Answer:
1. x + 20
2. 0
3. 2x - 8
4. 95x + 10
5. -9x - 6
6. 4x + y - 5
7. -x + 6y + 5
8. x + y - 15
9. x + 4y + 4
Step-by-step explanation:
• When working with variables and numbers, you have to put the variables first (in alphabetical order) and then the numbers.
• To evaluate an algebraic expression, we find the value of the expression when the variable is replaced by a given number.
• To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.
• When we are not given a number for the variable in the expression, we have to group like-terms.
- Example: 5x + 6 + 3x - 2 - y
- 1st: group 5x and 3x (add the terms together) = 8x
- 2nd: group 6 and -2 (add the terms together) = 4
- 3rd: Since -y has no like-terms, we can't group it = -y
- Fourth, put the terms in order (variables = alphabetical order and then numbers) = 8x - y + 4
1. 4x + 12 - 3x + 8
- 4x - 3x = 1x = x
- 12 + 8 = 20
- x + 20
2. -8x + 1 + 2x - 1 + 6x
- -8x + 2x + 6x = -8x + 8x = 0
- 1 - 1 = 0
- 0
3. 4x - 3 - 2x - 5
- 4x - 2x = 2x
- -3 - 5 = -8
- 2x - 8
4. 100x + 5 - 5x + 5
- 100x - 5x = 95x
- 5 + 5 = 10
- 95x + 10
5. -4x - 4 - 2 - 5x
- -4x - 5x = -9x
- -4 - 2 = -6
- -9x - 6
6. 2x - 1 + 2x - 4 + y
- 2x + 2x = 4x
- -1 - 4 = -5
- 4x + y - 5
7. 5y - x + 2y - y + 5
- 5y + 2y - y = 5y + 1y = 6y
- -x + 6y + 5
8. -15 + 3y - 3x - 2y + 4x
- 3y - 2y = 1y = y
- -3x + 4x = 1x = x
- x + y - 15
9. 4 - 3y + 3x - 2x - y
- -3y - y = 4y
- 3x - 2x = 1x = x
- x + 4y + 4
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