Below are the answers for the questions listed:
Question 2: 6x and -2x are like terms.
Answer: True
Question 3: 5x and x are like terms.
Answer: True
Question 4: 3x and x³ are like terms.
Answer: False
Question 5: x and x² are like terms.
Answer: False
Question 6: Like terms can be added or subtracted. For example, 6x + 2x is equal to 8x. and 5x - 3x is equal to 2x.
Answer: True
Question 7: When solving for an equation with the variable on both sides, we could remove the variable from any side by adding or subtracting it from that side.
Answer: True
Question 8: Solve the equation 8x = 9 + 5x.
- Subtract 5x from both sides:
\(8x - 5x = 9\)
\(3x = 9\) - Divide by 3:
\(x = 3\)
Answer: x = 3
Question 9: Solve the equation 3x = 15 - 2x.
- Add 2x to both sides:
\(3x + 2x = 15\)
\(5x = 15\) - Divide by 5:
\(x = 3\)
Answer: x = 3
Question 10: For the expression 3(2x - 1)
- The 3 is multiplied to the quantity (2x - 1)
- This is called the distributive property
- The result is 6x - 3
Full responses for Question 10:
- multiplied
- distributive
- 6x - 3