__Chapter 1__

**Decimals for whole numbers**

Ex: What is decimal for “two million, two”?

Answer: 2,000,002

**Decimals for numbers between whole numbers**

Ex: Which is larger 3.1 or 3.12?

Answer: 3.12

**Estimating by rounding up or rounding
down**

Ex: Round 4.356 up and down to tenths spot.

Answer: Up it is 4.4 Down it is 4.3

**Estimating by rounding to the nearest**

Ex: Round 4.356 to the nearest tenth.

Answer: 4.4

**Decimals for simple fractions**

Know decimals for fractions that have a denominator of 2, 3,
4, 5, 10, 20, and 50.

Ex: What is decimal for 11/20?

Answer:
.55

**Decimals for mixed numbers**

Ex: What is the
decimal for 3 ^{1}/_{4} ?

Answer:
3.25

**Negative numbers**

Ex: Where is -3.25 is located** **on the number line
below?

Answer:

**Comparing numbers**

Ex: What is larger -3.4 or -3.6?

Answer: -3.4

**Equal Fractions**

Ex: Simplify
^{12}/_{40}?

Answer:
Divide both numerator and denominator by 4 and get
^{3}/_{10}.

__Chapter 2__

**Multiplying by 10, 100,
...**

Ex: 45.6 x 100 =

Answer: 4560 since decimal moves two times to the right.

**Powers**

Ex: Calculate
3^{4}

Answer:
3^{4} = 3 · 3
· 3
· 3
= 81

**Scientific notation for large numbers**

Ex: What is 45,000 in scientific notation?

Answer:
4. 5 x 10^{4}

**Multiplying by ^{1}/_{10},
^{1}/_{100}, ...**

Ex: What is
64.5 x ^{1}/_{100}

Answer: .645 since the decimal point moves twice to the left.

**Percent of a quantity**

Ex: What is 15% of 200?

Answer: 30

**From decimals to fractions and percents**

Ex: What is the fraction and decimal for 12%?

Answer: Decimal is .12 and fraction is
^{12}/_{100} = ^{3}/_{25.}

**Circle graphs**

Ex: If 450 students took the test how many made a B?

Answer: 81 ( .18 x 450)

**More powers of Ten**

Ex: 56.47 x
10^{4} =

Answer: 564,700

**Scientific notation for small numbers**

Ex: What is .0045 written in scientific notation?

Answer:
4.5 x 10^{-3}

__Chapter 3__

**Measuring length**

Ex: Know how to use a ruler to measure in inches and centimeters.

**Converting lengths AND Weight and Capacity in the
customary system of measurement**

Ex: Know the conversions given below:

1 mile = 5280 feet

1 inch = 2.54 cm

1 km ».62 miles

1 meter »39.37 inches

1 pound = 16 ounces

1 kilogram » 2.2 pounds

**The Metric system of measurement**

Ex: 4km =
__ __ meters

Answer: 4000 (remember your chart: km hm dkm m dm cm mm)

**Measuring Angles**

Ex: Use your protractor to measure the given angle.

Answer: ÐABC
is 45 degrees.

**Kinds of Angles**

Ex: What is an obtuse angle?

Answer: An angle that is between 90 and 180 degrees.

**Measuring Area**

Ex: What is the area of a rectangle with sides of 9 cm and 5 cm?

Answer: 45
cm^{2}

**Measuring Volume**

Ex: What is the volume of a cube that is 3 cm on each side?

Answer:
27cm^{3}

__Chapter 4__

**Order of operations**

Ex: 5 + 3 ·
2^{2} - (4 + 1)

Answer: 12

**Describing Patterns with variables**

Ex: From the three given instances what is the general pattern?

4 x 1 = 4

5 x 1 = 5

8 x 1 = 8

Answer: a · 1 = a

**Translating words to Algebraic
expressions**

Ex: Translate the expression “ the sum of a number and two divided by the product of the number and three”

Answer:
_{}

**Evaluating Algebraic Expressions**

Ex: Evaluate
5n^{2} when n = 2

Answer:
20 since
in 5 ·
2^{2} you do powers first

**Parentheses or Brackets**

Ex: Evaluate (3 + 2) (20 – (3 + 10)

Answer: 35 since you do inner most parentheses first

**Probability**

Ex: If I buy n tickets and y are sold what is my probability of winning?

