MultiStep Equations

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to isolate the variable and solve for its value.

Front

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

Back

First, distribute the 2: 4 = 2x + 6. Then, subtract 6 from both sides: -2 = 2x. Finally, divide by 2: x = -1.

Front

What is the first step to solve the equation x/2 = -10?

Back

Multiply both sides by 2 to eliminate the fraction: x = -20.

Front

How do you isolate y in the equation y ÷ 3 = 12?

Back

Multiply both sides by 3: y = 36.

Front

What is the solution to the equation 11 = 3z + 5?

Back

Subtract 5 from both sides: 6 = 3z. Then, divide by 3: z = 2.

Front

What is the process to solve the equation 3c + 5 = 23?

Back

Subtract 5 from both sides: 3c = 18. Then, divide by 3: c = 6.

Front

What does it mean to isolate a variable in an equation?

Back

Isolating a variable means manipulating the equation to get the variable alone on one side of the equation.

Front

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

Back

Checking your solution ensures that the value you found satisfies the original equation, confirming its correctness.

Front

What is the distributive property and how is it used in solving equations?

Back

The distributive property states that a(b + c) = ab + ac. It is used to eliminate parentheses in equations.

Front

How do you handle equations with fractions?

Back

You can eliminate fractions by multiplying both sides of the equation by the least common denominator.