Free Printable Solving Systems Algebraically

1.

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

2.

How many solutions does the graph have?

a)

One solution

b)

No solution

c)

Infinite solutions

3.

How many solutions does the graph have?

a)

One solution

b)

No solution

c)

Infinite solutions

4.

How many solutions does the graph have?

a)

One solution

b)

No solution

c)

Infinite solutions

5.

Solve the following systems of equations using substitution:

5x - 2y = 3

y = 2x

a)

(6, 3)

b)

(1, 2)

c)

(3, 6)

d)

(2, 1)

6.

Solve the following systems of equations using substitution:

y = 3 - x

3y + x = 5

a)

No solution

b)

(1, 2)

c)

(3, 0)

d)

(2, 1)

7.

What does
"solution to a system of equations"
mean?

a)

It's the point where both equations equal zero

b)

It's the point where graphs of both equations cross the y-axis

c)

It's the point that solves both equations at the same time

d)

It's the point where graphs of both equations cross the x-axis

8.

Solve the system of equations.

a)

(-34, -17)

b)

(8, 4)

c)

(10, 20)

d)

No solution

e)

Infinite solutions

9.

Solve the system of equations.

a)

(-6, 1)

b)

(-12, -12)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

10.

Give the solution to the system

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

a hoppy hippo

11.

Solve:
y=8x+1
y=6x+3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(2, 4)

12.

What is the solution to this system?
2x + 3y = 4
y= 5x - 27

a)

(5,-2)

b)

(5, 2)

c)

(2,3)

d)

(3,2)

13.

Which answer has a correct first step for this system:

3x + 3y = 3

y = 3x + 5

a)

The variable is already isolated, so we've already solved the system.

b)

The variable is already isolated for y, so we substitute it in the first equation and solve for x

3x + 3(3x + 5) = 3

c)

Free sha vaca doo

d)

The variable is already isolated for y, so we substitute it in the second equation and solve for x

y = 3(3x + 3y) = 3

14.

Solve this system using substitution

y = 3x - 5

2x + 4y = -6

a)

(1, -2)

b)

(2, -2)

c)

(1, 2)

d)

Why have you done this?

15.

Solve with substitution

x = -3y - 8

x - 2y = -3

a)

(5, -1)

b)

(-5, 1)

c)

(-5,-1)

d)

(1,-5)

16.

Solve the following system:

y=6x-11

-2x-3y=-7

a)

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

b)

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

c)

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

d)

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

17.

Solve the following system:

2x-y=-1

y=x-1

a)

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

b)

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

c)

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

d)

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

18.

Solve the following system:

y=-3x+5

5x-4y=-3

a)

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

b)

$\left(1,\ 5\right)$

c)

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

d)

$\left(5,\ 1\right)$

19.

Solve the following system:

$-3x-3y=3$
$y=-5x-17$

a)

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

b)

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

c)

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

d)

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

20.

Solve the following system:

y=-2

4x-3y=18

a)

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

b)

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

c)

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

d)

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

21.

Solve the following system:

y=5x-7

-3x-2y=-12

a)

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

b)

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

c)

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

d)

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

22.

Solve the following system:

y=4x+6

-5x-y=21

a)

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

b)

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

c)

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

d)

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

23.

Solve the following system:

-7x-2y=-13

x=2y+11

a)

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

b)

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

c)

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

d)

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

24.

Solve the following system:

y=5x-2

-3x+6y=-12

a)

$\left(0,\ -2\right)$

b)

$\left(0,\ 2\right)$

c)

$\left(-2,\ 0\right)$

d)

$\left(2,\ 0\right)$

25.

Solve the following system:

y=5x-3

3x-8y=24

a)

$\left(0,\ -3\right)$

b)

$\left(0,\ 3\right)$

c)

$\left(-3,\ 0\right)$

d)

$\left(3,\ 0\right)$

26.

y = -2x + 18
y = 8

a)

(5, 8)

b)

(-5, 8)

c)

(2, 8)

d)

(-2, 8)

27.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

28.

Solve this system of equations.
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

29.

Solve for x and y
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

30.

