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Unit 3 Test
By Colin Virshup
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Last updated about 1 month ago
8 questions
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Question 1
1.
What is the solution to the following system of linear equations?
\text{Graph 1: } 4x+8y=8
\text{Graph 2: } y=2x-1
Do your best to sketch the two graphs and make sure to CLEARLY label the solution
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Question 2
2.
What is the solution to the system of linear equations? Solve using the Substitution Method.
y=4x-9\\y=\frac{2}{3}x-4
x=_______
y=_______
Make sure to show your work! Partial credit will be given for a correct answer with no work shown!
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Question 3
3.
Which System of linear inequalities is (2,-3) NOT a solution? (Hint: plug in the (x,y) values into the two equations to see if they are true)
Option 3 y\geq-2x+2\\3x\geq-4y
Option 4 \frac{3}{2}y\leq x-1\\2x+2y<2
Option 1 y<3x-4\\y\geq\frac{1}{2}x-6
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Question 4
4.
Graph the following inequality. Be sure to use the correct type of circle to mark your point:
2y\leq4
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Question 5
5.
Graph the following compound inequality. Be sure to use the correct type of circle to mark your point. Extend the number line if you need to
-5-6x\leq 19 AND 9-12x>-135
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Use the following equation to answer problems 6-7:
y\leq-3x+2
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Question 6
6.
Graph linear inequality. You get points for accurate line placement, whether or not the line is dotted/solid, and correct shading.
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10
Question 7
7.
Name one point that lies within the shaded area. This question will be graded by hand
Question 8
8.
Graph the system of linear inequalities, with the correct line types and shading. Additionally, mark and label one possible solution
2y+4x\ge6
2x+y>4
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