Page 456 - Algebra 1
P. 456
Sports TheagesoftheplayersoftheEasternConferenceteamduringthe2007 All-Star Game are listed below. Create a histogram of the data.
25, 30, 24, 26, 30, 29, 21, 25, 33, 28, 34, 25
Multi-Step Find the volume of a toy building block that it is in the shape of a cube
with a side length of (2x + 2) inches.
a. Find the area of the base. Find the product of the length and the width.
b. Find the volume by multiplying the product found in part a by the height. Verify Show that (20, 15) is a solution to the system of equations.
5x - 2y = 70 3x + 4y = 120
Coordinate Geometry For the figure at right, find two lines that are both a line of symmetry and a perpendicular bisector of the sides.
Job Hunting Claudio is looking for a new job in sales. He interviews with
Company A and they offer him a base salary of $32,000 plus a 1.5% bonus on his total sales for the year. When he interviews with Company B, they offer him a base salary of $26,000 plus a 3% bonus on his total sales for the year. How much would Claudio have to sell to make the same amount at each job?
Analyze If an equation is multiplied by a number, a system of equations is formed that has infinitely many solutions. Classify the system formed by adding a number to a given equation.
Determine if the lines are parallel or perpendicular. 20. y = 3x + 12 and y + 9 = 3x
*14.
(62)
15.
(58)
16.
(59)
*17.
(65)
*18.
(63)
*19.
(67)
4
O
y D
E
2
x
-2
2
4
6
-2
G
F
(65)
Solve each system of linear equations. 21. 2x - 3y = -17
(63)
*22. y = x - 5
(67)
2x - 9y = -47
23. Multiple Choice If y varies inversely as x, and y = 7.5 when x = 5, what is the value
(64) of k?
A 0 B 0.67 C 1.5 D 37.5
24. Write Will the graph of an inverse variation ever cross the x-axis? Explain. (64)
25. Probability A teacher allows students to draw from a bag of various prizes, four
(64)
y = -2x + 1
of which are new graphing calculators. If there are 24 students and each student chooses 3 items, what is the probability that the first student will choose a graphing calculator on his or her first draw?
Lesson 67 441