What is the solution to the system of equations?
y = 3x - 8
y = 4 - x

a)

(3,1)

b)

(1,3)

c)

(-3,1)

d)

(3,-1)

31.

What is the first step in solving a system by Substitution?

a)

Make sure both equations are in standard form.

b)

Make sure at least one equation is solved for one variable.

c)

Make sure both equations are in slope-intercept form.

d)

Make sure both equations can be solved.

32.

Solve this system of equations.
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

33.

y = -2x + 5
y = 2x - 11

a)

No Solution

b)

(0, 0)

c)

(3, -1)

d)

(4, -3)

34.

Solve the system by substitution.

5x + 4y= −14
y = −7x − 15

a)

(-2, -1)

b)

(1, -2)

c)

(-2, 1)

d)

(-1, -2)

35.

Solve:
y = 2x -11
-3y = -6x -15

a)

(-1.5,-4)

b)

(1.5,4)

c)

No solution (parallel lines)

d)

Infinitely many solutions

36.

x + 2y = 2
x = -4y + 2

a)

(-3, 0)

b)

(0, 2)

c)

(-3, -2)

d)

(2, 0)

37.

x - 3y = -13
4x + 2y = 4

a)

(1, 4)

b)

(-1, -4)

c)

(-1, 4)

d)

(1, -4)

38.

y = -6x + 5
-2x + y = 5

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

39.

y = -3x + 11
y = -6x - 13

a)

(-8, 35)

b)

(8, -13)

c)

(1, 8)

d)

(2, 13)

40.

y = -2x + 5
y = 2x - 11

a)

No Solution

b)

(0, 0)

c)

(3, -1)

d)

(4, -3)

41.

Solve for x and y
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

42.

Solve the system of equations:

a)

( -2, 4, 3)

b)

( 2, 1, 6)

c)

No solution

d)

None of these

43.

Solve the system of equations:

a)

( -2, 3, -3)

b)

None of these

c)

( -2, -3, 3)

d)

( -3, 3, -2)

44.

The school that Laura goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets, 2 adult tickets and 5 child tickets for a total of $55. The school took in $67 on the second day by selling 7 senior citizen tickets, 2 adult tickets and 5 child tickets. On the third day the show earned $46 when they sold 2 senior citizen tickets, 4 adult tickets and 2 child tickets. What is the price each of one senior citizen ticket, one adult ticket and one child ticket?

a)

Adult: $12

Child: $8

Senior: $8

b)

Adult: $6

Child: $4

Senior: $5

c)

Adult: $7

Child: $5

Senior: $4

d)

None of the above.

45.

Solve the system of equations:

a)

( 5, 1, -4)

b)

(-5, 3, -1)

c)

None of these

d)

( -1, 5, -4)

46.

Solve the system of equations:
x + y + z = 4
x = -2y
z = -3y

a)

(2, -1, 3)

b)

(2, 3, 1)

c)

None of these

d)

(4, 1, -1)

47.

3) Solve the system of linear equations.

a)

(3, 1, -5)

b)

(-3, 1, -1)

c)

no solution

d)

infinitely many solutions

48.

Solve the system of equations:
$2x-3y=3z-7$
$4z-2x+3y=12$
$4y+2z-3x=0$

a)

(2, 4, 5)

b)

(-2,-4, 5)

c)

(-2, 4, -4)

d)

None of these

49.

Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300.

If her sales go as usual, she will have to sell (a) small photos to pay for the booth.

50.

Sam has a total of 17 bikes, unicycles, and skateboards. A bike has 2 wheels, a skateboard has 4 wheels, a unicycle has one wheel and she has a total of 42 wheels. There are just as many bikes as unicycles and skateboards together. Which system models this scenario?

a)

B + U + S = 42

2B + U + 4S = 17

B = U + S

b)

B + U + S = 17

2B + U + 4S = 42

B = U + S

c)

B + U + S = 17

2B + U + 4S = 42

B = U*S

51.

Uncle Freddy rented a total of 12 movies and games. A movie rents for $3 and a game rents for $4.50, for a total of $42. There are 3 times as many movies than games. Which system models this scenario?

a)

3M + 4.50G = 42

M + G = 12

M = 3G

b)

3M + 4.50G = 12

M + G = 42

3M = G

c)

M + G = 12

4.50M + 3G = 42

3M = G

52.

