1. Thursday Homework: Equations worksheet #1 &
study for quiz (on fractions, decimals, integers, & order of operations)
1st:Fill out planner
2nd: Get out homework and warm up sheet
3rd: Grab homework sheet
4th: Complete warm up below:
−𝟏𝟓+𝟏𝟐
−𝟑𝟏−𝟓
−𝟕𝟐 −𝟗
𝟐𝟎(−𝟏𝟎)
𝟏𝟕.𝟏𝟏 −𝟎.𝟒
−𝟐.𝟒(5.1)
−𝟎.𝟐𝟕 ÷(−𝟎.𝟑)
Friday

2. 1. Dress code check
2. Go over homework – Trade & Grade
3. Cornell Notes – One Step Equations
5. Practice & Homework

3. 1.1 One-Step Equations
Essential Question: How do you solve for a variable in an equation?
Encourage participants to take notes on the steps of the CORNELL WAY.

4. Class Notes 1.1 One-Step Equations
Essential Question: How do you solve for a variable in an equation?
Class Notes

5. Equation: math statement that shows one side is = to the other
Encourage participants to take notes on the steps of the CORNELL WAY.

6. 7 x 3 Equation: math statement that shows one side is = to the other
Variable: Letter that represents a #
Coefficient: the number in front of the variable
It is a number that is multiplied by a variable in an algebraic expression. 7 x
Coefficient
Variable
A variable by itself has a coefficient of 1 y = 1y
Constant: a number by itself 3
Constant

7. Vocabulary Inverse operations undo each other. Addition & subtractionOr
Multiplication & Division
If an equation contains addition, solve it by subtracting from both sides to “undo” the addition.

8. Ex x + 87 = 152
Encourage participants to take notes on the steps of the CORNELL WAY.

9. Solve the equation. Check your answer.
x + 87 = 152
x + 87 = 152
87 is added to x.
– 87
– 87
Subtract 87 from both sides to undo the addition.
x = 65
Check x + 87 = 152
Substitute 65 for x in the equation.
= 152 ?
152 = 152 ? 
65 is the solution.

10. Solve the equation. Check your answer.
18 is added to y.
–18
–18
Subtract 18 from both sides to undo the addition.
54 = y
Check 72 = 18 + y
Substitute 54 for y in the equation.
72 = ?
72 = 72 ? 
54 is the solution.

11. Social Studies Application
Johnstown, Cooperstown, and Springfield are located in that order in a straight line along a highway. It is 12 miles from Johnstown to Cooperstown and 95 miles from Johnstown to Springfield. Find the distance d between Cooperstown and Springfield.
It is _____ miles from Cooperstown to Springfield.
Draw a Picture of map:
distance between Johnstown and Springfield
distance between Johnstown and Cooperstown
distance between Cooperstown and Springfield = +
= d
95 = 12 + d
12 is added to d.
–12
–12
Subtract 12 from both sides to undo the addition.
83 = d

12. Solve y – 23 = 39. Check your answer.
23 is subtracted from y.
+ 23
+ 23
Add 23 to both sides to undo the subtraction.
y = 62
Check y – 23 = 39
62 – 23 = 39 ?
Substitute 62 for y in the equation.
39 = 39 ? 
62 is the solution.

13. Solve each equation.
1. x + 15 = 72
2. 81 = x + 24
6. Susan is taller than James. The difference in their height is 4 inches. James is 62 inches tall. How tall is Susan?
x = 57
x = 57
3. x – 9 = 21
4. 14 = x – 3
x = 30
66 inches
x = 17
5. Kaitlin is 2 inches taller than Reba. Reba is 54 inches tall. How tall is Kaitlin?
56 inches

14. Solving Multiplication Equations
Solve the equation. Check your answer.
5p = 75
p is multiplied by 5.
5p = 75
Divide both sides by 5 to undo the multiplication. 5 5
p = 15
Check 5p = 75
5(15)= 75 ?
Substitute 15 for p in the equation.
75 = 75 ? 
15 is the solution.

15. Check 16 = 8r Solve the equation. Check your answer. 16 = 8r
r is multiplied by 8.
16 = 8r
Divide both sides by 8 to undo the multiplication. 8 8
2 = r
Check 16 = 8r
16 = 8(2) ?
Substitute 2 for r in the equation.
16 = 16 ? 
2 is the solution.

16. Problem Solving Application
The area of an iPad is 56 square inches. Its length is 8 inches. What is its width?
It’s width is _________inches. w 56
Important information or Draw a picture: 8
Make a plan

17. Practice
Solve each equation.
1. 10y = 300
2. 2y = 82
3. 63 = 9y
4. 78 = 13x
y = 30
y = 41
y = 7
x = 6
5. The area of a board game is 468 square inches. Its width is 18 inches. What is the length?
26 inches

18. Solving Division Equations
Solve the equation. Check your answer. x 7
= 5
x is divided by 7. x 7
= 5
7  x 7
= 7  5
Multiply both sides by 7 to undo the division.
x = 35
Check x 7
= 5 35 7
= 5 ?
Substitute 35 for x in the equation.
5 = 5 ?
35 is the solution. 

19. Solve the equation. Check your answer. p 6 13 =
p is divided by 6. p 6
13 =
6  p 6
6  13 =
Multiply both sides by 6 to undo the division.
78 = p
Check p 6
13 = ? 78 6
13 =
Substitute 78 for p in the equation.
13 = 13 ?
78 is the solution. 

20. The pine tree is 42 feet tall.
Application
At Elk Meadows Park an aspen tree is one-third the height of a pine tree.
height of pine
height of aspen = 3
The aspen tree is 14 feet tall. How tall is the pine tree?
Let h represent the height of the pine tree.
Substitute 14 for height of aspen. h is divided by 3. h 3
14 =
3  h 3
3  14 =
Multiply both sides by 3 to undo the division.
42 = h
The pine tree is 42 feet tall.

21. Jamie’s father weighs 190 pounds.
Jamie weighs one-half as much as her father.
father’s weight
Jamie’s weight = 2
Jamie weighs 95 pounds. How many pounds does her father weigh?
Let w represent her father’s weight.
Substitute 95 for Jamie’s weight. w is divided by 2. w 2
95 =
2  w 2
2  95 =
Multiply both sides by 2 to undo the division.
190 = w
Jamie’s father weighs 190 pounds.

22. Solve each equation. Check your answers.x 10
x = 70
= 7 = x 4
x = 44
The area of Sherry’s flower garden is one- fourth the area of her vegetable garden. The area of the flower garden is 17 square feet.
Let x represent the area of her vegetable garden. Find the area of her vegetable garden.
68 square feet