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# SAT 2022 Math Practice Solving Linear Equations and Inequalities Questions with Answer Keys

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.

### 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

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

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

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

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

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

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.

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

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

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

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

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

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

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.

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

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

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)?

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?

SAT Math Practice Test Question No 18:

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

SAT Math Practice Test Question No 19:

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