Algebra I Review Homework

Read the information at each link below (to the MathPlanet website) before attempting the problems.

1. Define the variable and write an expression for each phrase. For example, let x be a variable that holds a number. Then the expression is 2*x - 3. (Expressions and variables) 
1. The sum of 5 and three times a number
2. 30 minus a number
3. The quotient of 7 and a number
4. The product of a number and 12
2. Evaluate each expression. Use a = 3, b = 2, and c = 1. (Operations in the right order)
1. 2a² - (4b + c)
2. 9 (a + 2b) + c
3. (2a + b ) / 2
4. 4a - b²
3. Name the set(s) of numbers to which each number belongs. Use the following sets: real numbers, rational numbers, irrational numbers, natural numbers, whole numbers, and integers. (Integers and rational numbers)
1. -3.21
2. The square root of 7
3. -1/2
4. 18
5. 35/5
4. Identify independent and dependent quantities for each situation and find reasonable domain and range values. Do not solve the problem; just identify the values requested. (Representing functions as rules and graphs)
1. Tom has $8.00. He wants to buy oranges which cost $.75 a piece.
2. Tara's car travels about 25 miles on one gallon of gas. She has between 10 and 12 gallons of gas.
5. The relationships in the tables below are functions. Write a function rule for each table. (Representing functions as rules and graphs)

1. x	y
   1	7
   2	14
   3	21
   4	28

2. x	y
   1	6
   2	9
   3	12
   4	15

3. x	y
   1	20
   2	16
   3	12
   4	8

6. Make a scatter plot of the data below. (Scatter plots and linear models)

1. Height(meters)	1.5	1.8	1.7	2.0	1.7	2.1	1.6	1.9	1.9
   Arm Span (meters)	1.4	1.7	1.7	1.9	1.6	2.0	1.6	1.8	1.9

2. Is there a positive correlation, a negative correlations, or no correlation between the sets of data?
7. Find the mean, median, and mode for each set of data. (The mean, the median and the mode)
1. 85, 87, 81, 92, 87, 80, 83
2. 24, 45, 33, 27, 24
3. 2.4, 2.3, 2.1, 2.5, 2.3, 2.2
4. 42, 18, 55, 37, 57, 37, 48, 47, 37
8. The Benefit Walk stem and leaf plot below shows kilometers walked during a benefit walk. Use it for the next three exercises. (Stem-and-Leaf-Plots)
1. Find the mean, median, mode, and range.
2. How many people walked more than 19 km?
3. How many people walked less than 17.1 km?

4. Benefit Walk (km) Stem and Leaf Plot

     16 | 1 1 2 3 5 5

     17 | 0 2 2

     18 | 4 5 8 9

     19 | 3 6 7 9 9 9

     (19 | 3 means 19.3)

9. Find each percent of change. Describe the percent of change as an increase or decrease. If necessary, round to the nearest tenth. (Ratios and Percent)
1. $2 to $3
2. 9 m to 12 m
3. $12.20 to $4.80
10. Simplify each expression. (Square roots)
1. 
2. 
3. 
4. 
11. Tell whether each expression is rational or irrational (Square roots)
1. 
2. 
12. Between what two consecutive integers is each square root? (Square roots)
1. 
2.