Solving with the Distributive Property Answers

What is the value of x in the equation below?

Henry showed all the steps he took to solve the equation. StepSimplified Expression1-234Sammy tried to verify the solution by substituting back into the original equation. It did not result in a true statement. Which explains why Henry’s solution is incorrect?

George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is feet. The diagram below shows his plan. Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.How many feet of fencing will George need for the dog run?

Consider the solution to the linear equation. Which describes the inverse operations used after the distributive property?

Solve the equation using the distributive property and properties of equality.What is the value of a?

Sanjay solved the equation below. Which property did he use to determine that is equivalent to ?

Consider the equation and its solution.What number should be in the empty box?

Maria solved the equation. What methods did she use and in what order did she use them?

Noa hopes to pick the winning ticket during her math class’s raffle. The student who picks the ticket with a true statement will win. Which is the winning ticket?

Which step shows the result of applying the subtraction property of equality?StepSolution1234