Free Printable Unit 0 Test Practice

1.

Solve for v.

a)

v = 60

b)

v = -3

c)

v = 15

d)

v = 3

e)

v = 33

2.

Solve: $5y+34=-2(-7y+1)$

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

3.

Solve the equation $-8x-8+3(x-2)=-3x+2$

a)

x = -8

b)

x = 8

c)

x = 2

d)

x = -2

4.

$-2(x+1)=2(x-1)$

a)

x is any real number

b)

No Solution

c)

x = 0

d)

x = 4

e)

x = -4

5.

Is there a mistake on the equation solved? If so where was the mistake made?

a)

This equation is solved correctly.

b)

The mistake was made on the second step of combining like terms on the left side.

c)

The mistake was made on the third step of moving the variable to the right side.

d)

The mistake was made on the fourth step of moving the constant to the left side.

e)

The mistake was made on the first step doing the distributive property.

6.

Is there a mistake on the equation solved? If so where was the mistake made?

a)

This equation is solved correctly.

b)

The mistake was made on the first step of doing the distributive property.

c)

The mistake was made on the second step of moving the variable.

7.

Is there a mistake on the equation solved? If so where was the mistake made?

a)

This equation is solved correctly.

b)

The mistake was made on the distributive property step on the right side.

c)

The mistake was made on combining like terms on the left side.

d)

The mistake was made on moving the variable to the left side.

e)

The mistake was made on moving the constant to the right side.

8.

Solve:
7(x + 3) < 5x + 13

a)

x>-4

b)

x < 17

c)

x<-4

d)

x > -17

9.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

10.

Solve the inequality

a)

x ≤ 2

b)

x ≤ -2

c)

x ≥ 2

d)

x ≥ -2

11.

Which could be the graph of the equation y = 1/3x - 2?

a)

b)

c)

d)

12.

Which is the graph of the equation y = -2x + 1?

a)

b)

c)

d)

13.

Write the equation in point-slope form of the line that passes through the given point and has the given slope:

(-2, -1); m= -3

a)

y + 1 = -3(x - 2)

b)

y + 1 = -3(x + 2)

c)

y - 1 = 3(x - 1)

d)

y + 2 = -3(x + 1)

14.

Write the equation for a vertical line that goes through point (-3,4).

a)

y=-3

b)

y=4

c)

x=-3

d)

x=40

15.

Write the equation for the horizonal line that passes through (5 -2)

a)

x = 5

b)

x = -2

c)

y=5

d)

y=-2

16.

Write an equation for the line with an undefined slope that goes through point (-6, -8)

a)

y=-6

b)

y=-8

c)

x=-8

d)

x=-6

17.

A horizontal line has a slope of

a)

1

b)

0

c)

undefined

d)

can not be determined

18.

A vertical line has a slope of

a)

1

b)

0

c)

undefined

d)

can not be determined

19.

Graph

a)

b)

c)

d)

20.

Graph

a)

b)

c)

d)

21.

Convert the standard form equation into slope-intercept form.
4x - 3y = 15

a)

y = (4/3)x - 5

b)

y = ⅔x - 5

c)

y = (3/2)x + 5

d)

y = (3/4)x - 5

22.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

23.

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.

24.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

25.

Which of the following equations match the given graph?

a)

$y\le-\frac{5}{4}x+3$

b)

$y\ge-\frac{5}{4}x+3$

c)

$y<-\frac{4}{5}x+3$

d)

$y>-\frac{5}{4}x+3$

26.

Which of the following equations match the given graph?

a)

$y\ge\frac{2}{5}x+1$

b)

$y\ge-\frac{2}{5}\ x+1$

c)

$y\le\frac{2}{5}x+1$

d)

$y<\frac{2}{5}x+1$

27.

Consider the inequality:
y= -x + 4
Identify the slope and y-intercept.

a)

m=4, b=-x

b)

m=-x, b=4

c)

m=1, b=4

d)

m=-1, b=4

28.

a)

y ≤ 2x - 4

b)

y ≥ 2x - 4

c)

y < 2x - 4

d)

y > 2x - 4

29.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

30.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

31.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

32.

Write the linear inequality in standard form for this situation: The CRHS science department can spend no more than $2700 on textbooks this year. The department needs to buy both Biology text books, which cost $57 each, and Chemistry textbooks, which cost $72 each.

a)

57x + 72y ≥ 2700

b)

57x + 72y > 2700

c)

57x + 72y < 2700

d)

57x + 72y ≤ 2700

33.

Beng and Shim have less than $30 for candle–making supplies. The molds x cost $6 each and the wax y is $2 per pound. Which point represents a reasonable number of molds and pounds of wax they could buy?

a)

(3, 4)

b)

(4, 4)

c)

(5, 1)

d)

(3, 6)

34.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

35.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

x is any real number

d)

none of these

36.

Is the points (-4, 4) a solution to the system of equations?

a)

Yes

b)

No

37.

Is the point (2, -1) a solution to the systems of equations below?

y=5x+3

y=-2x-4

a)

Yes

b)

No

38.

How can you tell if a point is a solution to a system?

a)

It makes the first equation true.

b)

The (x,y) coordinates satisfy both equations

c)

It makes logical sense

d)

It makes neither equation negative

39.

What point is a solution to the system of equations below?

3x + 2y = 16

7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

40.

Will the solution (-3, -7) make the following system of equations a true statement?
y = 4x + 5
y = x – 4

a)

YES

b)

NO

41.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

42.

