Page 417 - Algebra 1

8. Multiple Choice A rectangular picture is twice as long as it is wide. The picture has (58) a 4-inch-wide mat around the picture. Let x represent the picture’s width. Which
product gives the area of the picture and mat?
A (2x)(x) B (2x + 4)(x + 2)
C (2x+8)(x+8) D (-2x+6)(6+2) Solve the systems by the method given.
*9. Use a graphing calculator to solve. (55)
10. Use substitution to solve. (59)
-5x + 8y = 7 3y = -2x - 9
2x - 3y = 3 x = 4y - 11
11. World Records In 2005, power-plant employees built the world’s largest igloo in
(46) Quebec, Canada. The igloo is approximately in the shape of a half sphere and has
a volume of about 1728π cubic feet. What is the igloo’s approximate diameter? (Hint: The formula for the volume of a sphere is V = _4 πr3.)
12. Multi-Step The following data shows the attendance at seven home games for a high (48) school football team: 5846, 6023, 5921, 7244, 6832, 6496, 7012.
a. Find the mean attendance value for the data set.
b. Suppose the stadium was almost filled to capacity for the homecoming game and that the data value 11,994 is now added to the data set. How does this outlier affect the mean of the data?
Simplify.
13.
(60)
*15.
(59)
16.
(52)
17.
(56)
14. (-2x + 5)2 (60)
At a school fundraiser, students charge $10 to wash a car and $20 to wash an SUV. They make $1700 by washing 105 vehicles. How many of each kind do they wash?
Multi-Step Use these points (1, 3) and (2, 8) to answer the problems below. a. Find the slope of the line that passes through the points.
b. Graph the line.
c. Write the equation of the line in point-slope form.
d. Write the equation of the line in slope-intercept form.
e. Fill in the missing coordinates of the points (x, -3) and (-2, y).
Physics An object’s weight on the moon varies directly with its weight on Earth. A 60-pound dog would weigh 9 pounds on the moon. How much would a 25-pound dog weigh on the moon?
(4b - 3)2 Fundraising
3
402
Saxon Algebra 1