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# Algebra Word Problems Practice Questions Set 2

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## Algebra Word Problems

Basic algebra problems ask you to solve equations in which one or more elements are unknown. The unknown quantities are represented by variables, which are letters of the alphabet, such as x or y. The questions in this set of practice problems give you practice in writing algebraic equations and using these expressions to solve problems.

1. Joe took out a car loan for \$12,000. He paid \$4,800 in interest at a rate of 8% per year. How many years will it take him to pay off the loan?
1. 5
2. 2.5
3. 8
4. 4
2. What is the annual interest rate on an account that earns \$711 in simple interest over 36 months with an initial deposit of \$7,900?
1. 4.3%
2. 3%
3. 30%
4. 4%
3. Marty used the following mathematical statement to show he could change an expression and still get the same answer on both sides:
4. 10 × (6 × 5) = (10 × 6) × 5

Which mathematical property did Marty use?

1. Identity Property of Multiplication
2. Commutative Property of Multiplication
3. Distributive Property of Multiplication over Addition
4. Associative Property of Multiplication
5. Tori was asked to give an example of the commutative property of addition. Which of the following choices would be correct?
1. 3 + (4 + 6) = (3 + 4) + 6
2. 3(4 + 6) = 3(4) + 3(6)
3. 3 + 4 = 4 + 3
4. 3 + 0 = 3
6. Jake needed to find the perimeter of an equilateral triangle whose sides measure x + 4 cm each. Jake realized that he could multiply 3 (x + 4) = 3x + 12 to find the total perimeter in terms of x. Which property did he use to multiply?
2. Distributive Property of Multiplication over Addition
3. Commutative Property of Multiplication
7. The product of –5 and a number is 35. What is the number?
1. 40
2. 30
3. –7
4. –35
8. When ten is subtracted from the opposite of a number, the difference between them is five. What is the number?
1. 15
2. –15
3. –5
4. 5
9. The sum of –4 and a number is equal to –48. What is the number?
1. –12
2. –44
3. 12
4. –52
10. Twice a number increased by 11 is equal to 32 less than three times the number. Find the number.
1. –21
2. 43
11. If one is added to the difference when 10x is subtracted from –18x, the result is 57. What is the value of x?
1. –2
2. –7
3. 2
4. 7
12. If 0.3 is added to 0.2 times the quantity x – 3, the result is 2.5. What is the value of x?
1. 1.7
2. 26
3. 14
4. 17
13. If twice the quantity x + 6 is divided by negative seven, the result is 6. Find the number.
1. –18
2. –27
3. –15
4. –0.5
14. The difference between six times the quantity 6x + 1 and three times the quantity x – 1 is 108. What is the value of x?
1. 12
2. 3
15. Negative four is multiplied by the quantity x + 8. If 6x is then added to this, the result is 2x + 32. What is the value of x?
1. No solution
2. Identity
3. 0
4. 16
16. Patrice has worked a certain amount of hours so far this week. Tomorrow she will work four more hours to finish out the week with a total of 10 hours. How many hours has she worked so far?
1. 40
2. 14
3. 6
4. 2.5
17. Michael has 16 CDs. This is four more than one half the amount that Kathleen has. How many CDs does Kathleen have?
1. 6
2. 24
3. 4
4. 12
18. The perimeter of a square can be expressed as x + 4. If one side of the square is 24, what is the value of x?
1. 2
2. 7
3. 5
4. 92
19. The perimeter of a rectangle is 21 inches. What is the measure of its width if its length is 3 inches greater than its width?
1. 9
2. 3.75
3. 4.5
4. 3
20. The sum of two consecutive integers is 41. What are the integers?
1. 20, 21
2. 21, 22
3. 20, 22
4. 10.5, 10.5
21. The sum of two consecutive even integers is 126. What are the integers?
1. 62, 64
2. 62, 63
3. 60, 66
4. 2, 63

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