Graphing and Solving Equation Review

Graphing and Solving Equation Review

9th Grade

15 Qs

quiz-placeholder

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Graphing and Solving Equation Review

Graphing and Solving Equation Review

Assessment

Quiz

Mathematics

9th Grade

Hard

CCSS
8.EE.C.8B, 7.EE.B.4A, HSA.REI.C.9

+3

Standards-aligned

Created by

Anthony Clark

FREE Resource

15 questions

Show all answers

1.

DRAG AND DROP QUESTION

1 min • 5 pts

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(​ (a)   )-2​ (b)   =-6

36-​ (c)   y-2y=​ (d)  

36-​ (e)   =-6

9-3y

y

12

-6

14y

x

10y

x+3y

24y

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

2.

DRAG AND DROP QUESTION

1 min • 2 pts

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

3.

DRAG AND DROP QUESTION

1 min • 5 pts

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

4.

DRAG AND DROP QUESTION

1 min • 3 pts

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

5.

DRAG AND DROP QUESTION

1 min • 5 pts

Consider the system

4x+3y=-1

5x+4y=1

After we do this multiplication, what will the new equations be?

​ 4(4x+3y=-1) ---> ​ (a)   x +​ (b)   y=​ (c)  

​-3(5x+4y=1)​ ---> ​ (d)   x -​ (e)   y= -3

16

12

-4

-15

3

5

1

-1

-12

-3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

6.

DRAG AND DROP QUESTION

1 min • 4 pts

Consider the system:

4x+3y=-1

5x+4y=1

Which we converted to:

16 x +​ 12y=​-4

-15x -​ 12y= -3

Combining the equations straight down gives us:

​ (a)   x+​ (b)   y=​ (c)  

Solving for x, we get x=​ (d)  

1

0

-7

3

5

-1

-12

-3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

7.

DRAG AND DROP QUESTION

1 min • 5 pts

Consider the system:

4x+3y=-1

5x+4y=1

Since we now know that x=-7, solve for y:

4(​ (a)   )+3y=-1

​ (b)   +3y=-1

​ (c)   =​ (d)  

y=​ (e)  

-7

-28

3y

27

9

5

7

-12

3

y

Tags

CCSS.HSA.REI.C.9

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