Math 4 Name ________________________
Calculus – Necessary Algebra Skills Review
Examples of critical algebra skills you must have mastered in order to succeed in the
Calculus Unit.
Expand the following:
1.

2 x

9

2
2.
 x

3 y

2
3.
 x
2
5 6

2  
Simplify the following so that it is written as
4.
 
3 x 5.
1 x a
6. x 7. x 2
4 x 8. 3 x
2
9.)
1 x
5
12.
Simplify the following, if possible. x

16
10. 11.
16
100 x
 x
2 x
5( x
 y )
2 
2( x
 y y ) (5 x
2 
2 )

Calculate the following:
13. The slope of the line going though the points (-3, -8) and (10, -4).
14. The slope of the line going though the points (-1, 6) and (12, -7).
Complete the following:
15. The slope of a horizontal line is __________________________.
16. The slope of a vertical line is __________________________.
Given , ( )

2 x
2 
5 x evaluate and simplify the following:
4. f (4) 5. f

6. (

4) 7. f ( 4 x

9)

8. f (2 x

6)

( ) 9.
 

5
Solve the following using Number Line Analysis:
17. b 3 
6 b 2 
8
 2 
4 b 18. x
2 
5 x

24 x
2 
9 x

0