### Home > GC > Chapter 12 > Lesson 12.1.1 > Problem12-7

12-7.

The equations below are the types of equations that you will need to be able to solve automatically in a later course. Try to solve these in $10$ minutes or less. The solutions are provided after problem 12-11 for you to check your answers.

1. $2x-5=7$

Add $5$ to both sides.

$x = 6$

1. $x^2 = 16$

Remember that $16$ is a perfect square, and there are two answers.

$4$ or $−4$

1. $2(x-1)=6$

Distribute before simplifying.

$x = 4$

1. $\frac { x } { 5 } = 6$

Multiply by the denominator.

$30$

1. $2x^2 + 5 = x^2 + 14$

Set equal to zero, then factor.

$3$, $-3$

1. $(x-3)(x+5)=0$

Which numbers make this true?

$3$ or $-5$