Page 698 - Algebra 1

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Solve and check: _x = _6 . 11 x-5
Does the graph of -8x2 - 12 = 3 - y open upward or downward?
Office Management Maria can complete all the copies in 1 hour. It takes Lachelle
2 hours. How long will it take them if they use two identical copiers and work together?
_x-8 _ x-6
Error Analysis Two students solve x + 2 = 3x + 6 . Which student is correct? Explain the error.
Student A
(x - 8)(3x + 6) = (x + 2)(x - 6) 3x2 -18x-48=x2 -4x-12 2x2 -14x-36=0
2(x - 9)(x + 2) = 0 {9}
Student B
(x - 8)(3x + 6) = (x + 2)(x - 6) 3x2 -18x-48=x2 -4x-12 2x2 -14x-36=0
2(x - 9)(x + 2) = 0 {-2, 9}
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Do the side lengths 3, 3√ 3, and 6 form a Pythagorean triple?
Let P = (-2, 1), Q = (0, 2), R = (1, -2), and S = (-1, -3). Use the distance formula to determine whether PQRS is a rhombus.
_22 _2
Multi-Step Find the product of 5x y · 9xy using two different methods.
3x3y3 25xy3
a. Solve the expression by multiplying first and then simplifying.
b. Solve the expression by simplifying each factor and then multiplying. c. Explain which method you prefer.
Road Trip Carlos tracks the mileage for a road trip on his car’s odometer. The total distance is 974.6 miles plus or minus 0.1 miles. Solve and graph the inequality ⎢x - 974.6 ≤ 0.1.
Multi_-Step Amy skipped for _3x - 6 hours to get to her grandmother’s house that
2x -4x
was 2 miles away. 9x
7x3
a. Find her rate in miles per hour.
b. If the rate is divided by _1 , what is the new rate? x2
How do you write a remainder of 5 for a division problem that has a divisor of (3x2+7x+8)?
What is the parent quadratic function defined to be? What is the shape of its graph and where is it located on the coordinate system?
Lesson 101 683