Solving Two-Step Equations

What is the first step to solve the equation 6 - 3a = 21?

• Subtract 6 from both sides to get -3a = 15.

• Add 3a to both sides to get 6 = 21 + 3a.

• Multiply both sides by -1 to get 3a - 6 = -21.

• Divide both sides by 6 to get 1 - 0.5a = 3.5.

How do you isolate a variable in a two-step equation?

• Perform the operations in the same order they are applied.

• Perform the inverse operations in the reverse order of how they are applied.

• Add the same number to both sides of the equation only.

• Multiply both sides of the equation by the variable.

What is the equation to find out how many students were on each bus if 331 students went on a field trip, 6 buses were filled, and 7 students traveled in cars?

• 331 = 5x + 7

• 331 = 6x + 7

• 331 = 6x - 7

• 331 = 7x + 6

What is a constant in an equation?

• A variable that can change value

• A fixed value that does not change, such as numbers in an equation

• An equation that has no solution

• A term that represents a range of values

Solve for a: -3a + 8 = 14

• a = 2

• a = -2

• a = 4

• a = 6

How do you check if your solution to an equation is correct?

• Substitute the solution back into the original equation to see if both sides are equal.

• Multiply both sides of the equation by the same number.

• Add the same value to both sides of the equation.

• Graph the equation and see if the solution lies on the line.

Solve for x: x / 2 - 5 = 3

• x = 10

• x = 12

• x = 14

• x = 16

What is a two-step equation?

• A type of equation that requires three operations to solve for the variable.

• An algebraic equation that requires two operations to solve for the variable.

• A simple equation that can be solved in one step.

• An equation that has two variables and requires solving simultaneously.

What is the inverse operation of addition?

• Multiplication

• Subtraction

• Division

• Exponentiation

Solve for a: 33 = 4a - 7

• a = 5

• a = 8

• a = 10

• a = 12