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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