Pre-Algebra 1-2
Tentative Date-For Test-Wednesday May 13th.
Chapter 8 Vocabulary List & Study Guide
Know the meaning and proper spelling. Be able to identify an example.
Highlight each vocabulary word and definition in your notebook.
8-1 Points, Lines, Planes and Angles
point
line
plane
segment
ray
angle
acute angle
right angle
obtuse angle
straight angle
complementary angle
supplementary angle
Be able to identify a geometric figure from the list above.
Be able to identify an angle by its measurement.
Be able to find an angle measurement given that the angles are complementary or supplementary.
8-2 Geometric Relationships
parallel lines
perpendicular lines
skew lines
parallel planes
perpendicular planes
Be able to identify parallel, perpendicular, or skew lines.
Be able to identify parallel or perpendicular planes.
8-3 Angle Relationships
adjacent angles
vertical angles
transversal
Be able to find angle measures given adjacent angles.
Be able to find angle measures given vertical angles.
Be able to find angle measures given parallel lines cut by a transversal.
Be able to measure an angle (±1 degree).
Be able to construct an angle of given measure (±1 degree).
8-4 Triangles
Triangle Sum Theorem
acute triangle
right triangle
obtuse triangle
equilateral triangle
isosceles triangle
scalene triangle
midpoint
altitude
Be able to find a missing angle measure.
Be able to name a triangle by its sides.
Be able to name a triangle by its angles.
8-5 Coordinate Geometry
polygon
quadrilateral
trapezoid
parallelogram
rectangle
rhombus
square
Be able to find a missing angle measure of a quadrilateral.
Be able to name a quadrilateral.
8-6 Congruent Polygons
correspondence
congruent
Be able to name corresponding polygons.
Be able to identify the missing side length given congruent polygons.
Be able to identify the missing angle measure given congruent polygons.
8-7 Transformations
transformation
translation
reflection
Be able to identify an image of a transformed figure.
Be able to identify an ordered pair of a point of a transformed figure.
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Chapter 7 Vocabulary List & Study Guide
Know the meaning and proper spelling. Be able to identify an example.
Highlight each vocabulary word and definition in your notebook.
7-1 The Coordinate Plane
coordinate plane
x-axis
y-axis
origin
quadrant
ordered pair
Be able to identify the quadrant of a point.
Be able to identify the ordered pair of a point.
7-2 Functions
function
input
output
vertical line test
Be able to determine whether a relation is a function given a data table.
Be able to determine whether a relation is a function given a graph.
Be able to determine the output of a function given the input.
7-3 Graphing Linear Functions
linear equation
linear function
Be able to graph a linear function.
Be able to match the linear function with its graph.
7-4 Graphing Quadratic Functions
quadratic function
parabola
Be able to graph a quadratic function.
Be able to match the quadratic function with its graph.
7-5 Cubic Functions
cubic function
Be able to match the cubic function with its graph.
7-6 Rate of Change and Slope
rate of change
rise
run
slope
Be able to find the rate of change in two quantities.
Be able to identify the missing quantity given a constant rate of change.
Be able to find the slope of a line given the graph of the line.
7-7 Finding Slope of a Line
Be able to find the slope of a line given two ordered pairs.
Be able to find the missing rise or run length given the slope and one of the
lengths.
7-8 Interpreting Graphs
Be able to relate a story to a graph.
Be able to understand the meaning of upward sloping, downward sloping,
vertical and horizontal segments on a graph and the meaning in the context of
the x-axis and y-axis.
7-9 Direct Variation
direct variation
constant of variation
Be able to determine whether a relation is a direct variation given a data table.
Be able to determine the constant of variation and write a direct variation
equation
Bonus Questions
Graph a cubic function.
Draw a line when the slope and a point on the line are given.
Draw the graph of a function given the equation. This will involve concepts
from Chapter 1.
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Chapter 6 Test will be on Friday, February 6th
6-1 Relating Fractions, Decimals, and Percents
percent
Be able to convert a value from one form to another.
