Page 409 - Algebra 1

10. Solve the linear system by substitution. (59)
y = 2x - 4 y=x+5
*11. Write How can you check your work when finding a product of two binomials using (60) special-product patterns?
*12. Verify Tell whether the statement (9x + 8)(9x + 8) = 81x2 + 64 is true or false. If (60) false, explain why.
Measurement The perimeter of a rectangle is 78 feet. The length is 3 feet more than 14. Error Analysis Two students are in the process of finding the solution to the system
3 4 *13.
(59) 3 times the width. Find the dimensions of the rectangle.
(59) of equations. Which student is correct? Explain the error. x + 4y = 19
6x + 5y = 38
Student B
x = -4y + 19 6(-4y + 19) + 5y = 38 -24y + 19 + 5y = 38 -19y = 19
y = -1
Student A
x = -4y + 19 6(-4y + 19) + 5y = 38 -24y + 114 + 5y = 38
-19y = -76
_
y = 76 = 4 19
15. Installation Acontractorisinstallingsomespeciallightbulbsfortwofloorsina (55) building. For the first floor, she purchased 5 natural-light bulbs and 2 ceiling bulbs
at a cost of $23. For the second floor, she purchased 3 natural-light bulbs and 4 ceiling bulbs at a cost of $25. How much does each type of bulb cost?
*16. Multi-Step The sum of 4 times a girl’s age and 7 times a boy’s age is 169. The boy (59) is 1 year older than twice the age of the girl. Find how old each will be 10 years
from now.
*17. Geometry The perimeter of a rectangle is 24 centimeters. The length is 4 centimeters
(59) less than 7 times the width. Find the dimensions of the rectangle.
18. Data-Analysis Display the data using a box-and-whisker plot titled “Average
(54) Monthly Rainfall in Cloudcroft, NM (in inches)”. Identify any outliers. 1.68, 1.90, 1.54, 0.84, 1.35, 2.21, 6.10, 6.04, 3.11, 1.78, 1.58, 2.33
19. Verify Show that 12f 4 is the LCM of 6f 4 and 4f 2. (57)
20. Multiple Choice What is the LCM of (4x4 - 14x3) and (6x2 - 21x)? (57) A 6x3(2x - 7) B 6x4(2x - 7)
C 6(2x4 - 7x3)(2x2 - 7x) D (4x4 - 14x3)(6x2 - 21x)
394 Saxon Algebra 1