GED Math Review: Writing Quadratic Equations

Questions:

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

1. Find the number that, when added to its square, equals 30.
2. The product of two consecutive integers is 90. Find the integers, assuming they are positive. (Hint: Let x be the smaller integer.)
3. Find the number that, when added to its square, equals 20.
4. Find the number that, when subtracted from its square, equals 56.
5. The product of two consecutive even integers is 80. Find the integers, assuming they are positive. (Hint: Let x be the smaller integer.)
6. The product of two consecutive odd integers is 99. Find the integers, assuming they are positive. (Hint: Let x be the smaller integer.)
7. The square of a number added to twice the number equals 24. What is the number
8. 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.)
9. 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.)
10. 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:

1. x² + x - 30 = 0
2. x² + x - 90 = 0
3. x² + x - 20 = 0
4. x² - x - 56 = 0
5. x² + 2x - 80 = 0
6. x² + 2x - 99 = 0
7. x² + 2x - 99 = 0
8. x² + 5x - 300 = 0
9. x² + 20x - 125 = 0
10. x² - 10x - 200 = 0

Reference:

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