Systems of Equations Quiz 2024

Solve the following system
x + 9y = 8
-6x - 9y = -3

• (1,-1)
• (1,1)
• (-1,1)
• (-1,-1)

2x - 3y = 6
7x - 3y = -9

• (-3,-4)
• (3,4)
• (-4,-3)
• (4,3)

A ________________ is a set of two or more equations that have the same variables.

• solution of a system
• elimination method
• system of equations
• table

What is the solution to the system of equations?

• (-1, -3)

• (3, 1)

• (1, 3)

• (-3, -1)

What is the solution to the system of equations?

• No Solution

• Infinitely Many Solutions

• (7, -2)

• (-5, -5)

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)
• (5, 1)
• (0.25, 2)
• ∅

How can you tell if a point is a solution to a system?

• It makes the first equation true.
• The (x,y) coordinates satisfy both equations
• It makes logical sense
• It makes neither equation negative

Which is the best method to use?

y = 6x − 11

−2x − 3y = −7

• Graphing

• Substitution because a variable is isolated.

• Elimination because both equations are in standard form.

What is the definition of a coefficient?

• The letter used to represent a quantity
• The little number or letter used to raise to a power
• The number in front of a variable
• The number in back of a variable

The ________ of a system of linear equations in two variables is any ordered pair that solves both of the linear equations.

• Variable

• Coefficient

• Solution

• Constant