Algebra Examples

$y = x^{2} + x$

Step 1

Substitute $- 2$ for $x$ and find the result for $y$ .

$y = {(- 2)}^{2} - 2$

Step 2

Solve the equation for $y$ .

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Step 2.1

Remove parentheses.

$y = {(- 2)}^{2} - 2$

Step 2.2

Simplify ${(- 2)}^{2} - 2$ .

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Step 2.2.1

Raise $- 2$ to the power of $2$ .

$y = 4 - 2$

Step 2.2.2

Subtract $2$ from $4$ .

$y = 2$

Step 3

Substitute $- 1$ for $x$ and find the result for $y$ .

$y = {(- 1)}^{2} - 1$

Step 4

Solve the equation for $y$ .

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Step 4.1

Remove parentheses.

$y = {(- 1)}^{2} - 1$

Step 4.2

Simplify ${(- 1)}^{2} - 1$ .

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Step 4.2.1

Raise $- 1$ to the power of $2$ .

$y = 1 - 1$

Step 4.2.2

Subtract $1$ from $1$ .

$y = 0$

Step 5

Substitute $0$ for $x$ and find the result for $y$ .

$y = {(0)}^{2} + 0$

Step 6

Solve the equation for $y$ .

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Step 6.1

Remove parentheses.

$y = {(0)}^{2} + 0$

Step 6.2

Remove parentheses.

$y = 0^{2} + 0$

Step 6.3

Remove parentheses.

$y = {(0)}^{2} + 0$

Step 6.4

Simplify ${(0)}^{2} + 0$ .

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Step 6.4.1

Raising $0$ to any positive power yields $0$ .

$y = 0 + 0$

Step 6.4.2

Add $0$ and $0$ .

$y = 0$

Step 7

Substitute $1$ for $x$ and find the result for $y$ .

$y = {(1)}^{2} + 1$

Step 8

Solve the equation for $y$ .

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Step 8.1

Remove parentheses.

$y = {(1)}^{2} + 1$

Step 8.2

Remove parentheses.

$y = 1^{2} + 1$

Step 8.3

Remove parentheses.

$y = {(1)}^{2} + 1$

Step 8.4

Simplify ${(1)}^{2} + 1$ .

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Step 8.4.1

One to any power is one.

$y = 1 + 1$

Step 8.4.2

Add $1$ and $1$ .

$y = 2$

Step 9

Substitute $2$ for $x$ and find the result for $y$ .

$y = {(2)}^{2} + 2$

Step 10

Solve the equation for $y$ .

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Step 10.1

Remove parentheses.

$y = {(2)}^{2} + 2$

Step 10.2

Remove parentheses.

$y = 2^{2} + 2$

Step 10.3

Remove parentheses.

$y = {(2)}^{2} + 2$

Step 10.4

Simplify ${(2)}^{2} + 2$ .

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Step 10.4.1

Raise $2$ to the power of $2$ .

$y = 4 + 2$

Step 10.4.2

Add $4$ and $2$ .

$y = 6$

Step 11

This is a table of possible values to use when graphing the equation.

$\begin{array}{c} x & y \\ - 2 & 2 \\ - 1 & 0 \\ 0 & 0 \\ 1 & 2 \\ 2 & 6 \end{array}$

Step 12