Grade 8 Chapter 5 Chapter Test (PA)

Solve the system by graphing: y=−3x−4y=−3x−4 and 3x−y=−23x−y=−2 .

Part B: The solution is (_____, _____).

Solve the system by substitution.

7x + 2y = 6

y = -4x + 3

Solve the system by elimination.

15x - 4y = 10

5x - y = 5

The solution is (_____, _____).

Determine the number of solutions of the system.

4x + 2y = 5

8x + 4y = 10

• The system has no solution.

• The system has one solution.

• The system has infinitely many solutions.

Mathematical Equivalence

ON

The table shows the balances of two bank accounts for 3 months. In what month will the balance of Account A be equal to the balance of Account B?

Mathematical Equivalence

ON

You and your friend each collect rocks and fossils. Your friend collects three times as many rocks and half as many fossils as you. You collect 30 objects. Your friend collects 20 objects. How many rocks and how many fossils do you each collect?

You: ​ (a)   rocks, ​ (b)   fossils

Friend: ​ (c)   rocks, ​ (d)   fossils

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• 2
• 28
• 6
• 14
• 22
• 13
• 5
• 3

The measure of ∠4 is 5 degrees greater than one fourth of the measure of ∠1. Find the measure of each of the four angles formed by the intersecting lines.

m∠1 ​ (a)   ,m∠2 ​ (b)   , m∠3 ​ (c)   , m∠4 ​ (d)  

• 140
• 40
• 180
• 120
• 60
• 145
• 35