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Worksheets

PPT Workshop PRE

Total questions: 15

Worksheet time: 12mins

Name
Class
Date
1.

Expand the following function: f(x)=(x2)2f\left(x\right)=\left(x-2\right)^2

a)

x2+4x^2+4

b)

x24x+4x^2-4x+4

2.

Expand the following function: f(x)=x(x+1)2f\left(x\right)=x\left(x+1\right)^2

a)

f(x)=x3+2x2+xf\left(x\right)=x^3+2x^2+x

b)

f(x)=x4+2x3+x2f\left(x\right)=x^4+2x^3+x^2

3.

Simplify the following function: f(x)=x(x3)f\left(x\right)=x\left(x^3\right)

a)

f(x)=x4f\left(x\right)=x^4

b)


f(x)=2x4f\left(x\right)=2x^4

4.

(38)2=\left(\frac{3}{8}\right)^2=

a)

964\frac{9}{64}

b)

98\frac{9}{8}

5.

2(x3)=2\left(\frac{x}{3}\right)=

a)

2x6\frac{2x}{6}

b)

2x3\frac{2x}{3}

6.

2x(x)x3\frac{2x\left(\sqrt[]{x}\right)}{x^3}

a)

2(x3)\frac{2}{\left(\sqrt[]{x^3}\right)}

b)

2x\frac{2}{\sqrt[]{x}}

7.

2x23=\frac{2}{\sqrt[3]{x^2}}=

a)

2x322x^{\frac{3}{2}}

b)

2x232x^{-\frac{2}{3}}

c)

2x232x^{\frac{2}{3}}

d)

2x322x^{\frac{3}{2}}

8.

Solve for x; 2x=32x22x=\frac{3-2x}{2}

a)

x=38x=\frac{3}{8}

b)

x=12x=\frac{1}{2}

9.

5242=\sqrt[]{5^2-4^2}=

a)

3

b)

1

10.

x4÷2x\frac{x}{4}\div\frac{2}{x}

a)

12\frac{1}{2}

b)

x28\frac{x^2}{8}

11.

simplify 357\frac{3}{\frac{5}{7}}

a)

215\frac{21}{5}

b)

157\frac{15}{7}

12.

1225\frac{\frac{1}{2}}{25}

a)

252\frac{25}{2}

b)

150\frac{1}{50}

13.

Choose the correct statements

a)

log2(xy)=log2xlog2y\log_2\left(x-y\right)=\log_2x-\log_2y

b)

log2xlog2y=log2(xy)\log_2x-\log_2y=\log_2\left(\frac{x}{y}\right)

14.

ddx(2x23x)2\frac{\text{d}}{\text{d}x}\left(2x^2-3x\right)^2

a)

2(4x3)2\left(4x-3\right)

b)

(4x26x)(4x3)\left(4x^2-6x\right)\left(4x-3\right)

15.

Solve for x: 1x+12=51-\frac{x+1}{2}=5

a)

x=9x=-9

b)

x=8x=-8

c)

x=10x=10