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Pre-Assessment

Module 5: Systems of Equations & Inequalities

About This Assessment

This pre-assessment helps us understand what you already know about systems of equations and inequalities before you begin the module. Your answers will not be graded - this is simply a baseline measurement.

Time: 5-10 minutes | Questions: 5 | Purpose: Baseline measurement

Question 1

Solve the system using substitution:
y = 2x + 1
y = -x + 7

A. x = 2, y = 5
B. x = 3, y = 4
C. x = 1, y = 3
D. x = 4, y = 3

Question 2

Solve the system using elimination:
2x + 3y = 13
x - 3y = -7

A. x = 1, y = 4
B. x = 2, y = 3
C. x = 3, y = 2
D. x = 4, y = 1

Question 3

What type of system is this?
2x + y = 5
4x + 2y = 10

A. Consistent independent (one solution)
B. Consistent dependent (infinitely many solutions)
C. Inconsistent (no solution)
D. Cannot be determined

Question 4

Which region should be shaded for the inequality y > 2x - 1?

A. Below the line y = 2x - 1
B. Above the line y = 2x - 1
C. To the left of the line y = 2x - 1
D. To the right of the line y = 2x - 1

Question 5

Which point is a solution to this system of inequalities?
y < x + 2
y > -x + 1

A. (0, 0)
B. (2, 3)
C. (1, 1)
D. (-1, 2)

Ready to Submit?

Remember, this is just a baseline assessment. Your answers help us understand your starting point.

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Pre-Assessment

About This Assessment

Solve the system using substitution: y = 2x + 1 y = -x + 7

Solve the system using elimination: 2x + 3y = 13 x - 3y = -7

What type of system is this? 2x + y = 5 4x + 2y = 10

Which region should be shaded for the inequality y > 2x - 1?

Which point is a solution to this system of inequalities? y < x + 2 y > -x + 1

Ready to Submit?

Pre-Assessment Complete!

Solve the system using substitution:
y = 2x + 1
y = -x + 7

Solve the system using elimination:
2x + 3y = 13
x - 3y = -7

What type of system is this?
2x + y = 5
4x + 2y = 10

Which point is a solution to this system of inequalities?
y < x + 2
y > -x + 1