Term 3 Test : Thursday, June 3

Topics:

Fractions- adding, subtracting like and unlike denominators and mixed numbers




Integers- adding, subtracting positive and negative numbers, using number lines and chips

Algebra- 1 step and 2 step problems, check your answer

Measure of Central Tendency- mean, median, mode, range, and outliers

Remember:
-the test is Scantron
-30 questions
-no extra time to finish your test

Exam Review- Study Guide

1. 27.53 + 1.09 + 62.78 + 9.87 = ?
2. 849.37 - 26.08 - 3290165 = ?
3. 13.94 x 22 = ?
4. 451.231 ÷ 24.13 = ?
5. 223.8704 ÷ ? = 59.54

6. 6 + 2 x 4 = ?

7. 8 ÷(1+3)(6-2) + 3squared = ?
8. 4cubed -(5x2-5)-(20+13x3) = ?

Don't forget to study all of your term 3 notes to be prepared for you test! Good Luck! ☺☻

This is a video of how to subtract mixed numbers with unlike denominators.


This is a video on how to add and subtract integers.


This is a video on how to do 2 step algebra.


These two videos are on Measure of Central Tendency: Mean, Median, Mode, and Range.

Measure of Central Tendency

Measure of central tendency
-is a value that represents the center of a set of data
-can be median, mode, mean

Remember:

-When given a set of data always reorder the digits from least to greatest.

Median
-the middle number in a set of data after the data has been arranged or ordered, only if there is an odd number of items in the data

-if there is an even number of items in the data the sum of the 2 middle numbers in the data set are divided to get the total

eg. 2, 5, 6, 8, 9, -median is 6

1, 3, 6, 8, 9, 10 -median is 7
-----(6+8) ÷ 2 =7

3, 8, 2, 6, 5, 4, -median is 4.5
2, 3, 4, 5, 6, 8,
----(4+5) ÷ 2 = 4.5

Mode
-the most frequent occurring number in the set of data

-if you find no number that repeats most often, then there is no mode.

eg. 3, 5, 7, 7, 9 -mode is 7

2, 2, 4, 6, 6, 8, 11 -mode is 2 and 6


1, 2, 3, 4 -mode; there is no mode


Try this:

Montreal scored the following goals in their last 10 games

5, 4, 3, 2, 1, 5, 3, 3, 7, 3

-Find the median and the mode:

1, 2, 3, 3, 3, 3, 4, 5, 5, 7

----------(3+3) ÷ 2 = 3

median- 3
mode- 3

Frequency Table

8, 8, 8, 10, 10, 11, 11, 11, 14, 14

----------(10+11) ÷ 2 = 10.5

median- 10.5

mode- 8, 11

Mean
-a measure of rental tendency

-the sum (adding) of a set of data divided by the number of values in set


eg. 4, 5, 8, 9, 9

- 4+5+8+9+9=35
- 35 ÷ 5 =7


Try this- mean, median, mode


a) 4, 5, 6, 7, 7, 8, 8, 9, 9

mean-7, median-7, mode-7


b) 250, 250 300, 300, 400

mean-300, median-300, mode-250, 300

Review: Solving One Step Algebra Equations

Apply the opposite operation

Remember
-an opposite operation is an operation that "undoes" another operation.
-subtraction and adding are opposites
-division and multiplication are opposites
-whatever you do one side you must do the same to the other side to maintain balance


1st step- isolate the variable/get the letter by itself
2nd step- apply opposite operation
3rd step- check the answer, substitute the answer for the letter of the original equation

A+5=7
-5 -5
A=2
Check your answer:
A+5=7
2+5=7
7=7

To extend our knowledge, we had equations to solve:

a) b-3=5
- +3 +3
- b=8
Check your answer:
b-3=5
8-3=5
8=8

b) c÷3=7
- x3 x3
- c=21
Check your answer:
c÷3=7
21÷3=7
21=21

c) 4d=16
- ÷4 ÷4
- d=4
Check your answer:
4d=16
4(4)=16
16=16

Other examples:



















HOMEWORK: Pg. 405=407 #1-21

Solving One Step Equations

View more presentations from Kelly Williams.

Solving one-step equations

1. Using inspection, mental math

Eg. a + 4 = 12
8 + 4 = 12
12 = 12

Ask yourself what something + 4 = 12 or 12 - something = 4

Try these:

14 = k + 5
14 = 9 + 5

t - 3 = 11
14 - 3 = 11

10 - y = 8
10 - 2 = 8


2. Model (make a picture) and solve

Eg.


Bill rides 4 km to the bridge then rides to work. In total he rides 11 km. How far from the bridge to work?



4 + y = 11

4 + 7 = 11






3. Apply the opposite operation


Eg. c + 22 = 56
- 22 = -22
c = 34

Check- c + 22= 56
34 + 22 = 56
56 = 56



1st step - Isolate the variable (get the letter by itself)

2nd step - Apply the opposite operation

3rd step - Check your answer. Substitute the answer for the letter of the original equation



Opposite operation - An operation that "undoes" another operation
* subtraction and addition are opposites
* division and multiplication are opposites

Solve by applying the opposite operating - Check your answer:


1. n + 7 = 26
- 7 = -7
n = 19

Check - n + 7 = 26
19 +7 = 26
26 = 26

2. d - 3 = -5
+3 = +3
d = -2



Check - d - 3 = -5
(-2) - 3 = -5
-5 = -5








Page 398-401 # 1-22 is HOMEWORK!
http://www.mytextbook.ca/