Equivalence and Basic Operations in Algebra

This video tutorial covers the concepts of equal and equivalent expressions in algebra. It begins with an introduction to the topic, followed by solving basic algebraic equations using mental math. The lesson then explores the use of tape diagrams to visually determine when expressions are equivalent. Various examples are provided to show when expressions are equivalent for different values of x. The video also includes a section on identifying equivalent expressions and concludes with homework problems for practice.

What number should be added to 3 to make 8?

• 4

• 5

• 7

• 6

If x is 3, are the expressions x + 2 and 3x equivalent?

• They are always equivalent

• They are sometimes equivalent

• No, they are not equivalent

• Yes, they are equivalent

When x is 1, are the expressions x + 2 and 3x equivalent?

• They are sometimes equivalent

• They are always equivalent

• No, they are not equivalent

• Yes, they are equivalent

For which value of x are the expressions x + 3 and 3 + x always equivalent?

• x = 1

• x = 0

• For any value of x

• x = 2

Are the expressions 4x and 15 + x equivalent when x is 5?

• Yes, they are equivalent

• No, they are not equivalent

• They are sometimes equivalent

• They are always equivalent

What is the equivalent expression for 2b + b?

• b + 2

• b + b

• 3b

• b

If x is 4, are the expressions x + 3 and 2x equivalent?

• They are always equivalent

• No, they are not equivalent

• They are sometimes equivalent

• Yes, they are equivalent

What is the value of x if 80% of x equals 100?

• 80

• 100

• 125

• 150

If Jada's dog was 5.5 inches tall and grew 14.5 inches, how tall is it now?

• 19 inches

• 21 inches

• 18 inches

• 20 inches

If Lynn picked 9.75 pounds of apples, which was three times what Andre picked, how much did Andre pick?

• 3.25 pounds

• 3.5 pounds

• 3.75 pounds

• 4 pounds