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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
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.
Q 1: Write an expression for the total area of a rectangle with height 3 and length a + b.
3ab
3a+b
3(a + b)
(ab)3

Q 2: Which property says (8 x 4) x 5 = (5 x 4) x 8?
Associative
Multiplicative Identity
Commutative
Distributive

Q 3: Solve: 15n = 225
210
3125
15
25

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

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

Q 6: Evaluate the expression 3(a + b) + 6(2a - 2b) when a = -3 and b = -4.
-9
9
8
-10

Q 7: Solve: 10 - 5t = 50
-12
8
-8
12

Q 8: Solve: 56 = f/9
63
532
7
504

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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