Two-Step Equations Word Problems (CII)

• Step 1: Add 1/2 to both sides of the equation (Addition of Equality Property)

• Step 2: Divide both sides by 4 (Division of Equality Property)

• Step 1: Subtract 1/2 to both sides of the equation (Subtraction of Equality Property)

• Step 2: Multiply both sides by 4 (Division of Equality Property)

• Step 1: Add 4 to both sides of the equation (Addition of Equality Property)

• Step 2: Divide both sides by 2 (Division of Equality Property)

• Step 1: Subtract 4 to both sides of the equation (Subtraction of Equality Property)

• Step 2: Multiply both sides by 2 (Division of Equality Property)

Select each step that is used in solving the equation below. (Solve the equation before selecting your answers.)

6x + x = 49

• Step 1: Combine like terms (Substitution Property).

• Step 2: Divide both sides by 7 (Division of Equality Property)

• Step 1: Divide both sides by 7 (Division of Equality Property)

• Step 2: Divide both sides by 6 (Division of Equality Property)

Which is the correct translation of 'The product of three and the difference of a number, n, and six is 18?'

• 3(n - 6) = 18

• 3(6 - n) = 18

• 1st Step: Subtract 8 from both sides of the equation.

• 2nd Step: Multiply both sides of the equation by 2.

• 3rd Step: Add 6 to both side of the equation.

• 1st Step: Add 8 from both sides of the equation.

• 2nd Step: Divide both sides of the equation by 2.

• 2nd Step: Subtract 2 from both sides of the equation.

• 1st Step: Multiply both sides of the equation by -3.

• 1st Step: Divide both sides of the equation by -3.

• 2nd Step: Add 2 from both sides of the equation.

• 1st Step: Add 10 to both sides of the equation.

• 2nd Step: Divide both sides by 2.

• 1st Step: Subtract 10 to both sides of the equation.

• 2nd Step: Multiply both sides by 2.

• Divide both sides of the equation by -4

• Add 4 to both side of the equation.

• Multiply both sides of the equation by -4

• Subtract 4 from both side of the equation.

• 1st Step: Add 4z and -7z (Combine Like Terms)

• 2nd Step: Subtract 9 from both sides of the equation.

• 3rd Step: Divide both sides of the equation by -3.

• 3rd Step: Multiply both sides of the equation by -3.

• 2nd Step: Add 9 to both sides of the equation.

Which algebraic equation correctly translates the given verbal expression?

"The product of five and the difference of a number, n, and ten is 30"

• 5n - 10 = 30

• 5(10 - n) = 30

• 5(n - 10) = 30

• 10 - 5n = 30