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Name: ____________________________________ Mod: ___________ Homework 6: Expressions with Fractions 1. Simplify and show your 2. Simplify the expression: 3. Find the LCM and GCF steps: -‐3(4x – 1) – (2 – 7x) of 50a4 and 30a3 -‐(2 – 4 + 3*6) + 5(7-‐32) + 8*2 6. Factor this expression: !!! ! !"! ! 50a4 + 30a3 4. 5. ! ! !!! !!! Check: 7. Express this fraction as 8. Express this fraction as 9. Come up with an a single fraction in separate fractions in expression to make simplest form: simplest form. these numbers equal ! ! ! ! 50! + 30! 50! + 30! 24. Check it. 15! 15! 13, 9, 2, 11 Simplify Simplify Create-‐A-‐Quiz Challenge One of the best ways to avoid making mistakes is to UNDERSTAND the most common kinds of mistakes. One way to do this is to make your own multiple choice quiz. I’ve done the first problem for you. Your job is to answer the remaining questions, making Choice A the correct choice, and then making and explaining 4 common errors students might make. 10. What is the LCM and GCF of 10x2 and 15x? A. LCM = 30x2, GCF = 5x This is the correct choice B. LCM = 5x, GCF = 30x2 A student would choose this answer if they swapped the meaning of LCM and GCF in their heads 2 C. LCM = 30x, GCF = 5x A student would choose this answer if they got the coefficient part correct but confused the meaning of LCM and GCF when there is a variable (factor = small, multiple = big) 2 D. LCM = 15x , GCF = 10x A student might pick this answer if they confused “factor = small” to mean that they just pick the smallest number and exponent. 3 E. LCM = 150x , GCF= 5x A student might pick this answer if they think Least Common Multiple just meant to multiply the two things together. 11. Simplify 3x(x – 1) – x(2x + 1) A. This is the correct choice. B. C. D. E. 12. Express this fraction as a single fraction in simplest form: A. This is the correct choice. B. C. D. E. !"! ! !!"! !!"!
