Free Printable Substitution/elimination/graph method

1.

Solve using Elimination Method:

4x+ 9y = 28

-4x -y = -28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

e)

(6,7)

2.

Solve the system:

x + 6y = 17

-x + 3y = -8

a)

(5, 2)

b)

(11, 1)

c)

(1, 11)

d)

no solution

3.

Solve the system by elimination.

−4x − 4y = 0

4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

No Solution

d)

(6, 4)

e)

(0,0)

4.

The solution (answer) to a system of equations is ____________

a)

the point where the 2 lines intersect

b)

the graph of a line

c)

only finding what x = __

5.

Solve for x

Hint: Solve using Elimination Method:

a)

1/2

b)

1

c)

-1

d)

-1/2

6.

solve the system

a)

No solution

b)

infinite solutions

c)

(0,0)

d)

(5,1)

e)

(5,0)

7.

y = -6
-3x - 6y = 24

a)

(6, 6)

b)

(6, -6)

c)

(4, -6)

d)

(-6, 4)

8.

Solve using Substitution

a)

(3,8)

b)

(8,3)

c)

(0,2)

d)

(2,0)

9.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

10.

This system has _____ solutions

a)

No

b)

1

c)

2

d)

Infinitely many

11.

How many solutions will this system have?

a)

No Solution

b)

Infinitely Many Solutions

c)

No Clue

d)

One solution

12.

The first step in solving using the substitution method is __________.

a)

get x by itself

b)

get y by itself

c)

get either variable by itself in one equation

d)

add the equations together

13.

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

a)

(-4, -2)

b)

(12, -34)

c)

(4, -18)

d)

(-2, -6)

14.

solve by substitution: y=3x+14

y=-4x

a)

(2, 8)

b)

(-2, -6)

c)

(-2, 8)

d)

(-2, -4)

15.

x = y - 2
4x + y = 2

a)

(2,0)

b)

(0,2)

c)

(0, -2)

d)

(-2,0)

16.

Solve the system of equations using substitution:

y = 7x + 7

2y + 2x = -18

a)

(5, 0)

b)

(9, 18)

c)

(-2, -7)

d)

(1, 16)

17.

Solve the system by substitution method

x = 3

2x + 5y = 16

a)

(3,2)

b)

(3, 0)

c)

(2, 5)

d)

(2,10)

18.

Use substitution to solve the system.
2x - 3y = -2
y = 2

a)

(-2, 2)

b)

(2, -2)

c)

(2, 2)

d)

(2, 8)

19.

y = -6
-3x - 6y = 24

a)

(6, 6)

b)

(6, -6)

c)

(4, -6)

d)

(-6, 4)

20.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

21.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

22.

Steffen 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)

23.

Solve.

-8 + (-10) =

a)

18

b)

-18

c)

2

d)

-2

24.

Solve.

-9 + (-4) =

a)

-13

b)

5

c)

-5

d)

13

25.

Solve.

-11 + (-11) =

a)

-22

b)

22

c)

0

d)

12

26.

Solve.

-19 + (-10) =

a)

-29

b)

29

c)

-9

d)

9

27.

Solve.

-10 + (-10) =

a)

0

b)

20

c)

100

d)

-20

28.

Solve.

-5 + (-5) =

a)

-10

b)

10

c)

0

d)

25

29.

Simplify: -4 + 9

a)

5

b)

-5

c)

13

d)

-13

30.

What is -4 + 3

(a)

31.

Add (-9) and (-1)

a)

-9

b)

+10

c)

-8

d)

-10

32.

Savaya has $50 in her bank account. She buys AirPods for $150. How much money does she owe?

a)

$100

b)

$200

c)

150

d)

250

33.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

34.

Which of the graphs represents the linear inequality $y\le-x-4$ ?

a)

b)

c)

d)

35.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x-5$

b)

$y\ge\frac{1}{3}x-5$

c)

$y\le-\frac{1}{3}x-5$

d)

$y>\frac{1}{3}x+5$

36.

