__Questions:__**Write a standard form equation that can be used to solve the problem. Do NOT solve the equation.**

- Find the number that, when added to its square, equals 30.
- The product of two consecutive integers is 90. Find the integers, assuming they are positive. (Hint: Let x be the smaller integer.)
- Find the number that, when added to its square, equals 20.
- Find the number that, when subtracted from its square, equals 56.
- The product of two consecutive even integers is 80. Find the integers, assuming they are positive. (Hint: Let x be the smaller integer.)
- The product of two consecutive odd integers is 99. Find the integers, assuming they are positive. (Hint: Let x be the smaller integer.)
- The square of a number added to twice the number equals 24. What is the number
- A farmer wants to construct a fence around a vegetable garden. The length of the garden is 5 m greater than the width. If the area of the garden is 300 sq m, Find the dimensions. (Hint: Let x be the width.)
- The length of a rectangle is 20 cm greater than the width. The area is 125 sq cm. Find the dimensions. (Hint: Let x be the width.)
- A swimming pool is in the shape of a rectangle. The width of the pool is 10 m less than the length. If the area of the pool is 200 sq m, find the length and width of the pool. (Hint: Let x be the width.)

Answer:

- x
^{2}+ x - 30 = 0 - x
^{2}+ x - 90 = 0 - x
^{2}+ x - 20 = 0 - x
^{2}- x - 56 = 0 - x
^{2}+ 2x - 80 = 0 - x
^{2}+ 2x - 99 = 0 - x
^{2}+ 2x - 99 = 0 - x
^{2}+ 5x - 300 = 0 - x
^{2}+ 20x - 125 = 0 - x
^{2}- 10x - 200 = 0

Reference:

Complete Test Preparation for the GED Test 2014 by Steck-Vaughn