Solving Multistep Equations with One Variable

The video tutorial covers solving multi-step equations, starting with simplifying expressions using the distributive property. It progresses to solving two-step equations and handling equations with fractions. Advanced methods for solving complex equations are discussed, including working with multiple parentheses and using reciprocals to solve equations with fractions. The tutorial emphasizes the importance of maintaining balance in equations by performing the same operations on both sides.

What is the first step in solving a multi-step equation?

• Combine like terms

• Use the distributive property

• Isolate the variable

• Simplify expressions on each side

What property is used to eliminate parentheses in an equation?

• Commutative property

• Associative property

• Identity property

• Distributive property

What is the result of distributing 2 into (x + 5)?

• x + 7

• x + 10

• 2x + 5

• 2x + 10

How do you solve the equation when a variable is multiplied by a number?

• Add the number

• Subtract the number

• Multiply by the reciprocal

• Divide by the number

How do you handle negative signs in front of parentheses when solving equations?

• Convert them to positive signs

• Change them to multiplication signs

• Ignore them

• Distribute as negative

In the context of equations, what does it mean to combine like terms?

• Multiply all terms together

• Add coefficients of the same variables

• Divide each term by the same number

• Subtract terms from each side

What is the correct simplification of 3/4 times 8x?

• 6x

• 24x

• 11x

• 3x

What should you do if you encounter a fraction in an equation?

• Ignore the fraction

• Multiply by the reciprocal

• Subtract the fraction from both sides

• Add the denominator to the numerator

When combining -4y and -3y, what is the result?

• 1y

• -7y

• -1y

• -12y

What is the simplified form of -4x - 8 + 2x - 1?

• -2x - 9

• -6x + 7

• -2x - 7

• 2x - 9