Understanding Multi-Step and Literal Equations

What is the first step in solving a multi-step equation with variables on both sides?

• Add or subtract constants

• Combine like terms

• Multiply or divide to isolate the variable

• Distribute any coefficients

In a multi-step equation, what should you do after distributing and combining like terms?

• Check your work

• Simplify the equation

• Isolate the variable

• Add all constants to one side

When distributing a negative sign across parentheses, what happens to the signs inside?

• They all become positive

• They remain the same

• They flip to the opposite sign

• They all become negative

In a literal equation, what is the main goal when solving for a specific variable?

• To eliminate all numbers

• To isolate the variable of interest

• To combine all variables

• To convert all variables to constants

When solving for a variable in a literal equation, what should you do if the variable is being multiplied by a number?

• Subtract the number from both sides

• Multiply both sides by the number

• Add the number to both sides

• Divide both sides by the number

How do you eliminate a fraction when it is multiplying a variable?

• Divide by the fraction

• Add the reciprocal

• Subtract the fraction

• Multiply by the reciprocal

What is the result of dividing a number by itself?

• The number itself

• Negative one

• One

• Zero

What is the purpose of using the reciprocal in solving equations with fractions?

• To multiply fractions

• To eliminate fractions

• To subtract fractions

• To add fractions

What is the formula for the perimeter of a rectangle?

• P = l + 2w

• P = 2l + w

• P = l + w

• P = 2(l + w)

What is the first step in solving a perimeter equation for a rectangle to isolate a variable?

• Add the width to both sides

• Subtract the width from both sides

• Multiply by 2

• Divide by 2