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Basic Algebra

Basic Algebra

Evaluating Algebraic Expressions Examples

Example 1

Evaluate the expression when x = 2, y = -3, and z = -1.

2x + 3y - z

Example 2

Find the values of the expression for x = -2, -1, 0, 1, 2

3x^2 + 1

This question is asking us to evaluate the expression for five different values. It may be easiest to do this in chart form.

X3x2 + 1Simplified
-23(-2)2 + 13(-2)2 + 1
3(4) + 1
12 + 1
13
-13(-1)2 + 13(-1)2 + 1
3(1) + 1
3 + 1
4
3(0)2 + 13(0)2 + 1
3(0) + 1
0 + 1
1
13(1)2 + 13(1)2 + 1
3(1) + 1
3 + 1
4
23(2)2 + 13(2)2 +1
3(4) +1
12 + 1
13

Example 3

Which of these values (-2, -1, 0, 1, 2) makes this equation true?

x^4 - 1 = 0

Just like the previous problem, it is probably useful to make a chart.

evaluating an expression 2