System of Equations and Inequalities

For equations below, which method is easier to use? Why?

• Graphing, because both are already in y = mx + b form.

• Substitution, because one equation is already solved for y. 

• Elimination, because both are already in ax + by = c form. 

• None. 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

For equations below, which method is easier to use? Why?

• Graphing, because both are already in y = mx + b form. Also, substitution, because one equation is already solved for y. 

• Elimination, because both are already in ax + by = c form. 

• Elimination, because both are already in ax + by = c form. Also, graphing, because both are already in y = mx + b form. 

• None.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• Multiply the second equation by 2 and the result to the first equation.

• Multiply the second equation by -2 and the result to the first equation.

• Multiply the first equation by 7 and the second equation by -5 and add the resulting equations.

• Multiply the first equation by -7 and the second equation by -5 and add the resulting equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

• yes

• no

Select the ordered pair which is a solution of the following system of equations:
5x + 7 = 4y
2x - 1 = y + 1

• (5,8)

• (0,0)

• (-1,-5)

• (11,40)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations.

• (-6, 30)

• (-2, 10)

• (44, 39)

• No solution

• Infinite solutions

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of Equation (x,y)
−4x + 9y = 9
x − 3y = −6 

• (-9,-5)

• (-5,9)

• (9,5)

• (-5,-9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6