Multi-Step Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve. It often involves combining like terms, using the distributive property, and isolating the variable.

Front

Solve the equation: -4x + 1 = 21

Back

x = -5

Front

What does it mean if an equation has infinitely many solutions?

Back

It means that there are countless values for the variable that satisfy the equation, often because the equation simplifies to a true statement.

Front

Solve the equation: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions

Front

Which of the following equations has no solution? 2x + 1 = 5x - 3, 2(x - 7) = 2x-14, 3(2x+1) = 6x+1, 15x - 30 = 0

Back

3(2x+1) = 6x+1

Front

Solve the equation: 5x + 4 = -6

Back

x = -2

Front

Solve the equation: 4x + 7 = 23

Back

x = 4

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you 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

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.

Front

What is a like term?

Back

Like terms are terms that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.