# 2016 April(73E) Math Question 1

**Choice C**

$$|5-x|=|5-9|=|-4|=4$$

# 2016 April(73E) Math Question 2

**Choice J**

$$Width =\frac12\cdot Length = \frac12\cdot 12 =6 \\ $$
$$\Rightarrow Perimeter = 6+6+12+12=36$$

# 2016 April(73E) Math Question 3

**Choice A**

$$(9m-4n)-(2n+5m)=9m-4n-2n-5m=4m-6n$$

# 2016 April(73E) Math Question 4

**Choice F**

$$0.\overline{3}(Choice\ F)=0.333333...> 0.3333(Choice\ K)$$

# 2016 April(73E) Math Question 5

**Choice C**

Let x be the number of plastic bottles Jo Ellen return to the store:
$$$0.05\times6+$0.1\times8+$0.05\cdot x=$1.6 \\$$
$$\Rightarrow x = 10$$

# 2016 April(73E) Math Question 6

**Choice K**

$$change=12°C-(-4°C)=12+4=16$$

# 2016 April(73E) Math Question 7

**Choice A**

$$Sienna's\ pay = $75+25\% \times Total \ weekly \ sales = $75+25\% \times w=0.25w+75 $$

# 2016 April(73E) Math Question 8

**Choice G**

A system of equations can be represented by an augmented matrix.

In an augmented matrix, each row represents one equation in the system and each column represents a variable or the constant terms.

# 2016 April(73E) Math Question 9

**Choice E**

$$g(-3)=2(-3)^2-3(-3)+4=31$$

# 2016 April(73E) Math Question 10

**Choice J**

# 2016 April(73E) Math Question 11

**Choice B**

$$ $2000+$225\times 48 - $10400=$2400 $$

# 2016 April(73E) Math Question 12

**Choice J**

$$Area =(x+2)(2x-1)=2x^2-x+4x-2=2x^2+3x-2$$

# 2016 April(73E) Math Question 13

**Choice B**

$$p=120000(1.1)^2=145200\approx 145000$$

# 2016 April(73E) Math Question 14

**Choice G**

$$I. \ y(height)=h_{0}-\frac{1}{2}gx^2 \\$$
$$II. \ y=kx \\$$
$$III. y=a\cdot t\cdot t=at^2$$

# 2016 April(73E) Math Question 15

**Choice E**

The flatter the line, the smaller the slope.

# 2016 April(73E) Math Question 16

**Choice J**

$$Mean \ of \ the \ first \ 4 \ projects = \frac{70+75+85+94}{4}=81 \\$$
$$ Mean \ of \ the \ 5 \ projects = \frac{70+75+85+94+x}{5}\geq 81+2=83 \\ $$
$$\Rightarrow x \geq 91$$

# 2016 April(73E) Math Question 17

**Choice E**

# 2016 April(73E) Math Question 18

**Choice G**

From the smallest to the largest:
$$3, 5, 5, 5, \underline{6}, 7, 9, 11, 12$$

# 2016 April(73E) Math Question 19

**Choice A**

$$P=\frac{30}{100}$$

# 2016 April(73E) Math Question 20

**Choice H**

$$x=\sqrt{13^2-5^2}=12 \\$$
$$ \Rightarrow pitch = \frac{5}{12}$$

# 2016 April(73E) Math Question 21

**Choice D**

When x = 2, the minimum …

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# 2016 April(73E) Math Question 22

**Choice J**

$$AD=AB+BD=(AC-BC)+BD …

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# 2016 April(73E) Math Question 23

**Choice C**

$$Total \ amouunt = $1000 \times (1-20 …

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# 2016 April(73E) Math Question 24

**Choice H**

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# 2016 April(73E) Math Question 25

**Choice C**

$$Number \ of \ students \ who \ live …

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# 2016 April(73E) Math Question 26

**Choice G**

Let the line be:
$$y …

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# 2016 April(73E) Math Question 27

**Choice C**

Definition: Function, domain, range

A …

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# 2016 April(73E) Math Question 28

**Choice H**

$$Distance \ from \ Wilderness \ area \ to …

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# 2016 April(73E) Math Question 29

**Choice A**

$$\frac{x}{\frac{1}{x …

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# 2016 April(73E) Math Question 30

**Choice F**

$$\sin x=\frac{10}{26 …

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# 2016 April(73E) Math Question 31

**Choice E**

$$Area \ of \ \triangle ABC=25 …

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# 2016 April(73E) Math Question 32

**Choice K**

By definition,
$$\cos \angle B …

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# 2016 April(73E) Math Question 33

**Choice C**

$$x=\sqrt{13^2-12^2 …

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# 2016 April(73E) Math Question 34

**Choice H**

$$(\frac{200}{x}-1)\cdot …

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# 2016 April(73E) Math Question 35

**Choice C**

$$Length \ of \ each \ line \ segment …

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# 2016 April(73E) Math Question 36

**Choice F**

$$6a+3b=12 \ (I.) \\$$
$$ -2a …

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# 2016 April(73E) Math Question 37

**Choice E**

$$\angle C=\frac{180°-42 …

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# 2016 April(73E) Math Question 38

**Choice F**

As seen from the graph …

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# 2016 April(73E) Math Question 39

**Choice B**

$$AB=\sqrt{4^2+7 …

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# 2016 April(73E) Math Question 40

**Choice K**

$$g=\frac{3t+s}{3 …

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# 2016 April(73E) Math Question 41

**Choice B**

$$\frac{x^2+5x+6 …

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# 2016 April(73E) Math Question 42

**Choice J**

$$Area \ of \ shaded \ region = \pi …

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# 2016 April(73E) Math Question 43

**Choice A**

$$(1+2i)^2=1+4i …

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# 2016 April(73E) Math Question 44

**Choice H**

$$Number \ of \ blue \ tickets = \frac …

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# 2016 April(73E) Math Question 45

**Choice A**

$$80x^3y+48x^2y^2 …

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# 2016 April(73E) Math Question 46

**Choice K**

The coordinates of the center …

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# 2016 April(73E) Math Question 47

**Choice D**

$$\tan \angle DCE=\frac{5-2 …

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# 2016 April(73E) Math Question 48

**Choice J**

$$AAD=\sqrt{11^2+3 …

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# 2016 April(73E) Math Question 49

**Choice A**

The denominator of any fraction …

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# 2016 April(73E) Math Question 50

**Choice G**

The statement illustrates the commutative …

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# 2016 April(73E) Math Question 51

**Choice D**

$$V_{Cone \ B}=\frac{1 …

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# 2016 April(73E) Math Question 52

**Choice B**

Since the two lines are …

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# 2016 April(73E) Math Question 53

**Choice D**

**What is the standard equation …**

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# 2016 April(73E) Math Question 54

**Choice K**

To be the side lengths …

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# 2016 April(73E) Math Question 55

**Choice C**

Let the number of seconds …

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# 2016 April(73E) Math Question 56

**Choice G**

ab is a positive even …

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# 2016 April(73E) Math Question 57

**Choice B**

The sum of the fractions …

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# 2016 April(73E) Math Question 58

**Choice K**

$$x^{6a}=(x^{2a})^3 …

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# 2016 April(73E) Math Question 59

**Choice D**

$$The \ slope \ of \ line \ s …

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# 2016 April(73E) Math Question 60

**Choice J**

$$x+y=360° \\$$
$$ \Rightarrow 4y …

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