Grade 9 Math

Equations and Inequalities Unit Assessment Outline

Assessment Date: Wednesday February 9th, 2011

Outcomes Assessed
B2 add, subtract, multiply, and divide rational numbers in fractional and decimal forms using the most appropriate method
A4 demonstrate an understanding of the inter-relationships of subsets of real numbers
C6 solve single-variable equations algebraically, and verify the solutions
C7 solve first-degree single-variable inequalities algebraically, verify the solutions, and display them on number lines
A2 graph, and write in symbols and in words, the solution set for equations and inequalities involving integers and other real numbers
C8 solve and create problems involving linear equations and inequalities

For this assessment you should be able to:

1)  Fundamental Skills:

·  Add, Subtract, Multiply and Divide Integers

2)  Real Numbers

·  Know the names of the subsets of the real number system and the symbols for each set. Real Numbers – R, Rational Numbers Q, Integers I, Whole Numbers W, Natural Numbers N, and Irrational Numbers Q.

·  Be able to classify a number by what set/subset(s) it belongs to.

Examples: Page 19, Questions 1,2 and 7

3)  Equations:

·  Solve type 1, 2, 3 and 4 equations and

·  verify your solution.

Examples

Type 1: x + 3 = 10 x – 5 = 2 x/5 = 9

Type 2: 2x + 5 = 8 3x – 6 = 10 x/6 + 4 = 18

Type 3: 3(x+5) = 10 2x + 3 = 7x - 5

Type 4: 2(x+5) = 3x – 8 + 1 + x (bonus)

Example Solution:
2x + 5 = 9
2x + 5 – 5 = 9 – 5 “Make 0”
2x = 4 “Make 1 x”
2  2
x = 2 / Verify:
2x + 5 = 9
2(2) + 5 = 9
4 + 5 = 9
9 = 9

4) Inequalities:

·  Solve 1 step and 2 step inequalities,

·  verify your solution (both parts),

·  display your answer on a number line.

Example Solution
Type 1: x + 3 < 5
Solve: x+ 3 – 3 < 5 – 3
x < 2
Show your solution on a number line:
/ Verify:
Check that 2 is the correct #
(2) + 3 = 5
5 = 5
Check that < is the correct sign. Choose x<2 , try 1 .
(1) + 3 < 5
4 < 5 So < is the correct sign.

4) Set Notation:

·  Write the set notation for a solution represented on a number line.

·  Graph the set notation on a number line.

Examples:

a) Write the inequality represented on this number line.

b) Graph the following set notation:

{x | x < 3, x Є R}

Examples

Pages 148 and 149 Q#1,2,3,7 and 10

5)  Problem Solving

·  solve and create problems involving linear equations and inequalities

Examples:


Textbook Page 162 Q# 3, 4 and 5 and page 167 Q#15.