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Elementary Math Simplification and Algebraic Equations

[PRINT] MAT-136-J1310 21EW1 Intro to Quantitative Analysis, Ernst Prophete, 9/26/21 at 8:08:35 PM EDT Question1: Score 0/0 Simplify the expression 8 Enter the exact, simplified answer. Your response 2*sqrt(2)/3 Auto graded Grade: 1/1.00 Correct response 2/3*sqrt(2) Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. rewrite /8/9 as V8/9 Simplify the numerator rewrite 8 as 2^2 * 2 Factor 4 out of 8 V4(2))/V9 rewrite 4 as 2^2 V2^2 *2/V9 2V2/V9 Simplify denominator Rewrite 9 as 3 ^2 2V2/3^2 2/2/3 Resut: 2V2/3 Ungraded Grade: 0/1.0 Feedback: 8 9 2.4 9 Factor perfect squares from the radicand Simplify. Question2: Score 0/0 Solve for x. 3(x +3) -11=x +6 Enter the exact answer. c= Your response 4 Auto graded Grade: 1/1.00 Correct response 4 Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit. Simplify Apply the distributive method 3x+9-11=x+6 3x-2=x+6 move all with x on the left and not containing x on the right 3x-x=6+2 subtract 2x=8 Divide and simplify X=8/2 X+4 UngradedGrade: 0/1.0 Feedback: Apply standard algebraic properties 3(x+3) -11=x+6 3x+9-11=x+6 Apply the distributive property 3x-2 =x+6 Combine like terms. 2x=8 Place x- terms on one side and simplify 8 r = 2 x =4 Question3: Score 0/0 Write and solve an equation to answer the question. A box contains orange balls and green balls. The number of green balls is eight more than three times the number of orange balls. If there are 104 balls altogether, then how many green balls and how many orange balls are there in the box? There are Your response 24 Auto graded Grade: 1/1.00 orange balls and Your response 80 Auto graded Grade: 1/1.00 green balls in the box. Correct response 24 Correct response 80 Show your work and explain, in your own words, how you arrived at your answer. Answers with no relevant explanations may receive reduced or no credit.