SAT Math Jeopardy

Exponents

100

Tell me one more way to express a^2/6 that is not a^1/3

Cubed root of a

200

If M = 3x² + 9x - 4  and N = 5x² - 12, what is 2(M - N)?

- 4x² + 18x + 16

300

(5x^{4 -} 1/4 x³ + 3x) / (x/2)  What's the result of the division?

10x³ - (1/2)x² + 6

400

Given the polynomial 6x⁴ + 2x² - 8x - c where c is a constant, for what value of c will (6x⁴ + 2x² - 8x -c)/(x +2) have no remainder?

120

500

18 -  ((3x)^.5 / 2) = 15

What value of x satisfies the equation above?

12

Linear Equations

100

If .2x + 1.8 = 3 - .6x, what is the value of x

1.5

200

See figure #2, calc section. List the correct orders of the lines in the figure according to their slopes, from least to greatest.

S U R T

300

A botanist collects and models some data and is able to determine that the number of germinated seeds of a certain plant is linearly correlated to the amount of rainfall during the previous month, according to the equation s = 28.5r + 83. In this equation, s is the number of seeds germinated and r is the amount of rainfall in inches. In a certain geographic region that the botanist is studying, 197 seeds germinated. Approx. how many inches of rainfall did that area receive during the previous month?

4

400

Car manufacturers have started producing hybrid vehicles which run on both electricity and gas, resulting in a significantly higher gas mileage. Suppose the odometer of a hybrid car, which shows how many miles the car has traveled, reads 4,386 miles. If the car averages 48 miles to the gallon of gas and currently has 12 gallons in the tank, what should the odometer reading be when the tank is empty?

4962

500

Johanna picked 3 pounds of strawberries at a "pick-your-own" patch. At this patch, the cost is $1.50 for the pail and $3.99 per pound of strawberries picked. If a linear equation is created to represent the situation and written in the form y = mx + b, which piece of the equation would the value 13.47 in this scenario most likely represent?

y

Inequalities

100

Calc Q3 Test 2; See figure. Which of the following is a solution to the system of inequalities shown in the figure above?

A) (-5, 2)    B) (-2, 5)   C) (2, 5)    or  D) (5, 2)

C) (2,5)

200

Calc Q 8 Test 2; See figure: Which inequality symbol would make the above statement true?

>

300

A publishing company ships books to schools, some of which are hardcover textbooks and some of which are paperback workbooks. Each shipping box can hold a max of 20 textbooks or 64 workbooks. Each textbook is 192 cubic inches of space and each workbook is 60. One box holds a max of 3,840 cubic inches. The shipping dept. is packing a box containing both types of books. What are the three inequalities you should make in order to solve this problem?

t =< 20       w =< 64        192t + 60w =< 3,840

400

Rashad volunteers at a charity that helps feed the homeless. He collects donations and then uses the money to buy food for care packages. This week, he collected $145. Each care package will include canned veggies and bags of rice in the ratio 3:1. The cans cost $.89 and the bags of rice cost $3.49 each. Using the given ratio, what is the max number of complete veggie/rice care packages Rashad can make?

23

500

NC Q12; See figure. Which of the following systems of inequalities could be represented by the graph shown above?

D) x + 3y => 12

    x + 3y =< -6

Statistics & Probability

100

Calc Q21 Test 2 See Figure. The Lake Pontchartrain Causeway Bridge in Louisiana is the longest bridge in the US at 23.83 miles long. The histogram pictured shows the distribution of the lengths, in miles, of 28 of the longest bridges in the US, including the Lake Pontchartrain Causeway Bridge. Which of these could be the median length of the 28 bridges represented in the histogram?

A) 5.9    B) 7.9    C) 9.2     D) 9.9

C) 7.9

200

See figure; Calc Q14 and 15 Test 2; Based on the data, if 45 percent of the apple trees are not hybrids, how many apple trees are hybrids?

132

300

Same figure; Q14 and 15; The scientist wants to study the orange trees to check for hybrid vigor. If she chooses one orange tree at random, what's the probability that it will be a hybrid?

135/194

400

Figure from Q37, 38 Test 2. See figure and information;

If a person weighs 82 kg, how many grams of snapper can he safely consume per day? Round your answer to the nearest gram.

50

500

Same figure from Calc Q37 and 38; See figure and info. Suppose in a week, a person regularly eats one portion of each type of the fish shown in the bar graph, except the fish with the highest mercury content. What is this person's average daily mercury consumption, in micrograms, assuming a portion size of 100 grams? Round your answer to the nearest microgram.

23

Random

100

See figure; Q1 calc;  The Florida Department of Wildlife caught and tagged 10 adult female alligators as part of an effort to protect this endangered species. The wildlife biologists took various measurements and readings related to body size and health. The total body length is plotted against the tail length in the scatterplot shown above, along with the line of best fit. What is an equation that models the data?

y = .5 x

200

If g(x) = 4x² - x + 5, then what does g(-2x) equal?

16x² + 2x + 5

300

See figure; No calc Q7; Which of the following equations could represent the graph in the figure shown above?

A) y = x² - 4x - 4     B) y = x² + 4x - 4

B

400

See figure; no calc Q19; The figure show a fish tank with sand in the bottom. If the water level is to be 3 inches below the top, how many cubic inches of water are needed to fill the tank?

3600

500

If h is a function defined over the set of all real numbers and h(x-4) = 6x² + 2x + 10, then what is h(x)? 

h(x) = 6x² + 50x + 114