Review Expressions Equations Inequalities

Which statement is true?

• The student solves the equation correctly, and the equation has infinitely many solutions.

• The student solves the equation correctly, and the equation has no solution.

• The student solves the equation incorrectly because the original equation has one solution.

• The student solves the equation incorrectly because the original equation has no solution.

Which value of 𝒙 makes the equation 𝟔(𝒙 − 𝟐) = 𝟑 − 𝟗𝒙 true?

Which statement describes the solution(s) to the system of equations 𝟐𝒙 − 𝟑𝒚 = −𝟏𝟎 and −𝟔𝒙 + 𝟗𝒚 = −𝟏𝟎?

• The system has no solution.

• The system has one solution of

  (3, −13).

• The system has one solution of (−3, 3).

• The system has no solution.

A farmer has a total of 𝟐𝟕 turkeys and sheep on the farm with a total of 𝟕𝟖 animal legs. The system of equations can be used to find the number of turkeys and the number of sheep on the farm. 𝒙 + 𝒚 = 𝟐𝟕 𝟐𝒙 + 𝟒𝒚 = 𝟕𝟖 Given that a sheep has more legs than a turkey, what does the solution (𝟏𝟓, 𝟏𝟐) represent?

• For every sheep, there are 15 turkeys.

• For every turkey, there are 15 sheep

• There are 15 sheep and 12 turkeys on the farm.

• There are 15 turkeys and 12 sheep on the farm.

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