Algebra I Review Test

Try to do these exercises without looking at the review material. Show your work! If you get stuck, refer to the MathPlanet links in the Algebra I Review Homework.

1. Define variables and write an equation to model the relationship in each table.

1. Number	Cost
   1	$2.30
   2	$4.60
   3	$6.90

2. Payment	Change
   $1	$9
   $2	$8
   $3	$7

2. Simplify each expression.
1. 3 + 5 - 4
2. 8 - 2⁴ ÷ 2
3. (2 x 3 - 1) ÷ 3²
4. 36 - (4 + 5 x 4)
3. Decide whether each statement is true or false. If true, explain why. If false, provide a counterexample.
1. All rational numbers are integers.
2. The absolute value of a number is always positive.
4. Write an expression for each phrase.
1. Ten times the result of eleven minus two
2. The quantity p minus five eighths times the result of one fourth plus p
5. Write four rational numbers. Use a number line to order them from least to greatest.
6. The price p of a CD is $17.95. The sales tax rate r is 7.5%. Use the formula C = p + rp to find the total cost C of the CD. 
7. Use the scatter plot for the next three exercises 
   
1. Is there a positive correlation, negative correlation, or no correlation between daily mean temperature and latitude?
2. What is the daily mean temperature for the location at latitude 58^º N?
3. What is the range of daily mean temperatures?
8. Explain why | a/b | = a/b is not always true. Use complete sentences. 
9. Use the table below for the next two exercises. This table represents the percentage of people who speak a language other than English at home. (Source: U.S. Census Bureau)

   State	Percent
   Connecticut	15
   Massachusetts	15
   Maine	9
   New Hampshire	9
   New Jersey	20
   New York	23
   Pennsylvania	7
   Rhode Island	17
   Vermont	6

1. Make a stem-and-leaf plot for the data.
2. Find the mean, median, mode, and range of the data. 
10. The price of a turkey depends on its weight. This week, whole turkeys sell for $1.59 per lb. 
1. Write a rule to describe the function. Define any variables used. 
2. What is the price of a 14-lb turkey?
3. If you had $10 to buy a turkey, how big a turkey could you buy?
11. Identify the independent and dependent variables and write a function rule to describe each situation.
1. The amount of money you earn mowing lawns at $15 per lawn
2. The profit you make by selling flowers at $1.50 each when each flower costs you $.80
12. Write a function rule for the relationship shown in the table below.

1. Number of Weeks	Total Savings
   1	$52
   2	$64
   3	$76
   4	$88

2. Use the function to find the total savings after 7 weeks.