Unit 1 Review

Solve each equation.

By hand without Desmos - Using reverse operations to isolate the variable.

On Desmos - type the entire equation and replace the variable with x. Look where the line crosses the x-axis.

Remember, your answers will be written as the variable = number. (examples a=5). If the equation at any point makes an untrue statement like 5=9, it's no solution. If you get a statement that's always true like 5=5, it's infinitely many solutions.

These are inequalities that you solve much like the problems above.

By hand without desmos - The same rules apply except for the following: If you multiply or divide both sides by a negative, your inequality symbol has to flip.

Here is an example -

With Desmos - type the entire inequality and change the variable to x so that it will graph. You will find where it crosses the x-axis and which way the graph shades.

Solid line means equal. (closed circle on number line)

Dotted means not equal. (open circle on number line)

Shaded to left means <

Shaded to right means >

Here is an example -

So the answer will be x > 4

These are literal equations. You solve for the variable indicated. Unfortunately, you can not work these on Desmos so they have to be done by hand. You use the same rules as solving equations. Your answer will just be a rearranged formula with the indicated variable isolated. Here are two examples.