Page 524 - Algebra 1

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Error Analysis Two students factor 15x2 + 16x - 15. Which student is correct? Explain the error.
Multiple Choice Solve ⎢x - 3 + 2 = 0.
A {5, 1} B {4, -1} C {1} D Ø
Write Why is there no solution for the absolute-value equation ⎢x + 11 + 3 = 1? Weaving The area of rugs designed by a weaver are described by the trinomial
x2 + 30x - 400. What are the dimensions of a rug if x is 40?
State whether the data show a positive correlation, a negative correlation,
or no correlation.
Measurement A manufacturing company is making screws that have a width of 4 millimeters. Each screw must be made so that the actual width is ±0.03 millimeters of the desired width. Write a compound inequality to represent this situation.
Verify Verify that 3gh√275g7h9 can be simplified to 15g4h5 √11gh.
Multi-Step Gwynedd’s piggy bank contains 57 quarters, 24 dimes, 35 nickels, and 60 pennies. Gwynedd turns her piggy bank over and one coin falls out. What is the probability that the coin will be worth more than 5 cents?
a. What is the probability that the coin is a quarter or dime?
b. What is the probability that the coin is a quarter or worth more than 5 cents? c. Explain how the previous two answers are related.
Cell Phones Two different cell phone service plans are represented by the given equations. Classify this system of equations.
p = 6x + 24 p = 8x + 20
Multi-Step Anya has a number of square bricks with a side length of 1 foot that she wants to use to create a rectangular patio in her backyard. At first, she arranges them so the rectangle is 12 bricks long by 3 bricks wide, but then she decides she does not like that arrangement. How can Anya arrange the bricks if she would rather have a square-shaped patio?
Error Analysis Two students simplified the expression as shown. Which student is correct? Explain the error.
Student A
(3x + 5)(5x - 3)
Student B
(3x - 5)(5x + 3)
y
O
x
Student A
22
√ √80yz =16yz 5
Student B
22
√ √80yz =4yz 5
Lesson 77 509