Review Expressions, Equations, Inequalities

Match the vocabulary term with the correct example.

• Equation

• Expression

• greater than

• less than

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.

The linear model 𝒇 = 𝟏𝟕. 𝟕𝟒𝒎 + 𝟒𝟎𝟐 represents the total amount of flowers, 𝒇, in a community park 𝒎 minutes since volunteers started planting. Based on the linear model, approximately how many total flowers are expected to be planted after 𝟏𝟕 minutes?

• 704 flowers

• 402 flowers

• 437 flowers

• 101 flowers

• A

• B

• C

• D

• A

• B

• C

• D

• A

• B

• C

• D