Algebra II - Challenging

Question 1: Simplify the expression:

3 \frac{2}{3} x (6 x^{2} - 9 x + \frac{3}{8})

A

22 x^{3} - 33 x^{2} + 1 \frac{3}{8} x

B

12 x^{3} - 11 x^{2} + 5 \frac{3}{8} x

C

19 x^{3} - 28 x^{2} - 2 \frac{1}{3} x

D

18 \frac{2}{3} x^{3} - 27 \frac{2}{3} x^{2} + 3 \frac{7}{8} x

3 x - 8

Question 2: Simplify the expression:

\frac{4 x^{2} - 8}{2} - \frac{16 x^{2} + 24}{4}

A

2 x^{2} + 8

B

- 2 x^{2} - 4

C

- 2 x^{2} + 12

D

- 2 x^{2} - 10

Question 3: Simplify the expression:

\frac{2}{3} R (6 R - 18) - \frac{1}{5} (24 + 15 P)

A

4 R^{2} - 12 R - 3 P - 4 \frac{4}{5}

B

- 3 R^{2} + 2 P - 11

C

\frac{4}{5} R^{2} - 5 P - 15 \frac{2}{3}

D

4 R - P + 13

Question 4: Simplify the expression by collecting like terms:

2 x y + 5 x z + 2 x (3 y z - y) - z (x - x y) + x z (5 y - 4)

A

2 x y + 2 x z

B

0

C

x y + 6 x y z

D

12 x y z

Question 5: Simplify the expression by collecting like terms:

2 x (1 - y) - 3 (x - y) + y (x + 2) + x y

A

x + y

B

- x + 2 y

C

- \frac{1}{2} x + 3 y

D

- x + 5 y

Test: Algebra II - Challenging