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Pre-Algebra Examples Simplifying and Evaluating Expressions

Evaluate Using the Given Value

$3 x + 2 y + z$ , $x = 2$ , $y = 3$ , $z = 1$

Step 1

Replace the variable $x$ with $2$ in the expression.

$3 (2) + 2 y + z$

Step 2

Replace the variable $y$ with $3$ in the expression.

$3 (2) + 2 (3) + z$

Step 3

Replace the variable $z$ with $1$ in the expression.

$3 (2) + 2 (3) + 1$

Step 4

Remove parentheses.

$3 (2) + 2 (3) + 1$

Step 5

Simplify each term.

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Step 5.1

Multiply $3$ by $2$ .

$6 + 2 (3) + 1$

Step 5.2

Multiply $2$ by $3$ .

$6 + 6 + 1$

Step 6

Simplify by adding numbers.

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Step 6.1

Add $6$ and $6$ .

$12 + 1$

Step 6.2

Add $12$ and $1$ .

$13$

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Simplifying and Evaluating Expressions

More step-by-step Pre-Algebra examples from this chapter.

Simplifying Multiplication Polynomial Addition Polynomial Subtraction Polynomial Multiplication Polynomial Division Simplifying Expressions Multiplying Polynomials Using FOIL Identifying Degree Operations on Polynomials Negative Exponents Evaluating Radicals

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$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$