Free SAT System of Equations Mock

Solving two equations at once is like mathematical juggling for geniuses! Take a quick SAT practice test on System of Equations to level up your skills, tackle tougher problems, and discover your strengths

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System of Equations

The system of equations is:

7x − 3y = 14
3x − 7y = 9

If the system of equations above has solution (x, y), what is the value of x + y?

A -23 B 5/4 C 23/10 D 5

The system of equations is:

4p + 3q = 25
6p − 3q = 15

The solution to the given system of equations is (p, q). What is the value of p?

A 3 B 4 C 6 D 10

Simran earns $3,000 each month. She spends a part of her income and saves the rest. The amount Simran spends is $600 more than two times the amount she saves. How much does Simran save each month?

A $800 B $1000 C $1800 D $2200

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How to solve questions from System of Equations?

Substitution method

Isolate one variable in either equation, then substitute that expression into the other equation to solve for the remaining variable.

Elimination method

Multiply both equations by constants to align coefficients of one variable, then add/subtract the equations to eliminate variables.

Graphing approach

Identify the point of intersection of the two lines, which represents the solution to the system.

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Why System of Equations matter for SAT?

EdisonOS conducted a detailed Bluebook analysis to help tutors design SAT tests mirroring official Bluebook test challenges. Findings show Algebra dominates SAT Math, and System of Equations share 2-4 questions with other key skills, making it essential for students to include all Algebra topics in their study plan.

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Avoid These Common Mistakes In System of Equations!

Sign Errors

Students frequently make arithmetic errors when transferring terms between equations, especially with negative numbers

Method Mismatches

Choosing an inefficient solution method for the specific problem structure wastes valuable test time

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Partial Solutions

Many students solve for only one variable and forget to find the value of the second variable

Misreading Context

Test-takers often miss identifying real-world applications requiring systems of equations in word problems

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