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North Seattle College
Math 084
Final Test Review
Name _______________________
Neatly show your work and steps in the space provided and record your answers on the line.
Work the problems exactly the same as you will on the test and then check all your answers.
If you need more practice, work additional problems from the textbook or online homework.
Perform the indicated operation and simplify; write answers with positive exponents:
your answers
1.
7x2  4x  9x  12  8x2
2.
3.
4.
1.
_____________
3h2 2h  5  2h 3h2  6h  4  45h  2
2.
_____________
5x z x y z 
3.
_____________
4.
_____________
5.
_____________

3
3
5
2
a 
a 
5 2
5

4 3
5.
39x6 y 6
26x 6 y 3
6.
x  73x  4
6.
_____________
7.
3a 5b2
7.
_____________
Perform the indicated operation and simplify; write answers with positive exponents:
8.
3y  1 y2  3y  2
8.
_____________
9.
12a4b 6  18a5b
6a2b
9.
_____________
10.
3x  2 6x2  11x  12
10.
_____________
11. Write in scientific notation 39,200,000
11.
_____________
12. Write in standard notation: 8.2X105
12.
_____________
13. Write the slope of the line through the points
13.
_____________
14.
_____________
(12, - 38) and ( - 16, 24)
14.
Write the equation for the line when the slope is
the y-intercept is (0, 5):
1
and
8
15. Write the equation for the line through the points (2, 3)
and ( – 1, – 1 )
16. Solve the system of equations by graphing both lines:
3x  y  5
x y 1
17. Solve the system of equations by graphing both lines:
3x  y  4
y  x 2
15.
_____________
18. Solve the system of equations by elimination:
18.
_____________
19.
_____________
20.
_____________
21.
_____________
22.
_____________
23.
_____________
3x  2y  7
5x  4y  8
19. Solve the system of equations by substitution:
3x  2y  16
x  3y  2
Solve each equation:
20.

5
y  10
6
21. 5x  6  29  2x
22.
23.
3 5y  1  2  13y  3
1
1
x 2  x
5
3
Solve each equation:
24.
2 n  1
 3n  2
4
24.
_____________
25.
35.2  k  92.3
25.
_____________
26.
_____________
26. solve the inequality: 2x  7  2x  8
graph the solution on the number line:
_____________
write the solution in interval notation:
27. solve the inequality: 2 3  x  3 1  x  15
27.
_____________
graph the solution on the number line:
write the solution in interval notation:
_____________
28. Use the graph below to find the slope, y-intercept, x-intercept,
28.
slope ______________
and equation of the line.
y-intercept __________
x-intercept __________
equation ____________
29. Use the graph below to find the slope, y-intercept, x-intercept,
29.
slope ______________
and equation of the line.
y-intercept __________
x-intercept __________
equation ____________
30. Identify the slope, y-intercept and x-intercept of the line.
1
1
x 2  y
5
3
30.
slope ______________
y-intercept __________
x-intercept __________
Answers:
1.
15x2  5x  12
16.
through (0, – 5) and (– 1, – 2)
through (0, – 1) and (– 1, – 2)
2.
 3h2  12h  8
17.
through (0, – 4) and (3, 5)
through (0, 2) and (3, 5)
1

 2,  
2

3.
5x8 y 2
z2
18.
4.
1
a2
19.
(4, 2)
5.
3x12 y 3
2
20.
– 12
6.
3x2  17x  28
21.
5
7.
9a2  30ab  25b2
22.
4
8.
3y3  10y2  9y  2
23.
– 15
9.
2a2b5  3a3
24.
1
10.
2x  5 
11.
2
3x  2
25.
– 57.1
3.92 X 107
26.
15 

  , 

4 

12.
0.000082
27.
 12 
 5 ,  


13.

31
14
28.
m
14.
y
1
x 5
8
29.
m
2
2
; (0, – 4 ); (6, 0); y  x  4
3
3
15.
y
4
1
x
3
3
30.
m
3
; (0, – 6 ); (10, 0);
5
x
x
15
4
12
5
5
5
; (0, 5); (3, 0); y   x  5
3
3