Free Printable Level 2: Systems of Equations Set

Worksheets

Level 2: Systems of Equations Set

Total questions: 50

Worksheet time: 2hrs 19mins

Name

Class

Date

Kindly confirm that these insights are in your notes or that you already have them mastered by typing "Done"

(a)

SOE.1

What is a System of Equations

A collection of linear equations, where the number of equations matches the number of variables, allowing for an algebraic solution.

A set of two or more variables that usually contains multiple equations

An equation that usually contains multiple variables

A set of three or more equations that usually contains multiple variables

A set of two or more equations that usually contains the same variables

SOE.2

When you are given a situation involving "n" variables, you need a system of "n" equations to arrive at fixed values for those variables.

"n" represents the number of constants

True

False

SOE.3

The following is a system of equations:

y=x+3

y=z-2

True

False

"Commercial Break"

Solve

$\frac{k}{6}+8=5$

(a)

Kindly confirm that these insights are in your notes or that you already have them mastered by typing "Done"

(a)

SOE.4

The solution of a system of equations will always be a...

number

coordinate

x-value

y-value

variable

SOE.5

Solving a system of equations means finding...

the appropriate x-value

the appropriate y-value

the slope

the y-intercept

a way to get out of doing the work in the first place

SOE.6

How many solutions does the following system have?

One

None

Infinitely many

10.

SOE.7

How many solutions does the following system have?

One

None

Infinitely many

11.

Kindly confirm that these insights are in your notes or that you already have them mastered by typing "Done"

(a)

12.

SOE.8

Kindly solve the system and enter your answer as a coordinate with parenthesis, a comma separating the x and y values, and no spaces.

y=6x+2

y=5x+15

(a)

13.

LE.PS.4

$\frac{3}{4}\left(8x+12\right)+5=8x+12$

Based on the equation above, what is the value of 5x+1?

Kindly enter numeric value only.

-No hints 😎-

(a)

14.

SOE.9

Kindly solve the system and enter your answer as a coordinate with parenthesis, a comma separating the x and y values, and no spaces.

y=7x+3

y=6x+16

(a)

15.

LE.PS.5

A line that passes through the origin in the coordinate plane has a slope of $\frac{7}{3}$ . Which of the following is a point on the line?

(-14,-6)

(-6,-14)

(-6,14)

(14,6)

16.

LE.PS.8*

A line passes through the origin and points (-4,c) and (c,-9). What is one possible value of c?

17.

LE.PS.9

$w=240+1.2d$

The weight of a flask containing a solution can be modeled by the equation above, where w is the weight in grams and d is the number of drops of solution that are in the flask. What is d when w is 300?

(a)

18.

SE.3

Kindly solve for x and enter the numerical value only:

$\left(4x+5\right)-\left(-2x+11\right)=x+4$

(a)

19.

SE.8

Kindly solve for x and enter the numerical value only:

(Simplify fractions as much as possible, enter your response using simplified fractions, and list your termed-variables in alphabetical order)

(a)

20.

TD.5

Translate from English to math as an equation:

"Jose's age in 5 years will be 1 year more than double what Beatrice's age was 2 years ago."

J+5=1+2(B-2)

J+5=(1+2B)+2

J+5=(1+2B)-2

J+5=1+(2B-2)

21.

TD.6

Translate from English to math as an equation:

"If 2 more blue chips are added to a pile, the ratio of blue to red chips will be 3:1"

$\frac{3}{1}=\frac{2B+R}{R}$

$\frac{3}{1}=\frac{2+B}{R}$

$\frac{3}{1}=\frac{2B+B}{R}$

$3=\frac{2B+R}{R}$

$\frac{3}{1}=\frac{2B+R}{B}$

22.

SI.4

Write the equation for the line that passes through each set of points without spaces and beginning with "y="

$y=\frac{1}{13}x-3\frac{8}{13}$

$y=\frac{1}{13}x+3\frac{8}{13}$

$y=\frac{1}{12}x-3\frac{7}{12}$

$y=\frac{1}{12}x+3\frac{7}{12}$

23.

