Homework Help is Here – Start Your Trial Now!
Math
Algebra
Learning Task 1: Find the value of the expression given the value of the variables 1. 3x +5; x 2 4. 3(xy + 6); x -6 and y-1 2. 5xy + x - 4, x -3 and y = 5 5. 2x+5 x = -3 and y = -8 %3D 3. 6ab-c; a=5; b 3; c 10 3x-y abc

Learning Task 1: Find the value of the expression given the value of the variables 1. 3x +5; x 2 4. 3(xy + 6); x -6 and y-1 2. 5xy + x - 4, x -3 and y = 5 5. 2x+5 x = -3 and y = -8 %3D 3. 6ab-c; a=5; b 3; c 10 3x-y abc

Algebra and Trigonometry (6th Edition)
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,...
See similar textbooks
icon
Related questions
Question
Answer Learning Task 1, 2, and 3
Algebraic expressions are said to be similar if the expressions has the same literal coefficients or variables, like 3x and x are similar while x and x2 are St not. Yc In general, algebraic expressions are called polynomials. You can only per- AL form addition and subtraction to polynomials that are similar. as a letter that represents a In the previous lesson you define variables number. An expression can have a value if you replace the variable with a number and perform the operations involved. The terms in the expression 3x + 5 are not similar, hence you cannot add them. However if you give value to x, then you can perform the operations. 2. Example: 1. Find the value of 3x + 5, if x = 2 Solution: 3x + 5 = 3(2) + 5 = 6 + 6 = 11. LMD The value of the expression 3x + 5 is 11 when x = 2. 2. Find the value of 6ab-C if a= 5; b = 3; c = 10 abc 6(5)(3) – 10 5(3)(10) Solution: 6ab -c 80 abc 150 15 Rules in Adding or Subtract Polynomials Step 1. Arrange the polynomial in descending or ascending order if possible. Step 2. Group Terms which are similar. Step 3. Add/subtract the numerical coefficients, applying the rules in subtracțing and adding integers and copy the literal coefficients. Examples: 1. Add: 4x2 - 2x +5 and 7+5x3 + 4x - x2 D Learning Task 1: Find the value of the expression given the value of the variables 1. Зх + 5; х%3D2 4. 3(xy + 6); x= -6 and y-1 2. 5xy + x- 4, x = -3 and y = 5 5. 2x +5 x = -3 and y = -8 3. 6ab-c; a=5; b 3; c = 10 3x-y abc SUKAS
Transcribed Image Text:Algebraic expressions are said to be similar if the expressions has the same literal coefficients or variables, like 3x and x are similar while x and x2 are St not. Yc In general, algebraic expressions are called polynomials. You can only per- AL form addition and subtraction to polynomials that are similar. as a letter that represents a In the previous lesson you define variables number. An expression can have a value if you replace the variable with a number and perform the operations involved. The terms in the expression 3x + 5 are not similar, hence you cannot add them. However if you give value to x, then you can perform the operations. 2. Example: 1. Find the value of 3x + 5, if x = 2 Solution: 3x + 5 = 3(2) + 5 = 6 + 6 = 11. LMD The value of the expression 3x + 5 is 11 when x = 2. 2. Find the value of 6ab-C if a= 5; b = 3; c = 10 abc 6(5)(3) – 10 5(3)(10) Solution: 6ab -c 80 abc 150 15 Rules in Adding or Subtract Polynomials Step 1. Arrange the polynomial in descending or ascending order if possible. Step 2. Group Terms which are similar. Step 3. Add/subtract the numerical coefficients, applying the rules in subtracțing and adding integers and copy the literal coefficients. Examples: 1. Add: 4x2 - 2x +5 and 7+5x3 + 4x - x2 D Learning Task 1: Find the value of the expression given the value of the variables 1. Зх + 5; х%3D2 4. 3(xy + 6); x= -6 and y-1 2. 5xy + x- 4, x = -3 and y = 5 5. 2x +5 x = -3 and y = -8 3. 6ab-c; a=5; b 3; c = 10 3x-y abc SUKAS
