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

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

  2. 1.1 Variables in Algebra EVALUATING VARIABLE EXPRESSIONS 1 GOAL • VOCABULARY • variable • values • variable expression • evaluating an expression

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

  4. Evaluate each expression when y = 3. Click for solutions. 1. 4y 2. 3. y + 8 4. 18 - y EXAMPLE 2 Extra Example 1

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

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

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

  8. 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

  9. 1.1 Variables in Algebra 2 GOAL MODELING A REAL-LIFE SITUATION EXAMPLE 5 • VOCABULARY • Unit Analysis • Verbal Model

  10. VERBAL MODEL Time = LABELS ALGEBRAIC MODEL 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. Time = t Distance = 10.5 miles Rate = 6 mi/h 1.75 hours

  11. 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

  12. QUESTIONS?

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