This document discusses the difference between algebraic expressions and algebraic equations. It defines an algebraic expression as a mathematical phrase that combines numbers and/or variables using operations but does not contain an equal sign. An algebraic equation is defined as a mathematical sentence that combines numbers and/or variables using an equal sign to show the equality of two expressions. It provides examples of expressions like x - 5 and equations like 10 = x - 5. The document sorts phrases into the appropriate category and has students practice writing verbal phrases as mathematical expressions or equations.

1. ALGEBRAIC EXPRESSIONS
VS.
ALGEBRAIC EQUATIONS

2. WHO WANTS TO BE A
PINOY HUNDREDAIRE!

14. Determine which of the following are sentences
(complete idea) and which are phrases (not
complete thought).
a.Ten is five less than a number.(10 = x – 5)
b. Four increased by a number is nine.( 4 + n = 9)
c. five less than a number (x – 5)
d. four increased by a number (4 + n)
sentence
sentence
phrase
phrase

15. EXPRESSION
An expression is a mathematical phrase that
combines numbers and/or variables using
mathematical operations. There is no equal
sign. Examples:
x – 5 4 + n

16. EQUATION
An equation is a mathematical sentence that
combines numbers and/or variables that shows the
equality of two expressions. There must be an equal
sign.
Examples:
10 = x – 5 4 + n = 9

17. Sort the following verbal and mathematical
phrases/sentences into the appropriate categories.

19. Choose the appropriate term to describe the math
phrases/sentences below.

20. ALGEBRAIC EXPRESSION
Algebraic expression is a combination of
variables, numbers, and/or operations that
represents a mathematical relationship, but
no statement of equality or inequality.
(DOES NOT HAVE AN equal sign)

21. ALGEBRAIC EQUATION
Algebraic equation is a mathematical
statement that two or more expressions are
equal. (MUST HAVE AN equal sign).

22. Write the given verbal phrases or sentences as mathematical
expressions/equations inside the box. Then, identify if each of the
following is algebraic EXPRESSION or EQUATION.

24. ASSIGNMENT
a) Follow-up: Give at least three (3) examples of
algebraic expressions and (3) examples of
algebraic equations.
b) Study: Translating English sentences to
mathematical sentences and vice versa