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Laabri

(A) 3/29 Practice on Algebraic Reasoning A

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Last updated over 1 year ago
18 Nsɛmmisa
Practice Problems
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Escape Room #1

Escape Room #1

Escape Room #2

Escape Room #2

Puzzle
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1.

Solve the equation.

x =

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2.

Use the expression below to answer the question.

25 + 15y + 4y - 16

Which expression is equivalent?

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3.

Sarah solved the equation. Her work is shown below.

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

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4.

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

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5.

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

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6.

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

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7.

Solve the equation.

n =

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8.

Bob solved the equation. His work is shown below.

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

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9.

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

a =

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10.

Solve the equation.

n =

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11.

What is the solution to the following equation?

a =

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12.

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

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13.

Alice solved the equation. Her work is shown below.

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

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14.

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

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15.

Solve the equation.

k =

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16.

Use the expression below to answer the question.

20 + 8y - 9y - 21

Which expression is equivalent?

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17.

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

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18.

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

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