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Date:___________________

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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.

Example:
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".
Example:
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.

Name: ___________________

Date:___________________

High School Mathematics
1.5 Algebraic Equations and Expressions

Q 1: Which property says (8 x 4) x 5 = (5 x 4) x 8?
Commutative
Multiplicative Identity
Distributive
Associative

Q 2: Solve: 10 - 5t = 50
8
12
-12
-8

Q 3: Solve: 3x + 10 = 25
6
45
12
5

Q 4: Solve: 56 = f/9
532
7
504
63

Q 5: Which property says 5 + 8 = 8 + 5?
Additive Identity
Distributive
Associative
Commutative

Q 6: Solve: 15n = 225
210
15
3125
25

Q 7: Solve: 5x + 10y = 30
x = 4 and y = 1
x = 2 and y = 2
x = 6 and y = 0
cannot solve for 2 unknowns with 1 equation

Q 8: Write an expression for the total area of a rectangle with height 3 and length a + b.
3a+b
3ab
3(a + b)
(ab)3

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