Graphing Linear Inequalities and Systems of Inequalities: Algebra 1 Math Quiz – PDF Download
Take this ten-question quiz to check your skills with linear inequalities, solid and dashed lines, shading, and systems of inequalities. Each question has exactly one correct answer. Read each explanation, especially for the questions you miss.
Algebra 1Common Core: A-REI.D.12 · A-CED.A.3
🎯 Graphing Linear Inequalities and Systems of Inequalities – Algebra 1 math quiz
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Question 1
Which inequality is graphed?A shaded half-plane.
Ay < x + 1
By ≥ x + 1
Cy > x − 1
Dy > x + 1
Question 2
Which point is a solution of \(y\le 2x-1\)?
A(0, 0)
B(2, 4)
C(1, 2)
D(1, 1)
Question 3
Which describes the graph of \(x+y<5\)?
ADashed boundary, shaded toward the origin
BSolid boundary, shaded toward the origin
CDashed boundary, shaded away from the origin
DSolid boundary, shaded away from the origin
Question 4
Solve \(-2y>8x-6\) for \(y\).
Ay > −4x + 3
By < 4x − 3
Cy < −4x + 3
Dy > 4x − 3
Question 5
Which point is a solution of the system whose graph is shown?The overlap is the solution region.
A(4, 1)
B(2, 2)
C(1, −1)
D(3, 3)
Question 6
Which statement is true about \(y>x+2\) and \(y<x-3\)?
AEvery point above both lines works
BNo point satisfies both inequalities
COnly the crossing point works
DEvery point between the lines works
Question 7
A student buys \(x\) folders at \(\$2\) and \(y\) pens at \(\$3\) with at most \(\$30\). Which inequality models the cost?
A2x + 3y ≥ 30
B2x + 3y < 30
C2x + 3y ≤ 30
D3x + 2y ≤ 30
Question 8
Which inequality is graphed?A shaded half-plane.
Ax ≥ 3
Bx ≤ 3
Cx < 3
Dy ≤ 3
Question 9
The point \((4, 2)\) lies on the boundary of \(x-2y\ge 0\). Is it a solution?
AYes, because 0 ≥ 0 is true
BNo, because 0 > 0 is false
CNo, because boundary points are never solutions
DYes, because the point is above the line
Question 10
Which are the corners of the region \(x\ge 0\), \(y\ge 0\) and \(x+y\le 6\)?The shaded region and its corners.
A(0, 0), (6, 0), (0, 6)
B(0, 0), (6, 0), (6, 6)
C(0, 0), (3, 3), (6, 0)
D(6, 0), (0, 6), (6, 6)
🎉 Quiz complete!
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Remember:
Standards A-REI.D.12 and A-CED.A.3: graph linear inequalities and systems, and model constraints.
Solid line for \(\le\) and \(\ge\); dashed line for \(<\) and \(>\).
Use a test point not on the line, such as \((0, 0)\), to decide which side to shade.
Multiplying or dividing by a negative number reverses the inequality symbol.
The solution set of a system is the overlap of the half-planes; a feasible region lists all allowed combinations.
