Today we are going to write algebraic

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РЕГИСТРАЦИЯ

Today we are going to: • write algebraic expressions by representing unknown quantities; and

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

Write an algebraic expression for each of the following statements. (a) Add 3 to

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

Algebraic Expression in Two or more unknown Example : State the number of unknown

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

Evaluating Algebraic Expression *To evaluate an algebraic expression is to find the value of

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)

Example : Evaluate 2 x + 5 y when x = 4 and y=2

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

Evaluate p+2 q+ 3 r given p = 2 q = 4, r =

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

Example : Evaluate 3 c + 5 if c = 5 and d =

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

ALGEBRAIC EXPRESSIONS Step 1 Substitute the given values for the variables. Step 2 Solve

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

Problem 1 Given the formula P=2 L+2 W, find the value of P if

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

Problem 2 If V=lwh, what is the value of V when l=2, w=3, and

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

Problem 3 If x=1 and y= -2, which expression has a value of 3?

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Problem 12 Evaluate the expression 2 +y if x=1 and y=-3. 3 x

Problem 12 Evaluate the expression 2 +y if x=1 and y=-3. 3 x

Problem 13 Find the value of the 3 if x=3 and expression 2 xy

Problem 13 Find the value of the 3 if x=3 and expression 2 xy y=-2

Problem 14 Find the value of x=-3. 2 5 x if

Problem 14 Find the value of x=-3. 2 5 x if

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

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

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