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1

If a(b + 1) = c, the find the value of b.

1

A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children are put to bed on time. Write an equation using function notation to determine how much the babysitter earned when she gets the children to bed on time. Write an equation, do not solve.

1

Twice the square of a certain integer is 3 less than seven times the integer. Write an equation to represent this statement. Write an equation, do not solve.

1

Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. Write an equation to determine the width of the garden if the perimeter is 342 feet. Write an equation, do not solve.

1

The posted weight limit for a covered wooden bridge in Pennsylvania is 6000 pounds. A delivery truck that is carrying x identical boxes each weighing 14 pounds will pass over the bridge. If the combined weight of the empty delivery truck and its driver is 4500 pounds. Write an equation to determine the maximum possible value for x that will keep the combined weight of the truck, driver, and boxes below the bridge’s posted weight limit. Write an equation, do not solve.

1

Solve the inequality: 3x – 5 ≥ 4x – 3

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Solve the inequality : 2 ≤ 7 – x ≤ 15

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Shawn scores on his first four tests were: 80, 65, 87, and 75. What will he have to score on his next test to obtain an average of at least an 80 for the term?

1

To cut a lawn, Allan charges a fee if $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12 for his equipment and $9.00 per hour spent cutting a lawn. If x represents the number of hours spent cutting a lawn, what are all the values of x for which Taylor’s total charge is greater than Allan’s total charge?

1

A car traveled at an average speed of 80 miles per hour for 3 hours and consumed fuel at a rate of 30 miles per gallon. How many gallons of fuel did the car use for the entire 3- hour trip?

1

To encourage John to work harder in math his mother said she would pay him 10 cents for each right answer and subtract 5 cents for each wrong answer. If he earned 20 cents after doing 32 problems, how many problems did John get right?

1

If 6𝑥 − 12 = 3𝑥 + 6. Then what is the value of 3x?

1

In a video game, each player starts the game with k points and loses 2 points each time a task is not completed. If a player who gains no additional points and fails to complete 100 tasks has a score of 200 points, what is the value of k?

Algebra 2 Benchmark

Algebra 2 Benchmark

If a(b + 1) = c, the find the value of b.

A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children are put to bed on time. Write an equation using function notation to determine how much the babysitter earned when she gets the children to bed on time. Write an equation, do not solve.

Twice the square of a certain integer is 3 less than seven times the integer. Write an equation to represent this statement. Write an equation, do not solve.

Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. Write an equation to determine the width of the garden if the perimeter is 342 feet. Write an equation, do not solve.

Solve the inequality: 3x – 5 ≥ 4x – 3

Solve the inequality : 2 ≤ 7 – x ≤ 15

Shawn scores on his first four tests were: 80, 65, 87, and 75. What will he have to score on his next test to obtain an average of at least an 80 for the term?

A car traveled at an average speed of 80 miles per hour for 3 hours and consumed fuel at a rate of 30 miles per gallon. How many gallons of fuel did the car use for the entire 3- hour trip?

To encourage John to work harder in math his mother said she would pay him 10 cents for each right answer and subtract 5 cents for each wrong answer. If he earned 20 cents after doing 32 problems, how many problems did John get right?

If 6𝑥 − 12 = 3𝑥 + 6. Then what is the value of 3x?

In a video game, each player starts the game with k points and loses 2 points each time a task is not completed. If a player who gains no additional points and fails to complete 100 tasks has a score of 200 points, what is the value of k?

If a(b + 1) = c, the find the value of b.

A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children are put to bed on time. Write an equation using function notation to determine how much the babysitter earned when she gets the children to bed on time. Write an equation, do not solve.

Twice the square of a certain integer is 3 less than seven times the integer. Write an equation to represent this statement. Write an equation, do not solve.

Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. Write an equation to determine the width of the garden if the perimeter is 342 feet. Write an equation, do not solve.

Solve the inequality: 3x – 5 ≥ 4x – 3

Solve the inequality : 2 ≤ 7 – x ≤ 15

Shawn scores on his first four tests were: 80, 65, 87, and 75. What will he have to score on his next test to obtain an average of at least an 80 for the term?

A car traveled at an average speed of 80 miles per hour for 3 hours and consumed fuel at a rate of 30 miles per gallon. How many gallons of fuel did the car use for the entire 3- hour trip?

To encourage John to work harder in math his mother said she would pay him 10 cents for each right answer and subtract 5 cents for each wrong answer. If he earned 20 cents after doing 32 problems, how many problems did John get right?

If 6𝑥 − 12 = 3𝑥 + 6. Then what is the value of 3x?

In a video game, each player starts the game with k points and loses 2 points each time a task is not completed. If a player who gains no additional points and fails to complete 100 tasks has a score of 200 points, what is the value of k?