Algebra 1 Feb Test Study Guide

What is the solution to the system of equations shown below?

1. Graph and solve the following system of equations:

y = x - 3 y = 3x + 1

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1. Describe the graph of a system of equations with an infinite number of solutions.

• It's the same line - they intersect everywhere

• The lines are parallel - they never intersect

• The lines intersect exactly once

• The lines intersect twice

Describe the solution to the system of equations graphed below:

• One solution

• No solutions

• Infinite Solutions

• Four solutions

1. What is the solution to the following system of equations?

2y = 2x + 12 y = -2x - 3

The school is selling tickets to the musical. On the first day of ticket sales the school sold 16 adult tickets and 5 students tickets for a total of $137. The school took in $155 on the second day by selling 13 adult tickets and 8 student tickets. Write and solve a system of equations to find the price of an adult ticket and the price of a student ticket.

• 16a + 5s = 137

  13a + 8s = 155

• 16a + 5s = 155

  13a + 8s = 137

• 5a + 16s = 137

  8a + 13s = 155

• 5a + 16s = 155

  8a + 13s = 137

Sketch the solution to the system of inequalities:

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Sketch the solution to the system of inequalities:

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Simplify:

Simplify: