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If a < b, which of the following must be true?


Zip cola is sold in bottles of four different sizes at the prices shown in the table shown above. What is the minimum amount one could spend in order to buy at least 65 ounces of Zip cola?
x, y, and z are negative numbers.

Quantity A

x+y+z

Quantity B

$$\frac{1}{x+y+z}$$


1 foot=12 inches

1 yard=3 feet

1 mile=5,280 feet

Approximately how many cubic yards of asphalt are needed to cover a level road that is $$\frac{1}{2}$$ mile long and 24 feet wide with a layer of asphalt that is 4 inches thick?
In the xy-plane, line k has a positive slope and intersects the line y=4-x at a point with x-coordinate 3. Which of the following values could be the y-intercept of k?

Indicate all such values.
Many of the major developments in fundamental physics of the past century arose from (i)____________ existing ideas. For example, the (ii)____________ Maxwell's equations and Galilean invariance led Einstein to propose the special theory of relativity. Similarly, the failure to reconcile special relativity with Newtonian gravity led him to develop the general theory of relativity.
There are 6 colors available for painting a house. A combination for painting a house consists of one of the 6 colors for the trim of the house and one different color from the 6 colors for the rest of the house. How many different combinations for painting a house are available?


The graphs above show the distribution of men, women, and children who visited a certain zoo in 2008 and 2009. Which of the following statements must be true?

Indicate all such statements.
Some of the characters and themes depicted on the painted glass vessels found at Begram point toward an Egyptian provenance, but Egypt was not the ____________, and perhaps not even the principal place of manufacture.
$$\frac{2y-5}{6}$$ - $$\frac{y-7}{3}$$=
A circle is inscribed in a square. If a point is to be chosen at random from the square region, what is the probability that the point chosen will lie inside the circular region?
How many of the 900 positive 3-digit integers have a units digit of 2 and are the square of an integer?
Each of the people who took a data entry test made 0, 1, 2, 3, or 4 errors. Of those people, 65 percent made fewer than 4 errors, 46 percent made fewer than 3 errors, and 24 percent made fewer than 2 errors.

Quantity A

The percent of the people who took the data entry and made exactly 2 errors

Quantity B

20%




$$h^{2}>1$$

Quantity A

h

Quantity B

$$\frac{1}{h}$$




The variables x and y are related by a linear equation. If y increases by 4 whenever x increases by 1, which of the following equations could represent the relationship between x and y?

Indicate all such equations.
The integer k is the product of four different prime numbers. If k divided by 22 is a multiple of 13, which of the following could be equal to k divided by 11?


The boxplots above summarize the values for two data sets, A and B. Based on the boxplots, which of the following statements must be true?
One cup of a certain type of yogurt contains 9 grams of protein, which is equal to x percent of the recommended daily consumption of protein. How many grams is the recommended daily consumption of protein in terms of x?
A box contains small toys, and each toy is worth either $3 or $6. If a toy is selected at random from the box, the probability that the selected toy will be worth $6 is 0.25. Which of the following could be the total value of all the toys in the box?

Indicate all such values.
When the positive integer n is divided by 7, the remainder is 2.

Quantity A

The remainder when 2n+1 is divided by 7

Quantity B

5


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