10 Hard SAT Math Questions (Part - 14)

Question 1 :

Which of the following is equivalent to the expression above?

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Question 2 :

If x + y = 13, then what is the value of

(x – 5)¹⁰⁰ – (y – 8)¹⁰⁰?

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Question 3 :

nx - 9k = -2x + 3n

In the equation above, n and k are constants. If the equation has no solution, what cannot be the value of n + k?

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Question 4 :

The table gives the volume of two similar cylinders. If the radius of cylinder A is 9 cm, what is the value of s – t?

Volume = πr²h

Surface Area = 2πr² + 2πrh

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Question 5 :

Find in what ratio will the total wages of the workers of a factory be increased or decreased, if there is a decrease in the number of workers in the ratio 15 : 11 and an increase in their wages in the ratio 22 : 25.

A) Increase, 5 : 6

B) Decrease, 6 : 5

C) Increase, 3 : 4

D) Decrease, 4 : 3

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Question 6 :

The value of the expression above can be written in the form a +√b. What is the value of a + b?

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Question 7 :

In the figure above, what is the area of the square (shaded region)?

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Question 8 :

In the given system of equations, k is a constant. If the system has no solution, what is the value of k?

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Question 9 :

In the xy-plane, the graph of the given equation is a circle. Which point lies on this circle?

(x + 7)² + (y - 11)² = 25

A) (-7, 11)

B) (11, -7)

C) (√11 + 7, √14 - 11)

D) (√11 - 7, √14 + 11)

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Question 10 :

The area of a triangle is equal to x² square inches. The base of the triangle is 5 + 2x inches, and the height of the triangle is x − 2 inches. What is the value of x?

A) 2.5

B) 2.7

C) 5

D) 10

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