Multi-step Equations

Front

What is a multi-step equation?

Back

An equation that requires more than one step to solve, often involving combining like terms, distributing, and isolating the variable.

Front

How do you solve the equation 3x + 2(4x - 4) = 3?

Back

1. Distribute: 3x + 8x - 8 = 3. 2. Combine like terms: 11x - 8 = 3. 3. Add 8 to both sides: 11x = 11. 4. Divide by 11: x = 1.

Front

What is the first step in solving the equation 2a - 4(a - 5) = 10?

Back

Distribute -4 to a and -5.

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that will satisfy the equation.

Front

What is the solution to the equation 5x - 4 + 2x = 3?

Back

x = 1.

Front

How do you combine like terms in an equation?

Back

By adding or subtracting the coefficients of the same variable.

Front

What is the distributive property?

Back

A property that states a(b + c) = ab + ac, used to multiply a single term by two or more terms inside a set of parentheses.

Front

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side of the equation.

Front

What is the solution to the equation 38 + 7k = 8(k + 4)?

Back

k = 6.

Front

What does it mean if an equation has infinite solutions?

Back

It means that any value for the variable will satisfy the equation.