Placement Test for Algebra
1B and Algebra 2
www.mathinabox.com

Susan O. Johnsey sjohnsey@bellsouth.net

* means multiply; please show a little work on each
problem. Do not use a calculator except for maybe the multiplying.

Send your answers/work by email, please.

I will reply within one day. Please let me know with a polite note if I do not.

Complete
test within 1 hour, but do finish it. Tell me the time that you took.

1. Simplify: (3/5)*(5)^{2}
Note: the 3/5 is the fraction 3 fifths.

2. Simplify: 80 divided by 5*(5+3)

3. Simplify:** -**18** -** (1 ** -**10)^{2}

4. Simplify:** **** {**** (-10+4)**** divided
by **** (4+2) ****}****
divided by 2**

5. Simplify **2x + [ 2 -
4] +3(-4 +5x)**

6. Simplify **-4x ^{2 }-
2x^{2} + 5x - 9x^{2}**

7. Translate to a variable
expression: the product of 5 and the
sum of twice a number and 3.

8. Is 1/2 a solution of x/2
+ 1/4 = 0 ?

9. Is –2 a solution of 4x + 7 = -1 ?

10. Solve for x: ( show some of your steps) 6 – 5x = x+ 3 –2x

11. Solve for x: ( show some of your steps) 8 – 5(x+4) = 2

12.
. Translate into a variable equation and then solve. Give your equation and your answer.

Fifty-four is 5 times the difference
between a number and 6.

13. 612 is 85% of what number?

14. 30% of a class is boys. There are 120 boys. How many girls are there?

15.
How far in miles can a man drive at 40 mph to return on the same route

at 30 mph if he travels for 7 hours? You must state your equation
and your solution.

16. SUBTRACT: (4X^{2} – 6X + 7) – ( 7X^{2} +5X –
3)

17. MULTIPLY then simplify: (X – 4 )( 4X^{2} – 4X + 8)

18. MULTIPLY
then simplify: (X – 5p)(X +5p)

19. DIVIDE:
(24X^{2} + 40XY ) DIVIDED BY 8X.

20. Factor
completely: v^{2} – 12v +20

21. Factor
completely: m^{2 }(x+3) – y^{2 }(x+3).

22. Factor
completely: 9d^{2} – 24d + 16

23. Factor
completely: x^{2 }y^{2} – 49.

24. Factor
completely: x^{3} – 27 .

25. Solve by
factoring: x^{2 }+ 16x +63 =
0

26. State the __numerato__r only of the
quadratic formula. You may use symbols or words. Just try to be clear in what you mean. I am looking for understanding, not a
perfect definition or explanation.

27. For the quadratic, 9d^{2} – 24d + 16 =0 , state the
values of a, b, and c. These are used
in the quadratic formula. Then state
the solution to the equation.

28. Graph the line y = 3x -4. You do not
need to send me the graph, but you must
do it on paper for yourself. Then send
me at least 4 points that are found on this line.

29. State the slope of the line that you drew
above. Also state its y-intercept and
x-intercept. Be sure to tell me which of these 3 items are which!!

30. Simplify: Ö(25x^{2} y^{6}) This symbol is the square root sign.

31. Simplify:
Ö (250 x ^{7 })

32. Solve this system of equations by the
addition method:

5x +2y = 11

5x - 2y = 24.
Show some of your work or tell
me. Answers alone not accepted.

33. Set up the __equations to solve this
problem to receive credit for it.__

A plane flying with the jet stream from L.A, to Chicago , a distance of 2250
miles, took 5 hours. Flying against
the stream , the plane could only fly
1750 miles in the same time. Find the
rate of the plane in calm air and the rate of the wind.

Susan O. Johnsey mathinabox.com
sjohnsey@bellsouth.net