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DEAMER AP PC Diagnostic Test (4/14/2026)

Last updated 23 days ago

9 questions

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Question 1

1.

2 \left( \frac{1}{4} + \frac{2}{3} \right) =

\frac{22}{24}

\frac{11}{6}

\frac{6}{7}

Question 2

2.

Simplify \frac{(2xy^2)^3}{(x^2 y)^2}

6xy^4

8x^7 y^8

\frac{6y^3}{x}

Question 3

3.

16^{-1/4} \times 4^0 =

-2

\frac{1}{2}

0

Question 4

4.

One factor of 3x^2 + 11x - 4 is

3x+1

x-4

3x-1

Question 5

5.

Factor x^2 + 2x - 8

(x+2)(x-4)

(x+8)(x-1)

(x-8)(x+1)

Question 6

6.

If x^2 - 4x + 1 = 0, then x =

2+\sqrt{3}, 2-\sqrt{3}

-2+\sqrt{3}, -2-\sqrt{3}

2+\sqrt{5}, 2-\sqrt{5}

Question 7

7.

Solve the following pair of equations for x and y: 2x - y = 5 and 4x + y = 7

x = -2, \, y = 1

x = 2, \, y = -1

Question 8

8.

If x = 11 and y = 25, then (x+y)^{\frac{1}{2}} =

6

-6

\frac{\sqrt{11}}{55}

Question 9

9.

Factor 16x^4 - 1

(2x-1)^2(2x+1)^2

(4x-1)^2(4x+1)^2

(2x-1)(2x+1)(4x^2+1)

\frac{6}{14}

\frac{4}{7}

\frac{8y^3}{x}

\frac{8y^4}{x}

-\frac{1}{2}

2

x-2

3x+4

(x-2)(x+4)

(x-4)(x-2)

\sqrt{3}, -\sqrt{3}

None of the above.

x = 1, \, y = -3

x = 6, \, y = -17

x = 2, \, y = 1

\frac{1}{6}

-\frac{1}{6}

(2x-1)(2x+1)(2x^2-1)

(2x-1)(2x+1)(2x^2+1)