Word Problems with one and two step equations
Write an equation to model each problem. Then solve. Show ALL work!
1.) Six times a number is -96. 2.) The sum of a number and 12 is 4.
Find the number. Find the number.
3.) The difference between a number 4.) The quotient of 40 and a number is
5 is 18. Find the number. 4. Find the number.
5.) Twenty-three minus a number is 42. 6.) A number increased by 5 is equal to
Find the number. 34. Find the number.
7.) You have a summer job running errands for a local business. You earn $5 per day,
plus $2 for each errand. Write and solve an equation to find how many errands you need to run to earn $17 in one day.
8.) Beth has $60 in savings. She plans to save $45 a month from money she earns
baby sitting. In how many months will her savings be $600?
9.) The longest sides of a rectangle are 3 inches less than six times the length of the
shorter sides. The perimeter of the rectangle is 50 inches. Find the measures of the sides of the rectangle.
10.) You are making cakes to sell at a fundraiser. It costs $5 to make a cake, plus a
one-time cost of $25 for cake pans. You plan to sell the cakes for $10 each. How many cakes must you sell to break even?
11.) The sum of three numbers is 123. the second number is 9 less than two times
the first number. The third number is 6 more than three times the first number. Find the three numbers.
12.) You have a 90-pound calf you are raising for a 4-H project. You expect the calf to gain 65 pounds per month. In how many months will the animal weigh 1000 pounds?
13.) The bill (parts and labor) for the repair of a car was $458. The cost of parts was $339. The cost of labor was $34 per hour. Write and solve an equation to find the number of hours of labor.
14.) You are making pies to sell at a fundraiser. It costs $3 to make a pie, plus a one-time cost of $20 for a pastry blender and a rolling pin. You plan to sell the pies for $5 each. How many pies must you sell to break even?
15.) Your school band is planning to attend a competition. The total cost for the fifty band members to attend is $750. Each band member will pay $3 toward this cost and the rest of the money will be raised by selling wrapping paper. For each roll of wrapping paper sold, the band makes $2. Write and solve an equation to find how many rolls the band members need to sell.