1. Write an equation for each of the following.
The sum of x and 11 is 12.
The quotient of a number and five is thirty.
The product of eight and Sarah’s age is 52.
The difference of Dave’s test grade and four is thirty-six.
Jose earns $12/hour. He earned $240 last week. How many hours did he work?
x + 11 =12
x 5
= 30
Let x = a number
Let x = Sarah’s age x = 52
Let x = Dave’s test grade x – 4 = 36
Let x = number of hours
(pay per hour)(number of hours) = pay earned
12x = 240

2. Write and solve an equation to answer the question.
The high score on a video game is points. This is 1500 points higher than the lowest score. What is the lowest score?
HINT: Remember to write your “knows and Finds”,
write an equation using words first.
For example:
(number of pencils bought)(cost per pencil) = cost of all pencils

3. Know Find
High score = The low score High score is 1500 more than low score
High score, Low Score, Number of points between high and low score
Let x = low score High Score = low score
= x
13000 – 1500 = x – 1500
(-1500) = x + (-1500)
= x
The Low Score is points.

4. Lesson 2.6: Solving Equations using Multiplication and Division
Don’t Write
Multiplication and Division Properties of Equality: Multiplying or Dividing BOTH SIDES of an equation by the SAME number results in an equivalent equation – the equation is true.
B.S. of Algebra – must do the SAME to BOTH SIDES
“What is being done to variable?”
YOU do the INVERSE to BOTH SIDES

5. Examples:
3x = What is being done to variable?
Mult. by 3
What do you have to do?
Div. B.S. by 3
x = 7
What is being done to variable?
Div. by –2
What do you have to do?
Mult. B.S. by -2 1 1
x = -16

6. Examples:
3) -13y = What is being done to variable?
Mult. by -13
What do you have to do?
Div. B.S. by -13
y = 5
4) What is being done to variable?
Div. by 6
What do you have to do?
Mult. B.S. by 6 1 1
n = 54

7. 36 = 2y +10y
2y + 10y = 36
12y = 36 12
y = 3
p , #8-22 evens