1. Bell Work
Factor the linear expressions:
15x – 25
-4x - 6

2. Translating Words into Math
Unit 3 – Expressions, Equations, and Inequalities

3. Operation
Verbal
Expressions
Algebraic

4. n + 3 n - 2 Operation Verbal Expressions Algebraic Add 3 to a number.
A number plus 3.
The sum of a number and 3.
3 more than a number.
A number increased by 3.
n + 3
Subtract 2 from a number.
A number minus 2.
The difference of a number and 2.
2 less than a number.
A number decreased by 2.
Take away 2 from a number.
n - 2

5. 4n or 4∙n n÷6 n/6 Operation Verbal Expressions Algebraic
4 times a number.
4 multiplied by a number.
The product of 4 and a number. 4n or
4∙n
6 divided into a number.
A number divided by 6.
The quotient of a number and 6.
n÷6
n/6

6. Example 1 Write the variable expressions for:
The total of h and 25.
h + 25

7. Example 2 Write the variable expressions for:
82 less than d.
d - 82

8. Example 3 Write the variable expressions for:
15 increased by k.
15 + k

9. Example 3 Write the variable expressions for:
The quotient of a and 7.
a ÷ 7

10. Example 4 Write the variable expressions for:
The cost of p pens priced at 29 cents each.
.29p

11. Try these! Write a variable expression for the following:
8 times the sum of x and 15.
7 less than the product of a number and 12.
13 divided by a number increased by 6.

12. Example 5
The Omelet Café buys several cartons of eggs. Each carton has 36 eggs. Write a variable expressions for the number of cartons the cafe should buy if they need x eggs.

13. Example 5
How many cartons would the Omelet Café need to buy if they needed 195 eggs?

14. Example 6
Evaluate the expression that you just found to find the price of having 3 pizzas delivered.
16(3) + 2
= $50

15. Example 7
The distance to the beach is fifty miles more than twice the distance to the mountains. If m is the distance to the mountains, write an expression that represents the distance to the beach.
2m + 50

16. How many miles away is the beach if the mountains are 203 miles away?
Example 7
How many miles away is the beach if the mountains are 203 miles away?
2(203) + 50
= 456

17. Try these! The sum of a number and12 is 39. What is the number?
The product of a number and 50 is What is the number?
8 less than the product of a number and 5 is 12. What is the number?