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4. Systems of Equations & Inequalities
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United States of AmericaVirginia
Algebra 1

4.01 Write and graph linear systems

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

The graphical solution of a system of two linear equations can be described as:

The point of intersection of two lines.

A

Any point that is at an equal distance from two lines.

B

The angle between two lines at their point of intersection.

C

The distance between the $y$y-intercepts of two lines.

D
Easy
< 1min

How can we know whether a given ordered pair is a solution of a system of equations?

Easy
1min

Consider a system consisting of two straight lines with different slopes.

Easy
< 1min

The equation $y=5x+3$y=5x+3 has been drawn on the graph below.

If a second line $y=mx+b$y=mx+b intersects this line at the point $\left(0,3\right)$(0,3), which of the following statements is true?

Medium
< 1min
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Outcomes

A.EI.2

The student will represent, solve, explain, and interpret the solution to a system of two linear equations, a linear inequality in two variables, or a system of two linear inequalities in two variables.

A.EI.2a

Create a system of two linear equations in two variables to represent a contextual situation.

A.EI.2b

Apply the properties of real numbers and/or properties of equality to solve a system of two linear equations in two variables, algebraically and graphically.

A.EI.2c

Determine whether a system of two linear equations has one solution, no solution, or an infinite number of solutions.

A.EI.2h

Verify possible solution(s) to a system of two linear equations, a linear inequality in two variable, or a system of two linear inequalities algebraically, graphically, and with technology to justify the reasonableness of the answer(s). Explain the solution method and interpret solutions for problems given in context.

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