Solving One-Step Equations

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Transcript Solving One-Step Equations

Class Starter
8-14-13
Evaluate the expression. Then,
using order of operation rules,
describe how to evaluate it.
42 – 2 ∙ 5 + (8 – 2)
pg. 5
Vocabulary
• Variable
• Algebraic expression
• Numerical expression
Variable
A variable is a symbol, usually a letter, that
represents one or more numbers.
Examples:
a
b
c
x
y
z
Algebraic Expression
An algebraic expression is a mathematical
phrase that can include numbers, variables, and
operation symbols (operators).
Examples:
n+7
n–7
7∙n
n÷7
Common Operators
+
-
x
÷
Numerical Expression
When you replace n with a number such as 10,
this is called substitution.
The algebraic expression
becomes the numerical expression
7∙n
7 ∙ 10
Evaluate the Numerical Expression
8 + 5 ∙ (12 – 6 ÷ 3)
Fraction Bar
Evaluate
6 + 42
32 ∙ 4
Use substitution to evaluate the algebraic expression.
In this case, substitution means replacing the letter (variable) with a number.
Evaluate
4a – 3b + 1
if a = 5, b = 4, c = 8
Evaluate each expression if m = 9, n = 2, and p = 5.
25 – 5p
4 + 6𝑚
2𝑝 − 8
Assignment − Evaluating Expressions
÷ (16 – 12) ∙ 3
1)
43
3)
8 + 2(4 −1)
32 − 2
2)
36
32 − 3
4) 4 – 3 + 7(12 – 22)
For problems 5-8, evaluate each expression
if w = 2, x = 6, y = 4, and z = 5
5) 2x + y
7) (wx)2
6) 3z – 2w
8)
𝑥2 − 3
2𝑧 + 1