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Homework Assignments View previous assignments
Due Date: 8/23/2020
Subject: 8th Pre-Algebra

absolute value                  the distance a value is from zero

natural numbers               counting numbers - 1,2,3, . . .

whole numbers                 natural numbers and zero - 0,1,2,3, . . .

integers                             positive and negative whole numbers - ...,-2,-1,0,1,2,…

rational number                decimal can be written as a fraction (terminates or repeats)

irrational number             decimal can not be written as a fraction


sum                                  The result of an addition expression

difference                         The result of a subtraction problem

product                             The result of a multiplication problem

quotient                            The result of a division problem


Pos / Neg: Add / Sub      Signs same: add, keep sign

                                        Signs different: sub, keep sign of one that has more

Pos / Neg: Mult / Div     Signs same: positive

                                        Signs different: negative


coefficient                        the number in front of a variable telling how many

constant                            a number without a variable that has a fixed value

independent variable        the variable in which you choose the value

dependent variable           the variable whose value is based on other variables

estimation                        educated guess

like terms                         terms with same variables and exponents, can be combined

variable                            a symbol which represents an unknown value


distributive property        a(b + c) = ab + ac, a form of multiplication

commutative property      a+b=b+a, ab=ba, if add or mult can be rearranged

associative property         a+(b+c)=(a+b)+c, a(bc)=(ab)c, if add or mult can be rearranged

order of operations           ( ), nx, * /, + -, l to r


exponents                         multipling a value by itself

                                         nx       power

                                         nx       base

                                         nx       exponent

scientific notation            example: 435000 = 4.35 * 105


Exponent Rules:               bases same and multiplication, add exponents

                                         bases same and division, subtract exponents

                                         power to a power, multiply exponents

                                         move a power in a fraction, change the sign of the exponent


square root                       √, √25 = 5 and -5, multiplied by itself

Pythagorean theorem       a2 + b2 = c2, relationship between the sides of a right ∆

hypotenuse                       the longest side of a right triangle


coordinate plane               graph

axis                                   the vertical and horizontal number lines

x-axis                               horizontal (right-left) number line

y-axis                               vertical (up-down) number line

coordinate pair                 ordered pair, (x,y) values

quadrant                           the four sections of a graph

origin                                (0,0), where the x-axis and y-axis meet


transformations                changing the position, shape, or size of an object

translation                        sliding an object to a new position (x+value,y+value)

rotation                             turning a shape; need fixed pointt and degrees

reflection                          flipping an object over a line; need axis of symmetry

axis of symmetry             a line that divides an object in half into mirror images

dilation                             changing the size of an object


prime                                an integer with exactly 2 factors, one and itself

composite                         an integer with more than 2 factors

factor                                a value that divides without a remainder

fraction                             a comparison of two values, a partial, compared to a whole

ratio                                  a comparison of two quantities, a:b or a/b

unit rate                            ratio / rate, amount per 1

proportion                        two equivalent ratios, solved by cross multiplying

similar                              same shape, different size / same angles, diff sides


Divisibility rules:             2 - value is even

                                         3 - the sum of the digits is a multiple of 3

                                         4 - divisible by 2, twice

                                         5 - ends in 0 or 5

                                         6 - divisible by 2 and 3

                                         7 - not one

                                         8 - divisible by 2, three times

                                         9 - divisible by 3, twice

                                         10 - ends in 0


percent                              a ratio out of 100

discount                            decrease of a price

tax                                    increase of a price by the government

interest                             charge for use of money (to borrow or invest)

principal                           amount deposited or borrowed

percent change                 (new-old)/old, comparing amount of change to original





Solving equations:           Goal - to determine the value of 1 of the unkown

                                        Order of operations to simplify distributive, etc.

