Andrea is 6 years younger than tony. In two years, tony will be three times as old as Andrea. Let a be Tony’s current age. Which of these linear equations can be used to find Andreas and Tony’s current ages.
A. a = 3 (a+2)
B. a + 2 = 3 (a - 6+2)
C. 3(a+2)=a - 6 + 2
D. a + 2 = 3(a + 6 + 2)
so does the equation have infinite solutions
The correct equation would be:
C. 3(a+2) = a - 6 + 2
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Andrea is 6 years younger than Tony. In two years, Tony will be three times as old as Andrea. Let a be Tony’s current age. Which of these linear equations can be used to find Andrea’s and Tony’s current ages?(1 point)
Responses
a=3(a+2)
a equals 3 left parenthesis a plus 2 right parenthesis
a+2=3(a−6+2)
a plus 2 equals 3 left parenthesis a minus 6 plus 2 right parenthesis
a+2=3(a+6+2)
a plus 2 equals 3 left parenthesis a plus 6 plus 2 right parenthesis
3(a+2)=a−6+2
The correct equation would be:
a + 2 = 3(a - 6 + 2)
Five less than three-fourths of x is seven. If x equals 16, what is the last property of equality you would use to justify the solution to this problem?(1 point)
Responses
Addition Property of Equality
Addition Property of Equality
Identity Property of Multiplication
Identity Property of Multiplication
Subtraction Property of Equality
Subtraction Property of Equality
Division Property of Equality
The last property of equality that you would use to justify the solution to this problem is:
Subtraction Property of Equality
Manipulate the equation y=7x−12 so that it is written in terms of x. Which equation is equivalent to y=7x−12?(1 point)
Responses
x=(y+12)7
x equals Start Fraction left parenthesis y plus 12 right parenthesis over 7 End Fraction
x=(y−12)7
x equals Start Fraction left parenthesis y minus 12 right parenthesis over 7 End Fraction
x=(y12)−7
x equals left parenthesis Start Fraction y over 12 End Fraction right parenthesis minus 7
x=(y7)+12
The equation that is equivalent to y=7x−12 when written in terms of x is:
x=(y+12)7