – 3y = -4
26 – 2y – 3y = -4
-5y = -4 – 26 = -30
y = -30/-5 = 6

Then find x by back-substituting: x = 13 – 6 = 7. Thus ,(a,b)=(7,6) , and so a/b = 7/6 > 1

GRE Algebra Sequences Questions

Sequences are a list of numbers and the value of a number in a sequence is recognized by its position. It is generally presented as:
s s₂, s₃,…sn,…

Example: A sequence is defined by the following formula:
S1 =12
What is the 4th element of this sequence?
Possible Answers:

1. 41
2. 1172
3. 389
4. 29
5. 145

Basic GRE Algebra Illustrations

GRE algebra questions test candidates' understanding of basic algebraic concepts and skills. This includes linear equations, quadratic equations, functions, exponents, and more. Your GRE preparation time include practice basic algebra illustrations. Here's an illustration of a basic GRE algebra question:

What is the value of x + y if 2x + 3y = 10 and 4x - 2y = 8?
Solution: To find the value of x + y, we must first solve for x and then add them together. Here's how to do it:
Step 1: In the first equation, solve for x.
2x + 3y = 10
2x = 10 - 3y
x = 5 - (3/2)y

Step 2: In the second equation, solve for x.
4x - 2y = 8
4x = 8 + 2y
x = 2 + (1/2)y

Step 3: Set the two expressions for x equal to each other and solve for y
5 - (3/2)y = 2 + (1/2)y
3y = 6
y = 2

Step 4: Substitute y = 2 into either of the expressions for x and solve for x
x = 2 + (1/2)
x = 2 + (1/2)(2)
x = 3

Step 5: Add x and y together
x + y = 3 + 2
x + y = 5

Therefore, the value of x + y is 5.