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Learn how to evaluate variable expressions by replacing variables with numbers and using order of operations. Examples provided. Practice sheets included. Homework assigned. Great preparation for algebraic expressions.
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8-28-12 Math 7 • Bellwork #2 • Please have the following on your desk: • Name Tag • Math book • HW • Red Pen • Pencil
1-3 EVALUATING EXPRESSIONS p.13 You can EVALUATE a variable expression by replacing each variable with a number. Then use the order of operations to simplify.
EXAMPLES • Evaluate 14 – 10 + 8 Use order of operations to first subtract, then add. This numeric expression simplifies to 12. • Evaluate 4y – 15 for y = 9. Replace the variable with 9 and rewrite the expression as 4(9) -15. Then use order of operations to simplify to 36 – 15 and simplify again to 21.
Try This • 63 – 5x, for x = 7 • 4(t + 3) + 1 for t = 8
Try This 28 45 • 63 – 5x, for x = 7 • 4(t + 3) + 1 for t = 8
EXAMPLE 2 • Evaluate For a = 2, b = 5 and c = 10 Substitute and rewrite the expression: Then simplify: 3(2)(5) + 5 6(5) + 5 30 + 5 35
“Try This p.13” • 3) 6(g + h), for g = 8 and h = 7 • 4) 2xy – z, for x = 4, y = 3 and z = 1 • 5) For r = 13 and s = 11
Try This 90 23 12 • 6(g + h), for g = 8 and h = 7 • 2xy – z, for x = 4, y = 3 and z = 1 For r = 13 and s = 11
Example 4 • An online music store charges $14 for each CD. Shipping costs $6 per order. Write a variable expression for the cost of ordering CDs. Then find the cost of ordering 4 CDs. $14 for each CD plus $6 shipping. 14n + 6 • For four CDs, 14(4) + 6 Simplify: 56 + 6 = 62
HOMEWORK P. 15 #1-9 all, 11-29 odd