SAT Math Quiz

Solve for x in the equation below:

Tags

CCSS.HSA.REI.B.3

A librarian works at a constant pace, simultaneously shelving exactly 200 books in an hour and exactly 20 movies in an hour, and shelving only books and movies. If the librarian works for a total of T hours, which expression shows the total number of items (books and movies) that the librarian shelves during that time?

• 220T

• 20T + 200

• 220T + 440

• 200T – 20

Tags

CCSS.6.EE.B.6

The following equations could all have the constant k equal zero and have a defined solution EXCEPT

Answer explanation

Tags

CCSS.8.EE.C.7A

A new spaceship tourism company wishes to design a spacecraft that will allow its passengers to reenter Earth’s atmosphere comfortably without losing consciousness. The physicians with whom the company consulted advised the company employees that healthy humans can survive up to 9g of force and lose consciousness at 5g of force. Which expression gives the range of g-force values, g, that the company’s engineers should ensure the spacecraft can provide during reentry?

• g < 5

• g > 5

• 5 < g < 9

• g > 9

Answer explanation

(A) Since the company does not want the passengers to lose consciousness, the passengers must not experience g forces equal to or greater than 5. The only possible range of g-values is g < 5, in which all the g-values are less than 5.

A company has four different stores at four different locations throughout a large city. The company gathered data on the initial prices, sale prices, and respective quantities sold of a particular item. Look at how many of the particular item Stores A and B sold at the presale price. What is the arithmetic mean of this set of values to the nearest tenth?

• 8.1

• 9.7

• 10.5

• 12.8

Answer explanation

(D) The arithmetic mean is the average. Solve this problem using a weighted average. In other words, calculate the average by factoring in the relative amounts of the item sold by each store.

Store A sold 350 items for $12.50 each, and Store B sold 260 items for $13.25 each. The total number of items sold is 350 + 260. You can compute the average as follows:

Total Income/Total Number of Items Sold = [(12.50 × 350) + (13.25 × 260)]/(350 + 260) ≈ 12.8

Which of the following equations properly expresses the functional relationship given by this expression?

“Take an input variable and divide it by 4; then subtract 5 from the result.”

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

If an amusement park worker measures three riders as being 48 inches, 56 inches, and 40 inches tall and the margin of error of each of the worker’s measurements is ±2 inches, what is the possible range of the sum of the riders’ actual heights in inches?

• 48 ≤ total height ≤ 144

• 42 ≤ total height ≤ 150

• 138 ≤ total height ≤ 150

• 158 ≤ total height ≤ 180

Answer explanation

(C) Since there are three separate measurements that are each off by up to 2 units, you can determine the range of possible values by adding all the individual measurements together and then including a range of plus or minus 6:

48 + 56 + 40 = 144

144 + 6 = 150

144 – 6 = 138

Choice (C) shows the correct range.

• Minimize d

• Maximize m₁ and m₂

• Minimize m₁ × m₂ and maximize d

• Maximize d, m₁, and m₂

Answer explanation

(C) To minimize the overall gravitational force, the value of the numerator should be as small as possible, and the value of the denominator should be as large as possible. Out of the possible answers, choice (C) would best accomplish this. It would make the value of m₁ x m₂ as small as possible and make the denominator d² as large as possible.

A cube has edges with a length of 2 inches. What is the surface area of the cube in square inches?

Tags

CCSS.8.EE.A.2

The final velocity of a given object is expressed by the following formula:

Final velocity = Initial velocity + Acceleration x Time

If a ball has an initial velocity of 4 m/s and a constant acceleration of 6 m/s², which inequality shows the range of times, T, that will cause the final velocity to have a value of at least 22 m/s?

• T ≥ 3 seconds

• T ≥ 8 seconds

• 3 seconds ≤ T ≤ 5 seconds

• 6 seconds ≤ T ≤ 22 seconds

Answer explanation