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Foundations For Algebra
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Foundations For Algebra
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25 Questions

1.
The nonnegative integers.

2.
A mathematical sentence that compares the values of two expressions using an inequality symbol.

3.
For every real number a, b, and c | a(b + c) = ab + ac (b + c)a = ba + ca
a(b - c) = ab - ac (b - c)a = ba - ca

4.
The counting numbers.

5.
Making conclusions based on observed patterns.

6.
An example showing that a statement is false.

7.
A real number that can be written as a ratio of two integers. Rational numbers in decimal form are terminating or repeating.

8.
Whole numbers and their opposites.

9.
A number of such that a2=b. square root of b is the principle square root. -square root of b is the negative square root.

10.
The expression under the radical sign is the radicand.

11.
The numerical factor when a term has a variable.

12.
A number that is multiplied repeatedly.

13.
A symbol, usually a letter, that represents one or more numbers.

14.
Algebraic expressions that have the same value for all values of the variable(s).

15.
A mathematical phrase that includes one or more variables.

16.
To substitute a given number for each variable, and then simplify.

17.
Numbers whose square roots are integers.

18.
To replace an expression with its simplest name or form.

19.
A number that cannot be written as a ratio of two integers, irrational numbers in decimal form are nonterminating and nonrepeating.

20.
The distance that a number is from zero on a number line.

21. A well-defined collection of elements.

22.
The opposite or additive inverse of any number a is -a. The sum of opposites is 0.

23.
A term that has no variable factor.

24.
A number that is the same distance from zero on the number line as a given number, but lies in the opposite direction.

25.
A subset of a set consists of elements from the given set.

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