Question

Evaluate the expressions

Answer 1

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.

1. 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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