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6-2 Solving Linear Systems of Equations Substitution Elimination

Authored by Dana Ruge

Mathematics

10th - 12th Grade

Used 24+ times

6-2 Solving Linear Systems of Equations Substitution Elimination
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10 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve the system of equations using substitution:

-4x + 4y = 8

y = -2x - 10

(-4, -2)

(12, -34)

(4, -18)

(-4, 2)

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which of the following is the correct setup to solve the system of equations by substitution.

4x + y = 5

-3x + y = - 16

-3x + (4x - 5) = -16

-3x + (-4x + 5) = -16

4x + (3x + 16) = 5

4x + (-3x - 16) = 5

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the system by elimination.

4x + 12y = −1

−3x − 9y = 0

(10, 1)

(−10, −1)

Infinitely Many Solutions

No solution

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the System by Substitution:


x - 2y= 1

3x - 6y = 3

NO SOLUTION

(3, 3)

Infinitely Many Solutions

(5, -2)

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Solve the System by Substitution:


3x - 5y= 15

x - 4y = 12

NO SOLUTION

(3, 0)

(0, -3)

Infinitely Many Solutions

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Media Image

Solve using substitution.

(1,2)

(-1,-2)

(3,-2)

(2,1)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is a correct way to solve this system of equations using Elimination?


Eq 1: 3x - 5y = 12

Eq 2: -2x + 3y = -2

Multiply Eq 1 by (-2) and Eq 2 by (3), then add together

Multiply Eq 1 by (2) and Eq 2 by (-3), then add together

Multiply Eq 1 by (-3) and Eq 2 by (-5), then add together

Multiply Eq 1 by (3) and Eq 2 by (5), then add together

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