Algebra I Review Homework
Read the information at each link below (to the MathPlanet website) before attempting the problems.
- 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. ()
- The sum of 5 and three times a number
- 30 minus a number
- The quotient of 7 and a number
- The product of a number and 12
- Evaluate each expression. Use a = 3, b = 2, and c = 1. ()
- 2a2 - (4b + c)
- 9 (a + 2b) + c
- (2a + b ) / 2
- 4a - b2
- 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. ()
- -3.21
- The square root of 7
- -1/2
- 18
- 35/5
- 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. ()
- Tom has $8.00. He wants to buy oranges which cost $.75 a piece.
- Tara's car travels about 25 miles on one gallon of gas. She has between 10 and 12 gallons of gas.
- The relationships in the tables below are functions. Write a function rule for each table. ()
x y 1 7 2 14 3 21 4 28 x y 1 6 2 9 3 12 4 15 x y 1 20 2 16 3 12 4 8 - Make a scatter plot of the data below. ()
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 - Is there a positive correlation, a negative correlations, or no correlation between the sets of data?
- Find the mean, median, and mode for each set of data. ()
- 85, 87, 81, 92, 87, 80, 83
- 24, 45, 33, 27, 24
- 2.4, 2.3, 2.1, 2.5, 2.3, 2.2
- 42, 18, 55, 37, 57, 37, 48, 47, 37
- The Benefit Walk stem and leaf plot below shows kilometers walked during a benefit walk. Use it for the next three exercises. ()
- Find the mean, median, mode, and range.
- How many people walked more than 19 km?
- How many people walked less than 17.1 km?
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)
- Find each percent of change. Describe the percent of change as an increase or decrease. If necessary, round to the nearest tenth. ()
- $2 to $3
- 9 m to 12 m
- $12.20 to $4.80
- Simplify each expression. ()
- Tell whether each expression is rational or irrational ()
- Between what two consecutive integers is each square root? ()