# 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

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

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

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

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 …

# 2016 April(73E) Math Question 22

Choice J

$$AD=AB+BD=(AC-BC)+BD=12-3+12=21$$

- Cost

Choice C

Choice G

Choice A

Choice K

Choice F

# 2016 April(73E) Math Question 41

Choice B

$$\frac{x^2+5x+6}{x+2}+x+5 = \frac{(x+2)(x+3)}{x+2}+x+5 =x+3+x+5=2x+8$$

Choice J

# 2016 April(73E) Math Question 45

Choice A

$$80x^3y+48x^2y^2=\underline{16x^2y}(5x+3y)$$

# 2016 April(73E) Math Question 46

Choice K

The coordinates of the center …

# 2016 April(73E) Math Question 47

Choice D

$$\tan \angle DCE=\frac{5-2}{13-11}=\frac{3}{2}$$

Choice J

# 2016 April(73E) Math Question 52

Choice B

Since the two lines are …

# 2016 April(73E) Math Question 53

Choice D

What is the standard equation …

# 2016 April(73E) Math Question 54

Choice K

To be the side lengths …

# 2016 April(73E) Math Question 55

Choice C

Let the number of seconds …

# 2016 April(73E) Math Question 56

Choice G

ab is a positive even …

# 2016 April(73E) Math Question 57

Choice B

The sum of the fractions: …

# 2016 April(73E) Math Question 58

Choice K

$$x^{6a}=(x^{2a})^3=(3)^3=27$$

Choice D