Which of the following linear inequalities represents the graph?

a)

$y\ge3$

b)

$x\ge3$

c)

$y\le3$

d)

$y<3$

37.

Which of the following linear inequalities represents the graph?

a)

$x\ge2$

b)

$x\ge-2$

c)

$y\ge-2$

d)

$y>-2$

38.

Which of the following linear inequalities represents the graph?

a)

$y\ge3x$

b)

$y>3x$

c)

$y<3x$

d)

$y>\frac{1}{3}x$

39.

Which of the following linear inequalities represents the graph?

a)

$y\ge\frac{1}{4}x$

b)

$y\le4x-2$

c)

$y<\frac{1}{4}x+2$

d)

$y\le\frac{1}{4}x+2$

40.

Which of the following linear inequalities represents the graph?

a)

$y>-\frac{4}{5}x-1$

b)

$y\le\frac{4}{5}x+1$

c)

$y<-\frac{4}{5}x-1$

d)

$y\le-\frac{4}{5}x+1$

41.

When graphing a linear inequality, < and > signs would require you to draw...

a)

a solid line

b)

a dotted line

42.

When graphing a linear inequality, $\le$ and $\ge$ signs would require you to draw...

a)

a solid line

b)

a dotted line

43.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

44.

Will my line be solid?
5 ≥ x

a)

Yes

b)

No

45.

Which of the following is a solution to the systems of inequalities?

a)

(0, 0)

b)

(-3, 0)

c)

(2, -5)

d)

(3, -1)

46.

Which of the following is NOT a solution to the systems of inequalities?

a)

(0, 0)

b)

(3, -2)

c)

(3, -4)

d)

(4, -4)

47.

How can I tell if the graph of an inequality will have a solid line?

a)

It has just an equal sign.

b)

The symbol is greater than.

c)

The symbol has "or equal to."

d)

You just guess.

48.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

49.

Which of the following equations match the given graph?

a)

y < 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y ≤ 2/5x + 1

d)

y ≥ -2/5x - 1

50.

Choose the correct inequality for this graph.

a)

b)

c)

d)

51.

Consider the function y < 2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

The line would be dashed with shading below.

52.

a)

y < -3/4x - 2

b)

y > -3/4x - 2

c)

y ≤ -3/4x - 2

d)

y ≥ -3/4x - 2

53.

a)

y < -2/5x - 4

b)

y > -2/5x - 4

c)

y ≤ -2/5x - 4

d)

y ≥ -2/5x - 4

54.

a)

y < 5x + 1

b)

y > 5x + 1

c)

y ≤ 5x + 1

d)

y ≥ 5x + 1

55.

a)

y < 3/5x - 5

b)

y > 3/5x - 5

c)

y ≤ 3/5x - 5

d)

y ≥ 3/5x - 5

56.

Which of the following is a solution to the systems of inequalities?

a)

(0, 0)

b)

(-3, 0)

c)

(2, -5)

d)

(3, -1)

57.

Which of the following is a solution to the systems of inequalities?

a)

(0, -2)

b)

(-3, 0)

c)

(-3, 2)

d)

(1, 1)

58.

Solve 4n - 2n = 4.

a)

2

b)

4

c)

6

d)

8

59.

Solve 3 = x + 3 - 5x.

a)

x = -6

b)

x = 0

c)

x = -1

d)

x = 6

60.

What is the solution to the equation 3(2x - 5) = x + 10?

a)

9

b)

6

c)

8

d)

5

61.

Solve the equation -3(1 + 6x) = 14 - x.

a)

x = 1

b)

x = -1

c)

No solution

d)

All real numbers

62.

Solve the equation 2(5x - 2) = 8x.

a)

-2

b)

1

c)

2

d)

-1

63.

What is the solution to the equation 3(5x + 4) - 20 = 13x - 4?

a)

2

b)

8

c)

-2

d)

4

64.

Solve the equation $\frac{x}{3}-\ 4\ =\ 5$ .

a)

19

b)

27

c)

11

d)

15

Substitution/elimination/graph method

Total questions: 64

Worksheet time: 5hrs 20mins

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