to characterize geometric figures
What to Watch Out For
Don’t let common mistakes trip you up; keep in mind that when working with simplifying expressions and communicating answers, your challenges will be
Distributing the factor over every term in the parentheses
Changing the signs of all the terms when distributing a negative factor
Working from left to right when applying operations at the same level
Assigning points to the number line in the correct order
Placing the change in y over the change in x when using the slope formula
Satisfying the correct geometric properties when characterizing figures
Identifying Which System or Systems a Number Belongs To
1–10 Identify which number doesn’t belong to the number system.
1. Which is not a rational number?
2. Which is not a rational number?
3. Which is not a natural number?
4. Which is not a natural number?
5. Which is not an integer?
6. Which is not an integer?
7. Which is not an irrational number?
8. Which is not an irrational number?
9. Which is not an imaginary number?
10. Which is not an imaginary number?
Recognizing Properties of Number Systems
11–20 Identify which property of numbers the equation illustrates.
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19. If x = 3 and y = x, then y = 3.
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Simplifying Expressions with the Order of Operations
21–30 Simplify the expression by using the order of operations.
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Graphing Inequalities
31–40 Graph the inequality.
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