Transition Algebra

Chapter 0: Preparing for Algebra

Section 0-2 Real NumbersReal

Numbers

Irrational Numbers

Rational Numbers

Integers

Whole

Natural

Section 0-2Ex. 1) Name the set(s) of numbers to which each real number belongs.

a) b) c)

Section 0-2Ex) Graph each set of numbers on a number line

a) b)c)

Section 0-3: Operations with IntegersWhat are integers?Adding numbers with the same sign – add the numbers, keep the same sign.Ex. 1)a) 4 + 6 = b) -4 + -6 =

Section 0-3: Using a number line or chips to count

Number Line1. Draw a number line and

label the numbers2. Start at the FIRST number

listed in the problem3. Move left if you are

subtracting, move right if you are adding. Move the SECOND number of spaces

Chips1. Positive numbers are open

circles2. Negative numbers are

closed circles3. Draw the appropriate

circles4. 1 open, and 1 closed circle

equal zero. Cross them off one for one, count what is left.

Section 0-3Subtraction - Remember subtracting is the SAME as adding a negative number, so6 – 4 is the same as 6 + -4, both equal 2*Also, subtracting a negative is the same as addition! So, 6 - -4 is the same as 6 + 4Ex. 2)a) 4 – 6 = b) -4 – 6 = c) -4 -

-6 =

d) -6 - -4 = e) -6 – 4=

Section 0-3: Fill in the tableProblem Algebraic Number Line Chips

5 + 2 =

5 – 2 =

2 – 5 =

-5 + -2 =

-5 – 2 =

-5 - -2 =

Section 0-3Multiply and Dividing Integers

Rules: • If the numbers have the SAME SIGN, the answer is

___________• If the numbers have DIFFERENT SIGNS, the answer

is ___________Ex.3) a) b)

c) d)

e) f) g) h)

5454

2

12

2

12

212

2

12

Section 0-3: Fill in the tableProblem Signs? (same or

different)Sign of the answer? Final Answer

6 x 5

-6 x -5

-6 x 5

6 x -5

Section 0-4: Adding and Subtracting Fractions

Adding and Subtracting Like FractionsIf the ___________ are the same, add/sub the ___________. REDUCEEx3) Find the sum or differencea) b)

c)

Section 0-4 Adding and Subtracting Unlike Fractions

You must have a ___________ ____________!!!Ex.4) Find the sum or difference. Write the fraction in its simplest forma) b)

c)

Section 0-4 Mixed Fractions

1) Turn all mixed fractions to ______________2) Follow add/sub rulesEx) Add/Sub the mixed fractionsa) b)

c)

Section 0-5 Multiplying and Dividing Rational Numbers

Multiplying Fractions1) Change all _________ to improper2) Multiply the _____________3) Multiply the _____________4) Reduce!Ex.1) Multiply the fractionsa) b)

c) d)

Section 0-5

Reciprocal –

Ex2) Find the reciprocal of the numbera) b)

c)

Section 0-5

Dividing Fractions1) Find the __________ of the second fraction2) Follow multiplication rulesEx 3) Find each quotienta) b)

c) d)

Section 0-7: PerimeterPerimeter –

Rectangle Parallelogram

SquareTriangle

Section 0-7

Ex1) Find the perimeter of each figurea) A rectangle with a

length of 5 inches and a width of 1 inch

b) A square with a side length of 7 cm.

c) A parallelogram with side lengths 12m and 14m

d) A triangle with side lengths 4, 9, and 6 inches

Section 0-7: Circumference

Parts of a circleFormula for Circumference

Ex 2) Find the circumferencea) Radius = 4 ft. B) Diameter = 15 cm

Section 0-8: Area

Area –

Rectangle ParallelogramCircle

SquareTriangle

Section 0-8: AreaEx1) Find the area of each figurea) A rectangle with a length of

7 yards and width of 1 yard

b) A square with side length of 2 meters

c) A parallelogram with a base of 11 feet and a height of 9 feet

d) A triangle with a base of 12 cm and a height of 5 cm

e) A circle with a radius of 3 cm

f) A circle with a diameter of 21 meters

Section 0-9 Volume

Volume-

Rectangular Prism Cylinder

Section 0-9Ex1) Find the volumea) A rectangular prism with a

length of 8cm, width 1cm, and height of 5 cm.

b) A rectangular prism with a length of 4ft, width of 2ft, and height of 3 ft.

c) A cylinder with a radius of 3in and a height of 6in

d) A cylinder with a diameter of 10 cm, and a height of 8 cm