Download Math 60 Final Review Word

Math 60 Final Exam Part I REVIEW________________
Part I no calculator
1. Identify the set(s) each number belongs to ,natural, whole, integers, rational, irrational, or not a real number
a) 2
3
4
b) 5.6
c) 1000
d)
5
e) 5
2. Complete the table.
number
2
3
6
opposite
reciprocal
3. Use a symbol to compare the two numbers.
4. Add.
2 + ( 5)
5. Subtract
4
9
a)
__ 56
b) 18 ___  23
7  (4)
6. Multiply 3 (2)
Evaluate.
5. 
5
9
6. 0  1  25  4  2
8. 42
2
 1 
2
 3 
9. (2)4
3
2
1
0
1
4
,
25
9,
10. Graph on the number line. Label the points.
4
7.
2
3
11. Graph the following equation by finding the intercepts:
2x  3y  12
12. Solve and check the following equation:
3x  5 x  2   4
13. Graph the following equation using a method of your choice.
3x  6y  12
3
2,
4
5
3
1
 8 ,  
2 
6
7
8
Math 60 Final Exam Part II REVIEW __________________
With calculator.
1. Sally opened a checking account with an initial deposit of $500. She wrote checks for $123.75, $56.80, and $95.87.
She made an additional deposit of $250. Write an addition statement to represent what her account balance would
be. What is the current balance of her account?
Evaluate
2(52  32 )  8 2
2.
3.65  2
3. ( 51.3(20.91) )
4. Simplify.
a) 2( 7x + 4y) 3 ( 6y + 4z)
b) 2x + 8x
c)
2x
7
8
d) 2x  8x
c) (2x)(8x)
5. Franklin’s Electrical Services sends two electricians and three apprentices out to wire a house. Each electrician is
paid $38.00 per hour, and then $22.00 is added to their pay for travel expenses. The three apprentices working with the
crew are each paid $18.00 per hour, but are not given the travel payment. Write an algebraic expression for the cost of
the total job. Simplify to an equivalent expression without parentheses. Evaluate the expression if the job took 7 hours
to complete. Define the meaning of the independent variable.
6. Determine whether y = 4 is a solution to the equation 5y + 2(y  7) = 6 + 3(y  1).
7. A cheese ball has a diameter of 4 inches. How many cubic inches of cheese does the ball contain? The outside of the
cheese ball is dusted with crushed pecans. How many square inches of pecans cover the cheese ball? The following
formulas should be useful: V 
4 3
r
3
S.A.  4 r 2
8. Write ordered pairs for y = 1.2x + 4 when x = 2, 1, 0, 2.
Determine the domain and range from your ordered pairs.
9. HandiMan Rentals will rent an auger for a flat fee of $20 plus $12 per hour. Tool–Time rentals will rent the same
auger or a flat fee of $26 plus $10 per hour. For what number of hours will the total rental cost be the same for the
two firms?
10. Solve algebraically.
3
1
2
x2 x .
8
2
5
11. Current in a circuit is I =
V
. Solve for R.
R
12. An antiques dealer purchases a restored radio and resells it for $350, which represents a 75% markup of the cost.
How much did the dealer pay for the radio?
13. Determine three solutions of the linear equation graphed.
2
1
0
–1
–2
–2 –1 0
1
2
3
14. Determine 3 solutions. Then graph.
x  3y = 6
15. Graph the line with horizontalintercept = 3 and
verticalintercept = 1.
What is the slope of the line?
16. Determine the slope and y–intercept of the line for the equation 3x  6y = 6.
Graph using the slope and y–intercept.
17. Write a linear equation for a line containing the points (1, 6) and (1.5, 3.5).
18. A study of aging found that people who were 65 years old tended to live an additional 16.5 years on the average.
Persons who were 79 years old tended to live an average of 8.4 years longer. Write a linear equation that relates the
average additional years of life (y) to a person’s age (x). What would you predict is the remaining life span for a 70 year
old person?