Linear Equations & Integer Exponents 9 Topic Introductions, Linear Equations, & Integer Exponents TOPIC 1 Using distribution and combining like terms to TOPIC 2 TOPIC 3 Solving a linear equation Exponents and integers: TOPIC 4 Solving a multi-step with several occurrences Problem type 1 equation given in simplify: Univariate of fractional form the variable: Variables on both sides and Simplify: distribution Evaluate: 3 Solve for x and (w+2)+5w (9) - - . , Simplify: Solve for y and Simplify: 72H _ 8 3 _ _ -5y + 23 = -3(y - 7) TOPIC 5 TOPIC 6 TOPIC 7 TOPIC 8 Signed fraction division Divide and simplify: g + (12) Solving a linear equation Solving for a variable in Evaluating a quadratic with several occurrences terms of other variables expression: Integers of the variable: Variables using addition or on both sides and subtraction with division fractional coefficients Evaluate the expression Solve for x: hen 5 w = : Solve for u and 5 = 15:17 7 12y 2 i 7y + 1 simplify: y y in i 1 = 7211, i 2 5 5 3 TOPIC 9 TOPIC 10 TOPIC 11 TOPIC 12 Solving a word problem Product rule with Power rules with positive Power rules with positive with two unknowns positive exponents: exponents: Multivariate | exponents: Multivariate using a linear equation Multivariate products quotients A total of 444 tickets were sold for the Simplify: Write without school play. They were| Multiply and simplify: (2w374 )5 parentheses and either adult tickets or 2v . 304 26 . 5x2 simplify: student tickets. The -5a* 3 number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold? TOPIC 13 TOPIC 14 TOPIC 15 TOPIC 16 Power and product rules | Quotient of expressions Simplifying a ratio of Power and quotient rules with positive exponents involving exponents multivariate monomials: |with positive exponents Basic Simplify: Simplify: Write using only (-23 y2 2 2 ) (3act y? z) 3 a $66 Simplify: positive exponents and a462 23 6ab 42bc simplify: 2 2 5x-6 72TOPIC 17 TOPIC 18 TOPIC 19 TOPIC 20 Evaluating expressions Rewriting an algebraic Translating a sentence Solving a linear equation with exponents of zero expression without a into a one-step equation with negative exponent several occurrences of the Translate the sentence variable: Variables on Evaluate the into an equation (use both sides and two expression: Write without a the letter r to represent distributions -3 ( 3) 0 negative exponent and Rita's height): simplify: Solve for y and simplify: -60-5 67 is the difference of Rita's height and 7. 4 (y + 7) = -5(3y TOPIC 21 TOPIC 22 TOPIC 23 TOPIC 24 Evaluating an expression | Power of a power rule Solving equations with Greatest common factor with a negative with negative exponents zero, one, or infinitely of 2 numbers exponent: Negative many solutions integer base Simplify and write your Find the greatest answer without using Find the solution common factor of 12 Rewrite the following negative exponents: (NOTE: No solution and 48. without an exponent: ( u -5) 2 and All real numbers (-4)-3 are solutions are possible answers.) -4(w + 1) = 2(1 - 20) - 69 Instructions Today's activity will allow you to reinforce what you are learning by working cooperatively with your classmates to solve math problems. Additionally, you will also have a chance to receive answers to your questions. Throughout the week, look for any opportunity to assist classmates by answering their questions, offering guidance and suggestions, or (respectfully) helping to correct any errors. Above all, feel free to ask questions whenever needed. Part 'I In class, you will be divided up into small groups and assigned topics from the table above. The group will work together to solve the assigned topics. Be sure to solve the topics on your own paper, clearly showing steps or explanations as well as the solutions. As you work, follow these guidelines: 0 Discuss the topics within your group, using professional language and courtesy. 0 Offer ideas and advice for those who are struggling with a question. Do not simply tell someone an answer without letting them think it through on their own rst. 0 Make sure you write down your own steps and solutions to the assigned topics as you solve them. You will submit this work in Canvas in Part 3. Part 2