Algebra I - Challenging

Question 1: If

q^{3} = 27

, solve

\frac{1}{2} q^{2} + 2 q

A

10 \frac{1}{2}

B

9

C

6

D

58 \frac{1}{2}

Question 2: If

s = - 2

,

t = \frac{1}{2}

solve

- 2 s^{2} t + \frac{t}{s}

A

- 2

B

- 4 \frac{1}{4}

C

- 3 \frac{3}{4}

D

4

Question 3: Simplify:

0.2 x (- 10 x^{2} y + x y)

A

- 1.8 x^{3} y + 0.2 x y^{2}

B

- 2 x^{3} y + 0.2 x^{2} y

C

- 2.2 x^{3} y^{2}

D

2 x^{2} y^{2}

Question 4: Simplify:

7 \sqrt{3} \cdot x^{3} y^{2} \cdot \frac{\sqrt{13}}{21}

A

7 x^{3} y^{2} \sqrt{13}

B

x^{3} y^{2} \frac{\sqrt{13}}{3}

C

x^{3} y^{2} \frac{\sqrt{39}}{3}

D

7 x^{3} y^{2}

Question 5: Simplify:

3 x^{2} y \sqrt{2} \cdot (- y^{4} \sqrt{6})

A

- 3 x^{2} y^{5} \sqrt{8}

B

- 6 x^{2} y^{5} \sqrt{3}

C

- 3 x^{3} y^{5} \sqrt{6}

D

3 x^{2} y^{5} \sqrt{12}

Question 6: Simplify:

\frac{2 p^{2} \cdot 6 q^{3}}{4 p q^{2}}

A

p^{2} q

B

2 p q

C

3 p q

D

p q^{2}

Question 7: Simplify:

\frac{v^{3} u^{2} \sqrt{3}}{u v^{2}}

A

v u \sqrt{3}

B

v^{2} u \sqrt{3}

C

u^{2} v \sqrt{3}

D

\frac{v^{2}}{u} \sqrt{3}

Question 8: Simplify:

\frac{5 x^{3} \cdot 7 y^{4}}{70 x^{2} y^{2}}

A

\frac{2 x y}{5}

B

\frac{x y^{2}}{2}

C

\frac{x^{2} y}{2}

D

x y^{2}

Question 9: Expand and simplify the expression:

2 (x + y - z) - (2 x - y + 2 z)

A

0

B

- 4 z

C

3 y - 4 z

D

y

Question 10: Expand and simplify the expression:

- \frac{1}{2} (p^{2} - 2 p q - r) - (- \frac{1}{2} p^{2} + 2 p q - \frac{1}{2} r)

A

p q - r

B

- p q

C

p^{2} - p q + r

D

- p q + r

Test: Algebra I - Challenging

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