Mrs. Leuschen Notes for Final Exam
The final will focus on the 6 chapters we worked on from the
Holt Algebra textbook.
The learning targets are as follows: Chapter 1 Foundations of
Algebra
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I know the difference between a variable and a constant
(1.1)
I know the definitions of add, subtract, multiply, and divide
(1.1)
I know how to add, subtract, multiply, and divide constants
(1.1)
I know the definition of a term (1.1)
I know how to add and subtract real numbers (1.2)
I know how to read a number line (1.2)
I know the definition of an absolute value (1.2)
I know how to multiply and divide real numbers (1.3)
I know the definition of reciprocal (1.3)
I know the definitions of power, base, and exponent (1.4)
I can identify the power, base and exponent (1.4)
I can simplify exponential expressions (1.4)
I know the square roots up to 100 (1.5)
I can identify cube roots - using a calculator (1.5)
I know the definitions of natural, whole and integers (1.5)
I know what a repeating decimal looks like (1.5)
Examples of variables: 3x3, 5x, p, r4...
Examples of constants: ½, 3, -4, 299…
Example of one term: 4x
Example of two terms: 4x + 3
Example of three terms: 4x + 3 - 7p
Example of absolute value [−4] The -4 is four places from zero,
so the answer is 4. Absolute value is always position, unless
there is a negative on the outside of the absolute value sign
Mrs. Leuschen Notes for Final Exam
-[−4], the answer here, is -4.
Example of reciprocal: 3 to ⅓ . The 3 is actually 3/1 so we flip
the numbers to get the reciprocal.
Example of power, base, and exponent: x3 where the whole term
is the power; the x is the base, and the 3 is the exponent. The
exponent is always smaller than the power and the base.
**Sometimes the base is a number, sometimes it’s a variable.
The example above, the variable is the base. We may have a
coefficient in front of the variable. An example looks like this:
4x3. The 4 means, we are multiplying the 4 with the x. The
exponent (3) is only related to the x.
Examples of natural numbers: {1, 2, 3…}
Examples of whole numbers: {0, 1, 2, 3…}
Examples of integers: {…-2, -1, 0, 1, 2…}