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# 1.1 What you should learn Why you should learn it Variables in Algebra

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1.1 What you should learn Why you should learn it Variables in Algebra
GOAL 1 Evaluate a variable expression. GOAL 2 Write a variable expression that models a real-life situation. Why you should learn it To express real-life number relationships.

1.1 Variables in Algebra 1 GOAL EVALUATING VARIABLE EXPRESSIONS
VOCABULARY variable values variable expression evaluating an expression

To evaluate a variable expression, follow these three steps:
Write the variable expression. Substitute values for variables. Simplify the numerical expression. EXAMPLE 1

Extra Example 1 Evaluate each expression when y = 3. Click for solutions. 1. 4y y y EXAMPLE 2

Extra Example 2 Find the average speed, of a car that traveled 89 miles in 2 hours. Solution: average speed 44.5 mi/h EXAMPLE 3

Extra Example 3 Find the perimeter, a + b + c, of the triangle. The dimensions are in centimeters. Click to see the solution. a = 1 b = 1.75 c = 2.25 Perimeter = a + b + c = = 5 cm

Checkpoint 1. Find the average speed of a car that travels 225 miles in 4.5 hours. 50 mi/h Find the perimeter of the triangle. The dimensions are in inches. Click for the answers. c = 6.7 a = 8 b = 8 EXAMPLE 4 22.7 in

convert the interest rate
Extra Example 4 Find the simple interest, Prt, you will earn in two years on a deposit of \$870 at a rate of 5% per year. Click for the solution. Simple interest = Prt = Did you remember to convert the interest rate to a decimal number? These units cancel. \$87

1.1 Variables in Algebra 2 GOAL MODELING A REAL-LIFE SITUATION
VOCABULARY Unit Analysis Verbal Model EXAMPLE 5

Extra Example 5 You plan to ride your bicycle to school and back at an average rate of 6 miles per hour for a distance of 10.5 miles. How long will it take you? Click to see the solution. VERBAL MODEL LABELS ALGEBRAIC MODEL Time = Time = t Distance = 10.5 miles Rate = 6 mi/h 1.75 hours

Checkpoint 1. Find the simple interest you will earn after one half of a year with a deposit of \$1250 at a rate of 6% per year. \$37.50 Your parents drive to the grocery store 9 miles away at 12:30 p.m. and return at 2:00 p.m. If the grocery shopping took 45 minutes, what was the average speed of their car? Click for the answers. 24 mi/h

QUESTIONS?

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