방정식과 부등식 전체 문제

Solve Absolute Value Equations

In the following exercises, solve.

$|3x-4|+5=7$

Solve Absolute Value Equations

In the following exercises, solve.

$4|x-1|+2=10$

Solve Absolute Value Equations

In the following exercises, solve.

$-2|x-3|+8=-4$

Solve Absolute Value Equations

In the following exercises, solve.

$|\frac{1}{2}x+5|+4=1$

Solve Absolute Value Equations

In the following exercises, solve.

$|6x-5|=|2x+3|$

A craft beer brewer needs 215,000 bottle per day. But this total can vary by as much as 5,000 bottles. What is the maximum and minimum expected usage at the bottling company?

At Fancy Grocery, the ideal weight of a loaf of bread is 16 ounces. By law, the actual weight can vary from the ideal by 1.5 ounces. What range of weight will be acceptable to the inspector without causing the bakery being fined?

In the following exercises, solve each equation.

$-5(2x+1)=45$

In the following exercises, solve each equation.

$\frac{1}{4}(12m+28)=6+2(3m+1)$

In the following exercises, solve each equation.

$8(3a+5)-7(4a-3)=20-3a$

In the following exercises, solve each equation.

$0.1d+0.25(d+8)=4.1$

In the following exercises, solve each equation.

$14n-3(4n+5)=-9+2(n-8)$

In the following exercises, solve each equation.

$3(3u+2)+4[6-8(u-1)]=3(u-2)$

In the following exercises, solve each equation.

$\frac{3}{4}x-\frac{2}{3}=\frac{1}{2}x+\frac{5}{6}$

In the following exercises, solve each equation.

$|3x-4|=8$

In the following exercises, solve each equation.

$|2x-1|=|4x+3|$

In the following exercises, solve each equation.

Solve the formula $x+2y=5$ for y.

In the following exercises, translate to an equation or inequality and solve.

Four less than twice x is 16.

One number is four more than twice another. Their sum is $-47.$ Find the numbers.

The sum of two consecutive odd integers is $-112.$ Find the numbers.