Solving 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

What is the first step in solving the equation 5x - 4 + 2x = 3?

Back

Combine like terms: 5x + 2x - 4 = 3 becomes 7x - 4 = 3.

Front

How do you isolate the variable in the equation 7x - 4 = 3?

Back

Add 4 to both sides: 7x = 3 + 4, which simplifies to 7x = 7.

Front

What is the solution to the equation 7x = 7?

Back

Divide both sides by 7: x = 1.

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 parentheses.

Front

How do you solve the equation 4 + k/2 = -3?

Back

Subtract 4 from both sides: k/2 = -3 - 4, which simplifies to k/2 = -7. Then multiply both sides by 2 to find k = -14.

Front

What is the solution to the equation 4x + 10 = -26?

Back

Subtract 10 from both sides: 4x = -26 - 10, which simplifies to 4x = -36. Then divide by 4 to find x = -9.

Front

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

Back

First, apply the distributive property: 3x + 8x - 8 = 3. Then combine like terms: 11x - 8 = 3. Add 8 to both sides: 11x = 11, and divide by 11 to find x = 1.

Front

What does it mean to have a negative coefficient in an equation?

Back

A negative coefficient indicates that the variable is being subtracted or that its value is negative when isolated.