Placement Test for Algebra 1A and Algebra 1B

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

                                                               

Nothing on this test is intended to be tricky.  * means multiply.

If you do not see an exponent in problems #5,  11, 21, 24, 25, 26  then stop and email me about this.  Please show a little work on each problem where possible.

DO NOT USE A CALCULATOR.   I need to understand what you know when you are working without any type of math help. 

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

 

1.  Evaluate:  -5 +12  =

 

2.  Evaluate:  -5 -12 =

 

3.  Evaluate:   5 -12 =

 

4.  Evaluate:   -5 + (-12) =

 

5.  Simplify: (3)*(5)2  =

 Hint: You need to recall the Order of Operations for math here.

 

6.  Simplify: 40 divided by 5*2 =

 

7.  Simplify: 8 - 5*( -5 +3) =

 

8.  Simplify: 2/3 + 3/5 =   ( these are the fractions 2-thirds and 3-fifths.)

 

9.  Simplify:  -8 +8 =

 

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

 

11.  Simplify     -4x2  - 2x2 + 5x - 9x2  =

 

12. Translate to a variable expression: the product  of 5 and the square of a     number.

 

13. Is  0.2 a solution of   2x - 4 = 0 ?  ( must show some of your work)

 

14. Is  -2 a solution of  4x + 7 = -21 ?  ( must show some of your work)

 

15.  Solve for x: ( must show some of your steps)     6  = x - 3 + 2x

 

16.  Solve for x: ( must show some of your steps)       8 + 5(x+4) = 3

 

17. . 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.

 

18.  80 is 80% of what number?

 

19.  125 is what percent of  625?

 

20.  30% of a class is boys.  There are 120 children in the class.  How many boys are there?

 

21.  SUBTRACT: (4X2  - 6X + 7) - ( 7X2 +5X  - 3)

 

22.  MULTIPLY then simplify: - 4x( 4X + 8)  

 

23.  MULTIPLY then simplify: (x +3p)(x - 5p)  

 

24.  DIVIDE (24x4 + 40x )  BY 8x.

                    

25.  Factor completely: v2 - 12v +20  

          

26.  Factor completely: x2   - 64.

 

27.  Simplify:    -0.0719 +  8 =

 

28.   Find the area of a rectangle whose length is 16 feet and width is 25 feet.

 

29.  Find the perimeter of a rectangle whose length is 16 feet and width is 25 feet.

 

30.   A circle has a diameter or 12 inches.   

    a.  Find its radius.           b.  Find its circumference.            c.  Find its area.