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Do Now Simplify. 1. 5(7) – (18 – 11) (40 – 35) (12 – 4) 34 49 161 111 83
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1.1 worksheet answers 1) 69 17) 18 3) 21 19) 18 5) 21 21) 19 7) 33 23) 0 9) 28 25) $10 11) 57 13) 39 15) 46
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Learn to evaluate algebraic expressions.
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A variable is a letter that represents an unknown number.
A constant is a number ; it cannot change. An algebraic expression consists of one or more variables. It usually contains constants and operations. Evaluate means to solve
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Example A: Evaluate k + 9 for each value of k. k = 5 k = 2 k + 9 k + 9 5 + 9 Substitute 5 for k. 2 + 9 Substitute 2 for k. 14 Add. 11 Add.
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Multiplication and division of variables can be written in several ways, as shown in the table.
When evaluating expressions, use the order of operations.
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Example B: Evaluate the expression for the given value of the variable. 4x – 3 for x = 2 4(2) – 3 Substitute 2 for x. Multiply. 8 – 3 5 Subtract.
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Example C: Evaluate the expression for the given value of the variable. s ÷ 5 + s, for s = 15 15 ÷ Substitute 15 for s. 3 + 15 Divide. 18 Add.
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Example D: Evaluate the expression for the given value of the variable. 5x2 + 3x, for x = 2 5(2)2 + 3(2) Substitute 2 for x. 5(4) + 3(2) Evaluate the power. 20 + 6 Multiply. 26 Add.
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Check your understanding
Evaluate the expression for the given value of the variable. 1.) r ÷ 3 + r, for r = 12 12 ÷ Substitute 12 for r. 4 + 12 Divide. 16 Add. 2.) 4y2 + 2y, for y = 3 4(3)2 + 2(3) Substitute 3 for y. 4(9) + 2(3) Evaluate the power. 36 + 6 Multiply. 42 Add.
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Check your understanding:
6 a 3.) + 4b, for a = 3 and b = 2. 6 a + 4b 6 3 Substitute 3 for a and 2 for b. + 4(2) Divide and multiply from left to right. 2 + 8 10 Add.
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Lesson Quiz Evaluate n + 7 for each value of n. 1. n = 25 2. n =31
Evaluate each algebraic expression for the given value of the variables 3. 6y – 5 for y = 7 4. 4x2 + 3x for x = 6 y for x = 4 and y = 3 6. The expression 7d gives the number of days in d weeks. Evaluate 7d for d = 12. How many days are in 12 weeks? 32 38 37 162 56 x 23 84
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7. Evaluate m + 4 for m = 19. A. 21 B. 27 C. 23 D. 28
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8. Evaluate 7x – 8 for x = 5. A. 20 B. 27 C. 22 D. 32
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9. Evaluate 6x2 + 5x for x = 5. A. 185 B. 85 C. 175 D. 50
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39 x 10. Evaluate y for x = 3 and y = 5. A. 38 B. 44 C. 54 D. 64
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11. The expression 12n gives the number of months in n years
11. The expression 12n gives the number of months in n years. Evaluate 12n for n = 3. How many months are in 3 years? A. 12 months B. 24 months C. 36 months D. 48 months
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