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High School Mathematics
1.5 Algebraic Equations and Expressions

An expression or algebraic expression is a phrase, a sentence fragment. We can simplify an expression and has no relation symbol.

a number less than ten
x < 10
two less than a number
x - 2

An equation or algebraic equation is a sentence. We have to solve an equation to find the value or solution. It has a relation symbol "equal to".
Ten is five less than a number.
10 = x - 5

An Inequation is also a sentence with a greater than or less than sign.
A number is less than five.
x < 5
Directions: Choose the correct answer for each question. Explain in your own words what algebraic expressions, equations, and inequations are and give examples.
Q 1: Write an expression for the total area of a rectangle with height 3 and length a + b.
3(a + b)

Q 2: Solve: 56 = f/9

Q 3: Which property says (8 x 4) x 5 = (5 x 4) x 8?
Multiplicative Identity

Q 4: Solve: 10 - 5t = 50

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