Page 262 - Algebra 1

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*12. Simplify the expression (39)
*13. Find the prime factorization of 918. (38)
*14. Error Analysis Two students factor the polynomial 16x4y2z + 28x3y4z2 + 4x3y2z as (38) shown below. Which student is correct? Explain the error.
15. Geometry The area of a rectangle is represented by the polynomial 6a2b + 15ab. (38) Find two factors that could be used to represent the length and width of the
rectangle.
16. Multiple Choice Complete the following statement: The side lengths of similar (36) figures ______.
A must be congruent B cannot be congruent
C are in proportion D must be whole numbers
17. Multi-Step Use the expression 24x2y3 + 18xy2 + 6xy. (38) a. What is the GCF of the polynomial?
b. Use the GCF to factor the polynomial completely.
*18. Probability The probability that a point selected at random is in the shaded
- .
45
)
Student A
4x3y2z(4x + 7y2z)
Student B
4x3y2z(4x + 7y2z + 1)
(38) __
region of the figure is represented by the fraction area of shaded rectangle . Find the
probability. Write your answer in simplest form.
9
15
*19. Analyze In order to double the volume of water in a fish tank, is it necessary (36) to double the length, width, and height of the tank? If yes, explain why. If no,
explain how to double the volume of water.
*20. Graph 27x + 9y = 54 using the x- and y-intercepts.
(35)
*21. Fundraising Forafundraiser,thescienceclubsoldpostersfor$5andmugs (35) for $8. The equation 5x + 8y = 480 shows that they made $480. Find the
x- and y-intercepts.
22. Entertainment Acontestantisinthebonusroundofagameshowwhere (34) she can win $1500 for answering the first question correctly and then an
additional $500 for each correct response to each of the next five questions. If she answers all of the questions correctly, how much money will she receive when she answers the sixth question?
area of entire rectangle
x+4
6
Lesson 39 247