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Solving Quadratic Equations — Test Answers

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21
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Use the zero product property to find the solutions to the equation x squared plus 12 is equal to 7 x

A
x is equal to 3 or x is equal to 4
B
x is equal to negative 4 or x is equal to negative 3
C
x is equal to negative 4 or x is equal to 3
D
x is equal to negative 3 or x is equal to 4
22
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The square of a number is 12 less than 7 times the number. What is the number?

A
negative 4 or 3
B
3 or 4
C
negative 4 or negative 3
D
negative 3 or 4
23

Which statement could be used to describe the functions?

A
The domain of f of x is left bracket 2 comma infinity right parenthesis , while the domain of g of x is left parenthesis negative infinity comma 2 right bracket .
B
Both original functions have a domain of open paren negative infinity comma infinity close paren .
C
Both original functions have a domain of left bracket negative infinity comma 2 right parenthesis .
D
The domain of f of x is left parenthesis negative infinity comma 2 right bracket , while the domain of g of x is left bracket 2 comma infinity right parenthesis .
24

Graphs A and B are the result of combining two linear functions, f of x and g of x The functions were combined by addition to form h of x , and then by multiplication to form j times x Which statements describe the graphs? Choose two correct answers.

A
The rate of change for both f of x and g of x must be negative.
B
The y -intercepts of f of x and g of x have opposite signs.
C
Graph B represents h of x .
D
Graph B represents j times x .
E
The y -intercepts of both f of x and g of x can be 3 .
25

Which statements can be used to describe the original functions f of x and g of x ? Choose three correct answers.

A
When added, the sum of the y -intercepts must be 8 .
B
f of x could have a rate of change equal to 2 and g of x could have a rate of change of negative 1 .
C
f of x could have a rate of change equal to 3 and g of x could have a rate of change of negative 3 .
D
When multiplied, the product of the y -intercepts must be 8 .
E
Either f of x or g of x has a positive rate of change and the other has a negative rate of change.

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