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Mathematics

12th Grade

Used 4+ times

Solving Systems Substitution/Elimination Test
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125 questions

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1.

REORDER QUESTION

1 min • 1 pt

What order is the 5 steps for elimination method?

Place in Standard Form

Determine which variable to eliminate

Plug variable back into equation

Check your solution

Add or subtract the equations

2.

REORDER QUESTION

1 min • 1 pt

What are the five steps to solving systems using substitution method.

Solve an equation for one variable

Plug back in to find the other variable

Substitute

Check your solution

Solve the equation

3.

FILL IN THE BLANKS QUESTION

1 min • 1 pt

In this system

x+3y=9

4x-2y=-6

it'll be easiest to start by solving the first equation for x.

The result of doing so is x=​

(a)  

4.

DRAG AND DROP QUESTION

1 min • 1 pt

In this system

x+3y=9

4x-2y=-6

it'll be easiest to start by solving the first equation for x.

The result of doing so is x=​9-3y.

Fill in the blanks to plug that expression in and solve for y:

4(​9-3y)-2​y =-6

36-​12y-2y=​-6

36-​14y =-6

-14y=​ (a)  

y=​ (b)  

-42
3
30
-3

5.

DRAG AND DROP QUESTION

1 min • 1 pt

In this system

x+3y=9

4x-2y=-6

we have figured out that x=9-3y, and y=3.

Complete the steps to solve for x:

x=9-3(​ (a)   )

x=9-​ (b)  

x=​ (c)  

The solution to the system is (​ (d)   ,​ (e)   ).

3
9
0
y
x
y=3
3y
-9
18

6.

REORDER QUESTION

1 min • 1 pt

Put the steps for solving by ELIMINATION in order:

Multiply one or both equations by a number to get common but opposite coefficients

Solve for the remaining variable

Make sure the equations are lined up

Subtract the equations to eliminate one variable

Plug that number into either original equation and solve for the other variable

7.

DRAG AND DROP QUESTION

1 min • 1 pt

Consider the system

4x+3y=-1

5x+4y=1

Let's say I want to eliminate the y's. What is the least common multiple of 3 and 4?

LCM = ​ (a)  

Multiply each equation by a number so that the coefficient of y will be 12, with one positive and one negative.

​ (b)   (4x+3y=-1)

​ (c)   (5x+4y=1)

12
4
-3
3
5
1
-1
-12

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