Mat0028 Final Review
(
)
1.
(LO2)
Simplify.
2.
(LO2)
Simplify.
3.
(LO1)
Translate to an algebraic expression. “ 3 less than twice x ”
4.
(LO14) Perform the indicated operations.
3(– 8)– | (
)
|
3(7a – 4b) + 6a – 2(–12a–3b)
5.
(LO8)
Solve.
6.
(LO14) Simplify.
7.
(LO9)
–
x= 32
(2a + 3b – 7) – 4(– 5a – 6b + 12)
Solve the equation. 80% of what number is 12?
8.
(LO9) Pat left a 15% tip for a meal. The total cost of the meal,
including the tip, was $27.60. What was the cost of the meal before
the tip was added?
9.
(LO10) Which of the ordered pairs is a solution to the equation?
2x – 3y
a) (2, – 1)
b) (– 1, – 3)
10. (LO6) What type of line has an undefined slope?
11. (LO8)
Write the solution set in interval notation. 3– 6x
12. (LO3)
Simplify.
13. (LO8)
Solve
21
( )
( )
x–
+3
14. (LO9) The second angle of a triangle is three times the first
angle. The third angle is 8 times the first angle. Find the measure of
the three angles.
15. (LO10) In which quadrant is the given point located?
a) (
b) (
)
)
16. (LO10) Find the x intercept and the y intercept.
2y 6x+12
17. (LO9) A 60 inch board is cut into two pieces. One piece is cut
three times the length of the other. Find the length of each piece.
18. (LO6) What type of line is 3y = 12? What are the x and y
intercepts if they exist? What is the slope?
19. (L06)
Find the slope of a line passing through the points
(-4,-2) (6,-9)
20. (LO13)
Simplify.
(
)5 (2x2)3
21. (LO13) Convert to scientific notation.
282,000
22. (LO13)
Simplify and write in scientific notation.
(1.2x10 4)(4.8x10-8)
(4a2b2 –3ab + b2) – (–a2b2 –4ab+6b2)
23. (LO14)
Subtract.
24. (LO14)
Simplify.
5x2y – 2y2 + 6xy2 – 9 + 6x2y– 4xy2 + 3y2
25. (LO14)
Multiply.
(4x2+2)(3x3+2x-1)
26. (LO14)
Divide.
( 25x4 – 30x3 + 45x2)
27. (LO13)
Simplify.
(x3)(x15)0
5x2
28. (LO9)
The sum of three consecutive odd integers is 105. What
are the numbers?
29. (LO14)
Square the binomial (4a – 3b)2
30. (LO15)
Factor out the greatest common factor.
12st2 – 3s3t5 – 27s4t7
31. (LO14)
Multiply. (
32. (LO5)
Solve.
)(
for n
)
when a = 24 and b = –4
33. (LO7)
Evaluate.
34. (LO16)
Factor completely.
4w2 – 100
35. (LO17)
Factor completely.
12m3 + 21m2 – 6m
36. (LO17)
Factor completely.
– 60x + 20x2 + 45
37. (LO17)
Factor completely.
t4 + 3t3 - 4t - 12
38. (LO16)
Factor completely.
27 – 8x3
39. (LO18)
Solve.
3x2 – 11x = 20
40. (LO18)
Solve.
x(x-6) = 16
41. (LO9)
The base of a triangle is 5cm less than the height. The
2
area is 52cm . Find the base and the height.
42. (LO15)
Factor completely.
98t2 + 32
43. (LO18)
Solve.
y3 – 3y2 – 40y = 0
44. (LO8)
Solve and write in interval notation.
3(x – 2) < 5(x+4)
45. (LO8)
Solve.
3t – 6 + 12t = 12 + 24t - 3