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Understanding Systems of Equations

Total questions: 10

Worksheet time: 11mins

Name
Class
Date
1.

What is a system of equations?

a)

It is a graph of a single linear equation.

b)

It is 2 or more linear equations that can result in 1-solution, no-solution or infinitely many solutions.

c)

It is a point or series of points on a linear graph where two or more lines intersect or contain the same "X" and "Y" values/answers

d)

It is a special word problem

2.

The graph on your left is an image of a linear system of equations with what type of solution?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution

d)

Only Two Solutions

3.

In the image of the system of equations found on the left, what solution type is displayed in the graph?

a)

No Solution

b)

One Solution

c)

Infinitely Many Solutions

d)

Only Two Solutions

4.

The graph on the left contains an image that represents a system of equations with how many solutions?

a)

No Solutions

b)

One Solution

c)

Only Two Solutions

d)

Infinitely Many Solutions

5.

What do you call the point where two linear equations intersect on a graph (Select all the answers that apply)

a)

Coordinate Plane

b)

Answer for "X" and "Y"

c)

Solution

d)

Intersection Point

6.

A system with one solution intersects _____________ . (fill in the blank)

a)

One time

b)

Two times

c)

Infinitely Many Times

d)

Zero times or they never touch

7.

A system of equations that never intersects, has _________________ . (Select all answers that apply)

a)

One solution

b)

Zero solutions

c)

No solution

d)

Infinitely many solutions

8.

A system of equations that has an infinite number of intersection points has _______________ . (fill in the blank)

a)

An infinite number of solutions

b)

Has no solutions

c)

Has one solution

d)

Has two solutions

9.

A system of equations that consist of parallel lines has _______________ . (select all the answers that apply)

a)

an infinite number of solutions

b)

one solution

c)

two solutions

d)

no solutions

10.

In the image on the left, the intersection or solution point is at (2, 5). When checking this equation, you should substitute 2 in for the ___________________ . ( fill in the blank)

a)

X value

b)

Y value

c)

You cannot tell which it represents