1. 1. 2.
Draw the four scales as shown. The top scale is the original. Describe what has been done in each step that modifies the variables, but maintains the balance of the scale. 3. 4.

2. Page 21
Write the numbers 1 through 5 as shown. Circle any number that would make the equation true.
Experiment with values of x using the numbers 1 through 5 for Equation 1.
Which values are solutions?
Look back at your solution for Equation 1. Try it in each of the Equations below using substitution.

3. Page 21 Step 1  Step 1  Step 2  Step 2  Step 3  Step 3  Step 4 

4. Page 22 Step 1  Step 1  Step 2  Step 2  Step 3  Step 3  Step 4 

5. Page 22 Equation: p + (p + 1) + (p + 2) = 24 pencils
Use a variable to represent the pencils contained on the first cup.
Lets use p to show the number of pencils in cup 1. If cup 1 holds p pencils, write an expression for cup 2 and then cup 3 based on the context clues given.
Cup 1: p pencils
Cup 2: p + 1 pencils
Cup 3: (p + 1) + 1 pencils
Equation: p + (p + 1) + (p + 2) = 24 pencils
Simplified Equation: 3p + 3 = 24 pencils

6. Page 24
Original
Step 1
Step 2
Step 3
Step 4

7. Page 25
Test 5 for x and 7 for y in each equation. Then test 8 for x and 13 for y in each equation.

8. Page 25 a. How long is the ribbon? Explain how you know.
b. What is the slope of the line?
c. Explain what the slope of the line represents and why it fits the story.