Ch 5 Alg L Homework Worksheets Computation Worksheet #1: You should be able to do these without a calculator! A) Addition (Subtraction = add the opposite of) B) Multiplication (Division = multipl b the reciprocal) 1. 3+ 5= 1. 3i =. 5 7 + =. i 5 = 3. ( 3a 7) ( a) + + = 3. ( )( 5) =. ( ) ( ) + 5 3 + =. 1 = 5. ( 3) ( 7 5) + + = 5. 30 =. 3 = C) Addition and Multiplication Combined 1. 5 ( 3) =. ( 7)( 3) + = 3. ( 3 ) =. ( )( 9) =. ( 3 5) + = 7. 3( ) ( 5 ) = 8. ( 5)( ) + = 5. ( 3)( ) = 9. ( )( 1) + + = S. Stirling Page 1 of 18
Ch 5 Alg L Homework Worksheets Computation Worksheet #: You should be able to do these without a calculator! A) Addition (Subtraction = add the opposite of) B) Multiplication (Division = multipl b the reciprocal) 1. + 7+ = 1. i 3 =. 3 5 + 7= 3. ( 5a 5) ( 7 a) + =. ( ) ( ) + 5 + 3 8. 3 i = 3. ( )( 3)( ) = 3 =. ( 3 ) 3 3 5. ( 1 ) = 5. ( ) ( 3 ) + + =. 0 = C) Addition and Multiplication Combined 1. 3( ) =. ( 5 8)( ) =. ( ) + = 7. ( 5 3) ( 5 7) + + = 3. ( 7 8) + =. ( 3)( ) = 8. ( 3 )( 1) = 5. ( 5)( ) + = 9. ( 3 1)( 1) + = S. Stirling Page of 18
Ch 5 Alg L Homework Worksheets Computation Worksheet #3: Algebra 1 Review Simplifing Polnomials & Standard Form Review this material then complete #37 57 (odd). Check our answers. If ou need more practice, tr the evens. Standard Form: Write the polnomial from the highest degree term to the constant term. To simplif, remember that ou can onl combine like terms and ou must follow the order of operations. You ma need to distribute to remove parentheses! 3 1 3 1i 3 = + 3. Also, think of ( ) as i ( ) then distribute the 1. So ( ) a. 3 3 (7 3+ 1) ( + ) 3 3 7 3 1 + + removed the parentheses b distributing the 1. 3 3 7 1 3+ 1+ reorder terms 3 3+ 3 combine like terms b. ( + ) ( + 5) + ( + ) + + 5+ + distribute the 1. + + + 5+ reorder terms 7 + 1 combine like terms Directions: Simplif. Write each answer in standard form. Start with #37 57 (odd). Check our answers! S. Stirling Page 3 of 18
Ch 5 Alg L Homework Worksheets Computation Worksheet #: Algebra 1 Review Multipling Binomials Review this material. KNOW BOTH METHODS!! Complete #3 5 (multiples of 3). Check our answers. If ou need more practice, tr the rest. Multipl: Using the distributive propert. This is the better method. It alwas works! Multipl: Using the FOIL Method. Caution: This onl works for binomials! ( 5)( + 3) ( 5) + 3( 5) i i5+ 3 3i5 distributive a binomial distribute again to remove all parenthesis ( 5)( 3) + multipl in the order First + Outer + Inner + Last i + i 3 + 5i + 53 i 5 + 3 15 simplif each term 15 combine like terms + 3 5 15 simplif each term 15 combine like terms ou can distributive an wa ou want. Just watch our signs on each term! ( 5)( + 3) ( + 3) 5( + 3) i+ i3 5i 5i3 Since the order of multiplication does not matter + 3 5 15 simplif each term 15 combine like terms Multipl: Using the distributive propert. It alwas works! ( + 5 )( + 7) ( + 7) + 5( + 7) ( + 7) i + i7+ 5 i + 5 i7 i i7 3 1 10 35 8 8 3 + + + simplif each term + + 35 8 8 combine like terms Problems are on the net page. S. Stirling Page of 18
Ch 5 Alg L Homework Worksheets Complete #3 5 (multiples of 3). Check our answers. If ou need more practice, tr the rest. Check our answers! S. Stirling Page 5 of 18
Ch 5 Alg L Homework Worksheets Etra Practice Worksheet #5: Graphing Parabolas Identif the verte and the ais of smmetr of each parabola. For each parabola, identif points corresponding to P and Q. Check our answers! 0,1, ais of smmetr = 0 7. verte: ( ) 8. verte: ( 3, 0 ), ais of smmetr = 3 9. verte: ( 1, ), ais of smmetr = 1 19. P ( 0, ) and Q ( 3,1) 0. (, ) 1. P (, ) and Q ( 1, 1) P and Q ( 1, 5) S. Stirling Page of 18
Ch 5 Alg L Homework Worksheets Etra Practice Worksheet #: Graphing Parabolas (Refer to notes pages and 5.) Graph the Function from Standard Form. 1. a = = = = b a Verte is 1 Ais is 1 -intercept :. = 3 8 3. = + + 1. = + + 1 S. Stirling Page 7 of 18
Ch 5 Alg L Homework Worksheets 5. = +. = + 1 9 8 7. = + + 5 8 8. = + S. Stirling Page 8 of 18
Ch 5 Alg L Homework Worksheets Etra Practice Worksheet #7: Graphing Parabolas (Refer to notes pages 7 and 8.) Graph the Function from Verte Form. = 1 + 1. ( ) a = = a( h) + k Verte ( hk, ) is 3 Ais is = + 3. ( ) = + 5 3. ( ) = + 1. ( ) 8 S. Stirling Page 9 of 18
Ch 5 Alg L Homework Worksheets = 1 + 1 5. ( ) 8 8 = +. ( ) = 3 + 5 8 7. ( ) 10 8 8 10 S. Stirling Page 10 of 18
Ch 5 Alg L Homework Worksheets Etra Practice Worksheet #8: Writing Equations for Parabolas (Refer to notes page 9.) Write the equation for the parabola in Verte Form. 1. Verte form: = a( h) + k.. Verte form: = a( h) + k. 3. Verte form: = a( h) + k. S. Stirling Page 11 of 18
