방정식과 부등식 전체 문제

Answers will vary.

$1$

$-\frac{8}{3}$

$-25$

We use the Division Property of Equality to divide both sides by $4.$

Divide both sides by 4 to undo the multiplication.
Simplify.
Check your answer. Let $x=-7$.

Since this is a true statement, $x=-7$ is a solution to $4x=-28.$

y = −16

z = −13

Here $a$ is divided by $-7.$ We can multiply both sides by $-7$ to isolate $a.$

Multiply both sides by $-7$.
Simplify.
Check your answer. Let $a=294$.

b = 144

c = 128

Remember $-r$ is equivalent to $-1r.$

Rewrite $-r$ as $-1r$.
Divide both sides by $-1$.
Check.
Substitute $r=-2$
Simplify.

In Solve Equations with Fractions, we saw that there are two other ways to solve $-r=2.$

We could multiply both sides by $-1.$

We could take the opposite of both sides.

k = −8

g = −3

Since the product of a number and its reciprocal is $1,$ our strategy will be to isolate $x$ by multiplying by the reciprocal of $\frac{2}{3}.$

Multiply by the reciprocal of $\frac{2}{3}$.
Reciprocals multiply to one.
Multiply.
Check your answer. Let $x=27$

Notice that we could have divided both sides of the equation $\frac{2}{3}x=18$ by $\frac{2}{3}$ to isolate $x.$ While this would work, multiplying by the reciprocal requires fewer steps.

n = 35

y = 18

Start by combining like terms to simplify each side.

Combine like terms.
Divide both sides by 12 to isolate x.
Simplify.
Check your answer. Let $x=1$

x = 2

n = −5