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# Math Word Problems for CBEST Exam Study Guide (page 2)

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Updated on Mar 29, 2011

### Writing Word Problems in Algebraic Form

The following are exercises that will help you translate words into equations.

#### Sample Word Conversion Questions

The following are simple problems to rewrite in algebraic form. Using N for a number, try writing out the problems below. Remember to add parentheses as needed to avoid order of operation problems.

1. Three added to a number gives us 6.
2. Six subtracted from a number is 50.

Use the four Success Steps to find the answer to question 1.

1. "Gives us" is the verb. Put in an equal sign: =
2. 3, 6, and N are the numbers: 3 N = 6
3. Added means +: 3 + N = 6
4. No parentheses are needed.
Follow the Success Steps for question 2.
1. "Is" is the verb. Put in an equal sign: =
2. 6, N, and 50 are the numbers: 6 N = 50.
3. Subtracted from means –, but it is a backwardsword: N – 6 = 50.
4. No parentheses are needed.

#### Practice

Underline the backwardswords, then write the equations.

1. A number subtracted from 19 is 7.
2. Three less a number is 5.
3. Three less than a number is 5.
4. Nine less a number is –8.
5. A number taken from 6 is –10.
6. Thirty deducted from a number is 99.
7. The quotient of 4 and a number equals 2.
8. The reciprocal of 5 over a number is 10.
9. Six divided into a number is 3.
10. Change the following sentences into algebraic equations.

11. The sum of 60 and a number all multiplied by 2 amounts to 128.
12. Forty combined with twice a number is 46.
13. Nine dollars fewer than a number costs \$29.
14. Seven feet lengthened by a number of feet all divided by 5 is equivalent to 4 feet.
15. Ninety subtracted from the sum of a number and one gives us 10.
16. Half a number plus 12 is the same as 36.

1. subtracted from, 19 – N = 7
2. 3 – N = 5
3. less than, N – 3 = 5
4. 9 – N = –8
5. taken from, 6 – N = –10
6. deducted from, N – 30 = 99
7. = 2
8. reciprocal of, = 10
9. divided into, = 3
10. (60 + N)2 = 128 or 2(60 + N) = 128
11. 40 + 2N = 46
12. N – \$9 = \$29
13. = 4
14. (N + 1) – 90 = 10
15. +12 = 36 or + 12 = 36

### Words or Numbers?

Try these two problems and determine which is easier for you.

1. Three more than five times a number equals 23.
2. Jack had three more than five times the number of golf balls that Ralph had. If Jack had 23 golf balls, how many did Ralph have?