WORKSHEET ON SOLVING LINEAR EQUATIONS

Solving One Step Equations

Solve the following :

1)  x+14 = 21

2)  -13 = -4+h

3)  5y = 30

4)  x/8 = -4

5)  John buys organic almonds priced at $77 from the grocery store. How much did he pay the cashier, if he received $23 in change?

6)  Peter and Mia participated in a quiz contest. They scored 23 points in all. If Peter scored 9 points, how many points did Mia score?

7)  Grace ran 9.7 miles less than Perry last week. Grace ran 13.8 miles. How many miles did Perry run?

8)  Shreya is cooking bread. The recipe calls for 5 1/6 cups of flour. She has already put in 3 9/10 cups. How many more cups does she need to put in?

9)  After paying $4.17 for a sandwich, Kali has $15.70. With how much money did she start?

10)  The product of x and three is negative-27. What is x?

Solution

Answers :

1)  x = 7

2)  h = -9

3)  y = 6

4)  x = -32

5)  x = $100

6)  x = 14

7)  x = 23.5

8)  x = 1  4/15

9)  x =  $19.87

10)  x = -9

Solving Two Step Equations

Solve the following :

1)  4x+5 = 29

2)  7-5x = 22

3)  (x/6) - 12 = 8

4) Which of the following equations equivalent to 2x + 13 = -5?

(a) 2x+5 = -13  (b) x = 2(-5-13) (c) x+13 = -2.5  (d) 2x+11 = -3

5)  (2x/5) - 7 = 3

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

7)  Nine less than twice x is three more than x. What is the value of x?

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

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

10)  The sum of four consecutive integers is -54.

Solution

Answers :

1)  x = 6

2)  x = -3

3)  x = 40

4)  Option (a) is correct

5)  x = 25

6)  g = -13

7)  x = 12

8)  x = 7

9)  77 is the greatest odd number

10)  x = -15

Solving Multi Step Equations

Questions :

1)  -7x - 5x + 8 = -16

2)  -3m - 5 = 5m - 13

3)  3x + 2(x - 5) = 25

4)  1/3(x + 6) = 2/3(x - 9)

5)  3x + 4x + 5 = 19

6)  8k+12=2(k-3)

7)  5y + 4 - 2y = 9

8)  14 = 3(x - 2) + 5

9)  28 = 8x + 12 - 7x

10)  5(1 - 2x) + 8x = 15

11)  4y + 7 - y = 19

12)  -3x - 8 + 4x = 17

Answers :

1)  x = 2

2)  m = 1

3)  x = 7

4)  x = 24

5)  x = 2

6)  k = -3

7)  y = 5/3

8)  x = 5

9)  x = 16

10)  x = -5

11)  y = 4

12)  x = 25

Solution

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