Modded SAT Question Bank
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Test
Math
Domain
Algebra
Skill
Linear equations in two variables
Difficulty
Hard
ID: cb58833c
Modded SAT Question Bank by Abdullah Mallik

The line with the equation four fifths x, plus one third y, equals 1 is graphed in the xy‑plane. What is the x-coordinate of the x‑intercept of the line?

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Correct Answer:
Rationale

The correct answer is 1.25. The y-coordinate of the x-intercept is 0, so 0 can be substituted for y, giving four fifths x, plus one third times 0, equals 1. This simplifies to four fifths x, equals 1. Multiplying both sides of four fifths x, equals 1 by 5 gives 4 x equals 5. Dividing both sides of 4 x equals 5 by 4 gives x equals five fourths, which is equivalent to 1.25. Note that 1.25 and 5/4 are examples of ways to enter a correct answer.

Question Difficulty: Hard
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