Solving Equations Answers

Sandra makes and sells bracelets. It costs her $2 to make each bracelet, plus a one-time cost of $15 for supplies. She plans to sell each bracelet for $5. Let x represent the number of bracelets. Which equation can be used to find the number of bracelets she needs to sell to break even?

Mrs. Ramiriz is making pies to sell at the local farmer’s market. It costs her $5 to make each pie, plus a one-time cost of $30 for baking supplies. She plans to sell the pies for $12 each. Which equation can be used to find the number of pies she needs to sell to break even?

The sum of three consecutive even integers is 108. What is the largest number?

What is the value of x in the equation 2x – 3 = 9 – 4x?

The sum of three numbers is 131. The second of three numbers is seven more than twice the first. The third number is 12 less than the first. What equation can be used to solve the problem?

What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?

What is the value of x in the equation 6(x + 1) – 5x = 8 + 2(x – 1)?

Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for x?

A rope is 66 feet long. It is cut into two pieces such that one piece is half the length of the other. What is the length of the longer piece of rope?

The sum of three numbers is 45. The second of the three numbers is three more than twice the first number, x. The third number is two more than the first number, x. Which equation can be used to solve for the first number, x?