Choice J
$$\frac{15}{3.25}=\frac{10.4}{x}$$ $$15x=10.4\times3.25=33.8$$ $$x=\frac{33.8}{15}=2.25$$
Choice B
$$4-\frac{1}{4}-1\frac{1}{2}$$ $$=4-\frac{1}{4}-1\frac{2}{4}$$ $$=2\frac{1}{4}$$
Choice B
$$\angle BDC=90°-\angle CBD$$ $$\angle CBD=180°-25°-30°=55°$$ $$\Rightarrow \angle BDC=90°-55°=35°$$
Choice F
When two numbers (or variables) are multiplied together within parentheses, the exponent the quantity in the parentheses is raised to can be distributed to both terms.
$$xy^{a}=x^{a}y^{a}$$
Choice G
$$\overline{PQ}:\overline{QR}=3:8$$ $$\overline{PQ}:\overline{PR}=3:3+8=3:11$$
Choice K
$$\overline{AC}=\frac{5}{6}\overline{JK}=\frac{5}{6}\times18=15$$ $$\frac{5}{6}=\frac{x}{18}\Rightarrow x=15$$
Choice E
Since the cost of each …
Choice K
$$$2,650\times2=$5,330$$ $$$5,330\div400=$13.25$$
Choice B
If the hour hand of …
Choice G
$$(4\times4)+(3\times4\times\frac{1}{2})$$ $$=16+6$$ $$=22$$
Choice E
Look for a point that …
Choice K
The table contains 11 scores …
Choice E
The range of the scores …
Choice G
$$(85+86+87+88+89+100)\div6=89.167$$ $$(88+80+100+99+98+x)\div6\gt89.167$$ $$(465+x)\div6\gt89.167$$ $$(465+x)\gt535$$ $$x\gt70$$
Choice D
By definition, a linear pair …
Choice F
$$=\frac{(x-11)(x-11)}{(x+11)(x-11)}$$ $$=\frac{(x-11)}{(x+11)}$$
Choice B
$$12x^{2}=28x$$ $$x(12x-28)=0$$ $$x=0$$ $$12x=28$$ $$x=\frac{28}{12}=\frac{7}{3}$$
Choice H
If “all blins are meeps,” …
Choice C
$$\Rightarrow -\frac{5x}{3}\gt10 $$ $$\Rightarrow -5x\gt30 …
Choice J
$$70=7\times10$$ $$110=11\times10$$ $$60=2\times3\times10$$ $$L.C.M=2\times3\times7\times11\times10=4,620$$
Choice D
$$3x+2y=12$$ $$\Rightarrow 2y=-3x+12$$ $$\Rightarrow y=-\frac{3}{2}x+6$$ …
Choice K
$$Slope =\frac{rise}{run} = \frac{(change\ in\ …
Choice C
$$ 2(x + 5) + …
Choice G
$$200(1.5)^{0.5\cdot 4}=200(1.5)^{2}=200\times2.25=450$$
Choice A
Based on the information, the …
Choice J
The function is increasing on …
Choice E
$$\frac{2+x}{2}=5\Rightarrow x=8$$ $$\frac{1+y}{2}=-1\Rightarrow y=-3$$ $$\Rightarrow …
Choice H
l: the length of the …
Choice B
You can set the denominator …
Choice K
$$\frac{135}{6}=22...3$$ $$0.\overline{428571}$$
The third number …
Choice D
There are two things that …
Choice F
$$A:\ (2, 6)$$ $$The\ slope\ …
Choice A
According to the problem, p …
Choice J
$$\frac{80}{\sin24˚}=\frac{x}{\sin110˚}$$ $$x= 80\times\frac{\sin110˚}{\sin24}$$
Choice D
$$\tan=\frac{opposite}{adjacent}$$ $$\tan\theta=\frac{3}{25}$$ $$\theta=\tan^{-1}\frac{3}{25}$$
Choice G
$$C=2\pi r$$ $$2\pi r\times\frac{90˚}{360˚}=2\pi(16)(\frac{1}{4})=8\pi$$
Choice C
$$sin0°=0；sin90°=1；sin180°=0；sin270°=-1；sin360°=0；$$ $$cos0°=1；cos90°=0；cos180°=-1；cos270°=0；cos360°=1；$$
Choice K
An obtuse triangle is a …
Choice A
The amplitude is equal to …
Choice H
The equation for y varying …
Choice B
If this system has infinite …
Choice H
$$Area\ of\ a\ circle:\ \pi …
Choice A
$$\frac{a}{b}=\frac{7}{11}$$ $$\Rightarrow a:b=7:11$$ $$a=7r,\ b=11r$$ …
Choice F
The volume of a rectangular …
Choice C
$$\log_{a}{x}+\log_{a}{y}=\log_{a}{xy}$$ $$\log_{}{(x-2)x}=\log_{}{x^{2}-2x}$$
Choice J
The median score is the …