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51 SAT Functions Practice Questions with Answer Keys | SAT 2022 Math Online Courses AMBiPi

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Welcome to AMBiPi (Amans Maths Blogs). SAT (Scholastic Assessment Test) is a standard test, used for taking admission to undergraduate programs of universities or colleges of United States. SAT is developed and published by the College Board, an organization in United States, administered by the Educational Testing Service. In this article, you will get 51 SAT Functions Practice Questions with Answer Keys | SAT Math Online Courses AMBiPi.

SAT 2022 Functions Practice Questions

SAT Functions Question No 1:

If f(x) = 3x + 5, then find the value of f(2)?

Option A : 11

Option B : 10

Option C : 6

Option D : 12

Show/Hide Answer Key

Option A : 11

SAT Functions Question No 2:

If f(x) = 2x – 5, then find the value of f(2) + f(3)?

Option A : 2

Option B : 0

Option C : 3

Option D : -1

Show/Hide Answer Key

Option B : 0

SAT Functions Question No 3:

If f(x) = 4x – 11, then find the value of f(2) × f(1)?

Option A : –21

Option B : 21

Option C : -20

Option D : -15

Show/Hide Answer Key

Option B : 21

SAT Functions Question No 4:

If f(x) = 2x – 1, then which one of the following is the expression of the function f(2x + 1)?

Option A : f(2x + 1) = 2x – 1

Option B : f(2x + 1) = 4x + 1

Option C : f(2x + 1) = 2x + 1

Option D : f(2x + 1) = 2x – 3

Show/Hide Answer Key

Option B : f(2x + 1) = 4x + 1

SAT Functions Question No 5:

If f(x) = 2x + 3, then which of the following is the expression of the function f(x + 2)?

Option A : f(x + 2) = 2x + 3

Option B : f(x + 2) = 2x + 7

Option C : f(x + 2) = 2x + 5

Option D : f(x + 2) = 2x + 9

Show/Hide Answer Key

Option B : f(x + 2) = 2x + 7

SAT Functions Question No 6:

If f(x) = 2x + 3 and g(x) = x + 5, then which of the following is the expression of f(g(x))?

Option A : f(g(x)) = 3x + 8

Option B : f(g(x)) = 3x + 5

Option C : f(g(x)) = 2x + 13

Option D : f(g(x)) = 2x + 8

Show/Hide Answer Key

Option C : f(g(x)) = 2x + 13

SAT Functions Question No 7:

If f(x) = -(x + 3) and g(x) = 2x + 5, then which of the following is the expression of f(g(x))?

Option A : f(g(x)) = -3x + 8

Option B : f(g(x)) = -2x – 8

Option C : f(g(x)) = -2x + 8

Option D : f(g(x)) = -3x – 8

Show/Hide Answer Key

Option B : f(g(x)) = -2x – 8

SAT Functions Question No 8:

If f(x) = 3x – 2, then which of the following is the expression of the function f(f(x))?

Option A : f(f(x)) = 9x – 8

Option B : f(f(x)) = 9x + 8

Option C : f(f(x)) = 3x – 2

Option D : f(f(x)) = (3x – 2)2

Show/Hide Answer Key

Option A : f(f(x)) = 9x – 8

SAT Functions Question No 9:

If f(x) = 2x – 4, then what is the value of x if f(f(x)) = x?

Option A : 0

Option B : 2

Option C : 4

Option D : None of these

Show/Hide Answer Key

Option C : 4

SAT Functions Question No 10:

If f(x) = 2x + 3, g(x) = x + 2, then what is the value of x if f(g(x)) = 2x + 7?

Option A : 0

Option B : 1

Option C : All real numbers.

Option D : no such y = 2x2 + 3x + 4 value.

Show/Hide Answer Key

Option C : All real numbers

SAT Functions Question No 11:

If f(x) = 10x + 25, then what is the value of x such that f(x) = 35?

Option A : -4

Option B : 1

Option C : 8

Option D : 6

Show/Hide Answer Key

Option B : 1

SAT Functions Question No 12:

If f(x) = 3x + 15, then what is the value of x such that f(x) = 36?

Option A : 9

Option B : -9

Option C : 7

Option D : -7

Show/Hide Answer Key

Option C : 7

SAT Functions Question No 13:

If f(x) = 4x + 5, then what is the value of x such that f(f(x)) = 5?

Option A : -5/4

Option B : 4

Option C : 1

Option D : -2/3

Show/Hide Answer Key

Option A : -5/4

SAT Functions Question No 14:

If f(x) = 2x + 6 and g(x) = 2x + 1, then what is the value of x such that g(f(x)) = 7?

Option A : 5/7

Option B : -3/2

Option C : -5

Option D : -2/7

Show/Hide Answer Key

Option B : -3/2

SAT Functions Question No 15:

If f(x) = 2x + k, then find the value of k such that f(3) = 12?

