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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.

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10:00

1.

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

89408940

8.948.94

89.489.4

10894\displaystyle \frac{10}{894}

894100\displaystyle \frac{894}{100}

2.

Which of these choices is the biggest?

23\displaystyle \frac{2}{3}

0.3330.\overline{333}

25\displaystyle \frac{2}{5}

46\displaystyle \frac{4}{6}

57\displaystyle \frac{5}{7}

3.

Simplify:

5x+1+5x2x2+x \frac{5}{x+1} + \frac{5x^2}{x^2 + x}

55

xx

5x2+xx2+x+1\displaystyle \frac{5x^2 + x}{x^2 + x + 1}

5+x5 + x

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

4.

What is the average of x+5x+5 and x9?x-9?

x2x - 2

2-2

4-4

xx

x4x - 4

5.

Solve this equation for x:x:

3x31=374 3x^3 - 1 = 374

x=25x = 25

x=5x = 5

x=55x = 5 \sqrt{5}

x=125x = 125

x=3753x = \sqrt[3]{375}

6.

Simplify:

(6x+2y)(0.5y1.5x) (6x + 2y) (0.5y - 1.5x)

3y2+9x+x23y^2 + 9x + x^2

2.5y+4.5x2.5y + 4.5x

4.5y+2.5x4.5y + 2.5x

9x2+xy+y2-9x^2 + xy + y^2

y29x2y^2 - 9x^2

7.

Which of the following is equivalent to

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

Choose all of the following that apply.

(x+13)(6x+1)\displaystyle \left(x + \frac{1}{3}\right)(6x + 1)

(3x+1)(2x+13)\displaystyle (3x+1)\left(2x + \frac{1}{3}\right)

(x+13)(2x+13)\displaystyle \left(x + \frac{1}{3}\right)\left(2x + \frac{1}{3}\right)

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

6x2+3x+13\displaystyle 6x^2 + 3x + \frac{1}{3}

8.

A root, or solution, of the equation

10x215x+7=0 10x^2 - 15x + 7 = 0

is which of the following?

x=0x = 0

x=1x = 1

A value of xx that makes 10x215x=710x^2 - 15x = 7 true

A value of xx that makes 10x215x+710x^2 - 15x + 7 equal to zero

The square root of 10x215x+710x^2 - 15x + 7

9.

Which of the following are terms in the expansion of

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

Choose all of the following that apply.

3ya3ya

3by3by

9ab9ab

ayay

3x3x