Linear Systems and Linear Equations

Solve the equation:
4 - 6x - 2= -2(3x-1)

• no solution

• infinitely many solutions

• x = ⅓

• x = 4

Which of the equations has no solution?

• 2x + 1 = 5x - 3

• 2(x - 7) = 2x-14

• 3(2x+1) = 6x+1

• 15x - 30 = 0

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

• y=15x

• y=15x+80

• y=x+15

• y=80x+15

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. How many toppings can you get at each Pizzeria so that the price of a large pizza is the same? 

• 3 toppings

• 1 topping

• 2 toppings

• 4 toppings

Will the solution (-3, -7) make the following system of equations a true statement? 
y = 4x + 5
y = x – 4

• YES

• NO

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5  

  y-intercept:  3

• slope: 3/2  

  y-intercept:  3

• slope:  4  

  y-intercept:  3/2

• slope: 1/5  

  y-intercept:  3

Write an equation for this relationship.

• y=1/5x

• y=1/2x

• y=2x

• y=5x

Which graph is non-proportional?

• A

• B

• C

• D

Slopes of perpendicular lines are...

• opposite reciprocals.

• opposites.

• the same.

• undefined.

Slopes of parallel lines are...

• opposite reciprocals.

• opposites.

• the same.

• undefined.