Bluebook SAT Test Digital SAT Hard Math 2

Question 1

The sum of three consecutive even integers is 78. What is the largest of the three integers?

Accepted Answer

28

Answer

26

Answer

24

Answer

30

Question 2

If x² - y² = 24 and x - y = 4, what is the value of x + y?

Accepted Answer

6

Answer

3

Answer

8

Answer

12

Question 3

A line passes through points (a, 3) and (4, a+1) and has a slope of 2. What is the value of a?

Accepted Answer

1

Answer

3

Answer

5

Answer

-1

Question 4

The graph of y = ax² + bx + c has vertex at (2, -5) and passes through (0, 3). What is the value of a?

Accepted Answer

2

Answer

-2

Answer

3

Answer

5

Question 5

If (x - 2)(x + 5) = x² + kx - 10, what is the value of k?

Accepted Answer

3

Answer

-3

Answer

7

Answer

-7

Question 6

A rectangle has a perimeter of 56 feet. If the length is 3 more than twice the width, what is the area of the rectangle?

Accepted Answer

187 square feet

Answer

192 square feet

Answer

168 square feet

Answer

154 square feet

Question 7

For what positive integer value of n is (n! + 1)/(n + 1) an integer? (n! means n factorial)

Accepted Answer

4

Answer

3

Answer

5

Answer

6

Question 8

In the xy-plane, the parabola y = (x-3)² intersects the line y = x + 3 at two points. What is the distance between these two points?

Accepted Answer

3√2

Answer

√10

Answer

5√2

Answer

2√5