Free Printable 2nd 9 Week Test

1.

One equation is already isolated. Which choice shows the correct substitution?

2x − 3y = −1

y = x − 1

a)

2x − 3(x − 1) = −1

b)

2(x - 1) - 3y = -1

c)

2x − 3y = x − 1

d)

y = 2x - 3y

2.

Solve for x:

2x - 3(x - 1) = -1

a)

x = -4

b)

x = 2

c)

x = -2

d)

x = 4

3.

If x = 4, solve for y:

2x - 3y = -1

y = x - 1

a)

y = 3

b)

y = 5

c)

y = -3

d)

y = -5

4.

Since x = 4 and y = 3, the solution is:

a)

(3, 4)

b)

(4, 3)

5.

What does a One Solution system look like on a graph?

a)

b)

c)

6.

How many solutions does this system of equations have?

a)

No solution

b)

One Solution

c)

Infinite Solutions

7.

How many solutions does this system of equations have?

a)

No solution

b)

One solution

c)

Infinite solutions

8.

a)

Infinite number of solutions

b)

(0, 7)

c)

(-5, -7)

d)

(5, 7)

9.

a)

(3, -6)

b)

(3, -8)

c)

Infinite number of solutions

d)

(3, 6)

10.

a)

(4, -3)

b)

(-1, -3)

c)

(-4, -3)

d)

(-4, 3)

11.

a)

Infinite number of solutions

b)

(7, 5)

c)

(-1, 5)

d)

No Solution

12.

a)

(-1, -4)

b)

(-4, -4)

c)

(4, -4)

d)

(4, 4)

13.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

14.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

15.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

16.

Which of the following shows the solution to the system?

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

$y=2x+2$

a)

A

b)

B

c)

C

d)

D

17.

y = -2x + 18
y = 8

a)

(5, 8)

b)

(-5, 8)

c)

(2, 8)

d)

(-2, 8)

18.

Solve the system by substitution.

5x + 4y= −14
y = −7x − 15

a)

(-2, -1)

b)

(1, -2)

c)

(-2, 1)

d)

(-1, -2)

19.

Solve using substitution:
$y=8x+1$
$y=6x+3$

a)

$\left(1,9\right)$

b)

$\left(4,14\right)$

c)

$\left(0,1\right)$

d)

$\left(2,4\right)$

20.

Solve using substitution:

y=-1x-5

4x-8y=4

a)

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

b)

$\left(5,-7\right)$

c)

$\left(3,9\right)$

d)

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

21.

Solve using substitution:

$y=7x+9$
$4x+2y=-18$

a)

$\left(5,0\right)$

b)

$\left(9,18\right)$

c)

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

d)

$\left(1,16\right)$

22.

Solve the system of equations.
$-4x-8y=40$

$y=-4$

a)

$\left(-23,4\right)$

b)

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

c)

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

d)

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

23.

Solve the system of equations.

x=11

-4x+y=-23

a)

$\left(11,21\right)$

b)

$\left(3,11\right)$

c)

$\left(11,-67\right)$

d)

$\left(21,11\right)$

24.

Solve the system of equations.
$-3x+5y=17$

$x=2y$

a)

$\left(-34,-17\right)$

b)

$\left(8,4\right)$

c)

$\left(10,20\right)$

d)

$\left(-17,-34\right)$

25.

How many solutions does the graph have?

a)

One solution

b)

No solution

c)

Infinite solutions

26.

How many solutions does the graph have?

a)

One solution

b)

No solution

c)

Infinite solutions

27.

How many solutions does the graph have?

a)

One solution

b)

No solution

c)

Infinite solutions

28.

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

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(2, 4)

29.

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

30.

Solve with substitution

x = -3y - 8

x - 2y = -3

a)

(5, -1)

b)

(-5, 1)

c)

(-5,-1)

d)

(1,-5)

31.

Which answer has a correct first step for solving this system without graphing:

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

32.

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)

33.

Solve the system:
3x + y = 19
2x - y = 6

a)

(5, 14)

b)

(4, 5)

c)

(5, 4)

d)

(14, 5)

34.

Solve the system:
x + 6y = 17
x - 3y = 8

a)

(5, 2)

b)

(11, 1)

c)

(1, 11)

d)

no solution

35.

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

a)

TRUE

b)

FALSE

36.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

37.

Is (-2, -6) a solution for this system of equations?

y = 3x

y = 7x - 8

a)

Yes

b)

No

c)

Maybe

38.

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)

39.

What is the solution of this system of equations?

a)

(4, -2)

b)

(4, 2)

c)

(-2, 4)

d)

No solution

40.

What is the solution of this system of equations?

a)

(4, 3)

b)

(3, 4)

c)

(-4, 3)

d)

No solution

41.

What is the solution of this system of equations?

a)

(-1, 4)

b)

(1, -4)

c)

(-4, 1)

d)

(4, -1)

42.

What is the solution of this system of equations?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

43.

What is the solution of this system of equations?

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

44.

What is the solution of this system of equations?

a)

(0,0)

b)

(1,1)

c)

(2,2)

d)

(3,3)

45.

What is the solution of this system of equations?

a)

No Solution

b)

(5,-2)

c)

(-2,5)

d)

(5,1)

46.

Solve the system by graphing. Use your graphing calculator!

y = 2x + 1

y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

47.

Solve the system by graphing. Use your graphing calculator!

a)

(3, -1)

b)

(-1, -3)

c)

(-1, -1)

d)

(-1, 3)

48.

Solve the system by graphing. Use your graphing calculator!

y = 6x - 4

y = -x + 3

a)

(1, 2)

b)

(2, 1)

c)

(4, 5)

d)

(2, 4)

49.

Solve the system by graphing. Use your graphing calculator!

y = -2x + 18

y = 8

a)

(5, 8)

b)

(-5, 8)

c)

(2, 8)

d)

(-2, 8)

50.

Solve the system by graphing. Use your graphing calculator!

a)

No Solution

b)

(-2, 6)

c)

(4, 0)

d)

(2, 2)

51.

Solve the system by graphing. Use your graphing calculator!

a)

(1, 2)

b)

(-1, 2)

c)

(2, 1)

d)

(2, -1)

52.

Solve the system by graphing. Use your graphing calculator!

y = -x + 5

y = 6x - 2

a)

b)

c)

d)

53.

Write 3x-2y=2 in slope intercept form.

a)

y=3/2x-1

b)

y=-3/2x-1

c)

y=3/2x+1

d)

y=-3/2x+1

54.

Identify the slope and y-intercept of:
y = 1/5x + 5

a)

slope: 1/6 y-intercept: 4

b)

slope: 1/5 y-intercept: 5

c)

slope: 5/1 y-intercept: 5

d)

slope: 1 y-intercept: 5

55.

Write -4x+2y=-6

a)

y=-2x+3

b)

y=2x+3

c)

y=2x-3

d)

y=-2x-3

56.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

57.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

58.

Which of these represents standard form of a linear equation?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

59.

How many solutions would this system of equations have?

a)

No Solution

b)

One Solution

c)

Infinite Solutions

60.

What are the steps for graphing a line?

a)

1. Plot y-intercept
2. count slope ratio plot second point
3. Draw the line.

b)

1. Make a table
2. Plot slope
3. Draw line

c)

1. Plot two points
2. Check slope
3. Draw line

d)

1. Draw line
2. Hope it is right

2nd 9 Week Test

Total questions: 60

Worksheet time: 3600secs

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