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Today we are going to:

Today we are going to:. write algebraic expressions by representing unknown quantities; and evaluate algebraic expressions by substituting the given value for the variable. EVALUATING. ALGEBRAIC EXPRESSIONS. Write an algebraic expression for each of the following statements. Add 3 to p

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Today we are going to:

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  1. Today we are going to: • write algebraic expressions by representing unknown quantities; and • evaluate algebraic expressions by substituting the given value for the variable.

  2. EVALUATING ALGEBRAIC EXPRESSIONS

  3. Write an algebraic expression for each of the following statements. • Add 3 to p (b) Subtract 2 from the product of 3 and x (c) Divide the sum of m and n by 5 (d) Multiply 7 to half of t p + 3 3x – 2 m + n 5 7t 2

  4. Algebraic Expression in Two or more unknown Example : State the number of unknown in each of the following algebraic expressions. (a) 2a + 2b (b) 100 – 2pqr (c) hjk + 8p – 19q Answer : • 2a + 2b has two unknown : a and b • 100 – 2pqr has three unknown : p, q and r • hjk + 8p – 19q has five unknown : h, j, k, p and q

  5. Evaluating Algebraic Expression *To evaluate an algebraic expression is to find the value of the expression. STEPS: 1. Substitute the given value for the variables (replace letters with the given numbers) 2. Solve using the order of operations (PEMDAS)

  6. Example : Evaluate 2x + 5y when x = 4 and y = 2 Solution : 2x + 5y = 2 (4) + 5 (2) = 8 + 10 = 18

  7. Evaluate p+2q+ 3r given p = 2 q = 4, r = 6 =2+ 2(4) + 3(6) =2 + 8 + 18 =28

  8. Example : Evaluate 3c + 5 if c = 5 and d = 1 4d Solution : 3c + 5 = 3 (5) + 5 4 d 4 (1) = 15 + 5 4 = 20 4 = 5

  9. ALGEBRAIC EXPRESSIONS Step 1 Substitute the given values for the variables. Step 2 Solve using the order of Operations PEMDAS.

  10. Problem 1 Given the formula P=2L+2W, find the value of P if K=7 and W=3.

  11. Problem 2 If V=lwh, what is the value of V when l=2, w=3, and h=4?

  12. Problem 3 If x=1 and y= -2, which expression has a value of 3? (a) x+y (c) x-y (b) xy (d) y-x

  13. Problem 4 If a=1 and b=-2, find the value of (a+b)2.

  14. Problem 5 Using the formula V=x 2h, find V when x=6 and h=2

  15. Problem 6 Evaluate the expression (6a)2b if a=2 and b=-1

  16. Problem 7 Find the value of 3a-4b if a=-2 and b=5.

  17. Problem 8 Find the value of (x2-8x+4) if x=1/2.

  18. Problem 9 Evaluate 5a2-b if a=-2 and b=10.

  19. Problem 10 Find the value of the expression 3x3 when x=-2

  20. Problem 11 What is the value of R2S if R=5 and S=-2.

  21. Problem 12 Evaluate the expression 3x2 +y if x=1 and y=-3.

  22. Problem 13 Find the value of the expression 2xy3 if x=3 and y=-2

  23. Problem 14 Find the value of 5x2 if x=-3.

  24. Problem 15 If x=-3 and y=2, find the value of (xy)2.

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