PPT-Lesson 8 Expand and Simplify.
Author : celsa-spraggs | Published Date : 2016-04-10
Mathswatch 103 GCSE Maths Starter 8 Write 14 as a percentage of 20 What is 3y x 5y Convert 2500g to kg 1 Describe the correlation 5 Solve the equations below
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Lesson 8 Expand and Simplify.: Transcript
Mathswatch 103 GCSE Maths Starter 8 Write 14 as a percentage of 20 What is 3y x 5y Convert 2500g to kg 1 Describe the correlation 5 Solve the equations below To simplify expressions by collecting like terms. Exponents and Radicals. Question 1. Simplify. Assume all variables are positive.. . Question 2. Simplify. Your answer should have no negative exponents.. Question 3. Multiply and simplify. Assume all variables are positive.. What Is A Surd ?. Calculate the following roots:. = 6. = 2. = 3. = 5. = 2. All of the above roots have exact values and are called . rational. .. Now use a calculator to estimate the following roots:. Warm Up. Solve each equation.. 3. x. + 5 = 17 2. .. 4. t. – 7 = 8. t. + 3 . 4.. . . 5.. 2(. y. – 5) – 20 = 0. . . 2.4 Algebraic Properties. Objectives. Review properties of equality and use them to write algebraic proofs.. (with integers). Distributive Property. To multiply a number by a sum/difference of two terms, you can multiply that number by each term and add/subtract the two products.. a(b + c) = ab + ac. 5. Divide 3x – 5 by x – 1. . 3. Answer:. 3x + 3x + 3 – 2/x – 1 . 2. 2. The general expression for consecutive multiples of six is 6N, 6(N + 1), 6(N + 2), etc. Find three consecutive multiples of six such that 4 times the first exceeds twice the third by 12. . Order of . Operations. For any real number a,. For any real number a,. For any real number a,. Find an equivalent expression without parenthesis. Find an equivalent expression without parenthesis. Find an equivalent expression without parenthesis. Unit 1.04. Exponent Properties. Dividing Powers with the same base: . To divide powers . with the same base. , subtract their exponents.. Example: . Divide the following powers.. A) B) C) . Using the properties to make expressions easier to work with.. What is an expression?. Numerical Expression. Variable/Algebraic Expression. Vocabulary. Look at the diagram of an expression. In your own words, write a description/definition for each vocabulary word given.. #14. adamant (. adj. ) . not . yielding; . firm. ad = to . man . = hand. benevolent (. adj. ). kind. ; generous. . bene. = good . vol. = will. condone (. v. ). to . overlook; forgive . . con . = together. x. .. Sketch the graph of g(x) = . ln. x.. If f(x) = 2. x. , then explain the transformation of f(x) = 2. x 3. 5.. Convert to radian measure:. 150. 0. , 225. 0. , 300. 0. , -60. 0. .. Convert to degree measure:. (. i. ). Rational. because it can be expressed in the form .. (ii). Rational. because it can be expressed in the form .. (iii). Rational. because it can be expressed in the form .. i. , perform operations on complex numbers, graph complex numbers on the appropriate axis. SWBAT: simplify powers of . i. , perform operations on complex numbers, graph complex numbers on the appropriate axis. the. basic rules of algebra. RAG. Key. Words: . Reflect, Communicate, Explain, Justify. 21/09/2014. Starter Activity. Complete the ‘Heard the Word . Grid.’. Are there any key . words that . you have learnt or have a better understanding of . 1.. 2.. 3.. 4.. 5.. f. (. x. ) = . x. 2. . – 18. x. + 16. f. (. x. ) = . x. 2. . + 8. x. – 24. Find the zeros of each function.. Define and use imaginary and complex numbers.. Solve quadratic equations with complex roots..
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