Option A : 8

Option B : -2

Option C : 6

Option D : 8

Show/Hide Answer Key

Option C : 6

SAT Functions Question No 16:

If f(x) = 3x + 5k, then find the value of k such that f(2) = 10?

Option A : 5/3

Option B : 1/2

Option C : 4/5

Option D : 1/3

Show/Hide Answer Key

Option C : 4/5

SAT Functions Question No 17:

If f(x) = x + k, then find the value of k such that f(f(2)) = 10?

Option A : 4

Option B : 5

Option C : 3

Option D : 0

Show/Hide Answer Key

Option A : 4

SAT Functions Question No 18:

If f(x) = x + 5 and g(x) = 2x + 1, then what is the value of x such that f(g(x)) = 2g(f(x))?

Option A : 2

Option B : –9

Option C : -8

Option D : 7

Show/Hide Answer Key

Option C : -8

SAT Functions Question No 19:

If f(x) = 2x + 5 and g(x) = 2x + 3, then what is the value of x such that f(g(x)) = g(2f(x))?

Option A : -3

Option B : 3

Option C : 1

Option D : -2

Show/Hide Answer Key

Option A : -3

SAT Functions Question No 20:

If f(x) = x2 + 2x + 5, then find the value of f(5)?

Option A : 40

Option B : 50

Option C : 30

Option D : 35

Show/Hide Answer Key

Option A : 40

SAT Functions Question No 21:

If f(x) = 2x2 + 3x + 4, then find the value of f(2)?

Option A : 20

Option B : 18

Option C : 16

Option D : 22

Show/Hide Answer Key

Option B : 18

SAT Functions Question No 22:

What is the sum of the 4 binomials listed below?

x2 + 3, 4x + 6, 3x2 + 1 and 3x – 1

Option A : 4x2 + 7x + 9

Option B : 4x2 + 7x + 11

Option C : 7x2 + 4x + 9

Option D : 4x2 + 4x + 11

Show/Hide Answer Key

Option A : 4x2 + 7x + 9

SAT Functions Question No 23:

Which of the following is equivalent to (3x − 5)(−x + 7)?

Option A : (3x + 5)(x + 7)

Option B : (3x − 5)(x + 7)

Option C : (− 3x + 5)(x − 7)

Option D : (− 3x + 5)(x + 7)

Show/Hide Answer Key

Option C : (− 3x + 5)(x − 7)

SAT Functions Question No 24:

What is the sum of the solutions of the polynomial f(x) = x2 – 7x + 12?

Option A : -7

Option B : 3

Option C : 4

Option D : 7

Show/Hide Answer Key

Option D : 7

SAT Functions Question No 25:

If g(x) = 5x2 – 4x + 2x3, then find the value of g(3)?

Option A : 14

Option B : 48

Option C : 87

Option D : 92

Show/Hide Answer Key

Option C : 87

SAT Functions Question No 26:

In the function h(x) = (5/3)x2 + kx – 4, k is a constant. If h(3) = 26, then find the value of h(-3)? 

Option A : -4

Option B : 1

Option C : 0

Option D : 7

Show/Hide Answer Key

Option A : -4

SAT Functions Question No 27:

If r(x) = 3x2 + 4x – 3, then which of the following expression is equal to r(-4x)?

Option A : -12x2 – 16x – 3

Option B : -12x2 – 8x – 3

Option C : 48x2 – 16x – 3

Option D : 48x2 – 8x – 3

Show/Hide Answer Key

Option C : 48x2 – 16x – 3

SAT Functions Question No 28:

In the function g(x) = 6/x + C, then find the value of C if the point (2, 7) lies on the graph of g(x)?

Option A : 1

Option B : 2

Option C : 3

Option D : 4

Show/Hide Answer Key

Option D : 4

SAT Functions Question No 29:

If f(x) and g(x) are defined as f(x) = (3/4)x – 2 and g(x) = x2 – 2f(x) – 5, then what is the value of g(4)

Option A : -7

Option B : -2

Option C : 6

Option D : 9

Show/Hide Answer Key

Option D : 9

SAT Functions Question No 30:

If g(x + 2) = x2 – 3x + 7, then find the value of g(5)?

Option A : 0

Option B : 3

Option C : 7

Option D : 12

Show/Hide Answer Key

Option C : 7

SAT Functions Question No 31:

If f(x) = x2 + 8x + 3 and f(x) = 51, then find the value of x?

Option A : -8

Option B : -1

Option C : 2

Option D : 4

Show/Hide Answer Key

Option D : 4

SAT Functions Question No 32:

For which value of x is the function shown below undefined?

f(x) = 8/(2x2 + x – 15)

Option A : -4

Option B : 3

Option C : 5/2

Option D : 1/3

Show/Hide Answer Key

Option C : 5/2

SAT Functions Question No 33:

For which value of x is the function shown below undefined?

f(y) = 1/[(y – 3)2 + 5(y – 3) – 14]

Option A : -4

Option B : -2

Option C : 3

Option D : 6

Show/Hide Answer Key

Option A : -4

SAT Functions Question No 34:

If f(x) = x2 + 3x – 8 and g(x) = |7 – x| + 3, then what is the value of g[f(3)]?

