Free Printable B2A2 4.1 - 4.3 Solving Systems by Graphing, Sub, Elim & Special

1.

These two lines intersect at _____.

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

2.

The solution is:

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

3.

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

a)

(-1, 4)

b)

(1, -4)

c)

(-4, 1)

d)

(4, -1)

4.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

5.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

6.

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

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

7.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

8.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

9.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

10.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

11.

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

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

12.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

13.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(1, -3)

14.

Where do these two lines intersect?

a)

No solution

b)

(-2, 3)

c)

(3, -2)

d)

(2, 3)

15.

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

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

16.

a)

Infinite number of solutions

b)

(0, 7)

c)

(-5, -7)

d)

(5, 7)

17.

a)

No Solution

b)

(2, 2)

c)

(-1, 2)

d)

(-1, -2)

18.

a)

(3, -6)

b)

(3, -8)

c)

Infinite number of solutions

d)

(3, 6)

19.

a)

(4, -3)

b)

(-1, -3)

c)

(-4, -3)

d)

(-4, 3)

20.

a)

(-1, 3)

b)

(0, -3)

c)

(1, 3)

d)

(1, -3)

21.

a)

(-1, -6)

b)

(-6, 1)

c)

(-3, -6)

d)

(1, -6)

22.

a)

(2, -3)

b)

(-3, -2)

c)

(6, 4)

d)

(2, 3)

23.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

24.

a)

(-3, -8)

b)

(-8, 3)

c)

(2, 3)

d)

(-8, -6)

25.

a)

(2, -3)

b)

(3, 2)

c)

(-3, -2)

d)

(-2, -3)

26.

a)

(6, -6)

b)

(-6, -6)

c)

(6, -8)

d)

(-3, -6)

27.

a)

(5, -3)

b)

(3, 5)

c)

(-5, -3)

d)

(-3, -5)

28.

a)

(-8, -5)

b)

No Solution

c)

Infinite number of solutions

d)

(-8, 5)

29.

a)

Infinite number of solutions

b)

(7, 5)

c)

(-1, 5)

d)

No Solution

30.

a)

(-1, -4)

b)

(-4, -4)

c)

(4, -4)

d)

(4, 4)

31.

3x-2y=12

2x+2y=-2

What variable will eliminate in the system?

a)

x

b)

y

c)

both

d)

neither

32.

$3x+y=-15$
$-3x-4y=30$
Which variable will eliminate in the system?

a)

x

b)

y

c)

both

d)

neither

33.

$7x+5y=-12$
$10x+5y=5$
What does the second equation need to be multiplied by to get the y's to eliminate?

a)

5

b)

0

c)

-1

d)

2

34.

$-8x+y=20$
$4x-3y=5$
What does the second equation need multiplied by so that the x's will eliminate?

a)

2

b)

-1

c)

4

d)

0

35.

What would be the equation for the next step in solving the system? (combine the equations)
$2x-y=-15$
$-2x-4y=30$

a)

$-3y=-45$

b)

$-5y=-45$

c)

$3y=15$

d)

$-5y=15$

36.

What is the equation for the next step in solving the system?
$5x-4y=-16$
$5x+4y=-14$

a)

$10x=-30$

b)

$5x=-30$

c)

$10x=-2$

d)

$x=-30$

37.

Solve for x:

$\ x-y=-19$
$5x+y\ =\ 1$

a)

$x=-4$

b)

$x=-3$

c)

$x=5$

d)

$x=6$

38.

Solve for y:

$-6x+5y=1$
$6x+4y=-10$

a)

$y=1$

b)

$y=-9$

c)

$y=-1$

d)

$y=9$

39.

Solve the system by elimination:
$x+y=6$
$6x-y=1$

a)

(3, 3)

b)

(1, 5)

c)

(1, 3)

d)

(7, -1)

40.

Solve the system by elimination:
$2x+8y=-24$
$-2x-3y=14$

a)

(-4, -2)

b)

(2, 5)

c)

(10, 2)

d)

(-8, -1)

41.

Solve the system by elimination:
$7x-y=10$
$-7x+y=-14$

a)

(0, -4)

b)

(2, 4)

c)

No solution

d)

(2, 0)

42.

Solve:

5x + 4 = 5x − 3

a)

x = 4

b)

x = -3

c)

infinitely many solutions

d)

no solutions

43.

Solve:

2y − 3 = 2y − 3

a)

y = 0

b)

y = -3

c)

infinitely many solutions

d)

no solutions

44.

Solve:

4x + 1 = 8x − 3

a)

x = 1

b)

x = 2

c)

infinitely many solutions

d)

no solutions

45.

Solve:

3(x − 2) = 3x − 6

a)

x = 6

b)

x = -6

c)

infinitely many solutions

d)

no solutions

46.

Solve:

6(y + 4) = 6y + 10

a)

y = 10

b)

y = 24

c)

infinitely many solutions

d)

no solutions

47.

Solve:

10x + 3 + 3x = 5x + 1 + 8x + 2

a)

x = -3

b)

x = 3

c)

infinitely many solutions

d)

no solutions

48.

Solve:

9x + 7 − 5x = 4x − 7

a)

x = 7

b)

x = -7

c)

infinitely many solutions

d)

no solutions

49.

What does it mean when an equation has infinitely many solutions?

a)

"To infinity and beyond"

b)

the equation is always TRUE when any value is substituted in for the variable

c)

the equation will NEVER be true when any value is substituted in for the variable

d)

only ONE solution will make the equation true

50.

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

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

51.

Use Substitution to determine if this system has a solution or not.

8x+4y=12\ \ \ and\ \ \ \ y\ =\ -2x+3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

52.

What is the solution to this system of equations?

a)

Infinite Solutions

b)

One Solution

c)

No Solution

d)

(0, 0)

53.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

54.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

55.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

56.

Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

(−6, 10)

d)

(6, 4)

57.

Use Elimination method to solve this system

-4x - 2y = -12

4x + 8y = -24

a)

(6,-6)

b)

(-6,6)

c)

(6,6)

d)

(-6,-6)

B2A2 4.1 - 4.3 Solving Systems by Graphing, Sub, Elim & Special

Total questions: 57

Worksheet time: 5hrs 6mins

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