Math 017 Materials With Exercises

1. Write the following statements as algebraic 6. Subtract 2 a b from 3a 2band simplify.expressions using parentheses if appropriate, and then ___________________________________________remove parentheses. Simplify, if possible:7. Remove parentheses. Simplify.a) The product of 2a 3 and 3a 3 4a 1 b) 2 times the opposite of 3y 9a) 7x 23x b) 2b (1 b) 4 c) 3 subtracted from x, then squared.______________________________________________________________________________________ 8. Simplify if possible. If not possible, clearly say so:2. Factor b from the expression: 9b 2 5b63a 2b3 x 2ya___________________________________________ a)b) c)d)237 32b 3a6b 3 x 2ya3. Factor 5x from the expression: 15x 5x______________________________________________________________________________________4. Collect like terms:9. Write as a single exponential expression.a) 3ab 4ba 5ab22a) 48253 x a2x( 3x2 ) x b)b) 3x 4x 5 3x 64 c) 34a x x 2a______________________________________________________________________________________5. If possible, add the following expressions,otherwise write “unlike terms”.21 2 1 22210. Factor 4 2 8from the expression: y 2 y a) ab b ab) mn (mn)3 3 9 33 22 22c) x y ( 4xy)_____________________________________________________________________________________Sample Test 3 (Lesson 4-6)_____________________________________________________________________________________1. Circle all expressions equivalent tox2 y 6xy 6 3x xy 23x y 2 3 2 2y x y___________________________________________2. Write as a one exponential expression.43x2 9a) b) a23(2x)a c) 3m(3m)___________________________________________3. Replace with a number so the following isequal: a) 9 7 3 b) 25 8 5___________________________________________4. Remove parentheses and identify numericalcoefficient:33 22 4 3 7ba) ( 2x )( 3x) x b) ( 2a b ) c) ( 5b)210b___________________________________________5. Write each statement as an algebraic expressionusing parentheses, and then rewrite withoutparentheses and collect like terms.a) opposite of 3x 5yb) product of x 2 5 and 2x 3c) sum of 5x 4yand 2x 7d) difference of 2x 2 7x 3 and 5x2 8x 66. Factor3 2a) x from the expression 5x 4x 7x.b) 3xfrom the expression 15x 2 3xc) a z from the expression 4a zxa z 2cd) 1 from the expression 2d___________________________________________7. Simplify, if possible. If not possible then write "not6xyxy xzpossible". a)b)9yx4x5x 3yx 4c)d) 3y 5xx 62758. Evaluate the following expression: .255___________________________________________9. Collect like terms, and then evaluate, whena 3 .a) 2a 7a (4 8a)b) (3 a)2 6ac) 6a 9 ( a 3)2136Sample Tests