Solving Equations and Inequalities

The video tutorial covers solving equations using inverse operations, including one-step and two-step equations. It explains the use of the distributive property and combining like terms. Special attention is given to equations with no solution or infinitely many solutions, highlighting the importance of understanding variable cancellation and identical terms.

What is the inverse operation of addition?

• Division

• Multiplication

• Exponentiation

• Subtraction

If x + 15 = 6, what is the value of x?

• -21

• 9

• -9

• 21

In the equation x - 8 = -3, what operation would you use to isolate x?

• Subtraction

• Multiplication

• Division

• Addition

What is the first step in solving the equation -3x + 5 = -22?

• Add 5

• Subtract 5

• Multiply by -3

• Divide by -3

In a two-step equation, which operations should you perform first?

• Factor and expand

• Exponentiate and root

• Multiply and divide

• Add and subtract

When using the distributive property, what do you do with the number outside the parentheses?

• Subtract it from each term inside

• Divide it by each term inside

• Add it to each term inside

• Multiply it by each term inside

What is the result of distributing -4 in the expression -4(7 - 3x)?

• -28 + 12x

• 28 + 12x

• 28 - 12x

• -28 - 12x

How do you combine like terms in the equation 3x + 8x?

• Subtract them

• Divide them

• Add them

• Multiply them

What should you do if like terms are on both sides of the equation?

• Move one to the other side

• Ignore them

• Multiply them

• Combine them directly

What does it mean if an equation has no solution?

• The equation has one solution

• The variables cancel and the numbers are different

• The equation has infinite solutions

• The variables cancel and the numbers are the same