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Algebra L4-2 & L4-3 Quiz v1

By Sam Schneider
Last updated about 1 year ago
7 Questions

Nota Bene

This quiz asks you to use algebraic (equation-based) methods to find the solutions to systems of linear equations.

You Must
  • Use Substitution or Elimination to solve each problem.
  • Show your work, and ensure you detail enough steps to prove you solved the problem algebraically
  • Either explain why the solution set is infinite or empty, or produce the solution set.
You May
  • In a pinch, you can graph a system of equations by hand to verify your answer or help you answer.
You Must Not
  • Use any computer-assisted graphing, calculators, Desmos, etc.

Use substitution or elimination to find the solution to the system of equations.

y=4x+2
y=-\frac{1}{2}x-1

Use substitution or elimination to find the solution to the system of equations.

2x-y=17
-x+5y=10

Use substitution or elimination to find the solution to the system of equations.

y=\frac{7}{9}x+\frac{25}{9}
y=\frac{3}{5}x+\frac{13}{5}

Use substitution or elimination to find the solution to the system of equations.

2x+y=15
3x-y=-10

Use substitution or elimination to find the solution to the system of equations.

5x-2y=20
3x+y=12
y=x-4

Use substitution or elimination to find the solution to the system of equations.

y=-\frac{1}{2}x+3
2x+4y=7

Use substitution or elimination to find the solution to the system of equations.

y+2=\frac{9}{2}(x-10)
-9x+2y=-94