SAT Math: Practice Questions-Heart of algebra-Solving systems of linear equations

SAT MathsSAT EnglishSAT Practice Tests -(Full -Length)

SAT Math Practice Questions-All Topics

Question

Sanjay works as a teacher’s assistant for \($\)20 per hour and tutors privately for \($\)25 per hour. Last week, he made at least \($\)100 working \(x\) hours as a teacher’s assistant and \(y\) hours as a private tutor. Which of the following inequalities models this situation?

  1. \(4x+5y \geq 25\)
  2. \(4x+5y \geq 20\)
  3. \(5x+4y \geq 25\)
  4. \(5x+4y \geq 20\)
Answer/Explanation

Ans: B

Question

\(nx+3y=1\) 
\(12x-6y=0\)

In the system of equations above, \(n\) is a constant. If the system has no solution, what is the value of \(n\)  ? 

  1. -9
  2. -6
  3. 3
  4. 6
Answer/Explanation

Ans: B

Question

\(3x+2y=8\)
\(4x-3y=5\)

The solution to the given system of equations is \((xy)\). What is the value of \(x\)?

Answer/Explanation

Ans: 2

Question

3\(x\)+4\(y\)=35

2\(x\)+2\(y\)=15

The solution to the given system of equations is (\(x\),\(y\)). What is the value of \(x\)+2\(y\) ?

Answer/Explanation

Ans: 20

Question

4\(x\)+\(y\)=7

2\(x\)-7\(y\)=1

If (\(x\),\(y\)) is the solution of the given system of equations, what is the value of \(x\)?

Answer/Explanation

Ans: 5/3, 1.66, 1.67

Question

\(\frac{1}{2}x+5=kx+7\)

In the given equation, \(k\) is a constant. The equation has no solution. What is the value of \(k\)?

Answer/Explanation

Ans: 1/2, .5

Question

\(x\)+2\(y\)=10

2\(x\)-\(y\)=5

The solution to the given system of equations is (\(x\), \(y\)). What is the value of 3\(x\) + \(y\) ?

  1. 5
  2. 7
  3. 13
  4. 15
Answer/Explanation

Ans: D

Question

How many solutions does the equation \(|x+7|=-4\) have?

  1. Zero
  2. Exactly one
  3. Exactly two
  4. More than two
Answer/Explanation

Ans: A

More SAT Math Practice Questions.............
Scroll to Top