Solving Multistep Equations with Variables on the Same Side

This video tutorial focuses on solving multi-step equations by simplifying them first. It covers identifying when to simplify equations using parentheses and like terms. The tutorial provides examples of solving equations with like terms on the same side, handling complex equations with multiple like terms, and using distribution. Each example includes step-by-step instructions and emphasizes checking solutions for accuracy.

What indicates that an equation needs simplification before solving?

• All variables are on one side

• Presence of parentheses and like terms

• Equation is too long

• Presence of exponents

What is the first step in solving equations?

• Combine like terms

• Draw a line down the equal sign

• Add numbers to both sides

• Simplify the parentheses

How do you simplify 3x + 2x?

• x5

• 6x

• 5x

• x^2

What operation would you use to isolate 'x' when you have 5x = 40?

• Multiplication

• Addition

• Subtraction

• Division

If you have 9x - 14 = -63, what is x?

• 7

• -49

• 49

• -7

How do you check if your solution for x is correct?

• Multiply x by the coefficient

• Substitute x back into the original equation

• Add x to each side

• None of the above

What does the distribution method help eliminate in an equation?

• Variables

• Coefficients

• Parentheses

• Exponents

After distributing and combining like terms, what was the simplified form of the equation with 5x and 3x on the same side?

• 8x

• None of the above

• 2x

• 15x

What is the result of dividing both sides of the equation 8x = 24 by 8?

• x = 8

• x = 4

• x = 2

• x = 3

How do constants in an equation affect the simplification process?

• They are ignored

• They are combined with variables

• They are eliminated first

• They are combined with other constants