Digital SAT Math Problems and Solutions (Part


Problem 1 :

x(a + 2) = 12(x + 1)


If the above equation has no solution, what is the value of
a?

Solution :

Problem 2 :

Digital SAT Math Problems and Solutions (Part

The graph shows the
sales of ice cream at a store 
and the average daily
temperatures for a month. Which data point
would be considered an outlier for the graph?

A)  On a day
with an average temperature of 60ºF,
the store makes 
$2,000 in
ice cream sales.

B)  On a day with an average
temperature of 70ºF, the store makes 
$3,000 in ice cream sales.

C)  On a day with an average temperature of 75ºF, the store makes $2,000 in ice cream sales.

D)  On a day with an average temperature of 80ºF, the store makes $1,000 in ice cream sales.

Solution :

Problem 3 :

f(x) = (x – 10)(x + 13)

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

Solution :

Problem 4 :

The function gives a metal ball’s height above the ground f(x), in inches, x seconds after it started moving on a track, where 0 ≤ x ≤ 10. Which of the following is the best interpretation of the vertex of the graph of y = f(x) in the xy-plane?

A)  The metal ball’s minimum height was 3 inches above the ground.

B)  The metal ball’s minimum height was 7 inches above the ground.

C)  The metal ball’s height was 3 inches above the ground when it started moving.

D)  The metal ball’s height was 7 inches above the ground when it started moving.

Solution :

Problem 5 :

In triangle JKL, cos (K) = ²⁴⁄₅₁ and angle J is a right angle. What is the value of cos (L)?

Solution :

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