Welcome to AMBiPi (Amans Maths Blogs). In this article, you will get SAT 2022 Test Prep | System of Linear Equations | SAT Online Classes AMBiPi.
SAT 2022 Math Multiple Choice Practice Questions
System of Linear Equations Multiple Choice Questions with Answer Keys
SAT Test Prep Question No 1:
z + w – 3 = k and
6z – 10w = 8
Consider the system of equations above, where k is a constant. For which value of k are there infinitely many (w, z) solutions?
Option A : -19/5
Option B : 5
Option C : 8
Option D : None of these
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Option D : none of these
SAT Test Prep Question No 2:
-5x – 4y = 2a and
4x – 5y = 2
Which of the following choices of a will result in a system of linear equations with exactly one solution?
Option A : a can be any number
Option B : a can be any number except 0.8
Option C : a can be any number except -0.8
Option D : a = 0.8
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Option A : a can be any number
SAT Test Prep Question No 3:
In 1.70p – 0.34q = 0 and
0.17(q + 1) – 0.85(p – 1) = 0
Consider the system of equations above. How many (p, q) solutions does this system have?
Option A : 0
Option B : 1
Option C : Infinite
Option D : none of these
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Option A : 0
SAT Test Prep Question No 4:
3s + 2t – 3 = c and
-7s – 5t = 4
Consider the system of equations above, where c is a constant. For which value of c is there exactly one (s, t) solution where s=−1?
Option A : -4.8
Option B : 4 4/7
Option C : 18
Option D : None of these
Show/Hide Answer Key
Option A : -4.8
SAT Test Prep Question No 5:
0.7a − 0.8b = −0.1 and
a− 1.4 = −6(b−0.1)
Consider the system of equations above. If (a, b) is the solution to the system, then what is the value of the sum of a and b?
Option A : -0.5
Option B : -0.1
Option C : 0.1
Option D : 0.5
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Option D : 0.5
SAT Test Prep Question No 6:
6(1 − a) = 3(a − b) + 1 and
4(b − 2) = 3a
Consider the system of equations above. If (a, b) is the solution to the system, then what is the value of a − b?
Option A : -1276/243
Option B : 29/9
Option C : 44/27
Option D : 1276/243
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Option D : 1276/243
SAT Test Prep Question No 7:
−4a − 5b − 4 = −21
−2b + 5a − 11 = −9
Consider the system of equations above. What is the value of −2a−b?
Option A : -5
Option B : -1/3
Option C : 1/3
Option D : 5
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Option A : -5
SAT Test Prep Question No 8:
2x − 1 = y
3x − 1 = y
Consider the system of equations above. Which of the following statements about this system is true?
Option A : There is only one (x, y) solution and y is positive
Option B : There is only one (x, y) solution and y is negative
Option C : There are infinitely many (x, y) solutions.
Option D : There are no (x, y) solutions.
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Option B : There is only one (x, y) solution and y is negative.
SAT Test Prep Question No 9:
44(j + 2k) = 12
22k = −11j + 16
Consider the system of equations above. How many solutions (j,k) does this system have?
Option A : 0
Option B : Exactly 1
Option C : Exactly 2
Option D : Infinite many
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Option A : 0
SAT Test Prep Question No 10:
5x − 2y = 6
10x − 4y = c
Which of the following choices of c will result in a system of linear equations with no solutions?
Option A : c = 12
Option B : c can be any number other than -12
Option C : c can be any number other than 12
Option D : c can be any number
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Option C: c can be any number other than 12
SAT Test Prep Question No 11:
−x = −6y − 7
x − 6y = k
Consider the system of equations above. Which of the following choices of k will result in a system of equations with infinitely many solutions?
Option A : Any number
Option B : Any number except 12
Option C : 7
Option D : -7
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Option C : 7
SAT Test Prep Question No 12:
6p/5 + kq = 4/5 and
q = 3p/5 – 2/5
Consider the system of equations above, where k is a constant. For which value of k is there no (p, q) solutions?
Option A : -2
Option B : 0
Option C : 2
Option D : none of these
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Option D : none of these
SAT Test Prep Question No 13:
Consider the system of equations above, where a is a constant. For which value of a is (x, y) = (4, 1) a solution?
Option A : -34/27
Option B : -1/27
Option C : 34/9
Option D : none of these
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Option D : none of these
SAT Test Prep Question No 14:
Consider the system of equations above. Which of the following statements about this system is true?
Option A : There is only one (x, y) solution and x+y is positive
Option B : There is only one (x, y) solution and x+y is negative
Option C : There are infinitely many (x, y) solutions
Option D : There are no (x, y) solutions.
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Option C : There are infinitely many (x, y) solutions.
SAT Test Prep Question No 15:
Consider the system of equations above. Which of the following statements is true?
Option A : There is only one (x, y) solution and x+y is positive
Option B : There is only one (x, y) solution and x+y is negative
Option C : There are infinitely many solutions
Option D : There are no solutions.
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Option B : There is only one (x, y) soution and x+y is negative.
SAT 2022 Math Grid-in Practice Questions
System of Linear Equations Grid-in Choice Questions with Answer Keys
SAT Test Prep Question No 16:
−11y = 6(z + 1) − 13y
4y − 24 = c(z − 1)
For what value of c does the above system of linear equations in the variables y and z have infinitely many solutions?
Show/Hide Answer Key
Correct Answer : 12
SAT Test Prep Question No 17:
a(y – 1/3) + x/2 = 0 and 3x − y − 1 = 0
Consider the system of equations above, where a is a constant. For which value of a are there infinitely many (x, y) solutions?
Show/Hide Answer Key
Correct Answer : -3/2
SAT Test Prep Question No 18:
ay = 2x + 1 and y = 2x + 2
Consider the system of equations above, where a is a constant. Find the value of for which (x, y) has no solutions?
Show/Hide Answer Key
Correct Answer : 1
SAT Test Prep Question No 19:
5.2s + 0.1r = 0 and 0.7(r + 0.2) + 3.2 = -3s
Consider the system of equations above, if (r, s) is the solution to system, then what is the value of (r + s)? Round the answer to the nearest tenth.
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Correct Answer : -5.1
SAT Test Prep Question No 20:
-6.4x = 4y + 2.1 and ky = 3.2x = 5.8 For what value of k does the above system, then what is the value of (r + s)? Round the answer to the nearest tenth.
Show/Hide Answer Key
Correct Answer : -5.1
