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Solving Systems by Elimination with Multiplication

Solving Systems by Elimination with Multiplication

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Practice Problem

Hard

CCSS
8.EE.C.8B, HSA.REI.C.6

Standards-aligned

Created by

Amelia Wright

FREE Resource

Standards-aligned

CCSS.8.EE.C.8B
,
CCSS.HSA.REI.C.6

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step if there are no common coefficients in the given system of equations?

Add the equations directly.

Divide one equation by a number.

Multiply one or both equations by a number to create matching coefficients.

Subtract the equations directly.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 1, what is the result of multiplying the top equation by -2?

2x + 6y = 12

-2x - 6y = -12

2x - 6y = 12

-2x + 6y = -12

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

After finding y = 1 in Example 1, which equation is used to find the value of x?

The unused equation.

The rearranged equation.

The equation with the smaller coefficients.

The equation with the larger coefficients.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 2, why is the bottom equation multiplied by -3?

To make the coefficients of y the same.

To make the coefficients of x the same.

To simplify the equation.

To make the signs of the coefficients opposite.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the system in Example 2?

(3, 1)

(2, 5)

(-1, 7)

(1, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In Example 3, why are both equations multiplied by different numbers?

To make the coefficients of x the same.

To simplify the equations.

To make the coefficients of y the same.

To make the signs of the coefficients opposite.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the solution to the system in Example 3?

(-2, 5)

(3, -3)

(-1, 7)

(1, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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