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Mathematics
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Mathematics Its Power and Utility
Exam 3: Introduction to Algebra
Path 4
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Question 241
Short Answer
Solve the equation.
a
−
5
=
−
3
a - 5 = - 3
a
−
5
=
−
3
a
=
a =
a
=
__________
Question 242
Short Answer
Find two consecutive even numbers whose sum is 98. Smaller number = __________ Second number = __________
Question 243
Multiple Choice
Simplify the expression.
18
y
+
8
−
3
y
−
8
18 y + 8 - 3 y - 8
18
y
+
8
−
3
y
−
8
Question 244
Multiple Choice
Find the indicated sum or difference.
(
−
3
z
2
+
1
)
+
(
7
z
2
−
1
)
\left( - 3 z ^ { 2 } + 1 \right) + \left( 7 z ^ { 2 } - 1 \right)
(
−
3
z
2
+
1
)
+
(
7
z
2
−
1
)
Question 245
Short Answer
Simplify the algebraic expression.
(
n
−
11
)
(
n
−
4
)
( n - 11 ) ( n - 4 )
(
n
−
11
)
(
n
−
4
)
Question 246
Short Answer
Find the indicated sum or difference.
2
s
−
7
t
−
4
s
+
t
2 s - 7 t - 4 s + t
2
s
−
7
t
−
4
s
+
t
Question 247
Multiple Choice
Classify the polynomial. ZXW
Question 248
Short Answer
Solve the formula for
W
W
W
. Perimeter of a rectangle: P = 2L+ 2W
Question 249
Multiple Choice
Multiply.
8
x
(
−
2
y
)
(
−
x
)
(
−
2
y
)
8 x ( - 2 y ) ( - x ) ( - 2 y )
8
x
(
−
2
y
)
(
−
x
)
(
−
2
y
)
Question 250
Short Answer
If
, then the endpoint is __________( an open dot / a closed dot ).
Question 251
Short Answer
Give the degree and the numerical coefficient of the following term.
7
x
3
7 x ^ { 3 }
7
x
3
coefficient = __________ degree = __________
Question 252
Short Answer
Find the degree of the polynomial. Enter your answer as a number.
c
c
c
3
3
3
+
3
+ 3
+
3
Question 253
Multiple Choice
Solve the equation.
a
−
9
=
−
5
a - 9 = - 5
a
−
9
=
−
5
Question 254
Short Answer
When you multiply reciprocals, the product is __________.
Question 255
Matching
Match each definition below with the letter of the corresponding property.
Premises:
Responses:
The solution of an equation is unchanged by subtracting the same number from both sides of the equation.
 Multiplication Property of EquationsÂ
\text { Multiplication Property of Equations }
 Multiplication Property of EquationsÂ
The solution of an equation is unchanged by adding the same number to both sides of the equation.
 Subtraction Property of EquationsÂ
\text { Subtraction Property of Equations }
 Subtraction Property of EquationsÂ
The solution of an equation is unchanged by multiplying both sides of the equation by the same nonzero number.
 Addition Property of EquationsÂ
\text { Addition Property of Equations }
 Addition Property of EquationsÂ
Premises:
The solution of an equation is unchanged by subtracting the same number from both sides of the equation.
The solution of an equation is unchanged by adding the same number to both sides of the equation.
The solution of an equation is unchanged by multiplying both sides of the equation by the same nonzero number.
Responses:
 Multiplication Property of EquationsÂ
\text { Multiplication Property of Equations }
 Multiplication Property of EquationsÂ
 Subtraction Property of EquationsÂ
\text { Subtraction Property of Equations }
 Subtraction Property of EquationsÂ
 Addition Property of EquationsÂ
\text { Addition Property of Equations }
 Addition Property of EquationsÂ
Question 256
Multiple Choice
A cabinet shop produces two types of custom-made cabinets for a customer. If the fancy cabinet costs 5 times as much as the standard cabinet, and if the total price for both cabinets is $7,350, how much does each cabinet cost?