WRITING AND SOLVING EQUATIONS WORKSHEET

Problem 1 :

Eighteen more than the number n is 125. What is the value of n ?

(A)  96     (B)  100     (C)  103     (D)  107

Problem 2 :

Twenty is 7 less than twice the number w. What is the value of W ?

(A)  5.5     (B)  13.5     (C)  6.5     (D)  2

Problem 3 :

Nine less than twice x is three more than x. what is the value of x ?

(A)  12     (B)  4     (C)  2     (D)  9

Problem 4 :

Eight less than four times the number c is twenty. What is the value of c ?

(A)  2     (B)  6     (C)  7     (D)  3

Problem 5 :

The sum of four consecutive odd integers is 296. What is the greatest of the four consecutive odd integers ?

(A)  77     (B)  75     (C)  73     (D)  71

Problem 6 :

The sum of three fourth of the number a and 24 is negative 9. What is the value of a ?

(A)  -44     (B)  -20     (C)  20     (D)  44

Problem 7 :

A number g is decreased by 23 and then multiplied by 1/2. The result is 8 More than twice the number g.

(A)  -13     (B)  -29/3     (C)  -34/3     (D)  -8

Problem 8 :

The quotient of p and q is twelve less than three times the sum of p and q. Which of the following equations represents the statements above ?

(A)  p/q = (3p + q) - 12     (B)  p/q = 12 - (3p + q)

(C)  p/q = 3(p + q) - 12     (D)  p/q = 12 - 3(p + q)

Problem 9 :

-11 + x = 9

Given above equation. What is the value of 20 - (11 - x) ?

(A)  40     (B)  29     (C)  180     (D)  32

Problem 10 :

If 33 - a = a + 27 - 5a, what is the value of 33 + 3a ?

(A)  18     (B)  20     (C)  27     (D)  -17

Problem 11 :

Two and three fifths of a number equals -26. What is the number ?

(A)  -15     (B)  -10     (C)  -5     (D)  10

Answers

1. Answer :

Given, 

Eighteen more than the number n is 125

n + 18  =  125

n  =  125-18

n  =  107

So, the value of n is 107.

2. Answer :

Given, 2w - 7  =  20

2w  =  20 + 7

2w  =  27

w  =  27/2

So, the value of w is 13.5.

3. Answer :

Given, 2x - 9  =  x + 3

2x - 9 - x - 3  =  0

x - 12  =  0

x  =  12

So, the value of x is 12.

4. Answer :

Given, 4c - 8  =  20

4c  =  20 + 8

4c  =  28

c  =  28/4

c  =  7

So, the value of c is 7.

5. Answer :

Let n be the odd number.

Then, the our consecutive odd numbers are

n, n + 2, n + 4, n + 6

Given :

n + n + 2 + n + 4 + n + 6  =  296

4n + 12  =  296

4n  =  296 - 12

4n  =  284

n  =  284/4

n  =  71

Greatest of given numbers is n + 6.

So,

n + 6  =  71 + 6

=  77

Therefore 77 is the greatest is 77.

6. Answer :

Given,  3/4 of a + 24  =  -9

3a/4  =  -9-24

3a/4  =  -33

a  =  -33 × (4/3)

a  =  -44

So, the value of a is -44.

7. Answer :

Given, (g - 23)(1/2)  =  2g + 8

g - 23  =  2(2g + 8)

g - 23  =  4g + 16

-3g  =  16 + 23

-3g  =  39

g  =  -39/3

g  =  -13

So, the value of g is -13. 

8. Answer :

Given,

the quotient of p and q  ==>  p/q

Given, twelve less than three times the sum of p and q 

==>  3(p + q) - 12

So, this equation represents the statement Option (C).

Therefore, Option (C) is the answer.

9. Answer :

Given equation, -11 + x  =  9.

To find the value of 20 - (11 - x)

Now, -11 + x  =  9

x  =  9 + 11

x  =  20

Then apply x is 20 in 20-(11-20)  =  20-(-9)

=  29

Therefore, the value of 20-( 11-x ) is 29.

10. Answer :

33-a  =  a+27-5a

33-a-a-27+5a  =  0

33-2a-27+5a  =  0

33+3a  =  27

So, the value of 33+3a is 27. 

11. Answer :

Let x be the number.

To find the value x,

Given,  2  3/5 of x  =  -26

Now, 13x/5  =  -26

x  =  -26×5/13

x  =  -2×5

x  =  -10

So, the value of x is -10. 

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