(A) 3/29 Practice on Algebraic Reasoning A

1

Solve the equation.

x = _______

1

Use the expression below to answer the question.

25 + 15y + 4y - 16

Which expression is equivalent?

1

Sarah solved the equation.  Her work is shown below.

Identify and explain Sarah’s error in solving the equation.  __________

Re-solve the equation to find the correct solution.  __________

1

Select ALL expressions that are equivalent to 4(x+ 3) - 10 + 6x.

1

Emma, Luke and Noah each wrote expressions to represent their hourly earnings for an after-school job for a week where h represents the number of hours worked.  

Emma:   8.75h + 21         Luke:  6(3.5h + 12)       Noah:  9.75h + 13

How many hours will Emma and Noah have to work in order to make the same amount of money in one week?   

 _______ hours

1

Select ALL expressions that are equivalent to 3(x + 3) - 12 + 5x.

1

Solve the equation.

n = _______

1

Bob solved the equation.  His work is shown below.

Identify and explain Bob’s error in solving the equation.  __________

Re-solve the equation to find the correct solution.  __________

1

What value of a will the equation 5x + 7 = 5x + a  have an infinite number of solutions?

a = _______ 

1

Solve the equation.

n = _______

1

What is the solution to the following equation?

a = _______

1

Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job for a week where h represents the number of hours worked.  

Regina:   6.50h + 16         Phil:  3(2.5h + 5)       Joseph:  7.50h + 10

How many hours will Regina and Joseph have to work in order to make the same amount of money in one week?    

 _______ hours

1

Alice solved the equation.  Her work is shown below.

Identify and explain Alice’s error in solving the equation.  __________

Re-solve the equation to find the correct solution.  __________

1

For an annual membership fee of $800, Mr. Jones can join a country club that would allow him to play a round of golf for $25. Without the membership, the country club charges $65 for each round of golf. How many rounds of golf would Mr. Jones have to play for the cost to be less expensive with a membership?         

_______rounds                           

1

Solve the equation.

k = _______

1

Use the expression below to answer the question.

20 + 8y - 9y - 21

Which expression is equivalent?

1

For which value of a will the equation 3x – 2 = 3x – a have an infinite number of solutions?

1

Jenny solved the equation 1 – (2x + 4) = -4x + 5.  Her work is shown below.

Identify and explain Jenny’s error in solving the equation.  __________

Re-solve the equation 1 – (2x + 4) = -4x + 5 to find the correct solution.  __________

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Escape Room #2

(A) 3/29 Practice on Algebraic Reasoning A

Use the expression below to answer the question. 25 + 15y + 4y - 16Which expression is equivalent?

Select ALL expressions that are equivalent to 4(x+ 3) - 10 + 6x.

Select ALL expressions that are equivalent to 3(x + 3) - 12 + 5x.

Use the expression below to answer the question. 20 + 8y - 9y - 21Which expression is equivalent?

For which value of a will the equation 3x – 2 = 3x – a have an infinite number of solutions?

Use the expression below to answer the question. 25 + 15y + 4y - 16Which expression is equivalent?

Select ALL expressions that are equivalent to 4(x+ 3) - 10 + 6x.

Select ALL expressions that are equivalent to 3(x + 3) - 12 + 5x.

Use the expression below to answer the question. 20 + 8y - 9y - 21Which expression is equivalent?

For which value of a will the equation 3x – 2 = 3x – a have an infinite number of solutions?

Use the expression below to answer the question.

25 + 15y + 4y - 16

Which expression is equivalent?

Use the expression below to answer the question.

20 + 8y - 9y - 21

Which expression is equivalent?

Use the expression below to answer the question.

25 + 15y + 4y - 16

Which expression is equivalent?

Use the expression below to answer the question.

20 + 8y - 9y - 21

Which expression is equivalent?