Question

For the following algebraic expressions, simplify them using x = {-2, 0, 2, 5}

A. x+5
B. 2x-8
C. 5x-3x

Answer 1

The algebraic expressions x+5, 2x-8, and 5x-3x have been simplified using the provided values for x, with clear steps shown for each substitution and simplification to arrive at the final results.

Step-by-step explanation:

A student is given an assignment to simplify algebraic expressions using the values x = {-2, 0, 2, 5}. Here's how to simplify the given expressions:

• A. x+5:

Substitute the values of x and simplify:

• When x=-2: (-2)+5=3
• When x=0: 0+5=5
• When x=2: 2+5=7
• When x=5: 5+5=10

B. 2x-8:

Follow the same process to find:

• When x=-2: 2(-2)-8=-4-8=-12
• When x=0: 2(0)-8=0-8=-8
• When x=2: 2(2)-8=4-8=-4
• When x=5: 2(5)-8=10-8=2

• C. 5x-3x:

Simplify the expression before substituting:

5x-3x=2x

Now substitute the values:

• When x=-2: 2(-2)=-4
• When x=0: 2(0)=0
• When x=2: 2(2)=4
• When x=5: 2(5)=10

The process of simplification involves eliminating terms wherever possible and checking if the answer is reasonable, which we have done for each of the given expressions.