DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 12)

Problem 1 :

For the function f, f(0) = 86, and for each increase in x by 1, the value of f (x) decreases by 80%. What is the value of f (2)?

Solution :

Problem 2 :

In the xy-plane, a line with equation 2y = 4.5 intersects a parabola at exactly one point. If the parabola has equation y = -4x² + bx, where b is a positive constant, what is the value of b ?

Solution :

Problem 3 :

The scatterplot shows the relationship between two variables, x and y. A line of best fit for the data is also shown.

At x = 32, which of the following is closest to the y-value predicted by the line of best fit?

A)  0.4

B)  1.5

C)  2.4

D)  3.3

Solution :

Problem 4 :

In a group, 40% of the items are red. Of all the red items in the group, 30% also have stripes. What percentage of the items in the group are red and have stripes?

A)  10%

B)  12%

C)  70%

D)  75%

Solution :

Problem 5 :

The density of a certain type of wood is 353 kilograms per cubic meter. A sample of this type of wood is in the shape of a cube and has a mass of 345 kilograms. To the nearest hundredth of a meter, what is the length of one edge of this sample?

A)  0.98

B)  0.99

C)  1.01

D)  1.02

Solution :

Problem 6 :

The expression 90y⁵ - 54y⁴ is equivalent to ry⁴(15y - 9), where r is a constant. What is the value of r?

Solution :

Problem 7 :

In the xy-plane, the graph of the equation y = -x² + 9x - 100 intersects the line y = c at exactly one point. What is the value of c?

A)  -481/4

B)  -100

C)  -319/4

D)  -9/2

Solution :

Problem 8 :

If x/y = 4 and 24x/ny = 4, what is the value of n?

Solution :

Problem 9 :

A bowl contains 20 ounces of water. When the bowl is uncovered, the amount of water in the bowl decreases by 1 ounce every 4 days. If 9 ounces of water remain in this bowl, for how many days has it been uncovered?

A)  3

B)  7

C)  36

D)  44

Solution :

Problem 10 :

If 9(4 - 3x) + 2 = 8(4 - 3x) + 18, what is the value of 4 - 3x?

A)  -16

B)  -4

C)  4

D)  16

Solution :

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Digital SAT Problems and Solutions (Part - 1)

Digital SAT Problems and Solutions (Part - 2)

Digital SAT Problems and Solutions (Part - 3)

Digital SAT Problems and Solutions (Part - 4)

Digital SAT Problems and Solutions (Part - 5)

Digital SAT Problems and Solutions (Part - 6)

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Digital SAT Problems and Solutions (Part - 9)

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Digital SAT Problems and Solutions (Part - 11)

Digital SAT Problems and Solutions (Part - 12)

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Digital SAT Problems and Solutions (Part - 18)

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