More Lessons for SAT Math

More Resources for SAT

If \(\frac{1}{2}x + \frac{1}{3}y = 4\), what is the value of 3x + 2y?

4x - y = 3y + 7

x + 8y = 4

Based on the system of equations above, what is the value of the product xy?

A) 3/2

B) 1/4

C) 1/2

D) 11/9

Rearrange the equations in standard form and then use either the substitution or elimination method to solve for x and y. Video Walkthrough

The function f is defined by f(x) = 2x

A) –18

B) –2

C) 2

D) 10

Choose one of the given points. (-4, 0) will be the easiest. Substitute x = -4 into the function to get 0 = 2(–4)

The scatterplot above shows counts of Florida manatees, a type of sea mammal, from 1991 to 2011. Based on the line of best fit to the data shown, which of the following values is closest to the average yearly increase in the number of manatees?

A) 0.75

B) 75

C) 150

D) 750

A researcher places two colonies of bacteria into two petri dishes that each have area 10 square centimeters. After the initial placement of the bacteria (t = 0), the researcher measures and records the area covered by the bacteria in each dish every ten minutes. The data for each dish were fit by a smooth curve, as shown above, where each curve represents the area of a dish covered by bacteria as a function of time, in hours. Which of the following is a correct statement about the data above?

A) At time t = 0, both dishes are 100% covered by bacteria.

B) At time t = 0, bacteria covers 10% of Dish 1 and 20% of Dish 2.

C) At time t = 0, Dish 2 is covered with 50% more bacteria than Dish 1.

D) For the first hour, the area covered in Dish 2 is increasing at a higher average rate than the area covered in Dish 1.

An international bank issues its Traveler credit cards worldwide. When a customer makes a purchase using a Traveler card in a currency different from the customer’s home currency, the bank converts the purchase price at the daily foreign exchange rate and then charges a 4% fee on the converted cost.

Sara lives in the United States, but is on vacation in India. She used her Traveler card for a purchase that cost 602 rupees (Indian currency). The bank posted a charge of $9.88 to her account that included the 4% fee.

Part 1

What foreign exchange rate, in Indian rupees per one U.S. dollar, did the bank use for Sara’s charge? Round your answer to the nearest whole number.

Part 2

A bank in India sells a prepaid credit card worth 7,500 rupees. Sara can buy the prepaid card using dollars at the daily exchange rate with no fee, but she will lose any money left unspent on the prepaid card. What is the least number of the 7,500 rupees on the prepaid card Sara must spend for the prepaid card to be cheaper than charging all her purchases on the Traveler card? Round your answer to the nearest whole number of rupees.

What is one possible solution to the equation \(\frac{{24}}{{x + 1}} - \frac{{12}}{{x - 1}} = 1\)?

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