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Daniel Burns
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Sample questions from the Integrated Algebra Regents with explanations.

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Daniel Burns
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Integrated Algebra Regents Review Questions (with Explanations)

Question 1 of 10 Question 1 of 10

1

The sum of 8n23n+10 and 3n26n7 is

Select one of the following:

  • 5n23n17

  • 5n29n+3

  • 11n23n+3

  • 11n29n17

Explanation

Question 2 of 10 Question 2 of 10

1

Noj is 5 years older than Jacob. The product of their ages is 84. How old is Noj?

Select one of the following:

  • 7

  • 12

  • 6

  • 14

Explanation

Question 3 of 10 Question 3 of 10

1

What is the slope of a line represented by the equation 2y=x4?

Select one of the following:

  • 12

  • -1

  • 1

  • 12

Explanation

Question 4 of 10 Question 4 of 10

1

When 16x312x2+4x is divided by 4x, the quotient is

Select one of the following:

  • 4x23x

  • 4x23x+1

  • 12x28x+1

  • 12s28x

Explanation

Question 5 of 10 Question 5 of 10

1

Which fraction represents x225x2220 expressed in its simplest form?

Select one of the following:

  • x5x4

  • 45

  • x+5x+4

  • 25x+20

Explanation

Question 6 of 10 Question 6 of 10

1

When x = 4, the value of 2x0+x! is

Select one of the following:

  • 28

  • 24

  • 26

  • 25

Explanation

Question 7 of 10 Question 7 of 10

1

Jonathan drove to the airport to pick up his friend. A rainstorm forced him to drive at an average speed of 45 mph, reaching the airport in 3 hours. He drove back home at an average speed of 55 mph. How long, to the nearest tenth of an hour, did the trip home take him?

Select one of the following:

  • 3.7 hours

  • 2.8 hours

  • 2.0 hours

  • 2.5 hours

Explanation

Question 8 of 10 Question 8 of 10

1

If the area of a rectangle is represented by x2+8x+15 and its length is represented by x+5, which expression represents the width of the rectangle?

Select one of the following:

  • x2+6x+5

  • x2+7x+10

  • x+3

  • x3

Explanation

Question 9 of 10 Question 9 of 10

1

Which interval notation represents 3x3?

Select one of the following:

  • (3,3)

  • [3,3)

  • (3,3]

  • [3,3]

Explanation

Question 10 of 10 Question 10 of 10

1

Which equation represents a line parallel to the line whose equation is 2x+3y=9?

Select one of the following:

  • y=32x4

  • y=23x+4

  • y=23x4

  • y=32x4

Explanation