Quiz about CW- Solving Systems of Equations Practice

Question 1

If a system of equations has no solution, what does the graph look like?

Accepted Answer

parallel lines

Answer

intersecting lines

Answer

skew lines

Answer

intersecting lines

Question 2

Solve using the most efficient method for this system.

-2y = -x + 2

3x + 4y = 3

Accepted Answer

(1.4, -0.3)

Answer

(3.1, 5)

Answer

(-2.5, 3.5)

Answer

(6.9, 1.02)

Question 3

Solve the system of equations using the method that is most efficient for this system.

y = -4x + 5

y = 3x - 16

Accepted Answer

(3,-7)

Answer

(-3, -25)

Answer

(11, 17)

Answer

(21, 47)

Question 4

Solve the system of equations by using the most efficient method for this system.

4x + y = 5

-3x + y = - 16

Accepted Answer

(3,-7)

Answer

(-3, -25)

Answer

(11, 17)

Answer

(21, 47)

Question 5

Solve by using the most efficient method for this system:

4x+9y=28

-4x-y=-28

Accepted Answer

(7,0)

Answer

(-7,0)

Answer

(6,0)

Answer

(-6,0)

Question 6

Solve by elimination:

7x - 9y = 29

2y + 7x = -15

Accepted Answer

(-1.-4)

Answer

(-4,-1)

Answer

(-1,4)

Answer

(-1,6)

Question 7

Solve by elimination:

7x+y=-9

-3x-y-5= 0

Accepted Answer

(-1,-2)

Answer

No solution

Answer

(1,8)

Answer

(-2,-3)

Question 8

What is the solution?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Answer

(0, -1.5)

Question 9

solve by substitution:

y - 14=3x

y=-4x

Accepted Answer

y= - 2

Answer

y=3

Answer

y=1

Answer

y=4

Question 10

The solution of a system of linear equations is...

Accepted Answer

the intersection of the two equations on a graph

Answer

the y-intercept (b)

Answer

the second equations' answers

Answer

the slope (m)

Question 11

The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

Accepted Answer

x=3

Answer

x=8

Answer

x=11

Answer

x=5

Question 12

What is the solution to this system?
x - y = 6
y = 2x - 5

Accepted Answer

(-1,-7)

Answer

(1,3)

Answer

(-1,3)

Answer

(1,-7)

Question 13

This system has _____ solutions

Accepted Answer

No

Answer

1

Answer

2

Answer

Infinitely many

Question 14

What is the solution to the system?

Accepted Answer

(1, 3)

Answer

(0, 3)

Answer

(1, -1)

Answer

(-3, 1)

Question 15

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

Accepted Answer

(5, -8)

Answer

(5, 8)

Answer

(-5, -18)

Answer

(-5, 8)

Question 16

Buzz graphed two lines in order to find the solution to a given system of equations.
What is the solution?

Accepted Answer

(1, -4)

Answer

(-1, 4)

Answer

(-4, 1)

Answer

(4, -1)

Question 17

What is the solution?

Accepted Answer

(1, -1)

Answer

(-1, 1)

Answer

(0, -2)

Answer

(0, 1)

Question 18

The solution to a system of equations is any ordered pair that makes both equations true.

Accepted Answer

TRUE

Answer

FALSE

Question 19

This system has _____ solutions

Accepted Answer

0

Answer

1

Answer

2

Answer

Infinitely many

Question 20

What is the solution?

Accepted Answer

Infinitely Many Solutions

Answer

One Solution

Answer

No solution

Question 21

You can solve systems using these methods:

Accepted Answer

graphing, substitution, and elimination

Answer

rearranging, thinking, and guessing

Answer

only by graphing

Question 22

Solve this system by substitution.

Accepted Answer

(1, 4)

Answer

(1, -4)

Answer

(-4, -7)

Answer

(-7, -4)

Question 23

Solve by elimination

4x-6y= -6

-2x-12y= -12

Accepted Answer

(0,1)

Answer

(1,0)

Answer

(1,1)

Answer

(0, 2)

Question 24

Solve by elimination
2x+9y= -7
6x-3y= 9

Accepted Answer

(1,-1)

Answer

(-1, -1)

Answer

(2,-1)

Answer

(1,1)

Question 25

Solve the system using elimination.

