Algebra 2 Pre-AP = Systems of Linear Equations

If a system of equations has no solution, what does the graph look like? 

​ (a)  

• parallel lines
• intersecting lines
• same line
• perpendicular lines

Tags

CCSS.8.EE.C.8A

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both company's pizza cost the same amount? 

• y = 6.80 + .65x
  y=7.30+.90x
• x + y = 6.80
  x + y = 7.30
• y = 6.80+.90x
  y = 7.30 + .65x
• y + .90x = 6.80
  y + .65x = 7.30

Tags

CCSS.8.EE.C.8C

What steps do you take to graph a linear equation?

(Put them in correct order)

• Plot the Y-intercept

• Find the slope of our line (m)

• Use slope to create line

• Solve for Y-variable.

  (isolate Y)

• Find the

  Y-intercept (0,b)

Solve by elimination method.
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50.   On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. 

Determine the cost of 1 cup of coffee? 

• Cost of 1 cup of coffee is $.80

• Cost of 1 cup of coffee is $1.18

• Cost of 1 cup of coffee is $1.25

• Cost of 1 cup of coffee is $1.75

Tags

CCSS.8.EE.C.8C

Solve by Substitution:

y = -6

-3x - 6y = 24

• (6, 6)

• (6, -6)

• (4, -6)

• (-6, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (-1,7) and (0,5)

• (-4,2) and (-5,8)

• (-2,6) and (10,15)

• (-2,4) and (6,12)

Tags

CCSS.HSA.REI.C.7

Which order pair is a solution of the system of equations shown in the graph?

• (-3,1)

• (-3,5)

• (0,-1)

• (0,-4)

Tags

CCSS.HSA.REI.C.7

One brand of suntan lotion comes in a small size with x ounces of lotion and a regular size with y ounces of lotion.  Given the system of equations below how can we eliminate the terms with x?
x+2y = 15
2x + y = 19.5

• subtract the two equations from each other
• multiply the second equation by -1 and add the two equations
• multiply first equation by 2, multiply the second equation by 1 then add them
• multiply the first equation by -2 then add the equations together 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Match the following systems to their solutions.

• (-1, 1)

• 
• No solutions.

• 
• (1,2)

• 
• (0, 0)

• 

Tags

CCSS.8.EE.C.8A