Solve:

a)

$\left(5,-1,3\right)$

b)

$\left(-1,5,3\right)$

c)

$\left(3,5,-1\right)$

d)

$\left(3,1,-5\right)$

53.

Solve:

a)

$\left(5,4,-2\right)$

b)

$\left(5,3,4\right)$

c)

$\left(4,3,5\right)$

d)

$\left(-1,2,4\right)$

54.

Solve:

a)

$\left(1,-3,5\right)$

b)

$\left(1,-4,3\right)$

c)

$\left(-4,1,3\right)$

d)

$\left(-4,3,1\right)$

55.

Solve:

a)

$\left(0,-3,2\right)$

b)

$\left(0,2,-3\right)$

c)

$\left(0,3,-2\right)$

d)

$\left(3,0,-2\right)$

56.

Solve:

a)

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

b)

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

c)

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

d)

$\left(3,-4,0\right)$

57.

Solve using Matrices.

a)

b)

c)

58.

Write the system of equations to solve this problem.

a)

$8x+3y=57$

$5x+4y=39$

b)

$3x+8y=57$

$5x+4y=39$

59.

What matrix can be used to solve the previous problem?

a)

b)

c)

60.

Use Matrices to solve the previous system.

a)

b)

c)

61.

Solve using a system of equations and matrices.

a)

rose = 4

shrub = 59

b)

rose = 3

shrub = 10

62.

Solve.

a)

(-2, 6, -2)

b)

$\left(\frac{6}{7},\ 2,\ \frac{22}{7}\right)$

63.

Solve the following using elimination.
x-y=11
2x+y=19

a)

(10,-1)

b)

(-1,10)

c)

(-1,-10)

d)

(-10,-1)

64.

Solve the following using elimination.
-4x-2y=-12
4x+8y=-24

a)

(6,-6)

b)

(-6,6)

c)

(6,6)

d)

(-6,-6)

65.

Solve the following using elimination.
4x + 8y = 20
−4x + 2y = −30

a)

(-1, 7)

b)

(-7, 1)

c)

(7, -1)

d)

(1, -7)

66.

Solve the following using elimination.
x − y = 11
2x + y = 19

a)

(-1, 10)

b)

(30, 19)

c)

(19, 30)

d)

(10, -1)

67.

Solve the following using elimination.
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

68.

Solve the following using elimination.
-9x-4y=-20
5x+4y=4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

69.

Solve the following using elimination.
7x+y=-9
-3x-y=5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

70.

Solve the following using elimination.
4x+4y=4
3x+4y=10

a)

(7,-6)

b)

(-6,7)

c)

(6,7)

d)

(7,6)

71.

Solve the following using elimination.
7x-9y=29
7x+2y=-15

a)

(-4,-1)

b)

(-1.-4)

c)

(-1,4)

d)

(-1,6)

72.

Solve by elimination:

7x+y=-9

-3x-y=5

a)

No solution

b)

(-1,8)

c)

(-2,-3)

d)

(-1,-2)

73.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

74.

Solve by elimination:
3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

75.

Solve by elimination:
-9x-4y=-20

5x+4y=4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

76.

Solve by elimination:
7x+y=-9

-3x-y=5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

77.

Solve by elimination:
4x+4y=4

3x+4y=10

a)

(7,-6)

b)

(-6,7)

c)

(6,7)

d)

(7,6)

78.

Solve by elimination:
-x+2y=17

2x+2y=-10

a)

ARN

b)

(-9,4)

c)

(-9,-4)

d)

(9,-4)

79.

Solve by elimination:
7x-9y=29

7x+2y=-15

a)

(-4,-1)

b)

(-1.-4)

c)

(-1,4)

d)

(-1,6)

80.

Solve by elimination:
9x-4y=7

x-4y=-17

a)

(-1,5)

b)

(-7,5)

c)

(7,5)

d)

(3,5)

81.

Solve by elimination
-12x-10y= 0
6x+5y= -1

a)

infinite solutions

b)

(0,0)

c)

no solution

d)

(2,1)

82.

