Saxon Math: Algebra 1 Test 1 Study Guide

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Questions and Answers

What is a mixed number?

A fraction

A whole number

The sum of a whole number and a fraction (correct)

An irrational number

What is a mathematical line?

A straight line that has no width and no ends.

What is a part of a line called?

Line segment

If two lines cross, they do not intersect.

False Signup and view all the answers

What do we call lines that do not intersect?

Parallel Signup and view all the answers

What do we call lines that make square corners at their intersection?

Perpendicular Signup and view all the answers

What are the angles made by perpendicular lines?

Right angles which are 90 degrees. Signup and view all the answers

What do two right angles form?

A straight angle which is 180 degrees. Signup and view all the answers

How many degrees are in a circle?

360 degrees. Signup and view all the answers

What is an angle smaller than a right angle called?

Acute angle. Signup and view all the answers

What is an angle larger than a right angle but smaller than a straight angle called?

Obtuse angle. Signup and view all the answers

What is a polygon?

A special kind of geometric figure. Signup and view all the answers

What is each segment of a polygon called?

Side. Signup and view all the answers

What is true about the number of sides and vertices in a polygon?

The number of sides is always equal to the number of vertices. Signup and view all the answers

Match the number of sides to the name of the polygon:

3 = Triangle 4 = Quadrilateral 5 = Pentagon 6 = Hexagon 7 = Heptagon 8 = Octagon 9 = Nonagon 10 = Decagon 11 = Undecagon 12 = Dodecagon Signup and view all the answers

What is a polygon with an indention called?

Concave polygon. Signup and view all the answers

What do we call a polygon that does not have an indention?

Convex polygon. Signup and view all the answers

If all sides of a polygon have the same length, what is it called?

Equilateral triangle. Signup and view all the answers

What do we call polygons with sides and angles of the same length and measure?

Regular polygon. Signup and view all the answers

What is the sum of the measures of the three angles in a triangle?

180 degrees. Signup and view all the answers

What is a triangle with a right angle called?

Right triangle. Signup and view all the answers

If all the angles in a triangle are less than 90 degrees, what is it called?

Acute triangle. Signup and view all the answers

What is a triangle called if one angle measure is greater than 90 degrees?

Obtuse triangle. Signup and view all the answers

What is an isosceles triangle?

A triangle that has at least two sides of equal length. Signup and view all the answers

What characteristic does an equilateral triangle have?

All sides of equal length. Signup and view all the answers

What is a scalene triangle?

A triangle with all sides of different length. Signup and view all the answers

What defines a parallelogram?

A quadrilateral that has two pairs of parallel sides. Signup and view all the answers

What is a trapezoid?

A shape with two pairs of parallel sides. Signup and view all the answers

What is a rhombus?

An equilateral parallelogram. Signup and view all the answers

How is a square defined?

A rhombus with four right angles. Signup and view all the answers

What does perimeter mean?

Distance around. Signup and view all the answers

What is circumference?

Distance around the circle. Signup and view all the answers

What is the distance from the center of the circle to the side of the circle called?

Radius. Signup and view all the answers

What is the diameter?

Twice the length of the radius. Signup and view all the answers

What is an irrational number?

A number that goes on and on forever. Signup and view all the answers

What is the formula for the circumference of a circle?

piD or 2pir. Signup and view all the answers

What is a number?

An idea. Signup and view all the answers

What is a numeral?

A sign or symbol showing an amount of something. Signup and view all the answers

The number 0 is a positive number.

False Signup and view all the answers

What are negative numbers?

Numbers that are also real. Signup and view all the answers

What is zero called on a number line?

Origin. Signup and view all the answers

Expression for the relationship between minuend, subtrahend, and difference?

Minuend - Subtrahend = Difference. Signup and view all the answers

What is 1 foot in inches?

12 inches. Signup and view all the answers

What is 1 yard equivalent to in feet?

3 feet. Signup and view all the answers

What is 1 meter in centimeters?

100 centimeters. Signup and view all the answers

What is 1 centimeter in millimeters?

10 millimeters. Signup and view all the answers

What is 1 inch in centimeters?

2.54 centimeters. Signup and view all the answers

What is 1 mile in feet?

5280 feet. Signup and view all the answers

What is 1 kilometer in meters?

1000 meters. Signup and view all the answers

Study Notes

Mixed Numbers and Lines

A mixed number combines a whole number with a fraction, such as 13 3/5.
A mathematical line is defined as a straight line with no width or endpoints.

Line Segments and Intersection

A line segment has defined endpoints, forming a portion of a line.
Lines that cross each other are said to intersect, and the intersection point is known as the point of intersection.

Parallel and Perpendicular Lines

Lines that do not cross each other in the same plane are parallel.
When two lines intersect to form square corners, they are perpendicular, creating right angles.

Angles and Measurement

Right angles measure 90 degrees; two right angles together form a straight angle (180 degrees).
A circle encompasses a total of 360 degrees.
Angles smaller than 90 degrees are acute, while those greater than 90 degrees but less than 180 degrees are obtuse.

Polygons

A polygon is a geometric figure with straight sides; each side is referred to as a side.
The number of sides in a polygon corresponds to the number of vertices.
Naming polygons is based on the number of sides:
- Triangle (3 sides)
- Quadrilateral (4 sides)
- Pentagon (5 sides)
- Hexagon (6 sides)
- Heptagon (7 sides)
- Octagon (8 sides)
- Nonagon (9 sides)
- Decagon (10 sides)
- Undecagon (11 sides)
- Dodecagon (12 sides)
- General n-gon refers to polygons with n sides.

Concave and Convex Polygons

A concave polygon has at least one indentation, while a convex polygon has no indentations.
An equilateral triangle features all sides of equal length, while a regular polygon has equal sides and angles.

Properties of Triangles

The angles in a triangle always sum to 180 degrees.
Triangles are categorized:
- Right triangle: has one right angle.
- Acute triangle: all angles are less than 90 degrees.
- Obtuse triangle: one angle is greater than 90 degrees.
Isosceles triangles have at least two equal sides; equilateral triangles have all sides equal. Scalene triangles feature all sides of different lengths.

Quadrilaterals

A parallelogram is a quadrilateral with two pairs of parallel sides.
A trapezoid features only one pair of parallel sides.
A rhombus is an equilateral parallelogram, while a square is a rhombus that additionally has four right angles.

Measurement: Perimeter and Circumference

Perimeter refers to the total distance around a shape.
Circumference specifically describes the distance around a circle.

Circle Geometry

The radius is the distance from the center of the circle to its edge.
The diameter is twice the radius length.

Numbers and Numerals

Irrational numbers, like pi (3.141592654...), go on infinitely without repeating.
The formula for calculating circumference is given by pi multiplied by the diameter or 2 times pi times the radius.

Real Numbers

Numbers can be positive, negative, or zero, where zero acts as the origin on the number line.
Definitions in subtraction show that minuend minus subtrahend equals the difference; similarly, dividend divided by divisor results in the quotient.

Measurement Conversions

1 foot equals 12 inches.
1 yard equals 3 feet.
1 meter equals 100 centimeters.
1 centimeter equals 10 millimeters.
1 inch equals 2.54 centimeters.
1 mile equals 5280 feet.
1 kilometer equals 1000 meters.

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Prepare for your Algebra 1 Test with this comprehensive study guide. The flashcards cover essential concepts such as mixed numbers, mathematical lines, and line segments. Use these definitions to solidify your understanding and excel in your exam.