Quadratic Equations — Basic Algebra

Questions in this quiz (8)

1. Solve the equation: $$x^2-5x=14$$

   • $$2\text{ and }7$$
   • $$-2\text{ and }7$$
   • $$-7\text{ and }2$$
   • $$1\text{ and }14$$

2. What are the two solutions to the equation: $$x^2+2x=35?$$

   • $$-7\text{ and }5$$
   • $$7\text{ and }-5$$
   • $$-5\text{ and }7$$
   • $$5\text{ and }7$$

3. For which of the following equations is $$x=3$$ a solution?

   • $$x^2-9=0$$
   • $$x^2-6x+5=0$$
   • $$x^2+4x-22=0$$
   • $$2x^2-5x-3=1$$

4. What is the lesser positive solution to the equation: $$x^2-9x+20=0?$$

   • $$2$$
   • $$4$$
   • $$5$$
   • $$10$$

5. The area of a rectangle is represented by: $$x^2+7x+12$$ Which expression could represent the length of the rectangle if its width is $$x+3$$?

   • $$x+4$$
   • $$x+6$$
   • $$x+9$$
   • $$x+12$$

6. Which of the following is a solution to the equation: $$x^2-7=2x?$$

   • $$1$$
   • $$-2$$
   • $$-1$$
   • $$1+2\sqrt{2}$$

7. Which of the following is a positive solution to the quadratic equation: $$x^2-4x-12=0?$$

   • $$-2$$
   • $$3$$
   • $$6$$
   • $$1$$

8. What are the possible solutions to the quadratic equation: $$x^2+2x=15?$$

   • $$-5\text{ and }3$$
   • $$5\text{ and }3$$
   • $$-3\text{ and }5$$
   • $$-5\text{ and }-3$$