1. TEST: Thursday, November 12th
WARM UP INSTRUCTIONS:
The following two shapes have the same area.
What is the perimeter of the first rectangle?
A = 8x2 + 4x
2x+2
4x - 1
Agenda for November 5th:
Warm-Up Word Problems
Quiz Correction
Practice Test – Inequalities
TEST: Thursday, November 12th
Learning Intention:
Today we will
Solve word problems that involve equivalent areas
Explore inequalities with a range of solutions

2. Step 1: Find area of first rectangle
A = l x w
A= (4x – 1)(2x +2)
A= 8x2 +8x – 2x -2
A = 8x2 +6x - 2
Step 2: Make the two areas equal and solve for x
8x2 +6x – 2 = 8x2 + 4x
8x x2
6x – 2 = 4x
-6x x
-2 = - 2x
x = 1

3. Step 3: Substitute x = 1 to find dimensions of rectangle Length = 4x – 1 = 4(1) – 1 = 3 Width = 2x +2 = 2(1) + 2 = 4 Step 4: Find the perimeter of rectangle 1 𝑃=2𝑙+2𝑤 𝑃 = 2(3) + 2 (4) 𝑃 = 6 +8 𝑃 = 14 units The perimeter of the first rectangle is 14 units.

4. Solving for a Range of Solutions
JD and Phil are collecting cans to raise money for their hockey team. Their goal is to collect between 120 and 148 cans. JD collects 4 more than triple the number Phil does. How many cans must Phil collect to meet their goal? Phil: x JD: 3x +4
x + 3x + 4 > 120
4x + 4 > 120
4x > 116 4
X > 29
x + 3x + 4 < 148
4x + 4 < 148
4x < 144
x < 36
Phil will have to collect between 29 and 36 cans to meet their goal.