Page 717 - Algebra 1

Lesson Practice
a. Complete the square: x2 + 24x. (Ex 1)
Solve by completing the square. b. x2 +2x=8
(Ex 2)
c. x2 -14x=15 (Ex 2)
d. 3x2 +24x=-27 (Ex 3)
e. 2x2 +6x=-6 (Ex 3)
f. The base of a parallelogram is 8 centimeters more than its height. If the
(Ex 4)
total area of the parallelogram is 20 square centimeters, what are the dimensions of the parallelogram?
Practice
Distributed and Integrated
*1. Find the missing term of the perfect-square trinomial: c2 + 100c + . (104)
*2. Find the missing term of the perfect-square trinomial: y2 - 26y + . (104)
*3. Multiple Choice What is the missing value for the perfect-square trinomial? (104)
x2 -30x+
A -225 B -15 C 15 D 225
*4. Justify Solve 6x2 - 12x - 18 = 0 by completing the square. Justify each step in (104) your solution. Then check the answer(s).
*5. Design The diagram shows the cutout for an open box. The height of (104) the box is 3 inches. The length is 5 inches greater than the width. The
area of the base of the box is 24 square inches. What are the dimensions of the box?
6. Simplify _√ 3 . (103) √ 11
7. A deck has 6 green cards and 2 yellow cards in it. What is the probability of (33) drawing a green card, keeping it, and then drawing a yellow card?
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*8. Multi-Step A circle has an area of 6 square meters. Find the radius of the circle. (103) Use _22 for π. (Hint: Area of a circle = πr2)
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a. Write the formula for finding the radius of the circle.
b. Write the equation for finding the radius after substituting in _22 for π. 7
c. What is the radius of the circle?
*9. Coordinate Geometry A right triangle is plotted at points A(√ 5 , 3√ 3 ), B(√ 5 , √ 3 ),
__ __ (86) __ 34 34
3
x
x + 5
3
and C(2√ 5 , √ 3 ), and line segment AC forms the hypotenuse of the triangle. What 34
is the length of the hypotenuse of triangle ABC? 702 Saxon Algebra 1
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