Which point is a solution to the system of equations above?

a)

(-2, 4)

b)

(-2, -4)

c)

(2, -4)

d)

(2,4)

43.

What is the solution to this system of equations?

a)

(0,-2)

b)

No Solution

c)

(3,-1)

d)

(4,0)

44.

Identify the system of inequalities which represents the following graph. Two answers.

a)

x + y ≤ 3

b)

6x - 2y < 4

c)

x + y ≥ 3

d)

6x - 2y > 4

45.

Identify the solutions for the following system of inequalities.

Select all that apply.

x ≥ 2

3x + 4y < 8

a)

(4, -1)

b)

(6, 0)

c)

(2, 3)

d)

(0, 0)

46.

Identify the area of the graph that represents the solutions to the following system of inequalities.

y < ½x -3

y ≥ -3x + 1

a)

A

b)

B

c)

C

d)

D

47.

Identify the solution for the following system of inequalities.

y > 2

-2x - y ≥ 3

a)

(0, 0)

b)

(-4, 2)

c)

(-4, 5)

d)

(3, 1)

48.

Is an ordered pair on a solid line part of your solution?

a)

yes

b)

no

49.

Is an ordered pair on a dashed / dotted line part of your solution?

a)

yes

b)

no

50.

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

a)

(2,-1)

b)

(-1,2)

c)

(1,2)

d)

(2,1)

51.

What is the solution to this system?
x = 7 - 2y
2x + y = 5

a)

(-1,4)

b)

(4,-1)

c)

(1,3)

d)

(3,1)

52.

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)

53.

Solve by elimination

4x-6y= -6

-2x-12y= -12

a)

(0,1)

b)

(1,0)

c)

(1,1)

d)

(0, 2)

54.

Graph the system of equations.

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

a)

b)

c)

d)

55.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "x" represents # of adult tickets and "y" represents # of children's tickets.

a)

x + y = 21
6x + 4y = 104

b)

x + y = 104
6x + 4y = 21

c)

x + y = 21
6y + 4x = 104

d)

x + y = 104
6x + 4y = 21

56.

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104

a)

(10, 11)

b)

(12, 9)

c)

(11, 10)

d)

(9, 12)

57.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation? *

a)

1.5x + 0.5y = 78.5
x + y = 87

b)

1.5x + 0.5y = 78.5
1.5x + 0.5y = 87

c)

x + y = 78.5
1.5x + 0.5y = 87

d)

x + y = 78.5
x + y = 87

58.

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined.

Solve the system.

a)

(35, 52)

b)

(18, 69)

c)

( 52, 35)

d)

(61, 26)

59.

Caitlin won a bag full of money! She has 49 bills in all. She counts $1430. There are twenty dollar bills and fifty dollar bills. How many of each bill does Caitlin have? Which system best represents the situation?

a)

x + y = 1430
20x + 50y = 49

b)

x + y = 49
10x + 5y = 1430

c)

x + y = 49
20x + 50y = 1430

d)

x + y = 49
x + y = 1430

60.

What is the missing information that would make the statement true for INFINITE (All) solution?

_ + 10 = 5x + 10

(a)

61.

When solving a system of equations algebraically, which statement results in infinite solutions?

a)

4 = 7

b)

2 = 2

c)

-3 = 3

d)

all of the above

62.

Which equation below has no solution?

a)

3 + 4x = 3 + 6x − 2x

b)

14 + 12x − 4x = 10 + 8x

c)

6x − 5 − 3x = 3x − 5

d)

10x − (5x + 8) = 7x

63.

12 (x + 3 ) = 4 (2x + 9 ) + 5x

a)

x = 0

b)

No Solution

c)

x is any real number

d)

x = 1

64.

Which equation below has infinitely many solutions.

a)

9 + 5x − 6 = 8x + 7(x − 5)

b)

5(6x − 7) + 6 = −9(2 − 2x)

c)

8x + 4 = 2(4x + 2)

d)

7(x − 5) + 5 = x − (6 − 5x)

65.

$-28=-7\left(3x+4\right)+21x$

a)

$x=-12$

b)

$x=4$

c)

no solution

d)

x is any real number

66.

What does it mean when an equation has one solution?

a)

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

b)

The equation will NEVER be true no matter what value is substituted in for the variable.

c)

Only ONE solution will make the equation true.

d)

The equation cannot be solved.

67.

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.

68.

Solve:
$-\left(8x-4\right)-\left(6x-2\right)=6-4x+5x$

a)

x is any real number

b)

no solution

c)

$x=0$

d)

$x=-2$

69.

Solve the equation for x:

a)

17

b)

16

c)

15

d)

14

70.

a)

x = 19

b)

x = -9

c)

x = -100

d)

x = -50

e)

x = 100

71.

a)

x = 1/7

b)

x = 47/36

c)

x = 7

d)

x = 23

e)

no solution

72.

a)

x = 4

b)

x = 44

c)

x = -4

d)

x = -44

e)

x = -1

73.

Solve for b.

a)

b = 8

b)

b = 17/12

c)

b = 4/3

d)

b = 1/8

74.

What is the slope:

5x + 10y = 30

a)

m = -1/2

b)

m = 1/2

c)

m = 3

d)

m = 1/3

75.

Find the slope and y-intercept:

6x - 2y = 18

a)

slope = -6, y-intercept = -2

b)

slope = -3, y-intercept = 9

c)

slope = 3, y -intercept = -9

d)

slope = 6, y-intercept = 3

Unit 0 Test Practice

Total questions: 75

Worksheet time: 9hrs 31mins

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