SOLVING ONE STEP EQUATIONS WORD PROBLEMS WORKSHEET

Problem 1 :

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

Solution

Problem 2 :

Jim’s three fish tanks contain an equal amount of fish. If Jim has a total of 27 fish, how many fish are in each tank?

Solution

Problem 3 :

Steven went to the store and bought five sweatshirts. He spent $45. What was the price of each shirt?

Solution

Problem 4 :

How many boxes of envelopes can you buy with $12, if one box costs $3?  

Solution

Problem 5 :

At a restaurant, Bill and his four friends decided to divide the bill evenly. If each person paid $12, what was the total bill?

 Solution

Problem 6 :

Last Saturday, Allyson had $38. For her birthday she received more money. She now has $90. How much money did she receive?

Solution

Problem 7 :

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

Problem 8 :

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

Problem 9 :

 -11+ x = 9

Given the above equation, what is the value of 20-(11-x) ?

Solution

Problem 10 :

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

Solution

Problem 11 :

Number a is increased by the product of b and c. The result is divided by c and then
decreased by b. Finally, that result is multiplied by c. Which of the following is the final result?

a)  a       b)  a + bc - b     c)  (a/c) + b - c      d)  (a/c) + b - bc

Solution

Problem 12 :

For which of the following number of sides will the measure of an angle be 144 degrees?

a) 6      b) 8      c) 10      d) 12

Solution

Solve each of the following equation.

Problem 1 :

x + 14 = 21

Solution

Problem 2 :

-13 = -4 + h

Solution

Problem 3 :

5y = 30

Solution

Problem 4 :

x/8 = -4

Solution

Problem 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

Problem 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

Problem 7 :

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

Solution

Problem 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

Problem 9 :

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

Solution

Problem 10 :

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

Solution

Problem 11 :

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

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

Solution

Problem 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 nitrogensolving-one-step-eq1.png

Solution

Problem 13 :

Solve p − 8 ÷ 1/2 = −3

Solution

Problem 14 :

Solve q + ∣ −10 ∣= 2

Solution

Problem 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

In the following exercises, solve the equation.

Problem 1 :

y + 2.9 = 5.7

Solution

Problem 2 :

m + 4.6 = 6.5

Solution

Problem 3 :

h + 4.37 = 3.5

Solution

Problem 4 :

a + 6.2 = - 1.7

Solution

Problem 5 :

-2.7 u = -9.72

Solution

Problem 6 :

a / 0.4 = - 20

Solution

Problem 7 :

x / 0.7 = - 0.4

Solution

Problem 8 :

y / 0.8 = - 0.7

Solution

Problem 9 :

q - 0.47 = - 1.53

Solution

Problem 10 :

0.5 x = 3.5

Solution

Problem 11 :

-1.7 c = 8.5

Solution

Problem 12 :

-2.9 x = 5.8

Solution

Problem 13 :

Describe and correct the error in solving the equation.

Solution

Problem 14 :

A gym teacher orders 42 tennis balls. Each package contains 3 tennis balls. Which of the following equations represents the number x of packages?

a)  x + 3 = 42     b)  3x = 42       c)  x/3 = 42      d)  x = 3/42

Solution

Problem 15 :

You clean a community park for 6.5 hours. You earn $42.25. How much do you earn per hour?

Solution

Problem 16 :

A rocket is scheduled to launch from a command center in 3.75 hours. What time is it now?

Solution

Problem 17 :

After earning interest, the balance of an account is $420. The new balance is 7/6 of the original balance. How much interest did it earn?

Solution