2x + 3y = 12

5x - y = 13

Accepted Answer

(3, 2)

Answer

(-3, -2)

Answer

(1.5, 2)

Answer

(3, 0)

Question 26

What is the best first step to solve this system by elimination?

Accepted Answer

Add the equations to eliminate y

Answer

Subtract the equations to eliminate y

Answer

Multiply the second equation by 3.

Answer

Multiply the first equation by 2

Question 27

Solve the following system using any method.

3x + 2y = 16

7x + y = 19

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Answer

(2,-5)

Question 28

What is the solution to the systems of equations?

Accepted Answer

Infinitely Many Solutions

Answer

(-7, -9)

Answer

(-10, 5)

Answer

No Solution

Question 29

Solve the system of equations.

Accepted Answer

(-2, 10)

Answer

(-6, 30)

Answer

(44, 39)

Answer

No solution

Answer

Infinite solutions

Question 30

Determine if the solution $$\left(3,\ -1\right)$$ satisfies the system $$2x-5y=11$$
$$-3x+4y=-13$$

Accepted Answer

yes

Answer

no

Question 31

Does the solution $$\left(2,-3\right)$$ satisfy the system $$4x+3y=-17\ \ \ \ \ \ \ \ -7x-2y=20$$

Accepted Answer

no

Answer

yes

Question 32

Which method would be best (quickest) for solving the system below:

x + y = 11

3x - 4y = -2

Accepted Answer

Elimination

Answer

Substitution

Answer

Graphing

Answer

None of these

Question 33

Solve the system:

x + y = 19

y = 3x - 1

Accepted Answer

(5, 14)

Answer

(14, 5)

Answer

(11, 8)

Answer

(8, 11)

Question 34

Solve the system:

2x + 3y = -2

3x - 2y = 23

Accepted Answer

(5, -4)

Answer

(-4, 5)

Answer

(-5, 4)

Answer

infinite solutions

Question 35

Solve the following system using any method.

3x + 2y = 16

7x + y = 19

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Answer

(2,-5)

Question 36

Solve for x and y
3x + 2y = 16
7x + y = 19

Accepted Answer

(2,5)

Answer

(-2,5)

Answer

(-2,-5)

Answer

(2,-5)

Question 37

Solve the following system of equations using the elimination method:

Accepted Answer

(-2, 1)

Answer

no solutions

Answer

(-2, 0)

Answer

(-1, -3)

Question 38

What is the best method for solving this system of linear equations?

$$x=2y$$
$$2x-3y=5$$

Accepted Answer

Substitution

Answer

Graphing

Answer

Elimination

Question 39

What is the best method for solving this system of linear equations?

$$y=2x+2$$
$$y=-x+5$$

Accepted Answer

Graphing

Accepted Answer

Substitution

Answer

Elimination

Question 40

What is the best method for solving this system of linear equations?

$$x+y=5$$
$$2x-y=4$$

Accepted Answer

Elimination

Answer

Graphing

Answer

Substitution

Question 41

Solve the system of equations by substitution.

$$y=4x+1$$

$$4x-y=7$$

What is the solution?

Accepted Answer

No solution

Answer

$$\left(2,1\right)$$

Answer

$$\left(2,9\right)$$

Answer

Infinitely many solutions

Question 42

Solve the system of equations by substitution.

$$x=2y-5$$

$$-4x+4y=0$$

What is the solution?

Accepted Answer

$$\left(5,5\right)$$

Answer

$$\left(-5,0\right)$$

Answer

Infinitely many solutions

Answer

No solution

Question 43

Solve the system of equations by elimination.

$$x+y=8$$

$$x-y=-2$$

What is the solution?

Accepted Answer

$$\left(3,5\right)$$

Answer

$$\left(2,6\right)$$

Answer

Infinitely many solutions

Answer

No solution

Question 44

Solve the system of equations by elimination.

$$2x-y=16$$

$$5x+3y=-4$$

What is the solution?

