Linear Equations in One Variable - Exam Preparation Guide

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Linear Equations in One Variable - Applications

Q. The difference between twice a number and 4 is 10. What is the number?

A. 5
B. 7
C. 8
D. 9

Solution

Let the number be x. The equation is 2x - 4 = 10. Adding 4 to both sides gives 2x = 14. Dividing by 2 gives x = 7.

Correct Answer: A — 5

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Q. The sum of a number and 12 is equal to 20. What is the number?

A. 6
B. 7
C. 8
D. 9

Solution

Let the number be x. The equation is x + 12 = 20. Subtracting 12 from both sides gives x = 8.

Correct Answer: A — 6

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Q. The sum of a number and 12 is equal to 25. What is the number?

A. 10
B. 12
C. 13
D. 15

Solution

Let the number be x. Then, x + 12 = 25. Subtracting 12 from both sides gives x = 13.

Correct Answer: C — 13

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Q. Twice a number decreased by 4 equals 10. What is the number?

A. 5
B. 7
C. 8
D. 9

Solution

Let the number be x. The equation is 2x - 4 = 10. Adding 4 gives 2x = 14, so x = 7.

Correct Answer: B — 7

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Q. Twice a number decreased by 5 equals 11. What is the number?

A. 8
B. 9
C. 10
D. 11

Solution

Let the number be x. The equation is 2x - 5 = 11. Adding 5 to both sides gives 2x = 16. Dividing by 2 gives x = 8.

Correct Answer: A — 8

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Q. Twice a number decreased by 7 equals 5. What is the number?

A. 6
B. 7
C. 8
D. 9

Solution

Let the number be x. The equation is 2x - 7 = 5. Adding 7 gives 2x = 12, so x = 6.

Correct Answer: C — 8

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