System of Linear Equations Review

Solving Systems of Linear Equations by Graphing

100

Solve the system of linear equations by graphing:

y = 2x + 9

y = -x + 6

(-1,7)

200

Solve the system of linear equations by graphing:

y = x + 4

y = -x + 2

(-1,3)

300

Solve the system of linear equations by graphing:

y = 2x + 5

y=1/2 x-1

(-4,-3)

400

Solve the system of linear equations by graphing:

x + y = 7

y = x + 3

(2,5)

500

Is it possible for a system of linear equations to have exactly two solutions? Explain your reasoning.

No, two lines cannot intersect in exactly two points. 

1000

Free Square

1000 Free Points

Solving Systems of Linear Equations by Substitution

100

Solve the system of linear equations by substitution:

y = x - 4

y = 4x - 10

(2,-2)

200

Solve the system of linear equations by substitution:

y = 2x + 5

y = 3x - 1

(6,17)

300

Solve the system of linear equations by substitution:

x = 2y + 7

3x - 2y = 3

(-2, -4.5)

400

Solve the system of linear equations by substitution:

2x = y - 10

x + 7 = y

(-3,4)

500

Solve the system of linear equations by substitution:

y - x = 0

2x - 5y = 9

(-3,-3)

1000

Solve the system of linear equations:

y = 8x - 2

y - 8x = -2

Infinitely many solutions.

Solving Systems of Linear Equations by Elimination

100

Solve the system of linear equations by elimination:

x + 3y = 5

-x - y = -3

(2,1)

200

Solve the system of linear equations by elimination:

x - 2y = -7

3x + 2y = 3

(-1,3)

300

Solve the system of linear equations by elimination:

2x + 7y = 1

2x - 4y = 12

(4,-1)

400

Solve the system of linear equations by elimination:

2x - y = 0

3x - 2y = -3

(3,6)

500

Solve the system of linear equations by elimination:

x + 4y = 1

3x + 5y = 10

(5,-1)

1000

The length of a rectangle is equal to triple the width. Write a system of equations to find the dimensions of the rectangle if the perimeter is 96 centimeters? What are the length and the width of the rectangle?

1. define the variables

2. write the system

3. Solve the system

4. Write a sentence for the solution (with units). 

1. L = lenght of rectangle (cm)

W = width of rectangle (cm) 

2. 86 = 2L + 2W

L = 3W

3. L = 36, W = 12

4. The length is 36 cm and the width is 12 cm. 

Solving Special Systems of Linear Equations

100

Solve the system of linear equations:

y = 2x - 2

y = 2x + 9

No solution.

200

Solve the system of linear equations:

y = 3x + 1

-x + 2y = -3

(-1,-2)

300

Solve the system of linear equations:

y = 5x - 9

y = 5x + 9

No solution. 

400

Solve

-(2x+4)≤ 2x+1

-5/4 ≤ x

500

Solve the inequality

4x-7 ≥-(-1x/3+5)

x ≥ 6/13

1000

What is the full name of your Math Teacher?
(name and surname)

Muratchan Avazbekov