Ch 5 Alg L Homework Worksheets. Write = + + 5 in verte form. 5. Write = 10 in verte form.. Write = + 8 + 3 in verte form. S. Stirling Page 1 of 18
Ch 5 Alg L Homework Worksheets Computation Worksheet #9: Algebra 1 Review The GCF and Factoring Review this material then complete # 8 (even). Check our answers. If ou need more practice, tr the odds. Eample Simplif: You ma need to distribute to remove parentheses! 3 5 Also, remember how to multipl: i = because the eponent counts the factors of. ( ) 3 i i 3 distribute 3 1 simplif each term b multipling Factoring out the GCF: Find the GCF of all terms, then divide each term b the GCF. Write the factored form. (Check b distributing.) Find the GCF: The GCF is the largest factor in each of the terms. I recommend factoring! 3 The GCF of 18, and 1 is? Factor each monomial 3 18 = iiiii 3 3 = iii 3 1 = 1iii3i Find the largest possible common factors in each: 3 ii = so is the GCF 3 Factor 18 + 1. We found the GCF to be. 3 18 1 + divide each term b. 3 + 3 So the factored form of 18 + 1 is 3 +. ( ) Check b distributing 3 i3 + i i = 18 + 1 Start with # 8 (even). (continued on net page) S. Stirling Page 13 of 18
Ch 5 Alg L Homework Worksheets Check our answers! S. Stirling Page 1 of 18
Ch 5 Alg L Homework Worksheets Computation Worksheet #10: Algebra 1 Review Finding the Square of the Binomial and the Difference of Two Squares Review this material. KNOW ALL METHODS!! Complete # 30 (even). Check our answers. If ou need more practice, tr the odds. Perfect square: The long wa! ( + 3) ( + 3)( + 3) + 3 + 3 + 9 Used FOIL + 3 + 9 ( ) + + 9 combine like terms Perfect square: ( a+ b) ( a+ b)( a+ b) a + ab+ ba+ b Used FOIL a + ( ab) + b Know the pattern rule!! ( ) a+ b = a + ab+ b Perfect square: Using the pattern. ( + 3) compare ( a+ b) So a= and b = 3 Use the pattern: a + ab+ b ( ) + ( )( 3) + ( 3) + + 9 simplif Perfect square: The long wa! ( 5) ( 5)( 5) 5 5 + 5 Used FOIL + 5 + 5 ( ) 10+ 5 combine like terms Perfect square: ( a b) ( a b)( a b) a ab ba+ b Used FOIL a ( ab) + b Know the pattern rule!! ( ) a b = a ab+ b Perfect square: Using the pattern. ( 5) compare ( a b) So a= and b = 5 Use the pattern: a ab+ b ( ) ( )( 5) + ( 5) 10+ 5 simplif Difference of squares: The long wa! + 7 7 ( )( ) 7 + 7 9 Used FOIL 9 Notice that the -terms added to zero! Difference of squares: a+ b a b ( )( ) a ab+ ba b Used FOIL a b Know the pattern rule!! a+ b a b = a b ( )( ) Using the pattern is much easier and quicker! Know it well!!! Find the product: ( 3 5) ( ) a b = a ab+ b So a= 3 and b = 5 a ab+ b ( 3) ( 3)( 5) + ( 5) + 9 30 5 Find the product: ( + 7)( 7) ( a+ b)( a b) = a b So a= and b = 7 a b ( ) ( 7) 9 Difference of squares: Using the pattern. + 7 7 compare to ( )( ) ( a+ b)( a b) So a= and b = 7 Use the pattern: a b ( ) ( ) 7 = 9 S. Stirling Page 15 of 18
Ch 5 Alg L Homework Worksheets Review this material. KNOW ALL METHODS but use the patterns that were developed on the previous page. Complete # 30 (even). Check our answers. If ou need more practice, tr the odds. Check our answers! Answers for Worksheet #11 below: S. Stirling Page 1 of 18
Ch 5 Alg L Homework Worksheets Computation Worksheet #11: Algebra 1 Review Simplifing Radical Epressions Review the eamples. Complete #3 81 (multiples of 3). Check our answers. If ou need more practice, tr the rest. Square Root Properties Multiplication Propert of Square Roots For an numbers a 0 and b 0, ab = a b Division Propert of Square Roots For an numbers a 0 and b > 0, a a = b b When simplifing radicals, three rules appl 1) You ma not have factors that are perfect squares under the radical sign. The cure? Factor the radicand (the numbers under the radical) and use the multiplication propert. ) You ma not have fractions under the radical sign. The cure? Use the division propert and simplif further, if necessar. 3) You ma not have radicals in the denominator of a fraction. The cure? Multipl the numerator and denominator of the fraction b the radical in the denominator (to create a perfect square). Simplif further if needed. When taking a square root, ask our self what would I square to get? since i =, the = 3 5 0 break into perfect squares 5 ii ii i. Take the square roots 5 Continued on the net page. S. Stirling Page 17 of 18
Ch 5 Alg L Homework Worksheets Complete #3 81 (multiples of 3). Check our answers. If ou need more practice, tr the rest. Check our answers! The answers are on page 1 of this packet. S. Stirling Page 18 of 18