Activity 2A. Identify the kind of polynomial according to number of terms and the according todegree.1. 2abc52. 10mn - 5mn5 + 33. 6xy3 – 7x®y² + 2xy4. -5st5 + 3s24 + 5st5. 6mn6 – 5m°n5 + 2B. Identify the degree and the leading coefficient of the following algebraic expressions.6. -5abc5-5a²b?c? -5abc7. -6xy4 – x®y2 + 2x°y38. -5mnop(-5mno°p*)9. 2abc (5abc®) + 5abc (-2a°b*c®)10. -4xyz(-4x°y®z®) + 25xyz(-5x²y²z²)1. 11pqr2. 2ab +c3. 3 + 2x2 - 4x³4. -x* + x² + x5. 5t5 - 213 + 7t6. 6p - p3 -27. 5x2 - 3x* – 5 + x8. 4x2 - x8 + 2x - 69. 1-m + m?+ m5 – m7 + mº10. -x®y® -4 x'y7 – 2x®y10Evaluating Algebraic ExpressionsWe have used operations on whole numbers, integers, fractions, and decimals.Now, we will evaluate algebraic expressions in order to evaluate the value of theunknown such as profit from sales or compute the monthly wages.ExampleSimplify: -2 + 3[ (-1-1)3 + ( -3 +2)²]SolutionProcesses-2 + 3[(-1-1)3 + ( -3 +2)²] Perform operation in the grouping symbol.Raise numbers to their powers.-2+ 3[ (-2)3 + (-1)²]-2 + 3[-8 + 1]Add.-2+3 (-7)Multiply.-2 + (-21)Add.-23The answer is -23.Remember that replacing a variable with a number demonstrates theSubstitution Property of Equality.When a number is substituted for the variable in a polynomial, the polynomialtakes a numerical value. Finding the value is called evaluating the polynomial. titutionExample 2:4x-3when:rations. HereEvaluate3y-4b. x = 2 and y = 3a. x= 1 and y =- 1ft to right.Solutions:a.b.4x - 3Зу-44x- 3Зу-44(1) - 33(-1) – 44(2) - 33(3) - 44 - 3- 3 - 48-39 - 41= 1Activity 3Evaluate the value of the indicated algebraic expressions.1. Evaluate ab + cd when a. a = 2, b = 3, c=4, and d= 52. Evaluate 2vx - 3xy when a. v = 6, x = 3 and y = 23. Evaluate 4abc + 5xyz when a. a = 2, b = 3, c = 4, x = 5, y = 6, and z =74. Evaluate+ 2y( – 6) when y = 9ion.2a(4x2)5. Evaluate3ywhen a = 1, x = -3 and y = 37

Name: Activity 2A. Identify the kind of polynomial according to number of t
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Description: Activity 2A. Identify the kind of polynomial according to number of terms and the according todegree.1. 2abc52. 10mn - 5mn5 + 33. 6xy3 – 7x®y² + 2xy4. -5st5 + 3s24 + 5st5. 6mn6 – 5m°n5 + 2B. Identify the degree and the leading coefficient of the fol

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Math

Algebra

Evaluate the value of the indicated algebraic expressions. 1. Evaluate ab + cd when a. a = 2, b = 3, c =4, and d= 5

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

Topic Video

Question

Activity 2
A. Identify the kind of polynomial according to number of terms and the according to
degree.
1. 2abc5
2. 10mn - 5mn5 + 3
3. 6xy3 – 7x®y² + 2xy
4. -5st5 + 3s24 + 5st
5. 6mn6 – 5m°n5 + 2
B. Identify the degree and the leading coefficient of the following algebraic expressions.
6. -5abc5-5a²b?c? -5abc
7. -6xy4 – x®y2 + 2x°y3
8. -5mnop(-5mno°p*)
9. 2abc (5abc®) + 5abc (-2a°b*c®)
10. -4xyz(-4x°y®z®) + 25xyz(-5x²y²z²)
1. 11pqr
2. 2ab +c
3. 3 + 2x2 - 4x³
4. -x* + x² + x
5. 5t5 - 213 + 7t
6. 6p - p3 -2
7. 5x2 - 3x* – 5 + x
8. 4x2 - x8 + 2x - 6
9. 1-m + m?+ m5 – m7 + mº
10. -x®y® -4 x'y7 – 2x®y10
Evaluating Algebraic Expressions
We have used operations on whole numbers, integers, fractions, and decimals.
Now, we will evaluate algebraic expressions in order to evaluate the value of the
unknown such as profit from sales or compute the monthly wages.
Example
Simplify: -2 + 3[ (-1-1)3 + ( -3 +2)²]
Solution
Processes
-2 + 3[(-1-1)3 + ( -3 +2)²] Perform operation in the grouping symbol.
Raise numbers to their powers.
-2+ 3[ (-2)3 + (-1)²]
-2 + 3[-8 + 1]
Add.
-2+3 (-7)
Multiply.
-2 + (-21)
Add.
-23
The answer is -23.
Remember that replacing a variable with a number demonstrates the
Substitution Property of Equality.
When a number is substituted for the variable in a polynomial, the polynomial
takes a numerical value. Finding the value is called evaluating the polynomial.

titution
Example 2:
4x-3
when:
rations. Here
Evaluate
3y-4
b. x = 2 and y = 3
a. x= 1 and y =- 1
ft to right.
Solutions:
a.
b.
4x - 3
Зу-4
4x- 3
Зу-4
4(1) - 3
3(-1) – 4
4(2) - 3
3(3) - 4
4 - 3
- 3 - 4
8-3
9 - 4
1
= 1
Activity 3
Evaluate the value of the indicated algebraic expressions.
1. Evaluate ab + cd when a. a = 2, b = 3, c=4, and d= 5
2. Evaluate 2vx - 3xy when a. v = 6, x = 3 and y = 2
3. Evaluate 4abc + 5xyz when a. a = 2, b = 3, c = 4, x = 5, y = 6, and z =7
4. Evaluate
+ 2y( – 6) when y = 9
ion.
2a(4x2)
5. Evaluate
3y
when a = 1, x = -3 and y = 3
7

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