Factorization & Simplification — Quiz 2

Questions in this quiz (9)

1. The expression $$(x - 6)^2$$ is equivalent to:

   • $$x^2 - 12x + 36$$
   • $$x^2 - 6x + 6$$
   • $$x^2 - 24x + 12$$
   • $$x^2 + 12x - 12$$

2. The expression $$x^2 - 10x + 21$$ is equivalent to:

   • $$(x - 3)(x + 7)$$
   • $$(x + 3)(x + 7)$$
   • $$(x - 3)(x - 7)$$
   • $$(x + 3)(x - 7)$$

3. The expression $$x^2 + 7xy + 10y^2$$ is equivalent to:

   • $$(x + y)(x + 10y)$$
   • $$(x + 2y)(x + 5y)$$
   • $$(-x - y)(x + 10y)$$
   • $$(-x + 10y)(x - y)$$

4. The expression $$\frac{x^2 - 9}{3(2x + 6)}$$ is equivalent to:

   • $$x + 3$$
   • $$\frac{x + 3}{3}$$
   • $$x - 3$$
   • $$\frac{x - 3}{6}$$

5. If $$x = 6$$, what is $$\frac{3x}{4} + \frac{5x}{12}$$?

   • 5
   • 6
   • 7
   • 12

6. Worker A can complete a job in $$M$$ hours, and Worker B can complete the same job in $$N$$ hours. When working together, they can complete the job in $$H$$ hours. The relationship is given by the equation:$$\frac{1}{M} + \frac{1}{N} = \frac{1}{H}$$Determine the expression of number of hours Worker B needs to complete the job.

   • $$\frac{HM}{M - H}$$
   • $$\frac{H + M}{M - H}$$
   • $$\frac{H - M}{MH}$$
   • $$\frac{HM}{M - H}$$

7. What fraction of an hour passes between 2:10 p.m. and 2:37 p.m.?

   • $$\frac{9}{20}$$
   • $$\frac{5}{9}$$
   • $$\frac{20}{27}$$
   • $$\frac{1}{3}$$

8. Which of the following is equivalent to: $$4a^2 - 8abc$$

   • $$a(4a - 2bc)$$
   • $$4a(a - 2bc)$$
   • $$2a(a - 8bc)$$
   • $$8a(a - bc)$$

9. Which of the following is equivalent to: $$x^2 + y - xy - x$$

   • $$(x - 1)(y +1 )$$
   • $$(x + 1)(x + y)$$
   • $$(x + y)(x - y)$$
   • $$(x - 1)(x - y)$$