##### Algebra Tools: Prerequisite Check

We teach hard concepts with the easiest words we can. Let's make sure you know the words and ideas we need. This course is just right if you get at least 80% on this test, but less than 70% of the place-out test. This test should be very easy for you, since it is only making sure you have the basics to understand.

Time Left:

10:00

1.

What is $$10\%$$ of $$894?$$

$$8940$$

$$8.94$$

$$89.4$$

$$\displaystyle \frac{10}{894}$$

$$\displaystyle \frac{894}{100}$$

2.

Which of these choices is the biggest?

$$\displaystyle \frac{2}{3}$$

$$0.\overline{333}$$

$$\displaystyle \frac{2}{5}$$

$$\displaystyle \frac{4}{6}$$

$$\displaystyle \frac{5}{7}$$

3.

Simplify:

$\frac{5}{x+1} + \frac{5x^2}{x^2 + x}$

$$5$$

$$x$$

$$\displaystyle \frac{5x^2 + x}{x^2 + x + 1}$$

$$5 + x$$

$$\displaystyle \frac{5}{x+1}$$

4.

What is the average of $$x+5$$ and $$x-9?$$

$$x - 2$$

$$-2$$

$$-4$$

$$x$$

$$x - 4$$

5.

Solve this equation for $$x:$$

$3x^3 - 1 = 374$

$$x = 25$$

$$x = 5$$

$$x = 5 \sqrt{5}$$

$$x = 125$$

$$x = \sqrt[3]{375}$$

6.

Simplify:

$(6x + 2y) (0.5y - 1.5x)$

$$3y^2 + 9x + x^2$$

$$2.5y + 4.5x$$

$$4.5y + 2.5x$$

$$-9x^2 + xy + y^2$$

$$y^2 - 9x^2$$

7.

Which of the following is equivalent to

$\frac{(3x + 1)(6x + 1)}{3} ?$

Choose all of the following that apply.

$$\displaystyle \left(x + \frac{1}{3}\right)(6x + 1)$$

$$\displaystyle (3x+1)\left(2x + \frac{1}{3}\right)$$

$$\displaystyle \left(x + \frac{1}{3}\right)\left(2x + \frac{1}{3}\right)$$

$$(x+1)(2x+1)$$

$$\displaystyle 6x^2 + 3x + \frac{1}{3}$$

8.

A root, or solution, of the equation

$10x^2 - 15x + 7 = 0$

is which of the following?

$$x = 0$$

$$x = 1$$

A value of $$x$$ that makes $$10x^2 - 15x = 7$$ true

A value of $$x$$ that makes $$10x^2 - 15x + 7$$ equal to zero

The square root of $$10x^2 - 15x + 7$$

9.

Which of the following are terms in the expansion of

$(ay + 3) (by + 3)?$

Choose all of the following that apply.

$$3ya$$

$$3by$$

$$9ab$$

$$ay$$

$$3x$$