Review for Final Math 1300
Review for Final Math 1300
1 List the numbers in {-5, 0/9, -7/0, -[pic], 2.4, 7, -2/3, -[pic]3.[pic], [pic] 15/4, 0.13242….}
a) Natural numbers
b) Whole numbers
c) Integers
d) Rational numbers
e) Irrational numbers
f) Real numbers
g) Undefined numbers
2 Use each of the symbol > or < to make the each of the following statement true
a) –16 _ -17
b) -(-1.8) _ 2[pic]
3. Evaluate the following
a) (-3)5
b) (-2/3)2
c) (0.3)3
d) -52
e) -[pic]
f) [pic]
g) [pic]
4 Perform order of operation and evaluate the following:
a) [pic]
b) [pic]
c) [pic]
d) [pic]
e) –(-2)[pic]
5 Evaluate the following;
a) [pic](x + y) (x2 – xy + y2) for x = -2 and y = 4
b) [pic] for a = 2, b = -3 and c = -2
6 Solve the following equations:
a) [pic]
b) [pic]
c) [pic]
d) 2- 13(x-1) = 4 – 6x
7 Solve for the indicated variable
a) V = [pic] for h
b) [pic] for g
c) [pic] for x
8 Complete each of the following table
a) [pic]y - -3x
|x |y |
|-3 | |
|0 | |
|3 | |
b) y = [pic]
|x |y |
|-3 | |
|0 | |
|3 | |
9 Find the slope of the line passing through points P and Q
a) P( 3 –2) and Q(-6, 12)
b) P(-2,4) and Q( -2,5)
c) P(-5,-4) and Q ( -5, -4)
d) P( 2,5) and Q (5, 8)
10 Find the slope of the following equations of lines:
a) [pic]
b) [pic]
c) x = 10
d) y= 7
11 Write the equation of the line with the given properties:
a) Passing though ( -3.-5); parallel to the graph of 3x – 2y = 7
b) Passing through (-3,-5); perpendicular to the graph of 3x-2y = 7
12 Write the equation 3x + 4y = -21 in the slope -intercept form. Give the slope and the
y- intercept of the equation. Also, give the x- intercept
13. Write the equation of the line with the given properties. Express the result in slope intercept form:
a) Slope of 3; passing through (-8,5)
b) Passing through (-2,4) and (6,-9)
14 Assume that f (x) = [pic]
Find f(-1)
15 Find the domain of f (x) = [pic]
16. Solve each compound inequality. Give the result in interval notation form and graph the solution set.
a) [pic]5(x-2) [pic][pic]5
b) [pic] ................
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