Welcome to **AMBiPi (Amans Maths Blogs)**. In this article, you will get * SAT 2022 Math Practice Solving Linear Equations and Inequalities Questions with Answer Keys*.

Contents

### SAT 2022 Math Multiple Choice Practice Questions

#### Solving Linear Equations and Inequalities Multiple Choice Questions with Answer Keys

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

For the inequality 12s ≤ 4(s − 2), which of the following best describes the solutions to this inequality?

**Option A** : s ≤ -1

**Option B** : s ≤ -2/3

**Option C** : s ≥ -1/4

**Option D** : s ≥ 8

**Show/Hide Answer Key**

**Option A : s ≤ -1**

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

For the inequality 4c + 5 < 4c + 3, which of the following best describes the solutions to this inequality?

**Option A** : all real numbers

**Option B** : c < 1/2

**Option C** : c > 1/4

**Option D** : No Solution

**Show/Hide Answer Key**

**Option A : No Solution**

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

If 9 ≥ 4x + 1, which inequality represents the possible range of values of 12x + 3?

**Option A** : 12x + 3 ≥ 17

**Option B** : 12x + 3 ≥ 17

**Option C** : 12x + 3 ≥ 17

**Option D** : 12x + 3 ≥ 17

**Show/Hide Answer Key**

**Option D : 12x + 3 ≤ 27**

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

6 = −s + 77

Given the above equation, what is the value of 1 + 5(77 − s)?

**Option A** : -739

**Option B** : -29

**Option C** : 31

**Option D** : 741

**Show/Hide Answer Key**

**Option C : 31**

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

If 16 − 7w = w + 14 − 6w, what is the value of w − 1?

**Option A** : -2

**Option B** : 0

**Option C** : 1

**Option D** : -3

**Show/Hide Answer Key**

**Option B : 0**

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

If 1/2 + 2s/5 = s – 3/4, then the value of s is

**Option A** : 3/4

**Option B** : 25/12

**Option C** : -25/12

**Option D** : -3/4

**Show/Hide Answer Key**

**Option B : 25/12**

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

4 + 5m = 4m + 1 + m

Which of the following best describes the solution set to the equation shown above?

**Option A** : The equation has exactly one solution, m=0.

**Option B** : The equation has exactly one solution, m=1.

**Option C** : The equation has no solutions.

**Option D** : The equation has infinitely many solutions.

**Show/Hide Answer Key**

**Option C : The equation has no solutions.**

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

If 15bx − 20 > 35, where b is a positive constant, what is the possible range of values of 4−3bx?

**Option A** : Any value less than −7

**Option B** : Any value greater than −7

**Option C** : Any value less than -11/3bx

**Option D** : Any value greater than 11/3bx

**Show/Hide Answer Key**

**Option A : Any value less than −7**

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

2(4p + 1)/5 ≤ (3 + 12p)/4

Which of the following best describes the solutions to the inequality shown above?

**Option A** : p ≤ -13/7

**Option B** : p ≥ -13/7

**Option C** : p ≤ -1/4

**Option D** : p ≥ -1/4

**Show/Hide Answer Key**

**Option D : p ≥ -1/4**

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

−4 + bx = 2x + 3(x + 1)

In the equation shown above, b is a constant. For what value of b does the equation have no solutions?

**Option A** : 3

**Option B** : 4

**Option C** : 5

**Option D** : 6

**Show/Hide Answer Key**

**Option C : 5**

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

3q ≤ 9q/2 – 18.

Which of the following best describes the solutions to the inequality shown above?

**Option A** : q ≤ 3

**Option B** : q ≥ 3

**Option C** : q ≤ 6

**Option D** : q ≥ 6

**Show/Hide Answer Key**

**Option D : q ≥ 6**

**SAT Math Practice Test Question No 11:**

If 9 < 15mx − 8 < 27, where m is a positive constant, what is the possible range of values of 8/3 − 5mx?

**Option A** : Any value greater than −3 or less than −9

**Option B** : Any value greater than −9 and less than −3

**Option C** : Any value greater than -7/3m or less than -17/15m

**Option D** : Any value greater than -17/15m or less than -7/3m

**Show/Hide Answer Key**

**Option B : Any value greater than −9 and less than −3**

**SAT Math Practice Test Question No 12:**

−3(x + 3) − 8 = 6 − 4x

Which of the following is the solution to the equation shown above?

**Option A** : x = 17

**Option B** : x = -23

**Option C** : x = 23

**Option D** : x = 11

**Show/Hide Answer Key**

**Option C : x = 23**

**SAT Math Practice Test Question No 13:**

3(t + 1) = -1/2 – 5t

Which of the following best describes the solution set to the equation shown above?

**Option A** : The equation has no solutions

**Option B** : The equation has exactly one solution, t = -7/16

**Option C** : The equation has exactly one solution, t = -7/4

**Option D** : The equation has infinitely many solutions.

**Show/Hide Answer Key**

**Option B : The equation has exactly one solution, t = -7/16**

**SAT Math Practice Test Question No 14:**

If 5 < 2x + 3 < 11, what is the possible range of values of −4x − 6?

**Option A** : Any value greater than−10 or less than −22

**Option B** : Any value greater than −22 and less than −10

**Option C** : Any value greater than 1 and less than 4

**Option D** : Any value greater than 4 or less than 1

**Show/Hide Answer Key**

**Option B : Any value greater than −22 and less than −10**

**SAT Math Practice Test Question No 15:**

4 – z/3 = -7z + 6

Which of the following is the solution to the equation shown above?

**Option A** : z = 3/10

**Option B** : z = -3/10

**Option C** : z = 20/3

**Option D** : z = 20/6

**Show/Hide Answer Key**

**Option A : z = 3/10**

### SAT 2022 Math Grid-in Practice Questions

#### Solving Linear Equations and Inequalities Grid-in Choice Questions with Answer Keys

**SAT Math Practice Test Question No 16:**

17 + 27 = -7w

Given that the above equation, what is the value of 10(-21w + 1)?

**Show/Hide Answer Key**

**Correct Answer : 1330**

**SAT Math Practice Test Question No 17:**

4(80 + n) = (3k)n

In the equation above, k is a constant. For what value of k are there no solutions to the equation?

**Show/Hide Answer Key**

**Correct Answer : 4/3**

**SAT Math Practice Test Question No 18:**

If 3(r + 300) = 6, then what is the value of r + 300 − 2?

**Show/Hide Answer Key**

**Correct Answer : 0**

**SAT Math Practice Test Question No 19:**

If −k + 78 = 98 − 20, then what is the value of k?

**Show/Hide Answer Key**

**Correct Answer : 0**

**SAT Math Practice Test Question No 20:**

−p + 60 = −ℎ + 10000

In the equation above, h is a constant. If p = 10 is a solution to the equation, what is the value of h?

**Show/Hide Answer Key**

**Correct Answer : 9950**