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. In this article, you will get * SAT 2022 Math Practice Test 3 Multiple Choice Questions with Answer Keys*.

### SAT 2022 Math Practice Test 3 Math Multiple Choice Questions with Answer Keys

**SAT Practice Test Math Question No 1:**

If -a < b < a, then which of the following must be true?

**Option A** : b > 0

**Option B** : b < 0

**Option C** : |b| < a

**Option D** : -b < -a

**Show/Hide Answer Key**

**Option C : |b| < a**

**SAT Practice Test Math Question No 2:**

Which of the following is equivalent to f(x) = x^{2} – 4x – 21?

**Option A** : f(x) = (x – 2)^{2} + 21

**Option B** : f(x) = (x – 2)^{2} – 25

**Option C** : f(x) = (x – 7)(x – 3)

**Option D** : f(x) = (x + 7)(x – 3)

**Show/Hide Answer Key**

**Option B : f(x) = (x – 2) ^{2} – 25**

**SAT Practice Test Math Question No 3:**

For a polynomial p(x), if p(3) = 1, then which of the following must be true?

**Option A** : (x – 2) is a factor of p(x)

**Option B** : (x – 3) is a factor of p(x)

**Option C** : The remainder when p(x) is divided by (x – 3) is 1.

**Option D** : The remainder when p(x) is divided by (x – 1) is 3.

**Show/Hide Answer Key**

**Option C : The remainder when p(x) is divided by (x – 3) is 1.**

**SAT Practice Test Math Question No 4:**

If x is the average of 3m and 9, y is the average of 5m and 6, and z is the average of 4m and 3, then what is the average of x, y and z in terms of m?

**Option A** : 3m + 6

**Option B** : 3m + 4

**Option C** : 4m + 6

**Option D** : 4m + 4

**Show/Hide Answer Key**

**Option C : 4m + 4**

**SAT Practice Test Math Question No 5:**

The following figure shows the curve of f(x) = x3 – x + 2. If k is a constant number such that f(x) = k has three real solutions, then what is the possible value of k?

**Option A** : 1.5

**Option B** : 2.1

**Option C** : 2.9

**Option D** : 0

**Show/Hide Answer Key**

**Option B : 2.9**

**SAT Practice Test Math Question No 6:**

Maria is reviewing her algebra quiz. She knows that one of the following solutions is incorrect, but does not know which one. Which one is incorrect?

**Option A** : 2x + 5(x – 1) = 9, x = 2

**Option B** : p – 3(p – 5) = 10, p = 2.5

**Option C** : 4y + 3y = 28, y = 4

**Option D** : t + 2t + 3t = 32, t = 8

**Show/Hide Answer Key**

**Option D : t + 2t + 3t = 32, t = 8**

**SAT Practice Test Math Question No 7:**

2x + y = 8 and y = -2x + 5

Which statement correctly describe the graphs of the equations above?

**Option A** : They are two parallel lines.

**Option B** : They are two perpendicular lines.

**Option C** : They are two lines that intersect at (2, 4).

**Option D** : They are two lines that intersect at (-2, 9).

**Show/Hide Answer Key**

**Option A : They are two parallel lines.**

**SAT Practice Test Math Question No 8:**

Which of the following functions corresponds to the graph above?

**Option A** : f(x) = (2/3)|x – 3|

**Option B** : f(x) = |2/3|x – 2

**Option C** : f(x) = |3x/2| – 2

**Option D** : f(x) = |3x/2 – 3|

**Show/Hide Answer Key**

**Option C : f(x) = |3x/2| – 2**

**SAT Practice Test Math Question No 9:**

What is the highest value of the function f(x) = 3 – (x + 1)^{2}?

**Option A** : -3

**Option B** : -1

**Option C** : 1

**Option D** : 3

**Show/Hide Answer Key**

**Option D : 3**

**SAT Practice Test Math Question No 10:**

√(x – y) = x^{x}/27,

which of the following can be a solution to x in the equation above when y = 27?

**Option A** : -2

**Option B** : 0

**Option C** : 1

**Option D** : 3

**Show/Hide Answer Key**

**Option D : 3**