501 Questions To Master GED Test Mathematics_pag120

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501 Questions to Master the GED® Mathematical Reasoning Test
 163. The correct answers are 910 and 1,115. The minimum number 
of items the factory could produce in this time frame is 16 × 8 × 7 
= 896 items, while the maximum is 20 × 8 × 7 = 1,120. Any whole 
number value in between these numbers is a possible number of 
items the factory could produce over the given time frame.
 164. The correct answer is choice c. Subtracting 2 from both sides 
yields the solution x > 3.
 Choice a is incorrect. In this inequality, the 2 is added to the 
variable. Therefore, when attempting to isolate the x, both sides 
should not be multiplied by 2. Instead, 2 should be subtracted 
from both sides.
 Choice b is incorrect. In this inequality, the 2 is added to the vari-
able. Therefore when attempting to isolate the x, 2 should be 
subtracted from both sides instead of being added.
 Choice d is incorrect. In this inequality, the 2 is added to the 
variable. Therefore, when attempting to isolate the x, both sides 
should not be divided by 2. Instead, 2 should be subtracted 
from both sides.
 165. The correct answer is choice b. Using the addition method, 
adding the two equations yields the equation 2x = 22, which has 
a solution of x = 11.
 Choice a is incorrect. Subtracting the two equations will eliminate 
the x from both equations, making it where y must be found first.
 Choice c is incorrect. If there were infinitely many solutions, the 
equations would be multiples of each other.
 Choice d is incorrect. If there were no solution, the equation 
would yield an incorrect statement such as 0 = 1 or –5 = 3.
 166. The correct answer is choice a. Distributing the negative and 
combining like terms yields (x2 + 5) – (x2 – x) = x2 + 5 – x2 – (–x) = 
5 + x.
 Choice b is incorrect. The negative must be distributed to every 
term in the parentheses.
 Choice c is incorrect. Since the second term is being subtracted, 
the x2 terms will cancel out. Further, the 5 and the x are not being 
multiplied.
 Choice d is incorrect. Since the second term is being subtracted, 
the x2 terms will cancel out.
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