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Are these like terms? 2/3 b and 3.4 t

true false

Are these like terms?

-7.7jk and 3jk

Question 2 options:
True
False

Simplify the expression by combining like terms.

5x + 4x + 12 + 8x + 2

Question 3 options:

17x + 14

31x

5x + 4x + 12 + 8x + 2

9x + 10

Evaluate the following expression if

y = -6 and w = 4

y + w

Question 4 options:

10

-2

-64

Match like terms.
-5 3/5h
1/3mn -9
2/5gh -3gh
3.5 1.2g
-8g 6.7mn

1 answer

Let's evaluate each question step by step:

Question 1: Are these like terms?

2/3 b and 3.4 t

Answer: False

  • Like terms have the same variable component. Here, 'b' and 't' are different variables, so these are not like terms.

Question 2: Are these like terms?

-7.7jk and 3jk

Answer: True

  • Both terms contain the variable component 'jk', so they are like terms.

Question 3: Simplify the expression by combining like terms.

5x + 4x + 12 + 8x + 2

Combining like terms:

  • 5x + 4x + 8x = 17x
  • 12 + 2 = 14

So the simplified expression is 17x + 14.

Answer: 17x + 14

Question 4: Evaluate the expression if y = -6 and w = 4

y + w

Substituting the values:
y + w = -6 + 4 = -2

Answer: -2

Question 5: Match like terms.

  1. -5 - This is a constant term.
  2. 3/5h - This is a single-variable term, no match here.
  3. 1/3mn - This is a two-variable term, no match here.
  4. -9 - This is a constant term. Matches with -5 (if we consider just constants).
  5. 2/5gh - This is a two-variable term, no match here.
  6. -3gh - This is a two-variable term, no match here.
  7. 3.5 - This is a constant term. Matches with -5 and -9.
  8. 1.2g - This is a single-variable term, no match here.
  9. -8g - This is a single-variable term, no match elsewise.
  10. 6.7mn - This is a two-variable term, no match elsewhere.

Without clearer pairing guidelines, if matching constants directly is the goal:

Matches can be designated as:

  • -5 matches with -9 and 3.5.

The matching of other terms would need more context or structure showing what terms to match specifically.

If you need a detailed format of matched terms, please clarify further. Otherwise, I've provided a thorough breakdown of individual evaluations here!