Question
Question at position 2
6x and -2x are like terms.
6x and -2x are like terms.
True
False
Question at position 3
3
True or False
1 point
Question at position 3
5x and x are like terms.
5x and x are like terms.
True
False
Question at position 4
4
True or False
1 point
Question at position 4
3x and x³ are like terms.
3x and x³ are like terms.
True
False
Question at position 5
5
True or False
1 point
Question at position 5
x and x² are like terms
x and x² are like terms
True
False
Question at position 6
6
True or False
1 point
Question at position 6
Like terms can be added or subtracted. For example...
6x + 2x is equal to 8x.
and 5x - 3x is equal to 2x.
Like terms can be added or subtracted. For example...
6x + 2x is equal to 8x.
and 5x - 3x is equal to 2x.
True
False
Question at position 7
7
True or False
1 point
Question at position 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. For example, we could get rid of the 2x on the right side by subtracting it to both sides of the equation:
5x = 2x + 9
-2x -2x
↓ ↓ ↓
3x = 0 + 9
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. For example, we could get rid of the 2x on the right side by subtracting it to both sides of the equation:
5x = 2x + 9
-2x -2x
↓ ↓ ↓
3x = 0 + 9
True
False
Question at position 8
8
Multiple Choice
3 points
Question at position 8
Solve the following equation where the variable is found on both sides.
8x = 9 + 5x
Solve the following equation where the variable is found on both sides.
8x = 9 + 5x
x = 3
x = 13
x = 6
x = 4
Question at position 9
9
Multiple Choice
3 points
Question at position 9
Solve the following equation where the variable is found on both sides.
3x = 15 - 2x
Solve the following equation where the variable is found on both sides.
3x = 15 - 2x
x = 3
x = 15
x = -15
x = 20
Question at position 10
10
Fill in the Blank
3 points
Question at position 10
For the expression 3(2x - 1)
the 3 is
Question Blank 1 of 3
choose your answer...
to the quantity (2x - 1)
this is called the
Question Blank 2 of 3
choose your answer...
property
the result is
Question Blank 3 of 3
choose your answer...
Answers
GPT-4o mini
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.
1. Subtract 5x from both sides:
\(8x - 5x = 9\)
\(3x = 9\)
2. Divide by 3:
\(x = 3\)
**Answer:** x = 3
**Question 9:** Solve the equation 3x = 15 - 2x.
1. Add 2x to both sides:
\(3x + 2x = 15\)
\(5x = 15\)
2. 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:
1. **multiplied**
2. **distributive**
3. **6x - 3**
**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.
1. Subtract 5x from both sides:
\(8x - 5x = 9\)
\(3x = 9\)
2. Divide by 3:
\(x = 3\)
**Answer:** x = 3
**Question 9:** Solve the equation 3x = 15 - 2x.
1. Add 2x to both sides:
\(3x + 2x = 15\)
\(5x = 15\)
2. 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:
1. **multiplied**
2. **distributive**
3. **6x - 3**