CPM Homework Help : CCG Problem 12-41

Home > CCG > Chapter 12 > Lesson 12.1.3 > Problem 12-41

12-41.

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 12-46 for you to check your answers.

$2x-5=7$
Hint (a):
Add $5$ to both sides.
Answer (a):
$x = 6$

$x^2 = 16$
Hint (b):
Remember that $16$ is a perfect square, and there are two answers.
Answer (b):
$4$ or $−4$

$2\left(x-1\right)=6$
Hint (c):
Distribute before simplifying.
Answer (c):
$x = 4$

$\frac { x } { 5 } = 6$
Hint (d):
Multiply by the denominator.
Answer (d):
$30$

$2x^2 + 5 = x^2 + 14$
Hint (e):
Set equal to zero, then factor.
Answer (e):
$3$ , $-3$

$\left(x-3\right)\left(x+5\right)=0$
Hint (f):
Which numbers make this true?
Answer (f):
$3$ or $-5$