Download Elementary Algebra

Sample Questions for Elementary Algebra Skills
1. Combine Like terms: 13a  15b  a  2b
2. Multiply: 2 x  14 x  1
3. Solve for x: 52 x  3  x  3  0
4. Find all the factors of x 2  x  12
5. Factor out the greatest common factor: xy 3  yx3
6. Divide:
x2
x
 2
y
y
b3
7. Simplify: 5
b
 2 x  9 y 
8. Multiply:   2 
 3 y  4 x 
9. Simplify:
64x 16
10. The average of x, y, and z is 80. If two of the numbers are 74 and 78, then what is the other
number?
11. Find all the solutions of 4  x  3 3x  2   0
12. Find the value of x in the solution of the following system of equations:
x
3x
13. 

y

7

y

5
14. In which quadrants (I, II, III, and/or IV) will you find ordered pairs for which x > -3 and y<0?
15. Find the values of x for which  x  3  12
16. What are all values of x for which x 2  9 x  0 ?
17. Factor: 2 x 2  17 x  30
18. Solve:
5 z
9
z
19. (3a  b)2 
20.
3
5


x x2
21. If Sam walks 650 meters in x minutes then write an algebraic expression which represents the
number of minutes it will take Sam to walk 1500 meters at the same average rate.
Revised November 13, 2006
Answers For Sample Elementary Algebra Questions
1. 12 a  13b
2. 8 x 2  2 x  1
3. 2
4.
x  3x  4
5.
xy y 2  x 2
6.
xy
7.
1
b2
8.
3
2x


9. 8x 8
10. 88
11. 3 and
2
3
12. 3
13. III and IV
14. x  15
15. x  0 or x  9
16. (2 x  3)( x  10)
17.
1
2
18. 9a 2  6ab  b 2
19.
2 x  6
x( x  2)
20.
1500 x 30 x
or
minutes
650
13
2