#### Solved Examples and Worksheet for Writing Linear Equations

Q1Which of the following choices represents the phrase "3 added to 5 times x is equal to 19"?

A. 5x - 3 = 19
B. 5(x + 3) = 19
C. x3 + 3 = 19
D. 3 + 5x = 19

Step: 1
5 times x = 5x
Step: 2
3 added to 5x = 3 + 5x
Step: 3
3 added to 5 times x is equal to 19 is 3 + 5x = 19.
Correct Answer is :   3 + 5x = 19
Q2Choose an algebraic sentence for " Seven times the quantity of a number decreased by ten is equal to 186 more than the number". Let c be the number.

A. 7(c - 10) = 186 + c
B. 7(c - 10) > 186
C. 7c - 10 = 186c
D. 7c + 10 = 186 + c

Step: 1
Seven times the quantity of a number decreased by ten = 7(c - 10).
Step: 2
186 more than the number = 186 + c.
Step: 3
The algebraic sentence for the given word sentence: 7(c - 10) = 186 + c.
Correct Answer is :   7(c - 10) = 186 + c
Q3Which of the following choices represents the word phrase "4 added to 4 times x is equal to 19"?

A. x4 + 4 = 19
B. 4(x + 4) = 19
C. 4 + 4x = 19
D. 4x - 4 = 19

Step: 1
4 times x = 4x
Step: 2
4 added to 4x = 4 + 4x
Step: 3
4 added to 4 times x is equal to 19 is 4 + 4x = 19
Correct Answer is :   4 + 4x = 19
Q4Which of the following represents a word sentence for the algebraic sentence 9c + 7 = 8c - 1 ?

A. Nine times a number decreased by seven is equal to one more than eight times the same number.
B. Nine times a number decreased by seven is equal to eight times the same number decreased by one.
C. Nine times a number increased by seven is equal to eight times the same number decreased by one.
D. Nine times a number increased by seven is equal to 9 more than eight times the same number.

Step: 1
The word sentence for the algebraic sentence 9c + 7 = 8c - 1 is nine times a number increased by seven is equal to eight times the same number decreased by one.
Correct Answer is :   Nine times a number increased by seven is equal to eight times the same number decreased by one.
Q5Choose a word sentence for the algebraic equation 6a + 3 = 8a - 2?

A. Six times a number increased by three is equal to eight times the same number increased by two.
B. Six times a number increased by three is equal to eight times the same number decreased by two.
C. Six times a number decreased by three is equal to eight times the same number increased by two.
D. Six times a number decreased by three is equal to eight times the same number decreased by two.

Step: 1
The word sentence for the algebraic equation 6a + 3 = 8a - 2 is 'Six times a number increased by three is equal to eight times the same number decreased by two.'
Correct Answer is :   Six times a number increased by three is equal to eight times the same number decreased by two.
Q6Choose a word sentence for the algebraic equation 5a - 4 = 2a + 6?

A. Five times a number decreased by four is equal to two times the same number increased by six.
B. Five times a number decreased by four is equal to two times the same number decreased by six.
C. Five times a number increased by four is equal to two times the same number increased by six.
D. Five times a number increased by four is equal to two times the same number decreased by six..

Step: 1
The word sentence for the algebraic equation 5a - 4 = 2a + 6 is 'Five times a number decreased by four is equal to two times the same number increased by six.'
Correct Answer is :   Five times a number decreased by four is equal to two times the same number increased by six.
Q7Choose a word sentence for the algebraic equation 5a + 3 = 6a + 1?

A. Three times a number increased by five is equal to six times the same number increased by one.
B. Five times a number increased by three is equal to the same number increased by six.
C. Five times a number increased by three is equal to six times the same number increased by one.
D. Three times a number increased by five is equal to the same number increased by six.

Step: 1
The word sentence for the algebraic equation 5a + 3 = 6a + 1 is 'Five times a number increased by three is equal to six times the same number increased by one.'
Correct Answer is :   Five times a number increased by three is equal to six times the same number increased by one.
Q8Choose a word sentence for the algebraic equation 3p + 8 = 5p - 4?

A. Eight times a number increased by three is equal to four times the same number increased by five.
B. Three times a number increased by eight is equal to five times the same number increased by four.
C. Three times a number increased by eight is equal to five times the same number decreased by four.
D. Eight times a number increased by three is equal to four times the same number decreased by five.

Step: 1
The word sentence for the algebraic equation 3p + 8 = 5p - 4 is 'Three times a number increased by eight is equal to five times the same number decreased by four.'
Correct Answer is :   Three times a number increased by eight is equal to five times the same number decreased by four.
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