Page 636 - Algebra 1

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*5. Find the quotient: 4x3 + 42x2 - 2x .
(93) 2x
6. Find the axis of symmetry for the graph of the equation y = x2 - 2x.
(89)
Simpl_ify.
7.
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Multi_-Step Brent rode his scooter 5 7x - 42
_7x _1 4x+18 *8. x3
_4_ 3x2 (92) _1
_1 6x+27 x3 +x3
Write Explain how to check that (5x + 6) is the correct quotient of (15x2 + 13x - 6) ÷ (3x - 1).
Justify Show that the quotient of (x2 - 4) ÷ (x + 2) can be found using two different methods.
Swimming The city has decided to open a new public pool. The area of the new rectangular pool is (x2 - 16x + 63) square feet and the width is (x - 7) feet.
What is the length?
Multiple Choice Simplify x3 - 7x + 3x2 - 21 .
__ x+3
2 _3 Ax-7 Bx-7
C -3 D x2 - 7 2x
6x -6x _2
_2
Error Analysis Students were asked to simplify 8x + 8x . Which student is correct?
Explain the error.
was 4x2 miles away. 24x a. Find his rate in miles per minute.
b. If the rate is divided by _1 , what is the new rate? x
G_eometry The area of a parallelogram is _m + n square inches and the height is m2+n2 5
3x - 3 4x2 + 4x
Student A
6x2 -6x · 4x2 +4x __
__ 8x(x + 1) 3(x - 1)
8x2 + 8x 3x - 3
= 6x(x-1) · 4x(x+1)
=x
Student B
6x2-6 ·4x2+4x __
__ 8x(x + 1) 3(x - 1)
8x2 + 8x 3x - 3
= 6x(x-1) · 4x(x+1)
_2 = 24x
24x
_2
8x -48x
minutes to get to baseball practice that
15 inches. What is the length of the base? Solve and graph the inequality ⎢x > 84.
Lesson 93 621