Asked by Michelle
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
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
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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!
### 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!
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