Page 628 - Algebra 1

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Multiple Choice Two fractions have a denominator of x2 + 6x + 9 and x2 - 9. What is the least common denominator?
A x2 + 9 B x2 + 6x + 9
C 2x2 +9 D (x+3)2(x-3) Solve and graph the inequality ⎢x < 65.
Error Analysis Two students solve the inequality ⎢x - 15⎥ < -4. Which student is correct? Explain the error.
Geometry A triangle has sides measuring 16 inches and 23 inches. The triangle inequality states that the length of the third side must be greater than 7 inches and less than 39 inches. Write this inequality and graph it.
Multi-Step The grades on a math test were all within the range of 80 points plus or minus 15 points.
a. Write an absolute -value inequality to show the range of the grades.
Student A
⎢x - 15⎢ < -4 -4 < x - 15 < 4 11 < x < 19
Student B
⎢x - 15⎢ < -4 no solution
b. Solve the inequality to find the actual range of the grades. __
Error Analysis Two students simplified x + 2 - 3 - x . Which student is correct? Explain the error. 2x - 5 2x - 5
Student A
x + 2 - 3 + x = 2x - 1 ___
2x - 5 2x - 5
Student B
x+2-3-x= -1 ___
2x - 5 2x - 5
Canoeing Vanya paddled a canoe upstream for 4 miles. He then turned the canoe around and paddled downstream for 3 miles. The current flowed at a rate of
c miles per hour. Write a simplified expression to represent his total canoeing time if he kept a constant paddling rate of 6 miles
per hour.
Multiple Choice Which equation’s graph has a maximum? A y=-5+x2 B y=-x2 +5x
C y=x2 +5 D y=5x2 -1
Write Describe 2 ways to find the axis of symmetry for a parabola.
Justify Give an example of a quadratic function and an example of a function that is not quadratic. Explain why each function is or is not quadratic.
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