Systems of Equations Review - Xen McCoy | Biblioteka

1

Which method is best to use to solve the following system of linear equations? 2x + 3y = 12 and x - y = 2

Graphing method

Substitution method

Division method

Matrix method

1

What's the first step to solve the system using elimination? 5x + 3y = 11 and 4x - y = 9

Add the equations together

Subtract the equations

Multiply the second equation by 3

Solve one equation for y

1

When there is no solution to a system of linear equations, these two lines are...

Vertical

Intersecting

Parallel

Perpendicular

1

When you use the graphical method to solve a system of linear equations, what does the point of intersection between the two lines represent?

The x-intercept

The slope of the lines

Solution of the system

The y-intercept

1

When is the elimination method best used for solving a system of equations?

When coefficients of the same variable are equal

When there is only one equation

When the equations are in slope intercept form

When the equations are quadratic

1

In the elimination method, what happens to one of the variables when you add or subtract the equations?

It gets squared

Its value gets halved

It gets eliminated

It gets isolated

1

When should you use substitution to solve a system of linear equations?

When one of the equations is already solved for a variable.

When one of the variables is squared.

When the equations are not linear.

When both equations are quadratic.

1

In the system of equations x + 2y = 8 and 3x + 4y = 12, which variable would you solve for first using substitution?

y

x

Both x and y

Neither x nor y

1

Which of the following systems of equations would be best to solve using substitution?

2x + 3y = 6, 4x + 5y = 10

y = x² + 3x + 2, y = 4x - 7

y = 2x + 3, 4x - y = 1

x + y = 7, y - x = 2

1

When using a graph to solve a system of equations, what does the point of intersection represent?

The slope of one of the lines

The y-intercept of one of the lines

The solution to the system

A point on both lines but not solution

1

How many solutions does a system of linear equations have if the lines on the graph are parallel?

Infinite number of solutions

One solution

No solutions

Two solutions

1

How many solutions does a system of linear equations have if the lines on the graph coincide (occupy the same line)?

One solution

Two solutions

No solutions

Infinite number of solutions

1

Given the two equations, 2x + 3y = 6 and 4x + y = 7, which solution set satisfies these two equations?

(x, y) = (0, 2)

(x, y) = (2, 1)

(x, y) = (1, 1)

(x, y) = (1.5, 1)

1

Solve the system of equations: 5x + 4y = 20 and x + 2y = 3.

(x, y) = (4.667,-0.833)

(x, y) = (1, 2)

(x, y) = (2, 1)

(x, y) = (0.5, 2)

1

What is the solution to the system of equations: 3x - 2y = 4 and x + y = 3?

(x, y) = (1, 2)

(x, y) = (2, 1)

(x, y) = (1, 1)

(x, y) = (2, 2)

1

What is the solution for the system of linear equations 3x + 2y = 6 and 2x - y = 4?

(1, 2)

(2, 1)

(2, 0)

(-1, 2)

1

Solve the following system of linear equations: x + y = 10 and 2x - y = 4, what is the value for x?

4.667

8

5.333

2

1

Solve for x in the system of linear equations: 3x + 2y = 12 and 6x - y = 9

4

1

2

3

1

Find the value of y in this system of equations: 3x + 2y = 6 and x - 4y = 8

2.857

-1.286

1

0

1

Given the system of equations 2x + 4y = 8 and x + y = 2, what is the solution for y?

1.5

2

1

0.5