Solve by elimination
4x-6y= -6
-2x-12y= -12

a)

(0,1)

b)

(1,0)

c)

(1,1)

d)

(2,1)

83.

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

a)

(-1, -1)

b)

(2,-1)

c)

(1,1)

d)

(1,-1)

84.

Solve by elimination
-6x+y= -2
-3x-6y= 12

a)

(2,0)

b)

no solution

c)

(0,-2)

d)

infinite solutions

85.

Solve the system using Multiplication.
2x + 3y = 12
5x - y = 13

a)

x = -3, y = -2

b)

x = 1.5, y = 2

c)

x = 6, y = 0

d)

x = 3, y = 2

86.

Solve the system by multiplication.
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

87.

Solve the system by multiplication:
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

88.

Solve the system of equations by multiplication.
y = 8x + 12
-5x +4y = 21

a)

(1, -4)

b)

(1, 20)

c)

(-1, 20)

d)

(-1, 4)

89.

Solve the system by multiplication.
2x + 10y = -20
-x + 4y = 28

a)

(-20,2)

b)

(1,4)

c)

(2,-20)

d)

(-2,2)

90.

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

a)

TRUE

b)

FALSE

91.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

92.

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.

93.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

94.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

95.

You can solve systems using these methods:

a)

graphing, substitution, and elimination

b)

rearranging, thinking, and guessing

c)

only by graphing

96.

Solve this system by substitution.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

97.

The solution (x, y) to a system of equations is the point where they...?

a)

Run off the graph

b)

Don't touch

c)

Intersect

d)

Exist

98.

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

a)

X because they have opposite signs

b)

Y because they have opposite signs

99.

What variable do you eliminate, and what do you multiply the equation(s) by?

5x + y = 9

10x − 7y = −18

a)

You eliminate x, and multiply the top equation by 11

b)

You eliminate y, and multiply the top equation by 7

100.

Solve the system given:
3x - y = 7
2x + y = 3

a)

(-1,2)

b)

(5,4)

c)

(4,5)

d)

(2,-1)

101.

Solve using elimination.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

(−6, 10)

d)

(6, 4)

102.

Solve using elimination.
-4x - 6y = 6
4x + 6y = -4

a)

no solution

b)

(2,0)

c)

(-4,0)

d)

(0,0)

103.

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

104.

If the solution is infinitely many the lines will ________?

a)

intersect at exactly one point

b)

be parallel

c)

overlap each other

d)

never exist

105.

Solve the following system:

y=-2

4x-3y=18

a)

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

b)

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

c)

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

d)

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

106.

Solve the following system using any method.

y = 2/3x - 2

y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

107.

Solve the following system using any method.

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

108.

Solve the following system using any method.

y = 2x + 1

y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

109.

2x-y=4

y=-2x+8.

What is the value of x in the solution for this system?

a)

x=8

b)

x=3

c)

x=11

d)

x=5

110.

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

111.

What is the value of the y-coordinate of the solution to the system of equations
x-2y=1
x+4y=7

a)

1

b)

-1

c)

3

d)

4

112.

Solve:
y=8x+1
y=6x+3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(2, 4)

113.

A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. Which system of equations could be used to find the number of toppings when both companies cost the same amount?

a)

y = 6.80 + .65x
y=7.30+.90x

b)

x + y = 6.80
x + y = 7.30

c)

y = 6.80+.90x
y = 7.30 + .65x

d)

y + .90x = 6.80
y + .65x = 7.30

114.

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount?

a)

y = 9.65 + x
y = 8.40 + x

b)

y = 9.65x + 43
y = 8.40x + 58

c)

y =9.65x
y = 8.40x

d)

y = 9.65x - 43
y = 8.40x - 58

115.

Solve the following system using any method.

y=-x+4

y=2x+4

a)

(0,4)

b)

(2,4)

c)

(-1,3)

d)

(4,0)

116.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

117.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(1, -3)

118.

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

119.

Solve for x and y
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

120.

Solve the following system:
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

121.

