DIGITAL SAT MATH PROBLEMS AND SOLUTIONS
(Part - 21)

Problem 1 :

digitalsatmath12.png

In the figure, line m is parallel to line n, and line t intersects both lines. What is the value of x?

A)  33

B)  57

C)  123

D)  147

Solution :

Problem 2 :

A small business owner budgets $2,200 to purchaseThe owner must purchase candles. The owner must purchase a minimum of 200 candles to maintain the discounted pricing. If the owner pays $4.90 per candle to purchase small candles and $11.60 per candle to purchase large candles, what is the maximum number of large candles the owner can purchase to stay within the budget and maintain the discounted pricing?

Solution :

Problem 3 :

In the linear function f, f(0) = 8 and f(1) = 12. Which equation defines f?

A)  f(x) = 12x + 8

B)  f(x) = 4x

C)  f(x) = 4x + 12

D)  f(x) = 4x + 8

Solution :

Problem 4 :

The function f(w) = 6w2 gives the area of a rectangle, in square feet (ft2), if its rectangle, in square feet (ft2), if its width is w ft and its length is 6 times its width. Which of the following is the best interpretation of f(14) = 1,176?

A)  If the width of the rectangle is 14 ft, then the area of the rectangle is 1,176 ft2.

B)  If the width of the rectangle is 14 ft, then the length of the rectangle is 1,176 ft.

C)  If the width of the rectangle is 1,176 ft, then the length of the rectangle is 14 ft.

D)  If the width of the rectangle is 1,176 ft, then the area of the rectangle is 14 ft2.

Solution :

Problem 5 :

f(x) = 4x2 - 50x + 126

The given equation defines the function f. For what value of x does f(x) reach its minimum?

Solution :

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