DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 83)

Problem 1 :

y = 4x² + 15

y = mx + 6

In the above system, the parabola and line intersect at exactly one point. What is the slope of the line m?

A)  6

B)  9

C)  12

D)  15

Solution :

Problem 2 :

An hourglass timer is filled with 1200 tiny beads that flow from the top container to the bottom container at a constant rate. It took one hour, when all the beads have reached the bottom container. How many minutes did it take, when 520 beads have reached the bottom cotainer?

Solution :

Problem 3 :

Jane is performing an experiment in which she combines potassium and water to produce potassium hydroxide. The amount of water w, in milliliters needed to create a chemical reaction between potassium and water can be modeled by the equation w = 1.6a + 10, where a is the amount of potassium hydroxide, in grams, Jane wishes to produce from the reaction. According to the model, how much more potassium hydroxide, in grams is produced for each additional milliliter of water used in the reaction?

A)  0.6

B)  0.625

C)  0.875

D)  1.6

Solution :

Problem 4 :

Evolutionary biologists measure a species’ effective population N_e to assess its health and evolutionary patterns. The formula above relates N_e to N_f, the number of females capables of breeding, and N_m, the number of males capable of breeding. Which of the following expresses the number of females capable of breeding in terms of the effective population and the number of males capable of breeding?

Solution :

Problem 5 :

Tammy picks three sides of a rectangle and adds their lengths to get 140 cm. Gladys picks three sides of the same rectangle and adds their lengths to get 100 cm. What is the perimeter of the rectangle in cm?

A)  120

B)  140

C)  150

D)  160

Solution :

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