Answer:
_{}

**Inequalities**

Ex: Graph -2< n £4 on a number line

Answer:

__Chapter 5__

**Zero and Opposites**

Ex: -(-(-3)) =

Answer: -3

**Rules for adding positive and negative numbers**

Ex: -5 + 3 =

Answer: -2

**Combining turns**

Ex: How many degrees does the minute hand of a clock move in 1 minutes?

Answer: 6 degrees since 360/60 is 6.

**Adding positive and negative fractions**

Ex:
^{2}/_{5} + ^{1}/_{3} =

Answer:
^{11}/_{15} (Remember to get a
common denominator when adding)

**Adding probabilities**

Ex: If events A and B are mutually exclusive and P(A) = 30% and P(B) = 40%, what is

P(A or B)?

Answer: 70%

**Commutative and Associative properties**

Ex: Which is commutative and which is associative of the following:

4 + 3 = 3+ 4 (1+ 2) + 3 = 1 + (2 + 3)

Answer: Commutative Associative

**Polygons**

Ex: What is the name of the polygon that has 8 sides?

Answer: Octagon

**Adding lengths**

Ex: If points A, B, C, and D are points in a straight line, what is AB if

AD = 10 cm

BC = 5 cm

CD = 2 cm

Answer: 3 cm

__Chapter 7__

**Two models for subtraction**

Ex: If points A, B, C, and D are points in a straight line, AD – CD =

Answer: AC

**The slide model for subtraction**

Ex: -6 -3 =

Answer: -9

**Solving a - x = b**

Ex: 8 – n = 10

Answer: -2

**Counting and probability with
overlap**

Ex: Draw a Venn diagram that shows that 20 people play soccer, 10 play tennis, and 4 do both.

Answer:

**Angles and parallel
lines**

Ex: Know how to
find the missing angles given any picture.
Key words to know are parallel, perpendicular, ray, line, line segment,
*etc.*

**Special Quadrilaterals**

Ex: All angles in a quadrilateral add up to how many degrees?

Answer: 360 degrees

**The triangle-sum
property**

Ex: All angles in a triangle add up to how many degrees?

Answer: 180 degrees

__Chapter 8__

**Coordinate graphs**

Ex: In which quadrant are the x and y values all negative?

Answer: Third (-,-)

**Graphing lines**

Ex: Make a t-chart of three possible solutions to y = 2x + 1 and then graph it.

Answer:

x |
y |

2 | |

5 | |

0 |
1 |

3 |
7 |

**Translations**

Ex: What happens to the graph of a figure when -3 is added to the x-coordiante and 2 is added to the y-coordiante?

Answer: The figure moves to the left 3 units and up 2 units.

**Reflections**

Ex: If A’ is the reflection of A and the distance from A to the reflection line is 4 cm, AA’ =

Answer: 8 cm

**Reflection symmetry**

Ex: The letter A has what type of line of symmetry?

Answer: Vertical

__Chapter 9__

**Area model for multiplication**

Ex: What is the area of a right triangle that has a base of 5 cm and a height of 8 cm?

Answer: 20
cm^{2}

**Volumes of rectangular solids**

Ex: What is the volume of a cube that is 5 cm on each side?

Answer:
125 cm^{3}

**Multiplication of fractions**

Ex:
^{6}/_{7} x ^{7}/_{9} =

Answer:
^{2}/_{3}

**Multiplying probabilities**

Ex: What is the probability that it will rain three days in a row if the probability for rain every day this week is 70%? Assume that each day is independent from the day before.

Answer: 34.3% (.7 · .7 · .7)

**Multiplication with negative numbers and zero**

Ex: -5 · -2 · -1 =

Answer: -10

**Size changes - Expansions**

Ex: What happens to the sides of ΔA’B’C’ if ΔABC is multiplied by 3?

Answer: The sides get three times longer.

**Size changes - Contractions**

Ex: What happens to the sides of ΔA’B’C’ if ΔABC is multiplied by ½ ?

Answer: The sides contract to ½ the original size.

**Picturing Multiplication with negative
numbers**

Ex: What happens to ΔA’B’C’ if ΔABC is multiplied by -3?

Answer: The sides get three times longer and the figure rotates 180 degrees.