Linear Equations in One Variable - Exam Preparation Guide

Linear Equations in One Variable - Applications

Q. A number decreased by 7 is equal to 3. What is the number?

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

Solution

Let the number be x. The equation is x - 7 = 3. Adding 7 to both sides gives x = 10.

Correct Answer: A — 8

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Q. A number is decreased by 4 and then multiplied by 3. The result is 18. What is the number?

A. 8
B. 10
C. 6
D. 7

Solution

Let the number be x. Then, 3(x - 4) = 18. Dividing by 3 gives x - 4 = 6. Adding 4 gives x = 10.

Correct Answer: A — 8

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Q. A number is decreased by 9 and then multiplied by 2 to give 10. What is the number?

A. 14
B. 15
C. 16
D. 17

Solution

Let the number be x. The equation is 2(x - 9) = 10. Dividing by 2 gives x - 9 = 5, so x = 14.

Correct Answer: A — 14

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Q. A number is decreased by 9 and then multiplied by 4 to give 28. What is the number?

A. 5
B. 7
C. 9
D. 11

Solution

Let the number be x. The equation is 4(x - 9) = 28. Dividing by 4 gives x - 9 = 7, so x = 16.

Correct Answer: C — 9

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Q. A number is divided by 2 and then increased by 3. The result is 10. What is the number?

A. 10
B. 14
C. 12
D. 8

Solution

Let the number be x. Then, x/2 + 3 = 10. Subtracting 3 from both sides gives x/2 = 7. Multiplying by 2 gives x = 14.

Correct Answer: B — 14

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Q. A number is divided by 2 and then increased by 6 to equal 10. What is the number?

A. 4
B. 6
C. 8
D. 10

Solution

Let the number be x. The equation is (x / 2) + 6 = 10. Subtracting 6 from both sides gives x / 2 = 4. Multiplying by 2 gives x = 8.

Correct Answer: A — 4

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Q. A number is divided by 2 and then increased by 6 to get 10. What is the number?

A. 4
B. 6
C. 8
D. 10

Solution

Let the number be x. The equation is (x / 2) + 6 = 10. Subtracting 6 from both sides gives x / 2 = 4. Multiplying by 2 gives x = 8.

Correct Answer: C — 8

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Q. A number is divided by 2 and then increased by 7 to equal 15. What is the number?

A. 10
B. 12
C. 14
D. 16

Solution

Let the number be x. The equation is x/2 + 7 = 15. Subtracting 7 gives x/2 = 8, so x = 16.

Correct Answer: A — 10

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Q. A number is divided by 4 and then increased by 6 to equal 10. What is the number?

A. 8
B. 12
C. 16
D. 20

Solution

Let the number be x. The equation is x/4 + 6 = 10. Subtracting 6 from both sides gives x/4 = 4. Multiplying by 4 gives x = 16.

Correct Answer: A — 8

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Q. A number is increased by 5 and then multiplied by 3 to give 24. What is the number?

A. 1
B. 3
C. 5
D. 7

Solution

Let the number be x. The equation is 3(x + 5) = 24. Simplifying gives 3x + 15 = 24. Subtract 15 from both sides: 3x = 9. Dividing by 3 gives x = 3.

Correct Answer: B — 3

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Q. A number is increased by 5 and then multiplied by 3. The result is 24. What is the number?

A. 1
B. 3
C. 5
D. 7

Solution

Let the number be x. The equation is 3(x + 5) = 24. Simplifying gives 3x + 15 = 24. Subtracting 15 from both sides gives 3x = 9. Dividing by 3 gives x = 3.

Correct Answer: B — 3

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Q. A number is multiplied by 3 and then decreased by 5. The result is 16. What is the number?

A. 7
B. 5
C. 10
D. 8

Solution

Let the number be x. Then, 3x - 5 = 16. Adding 5 to both sides gives 3x = 21. Dividing by 3 gives x = 7.

Correct Answer: A — 7

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Q. A number is multiplied by 4 and then decreased by 8 to equal 16. What is the number?

A. 4
B. 6
C. 8
D. 10

Solution

Let the number be x. The equation is 4x - 8 = 16. Adding 8 to both sides gives 4x = 24. Dividing by 4 gives x = 6.

Correct Answer: C — 8

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Q. A number is subtracted from 15 and the result is 9. What is the number?

A. 4
B. 5
C. 6
D. 7

Solution

Let the number be x. The equation is 15 - x = 9. Subtracting 15 from both sides gives -x = -6. Multiplying by -1 gives x = 6.

Correct Answer: B — 5

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Q. A number is tripled and then increased by 2 to equal 20. What is the number?

A. 5
B. 6
C. 7
D. 8

Solution

Let the number be x. The equation is 3x + 2 = 20. Subtracting 2 gives 3x = 18, so x = 6.