Which of the following represents the first step in solving:

y = x² + 3x - 5

y = x + 3

a)

x² - 3x + 5 = x - 3

b)

x² + 3x - 5 = x + 3

c)

x² + 3x - 5 + x + 3 = 0

d)

x² + 3x - 5 = 0

122.

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

a)

(-4, 2) and (-1, 5)

b)

(-4, -1) and (2, 5)

c)

(2, -1 and (-4, 5)

d)

(-4, 1) and (2, -1)

123.

Add

a)

11 8

-4 2

b)

3 2

-6 -6

c)

-3 2

-4 -6

d)

10 8

-6 2

124.

Find A-B

a)

-3 1
7 -1

b)

1 0
1 -4

c)

-4 0
6 -1

d)

not possible because rows do not match columns

125.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

126.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

127.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

128.

BA=

a)

Undefined

b)

c)

d)

129.

Which of these matrices are in row echelon form?

a)

(a) only

b)

(b) only

c)

(a) and (d)

d)

(a) , (b), and (d)

130.

The augmented matrix shown in row-echelon form indicates a system with

a)

one solution

b)

no solution

c)

infinitely many solutions

131.

The augmented matrix shown in row-echelon form indicates a system with

a)

one solution

b)

no solution

c)

infinitely many solutions

132.

a)

A

b)

B

c)

C

d)

D

133.

a)

A

b)

B

c)

C

d)

D

134.

What is the determinant of this matrix?

a)

-2

b)

2

c)

10

d)

24

135.

What is the determinant of this matrix?

a)

0

b)

24

c)

-24

d)

-12

136.

What is the first step in solving
3x + 2y = 8
-3x + 6y = 12

a)

Add the equations

b)

Subtract the equations

c)

Multiply by 4

137.

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

a)

(1,1)

b)

(-1,-1)

c)

(-1, -4)

138.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

139.

Solve by elimination:
4x+4y=4

3x+4y=10

a)

(7,-6)

b)

(-6,7)

c)

(6,7)

d)

(7,6)

140.

-2x-9y=-25
-4x-9y=-23

a)

(-1,3)

b)

(3,-1)

c)

(8,-1)

141.

Solve the system of equations.

a)

(-6, 1)

b)

(-12, -12)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

142.

What is the solution to this system?
2x + 3y = 4
y= 5x - 27

a)

(5,-2)

b)

(5, 2)

c)

(2,3)

d)

(3,2)

143.

Which answer has a correct first step for this system:

3x + 3y = 3

y = 3x + 5

a)

The variable is already isolated, so we've already solved the system.

b)

The variable is already isolated for y, so we substitute it in the first equation and solve for x

3x + 3(3x + 5) = 3

c)

Free sha vaca doo

d)

The variable is already isolated for y, so we substitute it in the second equation and solve for x

y = 3(3x + 3y) = 3

144.

Solve using substitution.

a)

(1,3)

b)

(3,-1)

c)

(7,3)

145.

Solve using elimination.

a)

(4,5)

b)

(3,4)

c)

(5,4)

146.

Solve using the most efficient method.

a)

(2,1)

b)

(1,-2)

c)

(2,-1)

147.

Solve using your preferred method.

a)

(3,7)

b)

(5,7)

c)

(6,6)

148.

Solve using the most efficient method.

a)

(3,4)

b)

(4,12)

c)

(14,17)

149.

Solve using your preferred method

a)

(14,10)

b)

(2,10)

c)

(4,14)

150.

Solve using the most efficient method.

a)

(9,11)

b)

(-2,3)

c)

(3,-2)

151.

Solve using the most efficient method.

a)

(7,-9)

b)

(9,7)

c)

(1,7)

152.

Solve using the most efficient method.

a)

(-6,5)

b)

(5,-6)

c)

(4,-6)

153.

Solve using your preferred method.

a)

(6,1)

b)

(-1,9)

c)

(-7,13)

154.

Solve using your preferred method.

a)

(2,-4)

b)

(-2,-4)

c)

(-2,4)

155.

Solve using the most efficient method.

a)

(4,-6)

b)

(2,10)

c)

(4,2)

Solving Systems Algebraically

Total questions: 155

Worksheet time: 12hrs 51mins

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