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Transcript
Final Exam
1. Arrange these numbers in order from the least to the greatest
1
1
33%, 0.3, , 0, -33%, -0.3, 
3
3
Hint: convert all numbers to fraction and then compare
2
2. Convert 21 % to fraction.
5
3. Calculate (3)[ 5  3  (2)]
4. Calculate (-2)3
5. Use the distributive property to remove the parentheses
2 x(3x  2)  x( x 2  x  3)
6. Solve  3(2 x  1)  7 x  4
7. Find x-intercept and y-intercept of the equation 7x + 5y = 20.
8. What is the slope of the line which pass through points (7, 3) and (9,2)?
9. Convert 5x – 7y = 44 to slope-intercept form. What is the slope and y-intercept
of this line?
10. Find the equation of the line through (3, -2) that is perpendicular to the line 4x
+ 5y = 8? Please write the equation in standard form.
11. Graph the system of inequalities
5x – 2y < 10
x + 2y > -2
x – y > -4
12. Solve the system by graphing.
x + 3y = -3
2x – y = 8
13. Solve the system by the substitution method.
4x + 3y = 5
x + 2y = 10
14. Solve the system by the additional method.
2x + 3y = 1
x–y=3
15. Solve the system using your preferred method.
1
1
3(4 x  1 y  2)  5(2 x  1 y )  0
2
2
1
2(3x  3 y  1)  2(2 x  2 y  4)  0
2
16. Solve the system of equations using your preferred method:
2x – y = 2
-4x + 2y = -4
17. Points A, B, and C are on the same line. The coordinates for A, B, C are (6,
1), (2, 2), and (x, 4). What is x?
18. A line with a slope of 2 and passes a point (4, 1). Please write the equation
for this line in standard form. (standard form is Ax + By = C)
19. A line with a slope of 2 and passes a point (4, 1). Please write the equation
for this line in slope-intercept form. (slope-intercept form is y = mx + b)
20. Solve the system of equations by substitution method:
3x – y = -3
6x – 2y = 6
21. Calculate | -3 | - | -5 |
22. Calculate | -3 -5 |
23. Find the GCF of 252, 132, 60
24. Find the LCM of 252, 132, 60
25. f(x) = 2x^2 – 3x + 5
g(x) = x – 1
Find f[ g(0) ]