Multistep equations

Front

What is a multistep equation?

Back

A multistep 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

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. This may involve adding, subtracting, multiplying, or dividing both sides of the equation.

Front

What is the first step to solve the equation: 7x = 3x + 24?

Back

Subtract 3x from both sides to isolate the variable x.

Front

Solve for x: 5x - 14 = 8x + 4

Back

x = -6

Front

What is the solution to the equation: -49 - x = -8x + 70?

Back

x = 17

Front

What is the first step to solve the equation: 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

Solve for x: 2x - 3 + 4x = 27

Back

x = 5

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.

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 each term inside a parenthesis.

Front

How do you check your solution for an equation?

Back

To check your solution, substitute the value of the variable back into the original equation to see if both sides are equal.