Writing Equations

Master writing and solving two-step equations with this grade 6 math worksheet!

Matching Equations Match each equation to the situation it represents. Jane bought 3 boxes of cherries. The farmer gave her 15 extra for a total of 51 Cherries. 3x + 15 = 51 Sam found 7 bags of marbles and 10 more marbles not in bags. He ended up with a total of 66 marbles. 7x + 10 = 66 The office had 8 boxes of paper and a stack of 200 more sheets. There were a total of 4200 pages. 8x + 200 = 4200 Deb ordered 6 large pizzas and 3 individual slices. The delivered 63 slices of pizza total. 6x + 3 = 63 Seth has twice the number of games as Matt. Seth has 80 games. 2x = 80 Writing Two-Step Equations Write an equation to represent the situation, then solve. Wanda donated 4 boxes of cans, with c cans in each box. In addition, she gave 3 more that didn't fit in a box. The total number of cans was 51. Equation: 4c + 3 = 51Solution: There are 12 cans in each box.Sandra had 3 bags of candy and 12 extra pieces not in a bag. She had a total of 78 pieces of candy. Write an equation to represent how many pieces of candy, c, are in each bag.Equation: 3c + 12 = 78Solution: Each bag has 22pieces of candy.Jackie brought 5 trays of cupcakes to work. She gave 26 away to friends and she had 34 left. Write an equation to represent the number of cupcakes, c, on each tray.Equation: 5c - 26 = 34Solution: Each tray had 12 cupcakes.Mrs. Peterson had 8 sheets of stickers, with s stickers on each sheet. She put 92 on student’s papers. She had 148 left.Equation: 8s - 92 = 148Solution: Each sheet had 30 stickers. There is a $25 fee for the plan It costs each member $25 to join There is a $100 discount on the joint plan It costs each member $100 to join t = 20c + 25 t = 20(c + 25) t = 25c + 20 t = 25(c + 20) h = 8.50t h = 8.50 + t t = 8.50h t = 8.50 + h s = 75 - c s = c - 75 c = 75 - s c = s - 75 When an alligator is born, it is about 8 inches long. Each year it grows about 12 inches. Determine how old an alligator is that is 116 inches long. 1. Define the variable2. Write the equation3. Solve the equation (write your answer in a COMPLETE SENTENCE)