Regents Prep: Math A
Multiple-Choice Questions
Regents Prep Math A: Topical Multiple-Choice Question Archive
Use of Topical Archive Multiple-Choice Questions
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Operations: Question 1 of 20
A total of $450 is divided into equal shares. If Kate receives four shares, Kevin receives three shares, and Anna receives the remaining two shares, how much money did Kevin receive?
  1. $100
  2. $150
  3. $200
  4. $250

Correct Answer Number: 2

Explanation: Represent each share by x. Kate has 4x, Kevin has 3x and Anna has 2x. All of the shares together total $450. So we represent 4x+3x+2x=450. This gives 9x=450 and x=50 (so each share is $50). Since Kevin has 3 shares he has $150.

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Operations: Question 2 of 20
Linda paid $48 for a jacket that was on sale for 25% of the original price. What was the original price of the jacket?
  1. $60
  2. $72
  3. $96
  4. $192

Correct Answer Number: 4

Explanation: 25% of the original price can be represented algebraically by (0.25)(x). This expression equals $48. So we have (0.25)(x)=48. To solve for x, divide each side of the equation by 0.25. The value for x is 192.


Operations: Question 3 of 20
The problem shown below is to be expressed as a single fraction:
 

  1. A
  2. B
  3. C
  4. D

Correct Answer Number: 2

Explanation: When adding fractions, it is necessary to obtain a common demonimator. Multiply the two demonimators shown to get the common denominator. It will then be necessary to adjust the numerators--multiply the left numerator by x and multiply the right numerator by x+1. Add the resulting fractions.

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Operations: Question 4 of 20
In the problem below, find the correct sum:
 

  1. A
  2. B
  3. C
  4. D

Correct Answer Number: 1

Explanation: When adding polynomials, combine similar terms and add their coefficients(the numbers in front of the variables).

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Operations: Question 5 of 20
Which expression is equivalent to the given expression?
 

  1. A
  2. B
  3. C
  4. D

Correct Answer Number: 1

Explanation: When this expression is broken down it becomes 2x2x2x4x4 which is equal to 2x2x2x2x2x2x2.

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Operations: Question 6 of 20
Find the equivalent expression:
 

  1. A
  2. B
  3. C
  4. D

Correct Answer Number: 1

Explanation: Reduce both radicals and add the results.

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Operations: Question 7 of 20
The transformation of triangle ABC is shown in the accompanying diagram. This transformation is an example of a
 

  1. line reflection in the given line
  2. rotation about point A
  3. dilation
  4. translation

Correct Answer Number: 2

Explanation: This transformation was not a reflection (a flip). It was not a dilation (an enlargement). It was not a translation (a slide). It was a rotation (a turning).

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Operations: Question 8 of 20
In a hockey league, 87 players play on seven different teams. Each team has at least 12 players. What is the largest possible number of players on any one team?
  1. 13
  2. 14
  3. 15
  4. 21

Correct Answer Number: 3

Explanation: If each team MUST have at least 12 members, then 12x7=84 players must be assigned. That leaves 3 extra players. Our largest possible team would be 15 players.


Operations: Question 9 of 20
If n-5 is an even integer, what is the next larger consecutive even integer?
  1. n-7
  2. n-3
  3. n-4
  4. n+2

Correct Answer Number: 2

Explanation: To get to the next larger even integer, we will need to add 2 to our present number. (n-5) + 2 = n-5+2 = n-3.


Operations: Question 10 of 20
When 20 is subtracted from -4, the result is
  1. 24
  2. 16
  3. -16
  4. -24

Correct Answer Number: 4

Explanation: Be careful of this wording. "Subtracted from" means that we write -4 - 20 which equals -24.

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Operations: Question 11 of 20
What is the quotient of -80 and -20?
  1. -100
  2. -4
  3. 4
  4. 1600

Correct Answer Number: 3

Explanation: Quotient means to divide. Remember that a negative number divided by a negative number will give a positive answer.

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Operations: Question 12 of 20
The expression (4a+2b) - (2a-3b) - (a-b) when simplified is
  1. 6a+6b
  2. a+6b
  3. -2b
  4. 6b

Correct Answer Number: 2

Explanation: Remember to distribute the negative sign across the parentheses. This distribution gives 4a+2b-2a+3b-a+b. Combining similar terms gives 1a+6b = a+6b.

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Operations: Question 13 of 20
If the point (2,6) is reflected over the x-axis, the coordinates of the image point will be
  1. (-2,6)
  2. (2,-6)
  3. (6,-2)
  4. (-2,-6)

Correct Answer Number: 2

Explanation: Draw a sketch so that you can see what is happening to the coordiantes. When you reflect over the x-axis, the y-coordinate changes sign.

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Operations: Question 14 of 20
The letter A has
  1. point symmetry only
  2. line symmetry only
  3. point and line symmetry
  4. no symmetry

Correct Answer Number: 2

Explanation: The letter A has vertical line symmetry. A vertical line drawn through the center of the letter produces the affect of a mirror image. In order to possess point symmetry, the image must be the same right-side-up and up-side-down. This is not true for the letter A.

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Operations: Question 15 of 20
Simplify [-5-(-22)].
  1. -27
  2. -17
  3. 17
  4. 27

Correct Answer Number: 3

Explanation: The rules for subtracting signed numbers say to change the sign of the number being subtracted and follow the rules for adding signed numbers. The problem is really just -5+22=17.

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Operations: Question 16 of 20
The value of -3² is?
  1. +9
  2. +3
  3. -9
  4. -3

Correct Answer Number: 3

Explanation: Be Careful!! There are no parentheses in this problem, such as (-3)².
(-3)² = 9
but -3² = -9. The power is being applied to the 3 only.

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Operations: Question 17 of 20
Find the sum of (-16) and (-8) and then divide that answer by 2.
  1. 12
  2. -12
  3. 4
  4. -4

Correct Answer Number: 2

Explanation: The sum of (-16) and (-8) is (-24). When divided by 2, this answer is -12.

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Operations: Question 18 of 20
The value of (-2)² is
  1. 4
  2. -4
  3. 2
  4. -2

Correct Answer Number: 1

Explanation: (-2)² = (-2)•(-2)=4

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Operations: Question 19 of 20
If 3x²-7y+6 is subtracted from 4x²-3y+4, the result is
  1. 7x²-10y+10
  2. x²-10y-2
  3. x²+4y-2
  4. -x²-4y+2

Correct Answer Number: 3

Explanation: Line up the two expressions with 4x²-3y+4 on the top. Be sure to remember to change the signs when subtracting.

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Operations: Question 20 of 20
The expression (5x+6y)-(7x-2y)+(x-2y) when simplified is
  1. -x+6y
  2. x+6y
  3. 13x-2y
  4. 13x+10y

Correct Answer Number: 1

Explanation: Removing the parentheses gives
(5x+6y)-(7x-2y)+(x-2y)
5x+6y-7x+2y+x-2y
-x+6y

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