SOLVING ONE STEP EQUATIONS PRACTICE PROBLEMS

Solve each of the following equation.

(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

Solution

(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

Solution

(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

Solving One Step Equations Word Problems Practice

(1) Eighteen more than the number n is 125. What is the value of n?            Solution

(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

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

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

(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

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

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

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

(9) -11+ x = 9

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

Solution

(10) Two and three fifths of a number equals -26. What is the number?          Solution

(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

(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

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

(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

In the following exercises, solve the equation.

(1)  y + 2.9 = 5.7   Solution

(2)  m + 4.6 = 6.5    Solution

(3)  h + 4.37 = 3.5    Solution

(4)  a + 6.2 = - 1.7    Solution

(5)  -2.7 u = -9.72    Solution

(6)  a / 0.4 = - 20     Solution

(7)  x / 0.7 = - 0.4     Solution

(8) y / 0.8 = - 0.7    Solution

(9)  q - 0.47 = - 1.53     Solution

(10)  0.5 x = 3.5     Solution

(11)  -1.7 c = 8.5     Solution

(12)  -2.9 x = 5.8    Solution

Solution

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

Solution

(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

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

Solution

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

Solution

(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