Page 295 - Algebra 1

Use the formula for slope to determine the slope of the line connecting the given points. *11. (−5, 1) and (5, 7)
(44)
*12. (−3, −4) and (3, −6) (44)
*13. Find the slope of a line containing (3, -6) and (3, 4). (44)
*14. Zoology Ifared-tailedboa,awesternhemisphereconstrictorsnake,growsfrom
(44) 22 inches at 2 months of age to 42 inches at 1 year of age, what is its average growth
rate?
15. Predict The points in the table all lie on the same line. What is the missing y-value?
(44)
x
y
7
66
5
46
3
26
1
6
0
16. Planting Anorchardhasenoughspacetoplant21rowswithytreesineachrow, (28) or 18 rows with y + 7 trees in each row. If each orchard plan contains the same
number of trees, how many trees can each orchard contain?
17. Multi-Step The price of 4 pounds of hamburger is $13.80. The price of a pound of (31) potato salad is $3.75. How much would it cost to buy 12 pounds of hamburger and
3 pounds of potato salad?
18. Architecture Plansfortheconstructionofaneight-floorhotelcallforthefirstfloor (34) to be 16 feet high and each additional floor to be 10.5 feet high. What is the height
of the building?
19. Multi-Step Pencils and T-shirts were bought to sell at the school bookstore. The (35) bookstore’s profits are calculated using the equation 2y - 500 = -20x, where
y is the number of boxes of pencils sold and x is the number of T-shirts sold. a. Rewrite the profit equation in standard form.
b. Calculate the y-intercept and explain its real-world meaning. c. Calculate the x-intercept and explain its real-world meaning.
20. Multi-Step A swimmer’s average time per lap is _3 minute. If he swims for (24) _1 4
10 2 minutes, how many laps does he swim?
a. Write an equation to find the number of laps.
b. Write Explain how to solve the problem in two different ways.
21. Multiply (4.2 × 1012)(3.14 × 10-4) and write the answer in scientific notation.
(37)
22. Factor the polynomial 3x2y2 + 3xy3 - 6x3y6 completely. (38)
23. Simplify (-23)3 using exponents. (4 0)
280 Saxon Algebra 1