Three Variable Systems of Equations

Three Variable Systems of Equations

11th Grade

12 Qs

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Three Variable Systems of Equations

Three Variable Systems of Equations

Assessment

Quiz

Mathematics

11th Grade

Practice Problem

Hard

CCSS
8.EE.C.7A, 8.EE.C.8A

Standards-aligned

Created by

Anthony Clark

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A local grocery store makes a 9-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins costs $2 per pound, sunflower seeds cost $1 per pound, and chocolate-covered peanuts cost $1.50 per pound. The total cost for the mixture is $14.50. Set up the system of equations using the following:

2.

MULTIPLE CHOICE QUESTION

1 min • 11 pts

The solution of a system of three linear equations in three variables, x,y, and z, is called a(n) ___________________ (x,y,z).

Ordered Pair

Integer

Ordered Triple

Sum

3.

MULTIPLE CHOICE QUESTION

1 min • 11 pts

What is your solution if your variables go away and you are left with 0 = 0?

No Solution

All Real Numbers

Infinitely Many Solutions

(x, y, z)

Tags

CCSS.8.EE.C.7A

4.

MULTIPLE CHOICE QUESTION

1 min • Ungraded

How confident do you feel solving linear systems in three variables?

Very confident, and could help a friend.

Fairly confident, but would like more practice

Somewhat confident, but have some questions

Not confident yet, and would like some help

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve this system of equations:

x+2y-z=10

y+z=5

2z=4

(14,3,2)

(-2,7,2)

(6,3,2)

(12,1,4)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the system of equations:

2x+4y-z=4

x+2y-3z=-8

3x-y+z=2

(4,0,2)

(0,2,4)

(4,-8,2)

(-8,2,4)

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The solution to a 3-variable systems of equation is...

the intersection of three planes

the origin

infinitely many solutions

no unique solution

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