(A) 3/29 Practice on Algebraic Reasoning A

1

Solve the equation.

null

x =

1

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

5 (5 + 3y) + 2 (2y - 8)

5 (10 + 5y) + 2 (4y - 9)

6 (5 + 3y - 5y -16)

5 (15 + 3y + 8y - 16)

1

Sarah solved the equation. Her work is shown below.

null

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

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.

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.

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?

2(10 + 4y - 7y - 19)

2(10 + 4y) - 3(3y - 7)

4(5 + 2y - 5y -17)

4(5 + 2y) - 3(3y +7)

1

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

2

3

4

5

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.

Escape Room #1

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?