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

How do you solve the equation 8v - 4(v + 8) = 8?

Back

1. Distribute: 8v - 4v - 32 = 8 2. Combine like terms: 4v - 32 = 8 3. Add 32 to both sides: 4v = 40 4. Divide by 4: v = 10.

Front

What is the first step in solving the equation 2x - 3 + 4x = 27?

Back

Combine like terms: 6x - 3 = 27.

Front

How do you isolate the variable in the equation 7k - 1 - 6k = -6?

Back

1. Combine like terms: k - 1 = -6 2. Add 1 to both sides: k = -5.

Front

What does it mean to combine like terms in an equation?

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 -8(-8x - 6) = -6x - 22?

Back

1. Distribute: 64x + 48 = -6x - 22 2. Add 6x to both sides: 70x + 48 = -22 3. Subtract 48 from both sides: 70x = -70 4. Divide by 70: x = -1.

Front

What is the solution to the equation 2x + 3 = 11?

Back

1. Subtract 3 from both sides: 2x = 8 2. Divide by 2: x = 4.

Front

What is the purpose of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Front

What is an example of a multi-step equation?

Back

An example is 3(x + 2) - 4 = 11.