WORKSHEET ON SOLVING LINEAR EQUATIONS

Solve the following :

1)  x + 14 = 21      Solution

2)  -13 = -4 + h        Solution

3)  5y = 30      Solution

4)  x/8 = -4         Solution

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?      Solution

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?       Solution

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

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?

Solution

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

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

Solution

(11)  What value of k makes the equation k + 4 ÷ 0.2 = 5 true?

a) −15         b) −5        c)  −3        d) 1.5

(12)  The melting point of a solid is the temperature at which the solid becomes a liquid. The melting point of bromine is 1/30 of the melting point of nitrogen. Write and solve an equation to find the melting point of nitrogen

(13)  Solve p − 8 ÷ 1/2 = −3     Solution

(14)  Solve q + ∣ −10 ∣ = 2      Solution

(15)  The melting point of mercury is about 1/4 of the melting point of krypton. The melting point of mercury is −39° C. Write and solve an equation to fi nd the melting point of krypton.      Solution

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

(11)  Describe and correct the error in solving the equation.

(12)  You go on a hike with your uncle. Your backpack weighs 25 pounds. Your uncle is a math teacher and he tells you that your pack is 7 pounds less than twice as heavy as his pack. Use the equation 2p − 7 = 25 to find the weight of your uncle’s backpack.

(13)  You pilot a helicopter tour from Orlando to West Palm Beach along the coast. On the return trip, you fly straight back to Orlando at a steady speed in 1.3 hours. The total distance is 313 miles. Write and solve an equation to find your speed from West Palm Beach to Orlando.