Option A : -4

Option B : -1

Option C : 6

Option D : 12

Show/Hide Answer Key

Option C : 6

SAT Functions Question No 35:

If f(3) = -7, g(7) = 6, f(-7) = -4 and g(-4) = 5, then what is the value of g(f(f(3)))

Option A : -4

Option B : 5

Option C : 6

Option D : 7

Show/Hide Answer Key

Option B : 5

SAT Functions Question No 36:

Using the table below, find the value of g[f(-2)]?

Option A : -9

Option B : -6

Option C : 4

Option D : 7

Show/Hide Answer Key

Option D : 7

SAT Functions Question No 37:

If f(x) = x2 + 5 and g(x) = 2x – 3, then which of the following expression is equivalent to f(g(x))?

Option A : 4x2 – 12x + 14

Option B : 2x2 – 6x + 5

Option C : 4x2 – 6x + 14

Option D : 2x2 – 12x + 14

Show/Hide Answer Key

Option A : 4x2 – 12x + 14

SAT Functions Question No 38:

If f(x) = 2x + 3, g(x) = x – 7 and h(x) = 5 – x, then h(f((g(x))) is

Option A : -2x + 16

Option B : 2x – 16

Option C : 2x + 16

Option D : -2x – 16

Show/Hide Answer Key

Option A : -2x + 16

SAT Functions Question No 39:

If f(x) = x – 10, g(x) = x2 – 1 and h(x) = -9, then h(g((f(x))) is

Option A : -9

Option B : (x – 10)2 – 1

Option C : 10

Option D : None of these

Show/Hide Answer Key

Option A : -9

SAT Functions Question No 40:

If f(x) = x + 1, g(x) = x2 – 7, h(x) = 5, which of the following represents f(g(h(x)))?

Option A : x2 + 2x – 6

Option B : 19

Option C : x2 – 6

Option D : –19

Show/Hide Answer Key

Option B : 19

SAT Functions Question No 41:

If f(x) = 3x + 2 & g(x) = x2 – 1. Find f(g(-3))

Option A : 26

Option B : 29

Option C : 45

Option D : 35

Show/Hide Answer Key

Option A : 26

SAT Functions Question No 42:

Given f(x) = x2 + x ; if x is a prime number and f(x) = 2x + 5 ; if x is non- prime, then find f(f(1)).

Option A : 54

Option B : 55

Option C : 56

Option D : 57

Show/Hide Answer Key

Option A : 54

SAT Functions Question No 43:

If , then find the value of R(6).

Option A : 6/5

Option B : 12/11

Option C : 13/5

Option D : 17/7

Show/Hide Answer Key

Option D : 17/7

SAT Functions Question No 44:

If f(x) = 3 – 5x – 2x2, then find the value of f(7 – 4x).

Option A : -32x2 + 130x + 130

Option B : -32x2 – 130x + 130

Option C : -32x2 + 132x – 130

Option D : -32x2 – 132x – 130

Show/Hide Answer Key

Option C : -32x2 + 132x – 130

SAT Functions Question No 45:

Given f(x) = x3 + 1, g(x) = 2x – 5, h(x) = [f(x)]2 – g(x). Find h(-2)

Option A : 57

Option B : 58

Option C : 59

Option D : 56

Show/Hide Answer Key

Option B : 58

SAT Functions Question No 46:

Given g(x) = x3 – x2 + 2 ; if x is an odd number, g(x) = 2x + 5 ; if x is an even number. Find g(g(3))

Option A : 35

Option B : 45

Option C : 56

Option D : 58

Show/Hide Answer Key

Option B : 45

SAT Functions Question No 47:

For the function f graphed in the xy-plane above, if f(−2.5) = k, then what is f(2k) ?

Option A : 0

Option B : 1

Option C : 2

Option D : -2

Show/Hide Answer Key

Option A : 0

SAT Functions Question No 48:

If f(x) = 2x + 4, then what is the value of f(4) + f(6) ?

Option A : f(8)

Option B : f(10)

Option C : f(12)

Option D : f(14)

Show/Hide Answer Key

Option C : f(12)

SAT Functions Question No 49:

If f(x) = x2 − 1, and f(2a) = 35, then what could be the value of a?

Option A : -6

Option B : -3

Option C : 2

Option D : 6

Show/Hide Answer Key

Option B : -3

SAT Functions Question No 50:

Let f(x) = 4x − 3. If f(a) = 9 and f(b) = 5, then what is f(a + b) ? 

Option A : 14

Option B : 15

Option C : 16

Option D : 17

Show/Hide Answer Key

Option D : 17

SAT Functions Question No 51:

If f(x) = 2x − 5, then what is the value of f(2) + f(5) ? 

Option A : 1

Option B : 2

Option C : 3

Option D : 4

Show/Hide Answer Key

Option A : 1

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