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(A) 3/29 Practice on Algebraic Reasoning A

Last updated about 1 year ago
18 questions
Practice Problems
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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