# 5 Algebra Problems : Inequalities and Systems of Equations Word Problems

1. Solve the following equation for the variable y. 5x - 3y + 9 = 0

2.Solve the following problem by identifying a variable, writing an equation that describes the situation, and then solving the equation. Find two consecutive even integers that have a sum of 450.

3.Solve the following problem by identifying a variable, writing an equation that describes the situation, and then solving the equation. The length of a rectangular lot is 50 feet more than the width. If the perimeter is 500 feet, then what are the length and width?

4.Solve the following compound inequality. Write the solution set using the interval notation and graph it: (3/4)x < 9 and -1/3x <or= to -15

5.Solve the following absolute value inequality and graph the solution set.

2| 5 - 2x| - 15 5

https://brainmass.com/math/basic-algebra/5-algebra-problems-inequalities-and-systems-of-equations-word-problems-30239

#### Solution Preview

1. 5x-3y+9=0, then 3y=5x+9, then y=(5x+9)/3

2. Suppose the two consecutive even integers are x and x+2, then we have x+(x+2)=450, so 2x+2=450, then ...

#### Solution Summary

Inequalities and Systems of Equations word prolems are solved.