All Types of Linear Equations

At which point do the graphs of 2x = y + 5 and 6x + 2y = -5 intersect?

• (2, -4)

• (-4, 1)

• (1/2, -4)

• (-3/2, -8)

When solving a system algebraically, which expression indicates there is 1 solution?

• 2=2

• -2=6

• x=7

• 0=0

When solving a system algebraically, which expression indicates there are infinite solutions?

What is the solution to the system of equations show:

• 2x + 6(-5x) = -3

• 2x - 5x = -3

• y + 6(-5y) =-3

• 2(-5x) + 6y = -3

Which of the following best represents a system of equations with no solution?

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Is (-1, 1) a solution to the system:

x + y = 0

3x - 3y = 0

• Yes, (-1, 1) is the solution

• No, (-1, 1) is not a solution

Which scenario could be modeled by a linear function?

• the population of a city that is growing by 3% each year

• the amount of carbon in a sample that is decaying by half every 6 hours

• the number of calories burned when running at a constant speed

• the height of a rocket 6 hours after takeoff

How many solutions does the system containing 2x + y = 3 and 4x + 2y = 0 have?

• 0

• 1

• 2

• Infinite

How many solutions does the system containing x + 2y = 4 and 2x + 4y = 8 have?

• 0

• 1

• 2

• Infinite