Learning Task 2: A. Evaluate the algebraic expressions ap Let a = 4, b = -5, c 0.6, x = -3, y 0.4; z = Algebraic Expression ba Value ex Value Algebraic Expression II 1. 3abc + bc - a 6. 3x2 + 2xy - 3(ab)2 th 2. bxy + 5ab - ay 7. 25 2x2y +3a2b- az2 3. abz - 8z +b 8. (az)2 + 5x²y - 4bc 9. 2x2y2-12abz 16 4. ax + by - cz 5. 4ax + cz 10. 8z3-4x + y2 B. Perform the indicated operations Subtract: Add 1. (5x - 3x2 + 4) + (6x3 - 4x2 - 7) 6. (5x3 - 7x2 + 3x – 4) –(8x3 + 2x2 +3x - 7) 2.-7x°y + 4x²y2 - 2 and 4x³y + 1-8x2y2 7. (2x2y - 5xy + 3y2) – (7xy – 6y² + 5x²y) 3. (5+ 24y3- 7y²) + (-6y3 + 7y2 + 5) 8. (9x5 - 6x³ + 7x²) – (7x³ – 6x5 + 2x²) 4. (2x5-6x3 - 12x2 - 4) + (-11x5 + 8x + 2x2 + 6) 9. Subtract 4x3 - 5x - 8 from 6x2 – 3x + 8 5. (3y3- 2y + y4 + 2y3 + 5) and (2y5 + 3y3 + 2+ 7) | 10. (1.5y³ + 4.8y2 + 12) - (y- 1.7y2 + 2y) Learning Task 3: Solve the following. Do this in a separate sheet of paper. 1. A box is ( 2x-3) by ( x + 5) by ( 3x +1) , what is the volume of the box if x = 3 cm? bh If the base (b) = 10 cm and 2. The formula for the area of a triangle is A= the height (h) = 6 cm, what is the area of the triangle? 3. The length (1) of the rectangle is x2 + 2x - 3 and the width (w) is 5x + 4, what is the perimeter of the rectangle. 4. From the sum of 3x3 + 7x2 - 5 and 2x2 + 3x + 8 take away 5x2 + x -5. to mue srí 5. What should be added to 3x3 + 4x2 -7 to have a sum of 4x3 + x2 + 5.
Transcribed Image Text:Learning Task 2: A. Evaluate the algebraic expressions ap Let a = 4, b = -5, c 0.6, x = -3, y 0.4; z = Algebraic Expression ba Value ex Value Algebraic Expression II 1. 3abc + bc - a 6. 3x2 + 2xy - 3(ab)2 th 2. bxy + 5ab - ay 7. 25 2x2y +3a2b- az2 3. abz - 8z +b 8. (az)2 + 5x²y - 4bc 9. 2x2y2-12abz 16 4. ax + by - cz 5. 4ax + cz 10. 8z3-4x + y2 B. Perform the indicated operations Subtract: Add 1. (5x - 3x2 + 4) + (6x3 - 4x2 - 7) 6. (5x3 - 7x2 + 3x – 4) –(8x3 + 2x2 +3x - 7) 2.-7x°y + 4x²y2 - 2 and 4x³y + 1-8x2y2 7. (2x2y - 5xy + 3y2) – (7xy – 6y² + 5x²y) 3. (5+ 24y3- 7y²) + (-6y3 + 7y2 + 5) 8. (9x5 - 6x³ + 7x²) – (7x³ – 6x5 + 2x²) 4. (2x5-6x3 - 12x2 - 4) + (-11x5 + 8x + 2x2 + 6) 9. Subtract 4x3 - 5x - 8 from 6x2 – 3x + 8 5. (3y3- 2y + y4 + 2y3 + 5) and (2y5 + 3y3 + 2+ 7) | 10. (1.5y³ + 4.8y2 + 12) - (y- 1.7y2 + 2y) Learning Task 3: Solve the following. Do this in a separate sheet of paper. 1. A box is ( 2x-3) by ( x + 5) by ( 3x +1) , what is the volume of the box if x = 3 cm? bh If the base (b) = 10 cm and 2. The formula for the area of a triangle is A= the height (h) = 6 cm, what is the area of the triangle? 3. The length (1) of the rectangle is x2 + 2x - 3 and the width (w) is 5x + 4, what is the perimeter of the rectangle. 4. From the sum of 3x3 + 7x2 - 5 and 2x2 + 3x + 8 take away 5x2 + x -5. to mue srí 5. What should be added to 3x3 + 4x2 -7 to have a sum of 4x3 + x2 + 5.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS