Free SAT Drill Linear Equation: 2V

Struggling with solving for x & y? Start with Linear Equations: Two Variables. Take a quick SAT practice test to improve your skills, tackle tougher problems, and discover your strengths.

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Linear equations in 2V

At a local community theater, adult tickets are sold for $12 each, and child tickets are sold for $8 each. If the total revenue from ticket sales was $1,248 and 48 adult tickets were sold, how many child tickets were sold?

A 48 B 60 C 72 D 84

Line p has an equation 2x + 5y = 10. Line q is parallel to line p and passes through the point (1, 10). Which of the following points also lie on line q?

A (6, 8) B (-6, 8) C (6, -8) D (-6, -8)

The x-intercept of the graph of 3x + 4y = 24 in the xy-plane is (x, 0). What is the value of x?

A 3 B 4 C 6 D 8

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How to solve questions from Linear Equations: 2V?

Equation Manipulation

Rewrite equations into the standard form (Ax+By=C) or slope-intercept form
(y=mx+b) to make solving and comparison easier.

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Algebraic Methods

Use substitution or elimination to solve systems (e.g., isolate one variable and substitute)

Real-World Application

Translate word problems into equations by identifying variables and relationships (e.g., "total cost" = fixed + variable costs)

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Why Linear Equations: 2V matters 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. Linear Equations, a key Algebra skill, appear frequently. Mastering this area boosts accuracy and offers a high-impact way to improve scores through targeted practice.

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Avoid These Mistakes In Linear Equations: 2V!

Slope Misinterpretation

Confusing positive/negative slopes or miscalculating rise/run ratios

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Intercept Errors

Mistaking x-intercepts for y-intercepts or vice versa

Algebraic Mistakes

Failing to distribute coefficients correctly or mishandling sign changes

Word Problem Missteps

Overlooking key details (e.g., units, constraints) when setting up equations

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