                                         variables on left, constants on right

                                         underline what needs to be moved to other side

                                         move terms to other side and change sign

                                         combine like terms

                                         mult / div on both sides to get only 1 of the variable

                                         if inequality - if mult / div by negative, reverse sign


equality                            An equation with an equal sign.

inequality                         An equation with a greater than or less than sign.

additive inverse                opposite, 2 values added together to get 0; 5 + (-5) = 0

multiplicative inverse      reciprocal, multiplied together to get 1, 3/5(5/3) = 1


point                                 a dot

line                                   a line that goes on forever in both directions

ray                                    a line that goes on forever in one direction

line segment                     a line that ends at a point in both directions

angle                                 intersection of two lines - vertex

vertex                               point of intersection of two sides of an angle

sides                                 rays of an angle

degrees                             units used in measuring an angle

protractor                          tool used to measure an angle


acute angle                       angle between 0 and 90 degrees

right angle                        angle that is 90 degrees

obtuse angle                     angle between 90 and 180 degrees

straight angle                    angle that is 180 degrees


parallel lines                     two lines in the same plane that never meet

perpendicular lines           two lines that intersect at a 90° angle

adjacent angles                 two angles with a common side

vertical angles                  opposite angles

exterior angles                  the angle formed when a side is extended

complementary                sum of adjacent angles is 90°

supplementary                  sum of adjacent angles is 180°

transversal                        a line that intersects two parallel lines

congruent                         equal

congruent polygons          same size and shape, same angles and lengths


equilateral triangle           triangle with three congruent sides

isosceles triangle              triangle with two congruent sides

scalene triangle                triangle with no congruent sides

acute triangle                    triangle with all angles between 0 and 90 degrees

right triangle                    triangle with one angle that is 90 degrees

obtuse triangle                  triangle with one angle between 90 and 180 degrees


quadrilateral                     polygon with four sides

trapezoid                          quad with one pair of parallel sides

parallelogram                   quad with two pairs of parallel sides

rhombus                           quad with four congruent sides

rectangle                           quad with four right angles

square                               quad with four right angles and four congruent sides

kite                                   quad with two pair of adjacent congruent sides

deltoid                              quad that is concave


area                                   amount of space taken up by a 2-D object

lateral area                        sum of the areas of only side surfaces

surface area                      sum of the areas of all surfaces

volume         amount of space taken up by a 3-D object

Geometry - Area
Due Date: 1/23/2018
Subject: 8th Pre-Algebra

Geometry – Area

            Calculate the area of the irregular shape on the board.

Due Date: 1/23/2018
Subject: Algebra I

            Page 538 1-11 odd, 33-43 odd, 17

            Pre-Algebra test - Rework any problems that you have not gotten correct.

Signed Progress Report
Due Date: 1/22/2018
Subject: 8th Pre-Algebra

Return Progress Report Signed

Due Date: 1/19/2018
Subject: 8th Pre-Algebra


            Worksheet 21 geometry area and volume

Pythagorean Theorem Applications
Due Date: 1/12/2018
Subject: Algebra I

Pythagorean Theorem Applications

            Page 92 6

Pythagorean Theorem Applications
Due Date: 1/11/2018
Subject: Algebra I

Pythagorean Theorem Applications

            Page 91 4

Pythagorean Theorem Applications
Due Date: 1/10/2018
Subject: Algebra I

Pythagorean Theorem Applications

            Page 91 3

Geometry Vocabulary
Due Date: 1/10/2018
Subject: 8th Pre-Algebra


            Worksheet 20

            Worksheet 21 – front

Similar Objects
Due Date: 1/9/2018
Subject: 8th Pre-Algebra

Similar Objects

            A woman who is 5 feet 5 inches tall is standing near the Space needle in Seattle, Washington;

            she casts a 13 inch shadow at the same time that the Space Needle casts a 121-foot shadow.

            How tall is the Space Needle?


            A ramp slopes upward from the sidewalk to the entrance of a building at a constant incline.

            If the ramp is 2 feet high when it is 5 feet from the sidewalk, how high is the ramp when it

            is 7 feet from the sidewalk?

Pythagorean Theorem Applications
Due Date: 1/9/2018
Subject: Algebra I

Page 91, 1 and 2

Due Date: 1/8/2018
Subject: Algebra I


            Page 148 41, 55

            Page 153 15, 31, 35

            Page 156 9, 29, 37

            Page 159 27, 35

            Page 162 13, 35

Due Date: 1/4/2018
Subject: Algebra I

            Write x100 four different ways.

            Add, subtract, multiply, and divide the following pairs:

                        3a5, 4a3

                        10b7, 5b7

                        6c2, 6c2