14.
Kate found the area of a pound, but her final answer came out as 72,000 inches squared. She wants to convert the answer to a more appropriate unit and quantity. Which answer choice should she use to express her final solution?
0.0000179
�
�
�
�
�
2
0.0000179miles
2
500
�
�
2
500ft
2
0.0000465
�
�
2
0.0000465km
2
500
�
�
�
�
500feet
13 answers
The most appropriate unit and quantity for expressing the final solution would be 500 square feet.
15.
Presley is solving the linear equation
6
�
+
9
+
12
=
45
6x+9+12=45
As she was solving she took the equation
6
�
+
21
=
45
6x+21=45
performed an algebraic operation and ended up with
6
�
=
24
6x=24
Which algebraic property justifies this operation?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Presley is solving the linear equation
6
�
+
9
+
12
=
45
6x+9+12=45
As she was solving she took the equation
6
�
+
21
=
45
6x+21=45
performed an algebraic operation and ended up with
6
�
=
24
6x=24
Which algebraic property justifies this operation?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
Subtraction Property of Equality
16.
Solve the equation below for a
�
�
+
�
=
�
ax+b=c
�
=
�
�
−
�
a=
c−b
x
�
=
�
�
−
�
�
a=xc−xb
�
=
�
−
�
�
a=
x
c−b
None of the above
Solve the equation below for a
�
�
+
�
=
�
ax+b=c
�
=
�
�
−
�
a=
c−b
x
�
=
�
�
−
�
�
a=xc−xb
�
=
�
−
�
�
a=
x
c−b
None of the above
None of the above
17.
The linear expression
−
12
�
+
48
−12x+48
represents the number of pictures remaining based on the number of film cartridges used x. Which of the following parts of this expression represents the starting number of pictures?
48
-12
12
x
The linear expression
−
12
�
+
48
−12x+48
represents the number of pictures remaining based on the number of film cartridges used x. Which of the following parts of this expression represents the starting number of pictures?
48
-12
12
x
48
18.
Select all the coefficients in the expression below
−
7
�
−
3
�
+
4
−7x−3x+4
-7x
-7
-3
4
Select all the coefficients in the expression below
−
7
�
−
3
�
+
4
−7x−3x+4
-7x
-7
-3
4
-7
-3
There are two coefficients in the expression: -7 and -3.
-3
There are two coefficients in the expression: -7 and -3.
19.
In the linear expression
2
�
+
9
2x+9
the 9 is a __________. Select all that apply.
variable
coefficient
term
constant
factor
In the linear expression
2
�
+
9
2x+9
the 9 is a __________. Select all that apply.
variable
coefficient
term
constant
factor
term
constant
constant
20.
Solve for x: 2x + 6 = 14
x = 8
x = -4
x = 4
x = 10
Solve for x: 2x + 6 = 14
x = 8
x = -4
x = 4
x = 10
To solve for x, we need to isolate the variable on one side of the equation.
2x + 6 = 14
Subtract 6 from both sides:
2x = 14 - 6
2x = 8
Divide both sides by 2:
x = 4
Therefore, the solution is x = 4.
2x + 6 = 14
Subtract 6 from both sides:
2x = 14 - 6
2x = 8
Divide both sides by 2:
x = 4
Therefore, the solution is x = 4.