Algebra+1+Third-Quarter+Review+Assignment (1) (1)

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Liberty University *

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110

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Mathematics

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Apr 3, 2024

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Algebra 1 Third-Quarter Review Assignment Each of the problems below are similar to your Algebra 1 9.27.W Practice Exam. You must show your work to receive credit! 1. Write the expression using only positive exponents. Assume no denominator equals zero. ( 3 x 4 y 7 ) 3 1 (−3 x^ 4 y −7 )^ 3 ( -3x^4 y^(-7) )^(-3) 2. Factor. x 2 2 x 15 Factor of 15 14 -2 -1+15 -5+3 (x-5)(x+3) 3. Find the axis of symmetry and the vertex of the graph of: y = 2 x 2 4 x + 6 (y + 6) = -2x 2 + 4x  (y + 6) = -2(x 2 - 2x)  (y + 6) = -2(x 2 - 2x + 1 - 1)  (y + 6) = -2{(x - 1) 2 - 1}  (y + 6) = -2(x - 1) 2 + 2  -2(x - 1) 2 = (y + 4)  (x - 1) 2 = -1/2 (y + 4)  X=1 find the values of a , b , and c.  a =2 b= -4 c=−6  Substitute the values of a and b into the formula d=b/2a  d=−4/2 Factor 2 out of 2   d=2 −2/2(2)   
Cancel the common factor. d=2 −2/2   (1,8)  4. Sam wants to build a wooden deck on his patio, which is in the shape of a parallelogram. The area of the patio is   350 ft 2 . Find the base. Round your answer to the nearest foot. Hint   : Use   A = bh . Multiply 6 by 350=6.5 350=30 5. Use the discriminant to find the number of solutions of the equation below. Do not solve. ( 1 solution, 2 solutions, or no real solutions ) 5 x 2 + 3 x 2 = 0 (3)^2-4(5)(2) 49=no real solution
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