Modded SAT Question Bank
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Test
Math
Domain
Algebra
Skill
Linear equations in two variables
Difficulty
Easy
ID: 12ae3452
Modded SAT Question Bank by Abdullah Mallik

The equation 46=2a+2b gives the relationship between the side lengths a and b of a certain parallelogram. If a=9, what is the value of b?

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Correct Answer: 14
Rationale

The correct answer is 14. It's given that the equation 46=2a+2b gives the relationship between the side lengths a and b of a certain parallelogram. Substituting 9 for a in the given equation yields 46=29+2b, or 46=18+2b. Subtracting 18 from both sides of this equation yields 28=2b. Dividing both sides of this equation by 2 yields 14=b. Therefore, if a=9, the value of b is 14.

Question Difficulty: Easy
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