1. 1-1: Writing Expressions and Equations

2. ? Lesson Opener ? represents a number. That number plus ten equal 14.
How do we represent the number algebraically? ?

3. WHAT YOU’LL LEARN
Translate words into algebraic expressions and equations.

4. BUILD YOUR VOCABULARY (pages 2–3)
An algebraic expression contains numbers and variables along with +, -, x, and/or ÷.
A variable is a symbol used to represent an unknown number.
A numerical expression contains numbers along with +, -, x, and/or ÷.

5. BUILD YOUR VOCABULARY (pages 2–3)
A factor is a quantity that is being multiplied.
A product is the result of numbers that are multiplied.
An equation is a mathematical sentence that contains an equals sign (=).

6. ORGANIZE IT
In your notes, write
several words or
phrases for each of
the operations,
addition, subtraction,
multiplication, and
division.

7. Addition Subtraction plus the sum of increased by more than added to
The total of
minus
the difference of
decreased by
less than
fewer than
subtracted from

8. Multiplication Division
Times
The product of
Multiplied by At Of
Divided by
The quotient of
The ratio of
per

9. Write an algebraic expression for each verbal expression.
EXAMPLES
Write an algebraic expression for each verbal expression. 1
the sum of p and 12
p + 12 2
the product of k and q
k  q or kq

10. Your Turn
Write an algebraic expression for each verbal expressions
a) b decreased by 6
b) the product of 9 and z
b – 6
9  z or 9z

11. A python eats 4 pounds of meat each month.
EXAMPLES
A python eats 4 pounds of meat each month. 3
Write a numerical expression to represent the amount it eats in 5 months.
The numerical expression is 4  5 or 4(5). 4
Write an algebraic expression to represent the amount it eats in d months.
The algebraic expression is 4  d or 4d.

12. Write a verbal expression for each algebraic expression.
EXAMPLES
Write a verbal expression for each algebraic expression. 5
the sum of and s .
37 + s
37 increased by s. 6
5 (b – 3)
5 times the difference of b and 3.
5 multiplied by the difference of b and 3.

13. Your Turn Write a verbal expression for each algebraic expression
a) x ÷ 7
b) 4 + (2n)
X divided by 7
the sum of 4 and the product of 2 and n.

14. An equation is a mathematical sentence that contains an equals sign (=). Words are used to indicate the equals sign. An equation may contain numbers, variables, or algebraic expressions.
Equality
Equals Is
Is equivalent to
Is equal to
Is the same as
Is as much as
Is identical to

15. Write an expression for each sentence.
EXAMPLES
Write an expression for each sentence. 7
The quotient of t and 8 equals 20.
t ÷ 8 = 20 or t/8 = 20 8
Seven less than three times g is 31.
3g = 31

16. Write an expression for each sentence.
Your Turn
Write an expression for each sentence.
a) A number x increased by 12 is the same as 27.
b) The product of 8 and d decreased by equals 23.
X + 12 = 27
8d – 9 = 23

17. Write a sentence for each equation.
EXAMPLES
Write a sentence for each equation. 9
j + 4 = 21
Four more than j is equal to 21. 10
3z – 12 = 11
The product of 3 and z
decreased by 12 equals 11.

18. Your Turn Ten less than r is equal to 5.
Write a sentence for each equation.
a) r = 5 b)
Ten less than r is equal to 5.
The quotient of n and 3 increased by 6 equals 30.