Accepted Answer

$$\left(4,-8\right)$$

Answer

$$\left(2,-12\right)$$

Answer

Infinitely many solutions

Answer

No solution

Question 45

Solve the system of equations using any method.

$$y=-\frac{1}{3}x+4$$

$$x=-3$$

What is the solution?

Accepted Answer

$$\left(-3,5\right)$$

Answer

$$\left(-3,2\right)$$

Answer

Infinitely many solutions

Answer

No solution

Question 46

Solve the system of equations.

Accepted Answer

(-2, 10)

Answer

(-6, 30)

Answer

(44, 39)

Answer

No solution

Answer

Infinite solutions

Question 47

Which variable is best to eliminate"
3x - 6y = 15
-3x + 8y = 19

Accepted Answer

x

Answer

y

Question 48

What is the best first step to solve this system by elimination?

Accepted Answer

Add the equations to eliminate x

Answer

Add the equations to eliminate y

Answer

Multiply the first equation by 2

Answer

Multiply the second equation by 3

Question 49

What is the best first step to solve this system by elimination?

Accepted Answer

Multiply the second equation by $$-3$$

Answer

Add the equations to eliminate y

Answer

Multiply the first equation by 2

Answer

Add the equations to eliminate x

Question 50

What is the best first step to solve this system by elimination?

Accepted Answer

Multiply the second equation by 2

Answer

Add the equations to eliminate y

Answer

Multiply the first equation by 2

Answer

Add the equations to eliminate x

Question 51

Solve the system by the elimination method.

Accepted Answer

$$\left(3,-1\right)$$

Answer

$$\left(7,21\right)$$

Answer

$$\left(1,4\right)$$

Answer

$$\left(-2,5\right)$$

Question 52

Solve the system by the elimination method.

Accepted Answer

$$\left(-2,9\right)$$

Answer

$$\left(3,-6\right)$$

Answer

$$\left(4,3\right)$$

Answer

$$\left(5,2\right)$$

Question 53

Solve the system by the elimination method.

Accepted Answer

$$\left(5,-4\right)$$

Answer

$$\left(6,-2\right)$$

Answer

$$\left(3,2\right)$$

Answer

$$\left(-4,2\right)$$

CW- Solving Systems of Equations Practice

57 questions

If a system of equations has no solution, what does the graph look like?

Solve using the most efficient method for this system.
-2y = -x + 2
3x + 4y = 3

Solve the system of equations using the method that is most efficient for this system.
y = -4x + 5
y = 3x - 16

Solve the system of equations by using the most efficient method for this system.
4x + y = 5
-3x + y = - 16

Solve by using the most efficient method for this system:
4x+9y=28
-4x-y=-28

Solve by elimination:
7x - 9y = 29
2y + 7x = -15

Solve by elimination:
7x+y=-9
-3x-y-5= 0

What is the solution?

solve by substitution:
y - 14=3x
y=-4x

The solution of a system of linear equations is...

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CW- Solving Systems of Equations Practice

57 questions

If a system of equations has no solution, what does the graph look like?

Solve using the most efficient method for this system. -2y = -x + 23x + 4y = 3

Solve the system of equations using the method that is most efficient for this system. y = -4x + 5 y = 3x - 16

Solve the system of equations by using the most efficient method for this system. 4x + y = 5 -3x + y = - 16

Solve by using the most efficient method for this system: 4x+9y=28 -4x-y=-28

Solve by elimination: 7x - 9y = 292y + 7x = -15

Solve by elimination: 7x+y=-9-3x-y-5= 0

What is the solution?

solve by substitution: y - 14=3xy=-4x

The solution of a system of linear equations is...

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Solve using the most efficient method for this system.
-2y = -x + 2
3x + 4y = 3

Solve the system of equations using the method that is most efficient for this system.
y = -4x + 5
y = 3x - 16

Solve the system of equations by using the most efficient method for this system.
4x + y = 5
-3x + y = - 16

Solve by using the most efficient method for this system:
4x+9y=28
-4x-y=-28

Solve by elimination:
7x - 9y = 29
2y + 7x = -15

Solve by elimination:
7x+y=-9
-3x-y-5= 0

solve by substitution:
y - 14=3x
y=-4x