##### Algebra Basics: 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.

Which of these numbers is the largest?

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

$$0.45$$

$$\displaystyle \frac{1}{3}$$

$$\displaystyle \frac{11}{30}$$

$$0.7^2$$

2.

A class has $$16$$ girls and $$24$$ boys. What is the ratio of boys to girls, as a fraction in simplest form?

$$\displaystyle \frac{16}{24}$$

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

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

$$\displaystyle \frac{24}{16}$$

$$\displaystyle \frac{3}{5}$$

3.

If a $$40$$-inch-tall person grows by $$25\%$$, how many inches tall is the person after growing?

$$50$$

$$40.25$$

$$65$$

$$10$$

$$44$$

4.

If a car drives at a speed of $$35$$ miles per hour for $$12$$ minutes, how many miles will it go?

$$420$$

$$35$$

$$\frac{35}{12}$$

$$17.5$$

$$7$$

5.

Find the value of $$0.125 \times 888.$$

$$444$$

$$109.40$$

$$111$$

$$11.1$$

$$111000$$

6.

Find the simplified form of $$\frac{13}{117}.$$

$$\displaystyle \frac{1}{9}$$

$$\displaystyle \frac{1}{19}$$

$$\displaystyle \frac{1}{17}$$

$$\displaystyle \frac{13}{117}$$

$$\displaystyle \frac{1}{13}$$

7.

How many $$x$$'s are there in

$\frac{1}{2} x + \frac{1}{2} x + \frac{1}{2} x ?$

$$3$$

$$2$$

$$1.5$$

$$1$$

$$0.5$$

8.

The reciprocal of a non-zero variable $$x$$ is equal to:

$$\displaystyle \frac{x}{10}$$

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

$$x-1$$

$$-x$$

$$1-x$$

9.

$$\sqrt{5} + \sqrt{5} = ?$$

$$\sqrt{10}$$

$$5$$

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

$$2\sqrt{5}$$

$$4\sqrt{5}$$