SOE.10

Solve the following system using substitution:

y=x+2

x+y=6

(a)

24.

SOE.11

Solve the following system using substitution:

y=x-2

2x-y=6

(a)

25.

SOE.12

Solve the following system using substitution:

x=y-2

2y-x=6

(a)

26.

Kindly confirm that these insights are in your notes or that you already have them mastered by typing "Done"

(a)

27.

SOE.13

Kindly solve the following system using elimination:

y=2x+3

y=x-5

(a)

28.

SOE.14

Solve the following system using elimination:

x+y=2

x-y=1

(a)

29.

SOE.14a

Kindly solve the system below

-3x - 8y = 20

-5x + y = 19

(a)

30.

SOE.15

What is the solution to the system of equations below?

x + y = 10

x - y = 2

(a)

31.

SOE.15a

Kindly solve the system below:

-4x + y = 6

-5x - y = 21

(a)

32.

SOE.16

What is the solution to the system of equations below?

x - 3y = -13

-x + 4y = 15

(a)

33.

SOE.17

What is the solution to the system of equations below?

-4x - 2y = -2

5x + 2y = 4

(-3, 2)

(-3, 3)

(2, -3)

(2, 3)

34.

SOE.18

What is the solution to the system of equations below?

-x + 2y = 12

x + 6y = 20

(-4, -6)

(-4, 4)

(2, 7)

(8, 2)

35.

SOE.19

What is the solution to the system of equations below?

4x + 3y = -9

-4x - 8y = 4

(-7, 3)

(-5, 2)

(-3, 1)

(-1, 0)

36.

SOE.20

What is the solution to the system of equations below?

-5x + 2y = -3

5x + y = -9

(-4, 11)

(-1, -4)

(3, 6)

(6, 3)

37.

SOE.21

What is the solution to the system of equations below?

10x + 5y = -5

7x - 5y = 5

(-1, 0)

(0, -1)

(0, 1)

(1, 0)

38.

SOE.22

What is the solution to the system of equations below?

2x - 2y = 2

6x + 2y = -18

(-3, -2)

(-1, -2)

(-2, -3)

(-2, -1)

39.

SOE.23

What is the solution to the system of equations below?

6x + 6y = -24

6x - 6y = -36

(-5, 1)

(-5, 3)

(-5, 5)

(-5, 7)

40.

SOE.24

What is the solution to the system of equations below?

2x + 3y = 18

15x - 3y = 33

(-3, -4)

(-3, 8)

(3, -4)

(3, 4)

41.

SOE.25

Kindly solve the system using the method of your choice:

y = 6x - 11

-2x - 3y = -7

(a)

42.

SOE.26

Kindly solve the system using the method of your choice:

2x - 3y = -1

y = x - 1

(a)

43.

SOE.27

Kindly solve the system using the method of your choice:

y = -3x + 5

5x - 4y = -3

(a)

44.

SOE.28

Kindly solve the system using the method of your choice:

-3x - 3y = 3

y = -5x - 17

(a)

45.

SOE.29

Kindly solve the system using the method of your choice:

y = -2

4x - 3y = 18

(a)

46.

SOE.30

Kindly solve the system using the method of your choice:

y = 5x - 7

-3x - 2y = -12

(a)

47.

SOE.31

Kindly solve the system using the method of your choice:

-7x - 2y = -13

x - 2y = 11

(a)

48.

SOE.32

Kindly solve the system using the method of your choice:

-5x + y = -2

-3x + 6y = -12

(a)

49.

SOE.33

Kindly solve the system using the method of your choice:

-5x + y = -3

3x - 8y = 24

(a)

50.

SOE.34

Kindly solve the system using the method of your choice:

x + 3y = 1

-3x - 3y = -15

(a)

Reset

Level 2: Systems of Equations Set

Total questions: 50

Worksheet time: 2hrs 19mins

Similar Resources on Wayground