Saxon Algebra 1 Vocabulary L5-8

Front 1

What is a set?

Back 1

A set is a collection of objects. The individual objects that make up a set are called its elements or members.

Front 2

Tell me about a set of whole numbers.

Back 2

If we include the number zero with the set of natural numbers, we say that we have designated the set of whole numbers.

Front 3

Tell me about the set of integers.

Back 3

If we include in our list the negative of every number of the set of natural numbers, we have designated the set that we call integers.

Front 4

Tell me about absolute value.

Back 4

In reference to a number, the positive number that describes the distance on a number line of the graph of the number from the origin. The absolute value of zero is zero.

Front 5

What are the two rules for stating absolute value?

Back 5

The two rules for stating absolute value are:
1. The absolute value of zero is zero.

2. The absolute value of any nonzero real number is a positive number.

Front 6

Tell me about algebraic addition.

Back 6

In algebra the operations of addition and subtraction are lumped together in the one operation of algebraic addition, and this enables a straightforward solution to problems that would be very confusing if the concepts of signed numbers and algebraic addition were not used.

Front 7

Tell me about the commutative property of addition.

Back 7

The commutative property for addition states that the order in which two real numbers are added does not affect the sum. For example:

4 + 3 = 7 and 3 + 4 = 7

Front 8

Explain adding two signed numbers that have the same sign.

Back 8

To add algebraically two signed numbers that have the same sign, we add the absolute values of the numbers and give the result the same sign as the sign of the numbers.

Front 9

Explain adding two signed numbers that have opposite signs.

Back 9

To add algebraically two signed numbers that hae opposite signs, we take the difference in the absolute values of the numbers and give to this result the sign of the original number whose absolute value is the greatest.

Front 10

What is the sum of any real number and its opposite?

Back 10

The sum of any real number and its opposite is zero.

Front 11

What is another name for the opposite of a number?

Back 11

Another name for the opposite of a number is the additive inverse of the number. The sum of any real number and its additive inverse is zero.

Front 12

Tell me about adding more than two numbers by inserting parentheses mentally.

Back 12

We will let the sign preceding the number designate whether the number is a positive number or a negative number, and we will mentally insert a plus sign in front of each number to indicate algebraic addition.

Front 13

Tell me about opposites.

Back 13

Opposites are two numbers with the same absolute value but with different signs.

Front 14

Tell me about the area of a closed figure.

Back 14

The area of a closed figure is the number of square units contained in the figure.

Front 15

Tell me about a square unit.

Back 15

A square unit is a square having sides that measure one unit in length.

Front 16

Tell me about the area of a rectangle.

Back 16

The area of a rectangle equals the length of the rectangle times the width of the rectangle.

A of a rectangle = l x w

Front 17

Tell me about the area of a square.

Back 17

The area of a square equals the length of its sides squared.

Area of a square = l squared

Front 18

Tell me about the altitude, or height, of a triangle.

Back 18

The altitude, or height, of a triangle is the perpendicular distance from either the base of the triangle or and extenstion of the base to the opposite vertex. Any on of the three sides can be designated as the base.

Front 19

Tell me about the area of a parallelogram.

Back 19

The area of a parallelogram equals the sum of the areas of the two triangles.

Area = A1 + A2

Front 20

Tell me about the area of a trapezoid.

Back 20

The area of a trapezoid equals the sum to the areas of the two triangles.

Area = A1 + A2