Be able to compare values in different forms and order from least to greatest.
6-2 Estimating With Percents
compatible numbers
Be able to use compatible numbers to estimate the percent of a number.
6-3 Finding Percents
Be able to find what percent one number is of another.
(ex: What percent of 200 is 46?)
6-4 Finding a Number When the Percent is Known
Be able to find a number when the percent of the number is known.
(ex: 26 is 75% of what number?)
6-5 Applying Percent of Increase or Decrease
percent of change
discount
markup
Be able to find the percent a quantity has increased or decreased.
Be able to identify the amount or percent of discount.
Be able to identify the amount or percent of markup.
6-6 Commission, Sales Tax, and Profit
commission
sales tax
profit
Be able to identify the amount or percent of commission.
Be able to identify the amount or percent of sales tax.
Be able to identify the amount or percent of profit.
6-7 Applying Simple (& Compound) Interest
simple interest
compound interest
principal
rate of interest
Be able to use the formulas I=Prt and A=I+P to find the unknown amount,
interest, principal, time or rate.
Bonus Questions
Solve a simple interest problem using a comparison of different interest rate
and time options.
Solve a discount problem with a double discount.
Compare values in different forms and order from least to greatest (5 values).
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Pre-Algebra 1-2
Chapter 4 Vocabulary List & Study Guide
Know the meaning and proper spelling. Be able to identify an example.
Highlight each vocabulary word and definition in your notebook.
4-1 Exponents
exponent
base
power
Be able to evaluate powers with both positive and negative bases.
Be able to change an expression with repeated factors to a power.
4-2 Integer Exponents
Be able to evaluate expressions with positive and negative exponents.
4-3 Properties of Exponents
Be able to multiply powers with the same base.
Be able to divide powers with the same base.
4-4 Multiplying and Dividing Monomials
monomial
Be able to multiply or divide monomials.
Be able to correctly raise a power to a power.
4-5 Scientific Notation
scientific notation
Be able to change a number from scientific notation to standard form.
Be able to change a number from standard form to scientific notation.
4-6 Squares and Square Roots
square root
principal square root
perfect square
Be able to find the square root of a number or monomial.
4-7 Estimating Square Roots
Be able estimate the closest whole number square root for a number that is not
a perfect square.
Be able to determine the two integers a square root would fall between if not
a perfect square.
4-8 The Real Numbers
real number
irrational number
Be able to identify a rational vs. irrational number.
Be able to identify a real number vs. a number that is not real (like a
fraction with a zero denominator).
4-9 The Pythagorean Theorem
Be able to find the length of the hypotenuse given the length of the legs.
Be able to find the length of a leg given the length of the hypotenuse and a leg.
Be able to tell if a trio of lengths forms a right angle.
Bonus Questions
Find a missing side length using the Pythagorean Theorem.
Evaluate an expression involving square roots and various operations.
Multiply and/or divide numbers given in scientific notation, and express the
answer in scientific notation.
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Chapter 3 Test is on Friday November 21st
Pre-Algebra 1-2
Chapter 3 Vocabulary List & Study Guide
Know the meaning and proper spelling. Û Be able to identify an example.
Highlight each vocabulary word and definition in your notebook.
3-1 Properties of Rational Numbers
Commutative Property
Associative Property
Distributive Property
Be able to recognize the Associative Property.
Be able to recognize the Commutative Property.
Be able to recognize the Distributive Property.
Be able to choose an expression that is property rewritten using a named property.
3-2 Simplifying Algebraic Expressions
term
like term
coefficient
constant
Be able to simplify expressions by combining like terms.
Be able to use the distributive property and then simplify an expression by
combining like terms.
3-3 Solving Multi-Step Equations
Be able to solve multi-step equations using the substitute and check method.
3-4 Solving Equations with Variables on Both Sides
Be able to solve equations that have variables on both sides of the equal sign
using the substitute and check method.
3-5 Inequalities
inequality
Be able to graph an inequality.
Be able to match an inequality to its graph.
Be able to translate words into an inequality or compound inequality.