Correct Answer: B — 6

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Q. A rectangle's length is 3 times its width. If the perimeter is 48 cm, what is the width?

A. 4 cm
B. 6 cm
C. 8 cm
D. 10 cm

Solution

Let the width be x. Then, length = 3x. The perimeter is 2(length + width) = 48. So, 2(3x + x) = 48. Simplifying gives 8x = 48, thus x = 6 cm.

Correct Answer: C — 8 cm

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Q. A rectangle's length is 3 times its width. If the perimeter is 48, what is the width?

A. 4
B. 6
C. 8
D. 10

Solution

Let the width be w. Then the length is 3w. The perimeter is 2(w + 3w) = 48. Simplifying gives 8w = 48. Dividing by 8 gives w = 6.

Correct Answer: B — 6

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Q. If 3 times a number plus 4 equals 19, what is the number?

A. 3
B. 5
C. 6
D. 7

Solution

Let the number be x. The equation is 3x + 4 = 19. Subtracting 4 from both sides gives 3x = 15. Dividing by 3 gives x = 5.

Correct Answer: B — 5

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Q. If 4 times a number decreased by 2 equals 10, what is the number?

A. 2
B. 3
C. 4
D. 5

Solution

Let the number be x. The equation is 4x - 2 = 10. Adding 2 to both sides gives 4x = 12. Dividing by 4 gives x = 3.

Correct Answer: C — 4

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Q. If 4 times a number is increased by 6, the result is 30. What is the number?

A. 6
B. 7
C. 8
D. 5

Solution

Let the number be x. Then, 4x + 6 = 30. Subtracting 6 from both sides gives 4x = 24. Dividing by 4 gives x = 6.

Correct Answer: B — 7

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Q. If 5 times a number is decreased by 2, the result is 18. What is the number?

A. 4
B. 5
C. 6
D. 7

Solution

Let the number be x. Then, 5x - 2 = 18. Adding 2 to both sides gives 5x = 20. Dividing by 5 gives x = 4.

Correct Answer: C — 6

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Q. If a number is multiplied by 3 and then increased by 4, the result is 19. What is the number?

A. 5
B. 6
C. 7
D. 8

Solution

Let the number be x. The equation is 3x + 4 = 19. Subtracting 4 gives 3x = 15, so x = 5.

Correct Answer: B — 6

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Q. If a number is multiplied by 3 and then increased by 9, the result is 30. What is the number?

A. 5
B. 6
C. 7
D. 8

Solution

Let the number be x. The equation is 3x + 9 = 30. Subtracting 9 from both sides gives 3x = 21. Dividing by 3 gives x = 7.

Correct Answer: B — 6

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Q. If a number is multiplied by 4 and then increased by 8, the result is 32. What is the number?

A. 4
B. 6
C. 8
D. 5

Solution

Let the number be x. Then, 4x + 8 = 32. Subtracting 8 from both sides gives 4x = 24. Dividing by 4 gives x = 6.

Correct Answer: A — 4

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Q. If a number is multiplied by 6 and then decreased by 4, the result is 14. What is the number?

A. 3
B. 4
C. 5
D. 6

Solution

Let the number be x. The equation is 6x - 4 = 14. Adding 4 gives 6x = 18, so x = 3.

Correct Answer: C — 5

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Q. If a number is multiplied by 6 and then increased by 5, the result is 41. What is the number?

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

Solution

Let the number be x. The equation is 6x + 5 = 41. Subtracting 5 gives 6x = 36, so x = 6.

Correct Answer: C — 8

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Q. If a number is multiplied by 7 and then decreased by 14, the result is 0. What is the number?

A. 1
B. 2
C. 3
D. 4

Solution

Let the number be x. The equation is 7x - 14 = 0. Adding 14 to both sides gives 7x = 14. Dividing by 7 gives x = 2.

Correct Answer: B — 2

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Q. The difference between a number and 7 is 5. What is the number?

A. 10
B. 12
C. 8
D. 6

Solution

Let the number be x. The equation is x - 7 = 5. Adding 7 to both sides gives x = 12.

Correct Answer: A — 10

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Q. The difference between a number and 9 is 15. What is the number?

A. 24
B. 20
C. 15
D. 18

Solution

Let the number be x. Then, x - 9 = 15. Adding 9 to both sides gives x = 24.

Correct Answer: A — 24

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Q. The difference between a number and 9 is 5. What is the number?

A. 10
B. 11
C. 12
D. 13

Solution

Let the number be x. The equation is x - 9 = 5. Adding 9 gives x = 14.

Correct Answer: A — 10

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Showing 1 to 30 of 36 (2 Pages)

Linear Equations in One Variable - Applications

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