Transcript IM 1 Review: Chapter 1 - Appleton Area School District

IM 1 Review:
Chapter 1
Integrated Math 2
Evaluating Expressions
Evaluate the variable expression when x = 4 and y = 8:
x2 + 3y
(4) 2  3(8)
16  24
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Order of Operations
P arenthesis
E xponents
Multiplication
D ivision
A ddition
S ubtraction
Order of Operations
Evaluate using the order of operations:
(3 + 2)2 – 3 × 4 ÷ 2
(5)2 – 3 × 4 ÷ 2
25 – 3 × 4 ÷ 2
25 – 12 ÷ 2
25 – 6
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Writing Equations and Inequalities
from Sentences
The quotient of 58 and a number is 29.
58 ÷ n = 29
The difference of a number and 12 is less than 3.
n – 12 < 3
Sum: +, Difference: -, Product: ×, Quotient ÷
Word Problems
A car company charges $25 per day plus 10
cents per mile to rent a car. If your bill was
$30, how many miles did you drive the car?
Step one: write a verbal model.
Cost per day + Mile charge × Miles driven = total cost
Word Problems
Cost per day + Mile charge × Miles driven = total cost
Step 2: Assign labels to your model:
Cost per day = 25
Mile charge = .10
Miles driven = x
Total Cost = 30
Step 3: Insert your labels
25 + .10x = 30
Word Problems
Once you have your equation, solve it:
25 + .10x = 30
-25
-25
.10x = 5
.10 .10
x = 50 miles