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$$1+2x \gt -3$$

Quantity A

$$x$$

Quantity B

$$-1.999$$


A 3-foot by 3-foot-square closet floor is to be covered completely using a combination of 1-foot by 1-foot square tiles and 1-foot by 2-foot rectangular tiles.

Quantity A

The number of 1-foot by 1-foot square tiles used

Quantity B

The number of 1-foot by 2-foot rectangular tiles used



Seventy-five boxes of light bulbs were examined during a quality control check. The number of defective light bulbs per box and the corresponding frequency are given in the table.

Quantity A

The average (arithmetic mean) number of defective light bulbs per box for the 75 boxes

Quantity B

The median number of defective light bulbs per box for the 75 boxes


$$b_1, b_2, b_3,$$………$$b_n,$$……..
In the sequence shown, $$b_1=1$$ and for all integers $$n \geq 2$$.
$$b_n=2b_{n-1} + r$$.
where $$r$$ is a positive integer. The sum of $$b_1, b_2,$$ and $$b_3$$ is 35.

Quantity A

$$r$$

Quantity B

$$7$$


$$0 \lt a \lt b \lt c \lt d \lt e$$

Quantity A

The median of $$a, b, c, d$$, and $$e$$

Quantity B

$$\frac{a+b+c+d+e}{5}$$


For which of the nine age-groups is the ratio of the average number of prescriptions per female to the average number of prescriptions per male greatest?
In the 65-74 age-group, the ratio of the number of males to the number of females is 2 to 3. What is the average number of prescriptions per person in that age-group?
$$n \neq 0$$ and $$n \neq -1$$

Quantity A

$$\frac{n+n^2}{n^3+n^4}$$

Quantity B

$$\frac{1}{n^2}$$


A rectangular solid has length $$l$$, width $$w$$, and height $$h$$, where $$l + w + h = 24$$.
Which of the following statements individually provide(s) sufficient additional information to determine the surface area of the solid?
Indicate all such statements.
Line $$l$$ passes through the center of circle $$R$$ and intersects circle $$R$$ at points $$P$$ and $$Q$$. Line $$k$$ is perpendicular to line $$l$$ and intersects circle $$R$$ at points $$M$$ and $$N$$.

Quantity A

The length of arc $$MPN$$

Quantity B

The length of arc $$MQN$$



A plot of land is to be divided into three smaller lots, as shown in the figure above. If the total length of the sides of the three lots along Main Street is 360 feet, what is the length, in feet, of the side of lot $$A$$ that is along Main Street?
If $$y=x^2-2x+3$$, for what values of $$x$$ is the value of $$y$$ positive?
$$x^2+x-6=0$$

Quantity A

\frac{1}{1+3^x}

Quantity B

\frac{1}{1+5^x}


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