3-6 Solving Inequalities by Adding or Subtracting
Be able to solve an inequality by adding or subtracting.
3-7 Solving Inequalities by Multiplying or Dividing
Be able to solve inequalities by multiplying or dividing.
Remember that the inequality symbol reverses direction when the inequality is
multiplied or divided by a negative number.
3-8 Solving Two-Step Inequalities
Be able to solve two-step inequalities.
Be able to solve inequalities that contain fractions or decimal numbers.
Bonus Questions
Solve and graph a two-step inequality.
Use the distributive property and combine like terms to simply an expression.
Write a number in Roman Numerals (it will be more than 1000, but less than 2000).
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Pre-Algebra 1-2
Highlight each vocabulary word and definition in your notebook.
Chapter 2 Test is on Thursday October 30th
2-1 Rational Numbers
rational number
terminating decimal
repeating decimal
Be able to convert a fraction to a terminating or repeating decimal.
Be able to convert a terminating decimal to a fraction, and reduce it to
simplest form.
Be able to convert a repeating decimal to a fraction, and reduce it to
simplest form.
2-2 Comparing and Ordering Rational Numbers
least common denominator (LCD)
Be able to order decimal and fractions from least to greatest.
2-3 Adding and Subtracting Rational Numbers
Be able to add fractions with common denominators, and reduce the sum to
simplest form.
Be able to subtract fractions with common denominators, and reduce the
difference to simplest form.
Be able to add or subtract decimal numbers.
2-4 Multiplying Rational Numbers
Be able to multiply fractions and reduce the product to simplest form.
Be able to multiply decimal numbers.
2-5 Dividing Rational Numbers
Be able to divide fractions and reduce the quotient to simplest form.
Be able to divide decimal numbers.
2-6 Adding and Subtracting with Unlike Denominators
multiplicative inverse
reciprocal
Be able to add fractions with unlike denominators, and reduce the sum to
simplest form.
Be able to subtract fractions with unlike denominators, and reduce the
difference to simplest form.
2-7 One-Step Equations with Rational Numbers
Be able to solve one-step equations with fractions or decimal numbers by
adding or subtracting.
Be able to solve one-step equations with fractions or decimal numbers by
multiplying or dividing.
2-8 Two-Step Equations with Rational Numbers
Be able to solve two-step equations with fractions or decimal numbers.
Bonus Questions
Add and subtract three unlike fractions, and reduce it to simplest form.
Solve a complex two step equation.
Write a number in Roman Numerals (it will be more than 100, but less than 1000).
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Pre-Algebra 1-2
Chapter 1 Vocabulary List & Study Guide
Chapter 1 Test is on Friday October 3rd
1-1 Evaluating Algebraic Expressions
expression
variable
algebraic expression
numerical expression
evaluate
Be able to evaluate an expression for a given value using correct order of
operations.
1-2 Writing Algebraic Expressions
Be able to translate words into an algebraic expression.
Be able to translate an algebraic expression into words.
1-3 Integers and Absolute Value
integer
opposites
absolute value
Be able to order a list of integers.
Be able to evaluate expressions involving absolute value.
1-4 Adding Integers
additive inverse
Be able to add positive and negative integers.
Be able to solve word problems involving addition of positive and negative values.
1-5 Subtracting Integers
Be able to subtract positive and negative integers.
Be able to solve word problems involving subtraction that results in negative
values.
1-6 Multiplying and Dividing Integers
Be able to multiply positive and negative integers.
Be able to divide positive and negative integers.
1-7 Solving Equations by Adding or Subtracting
equation
inverse operations
Be able to translate real-word situations into equations.
Be able to solve equations by substitute-and-check method.
Be able to solve one-step equations by adding or subtracting.
1-8 Solving Equations by Multiplying or Dividing
Be able to translate real-word situations into equations, and then solved them
if required.
Be able to solve one-step equations by multiplying or dividing.
1-9 Solving Two-Step Equations
Be able to solve two-step equations.
Be able to translate real-word situations into equations, and then solve them.
