Pre-Unit 3 Assessment

Determine whether the system of equations is independent, dependent, or inconsistent:

x + 2y = 4

3x + 6y = 12

• Independent

• Dependent

• Inconsistent

Tags

CCSS.8.EE.C.8B

Which system(s) of equations has infinitely many solutions? Select all that apply.

• 4x + 6y = 2, 12x + 19y = 6

• 4x + 6y = 1, 8x + 12y = 1

• 2x + 3y = 2, 6x + 9y = 6

• 2x + 3y = 4, 4x + 3y = 2

Tags

CCSS.8.EE.C.8B

Which system(s) of equations has no solutions? Select all that apply.

• 3x − 2y = 2, −6x + 4y = 4

• 2x − 2y = 4, x + 2y = 2

• 2x − 2y = −2, x + 2y = 2

• 3x − 2y = 2, −6x + 4y = −2

Tags

CCSS.8.EE.C.8B

A school has $100 to spend on rewards. The first reward costs $2 and the second costs $3. What are the vertices of the feasible region for this scenario if the quantity of the first award is represented by the variable x and the quantity of the second award by y? Select all that apply.

Hint: Use Desmos after determining the inequalities that would represent the restraints for this situation.

What is the solution to the system of equations in the picture? Use substitution.

• x = 1, y = -2, z = 5
• x = 0, y = 0, z = 0
• x = -1, y = 2, z = 15
• x = -2, y = 1, z = 10

What is the solution to the system in the picture? Use elimination.

• (1, 2, 3)

• (4, 2, 0)

• (0, 0, 0)

• (4, 1, 2)

What linear system does the matrix in the picture represent?

• -5x + 10y = 10,

  8x + 6y = -5

• 5x + 10y = 20,

  8x + 6y = 5

• 5x - 10y = 20,

  -8x + 7y = 5

• 5x + 10y = -20,

  8x - 6y = 5

Tags

CCSS.HSA.REI.C.8

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6