Solving Two-Step Equations (with fractions)

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable.

Front

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

Back

To isolate a variable, perform the inverse operations in the reverse order of how they are applied.

Front

What is the first step to solve the equation 7 - (5x - 13) = -25?

Back

The first step is to simplify the equation by distributing and combining like terms.

Front

Solve for x: 7 - (5x - 13) = -25

Back

x = 9

Front

What does it mean to distribute in an equation?

Back

Distributing means to multiply a term outside the parentheses by each term inside the parentheses.

Front

When distributing 1/2 to (4x - 10), what is the result?

Back

The result is 2x - 5.

Front

Solve for x: (2x - 3) / 4 = 9

Back

x = 19.5

Front

What is the purpose of using fractions in equations?

Back

Fractions allow for more precise representation of quantities and relationships in equations.

Front

How do you eliminate a fraction in an equation?

Back

Multiply both sides of the equation by the denominator of the fraction.

Front

Solve for k: 2k + 8 = 60

Back

k = 26.