AnswersMath 7 B M12 2526 S2Equations in the Real World

Equations in the Real World — Unit test Answers

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Adler and Erika solved the same equation using the calculations below. Adler’s WorkErika’s WorkWhich statement is true about their work?

Question illustration
A
Neither student solved for k correctly because .
Option A
B
Only Adler solved for k correctly because the inverse of addition is subtraction.
C
Only Erika solved for k correctly because the opposite of is .
Option C
D
Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.
3

Which statement can be represented by the equation ?

Question illustration
A
Two-fifths of nine is a number.
B
Two-fifths of a number is nine.
C
Nine more than two-fifths of a number is nine.
D
A number plus nine is the same as two-fifths of nine.
4

Jada is solving the equation shown below.Which is a possible first step to begin to simplify the equation? Select two options.

Question illustration
A
Divide both sides of the equation by –2.
B
Subtract 4 from both sides of the equation.
C
Multiply both sides of the equation by –2.
D
Distribute –2 over .
Option D
E
Distribute over .
Option E
5

What is the solution for the equation?

Question illustration
A
n = Negative StartFraction 13 over 4 EndFraction
Option A
B
n = negative start Fraction 7 over 4 EndFraction
Option B
C
n = StartFraction 7 over 4 EndFraction
Option C
D
n = StartFraction 13 over 4 EndFraction
Option D
6

A cycling race is 17 miles long. The cyclists will begin at point S and ride a number of laps around a neighborhood block. After the last lap, the cyclists will sprint 2.0 miles to the finish line. Using the equation , the race’s organizer determined the cyclists will need to ride 9 laps before the sprint to the finish. Which explains the error?

Question illustration
A
The equation should be , and the cyclists will need to ride 12 laps before the sprint to the finish.
Option A
B
The equation should be , and the cyclists will need to ride 21 laps before the sprint to the finish.
Option B
C
The solution should be 6, and the cyclists will need to ride 6 laps before the sprint to the finish.
D
The solution should be 8, and the cyclists will need to ride 8 laps before the sprint to the finish.
10

Emma read the statement “the quotient of six and a number, x, is the same as negative two times the difference of x and 4.5.” She translated it as shown below.What errors did Emma make? Select two options.

Question illustration
A
She should have used division to represent the quotient of six and x.
B
She should not have included an equal sign.
C
She should have used parentheses to show that is multiplied by .
Option C
D
She should have subtracted the difference from .
Option D
E
She should have used parentheses to show that is multiplied by .
Option E

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