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Worksheets

Math 2 | Sem 1 | Final

Total questions: 100

Worksheet time: 5hrs 41mins

Name
Class
Date
1.
Evaluate 2a + 4b 
if a = 10     and    b = 6
a)
20
b)
24
c)
44
d)
4
2.

7c - 10c + 8c - c - c =

a)

3c43c^4

b)

3c

c)

-3c

d)

3c4-3c^4

3.

8(x - 2) =

a)

16x

b)

8x - 16

c)

10x

d)

Can't be done!

4.
What is the value of the expression
x2 + y2 + x - y 
when x = -1 and y = 3
a)
6
b)
8
c)
12
d)
16
5.
evaluate bc + 5a  
when  a = 3, b = 4, and c = -6
a)
9
b)
38
c)
-38
d)
-9
6.
evaluate bc + 5a  
when  a = 3, b = 4, and c = -6
a)
9
b)
38
c)
-38
d)
-9
7.
g2-3(h-g)Evaluate if g=3 and h=-2
a)
6
b)
9
c)
24
d)
5
8.
What is the first step in solving this problem:
-12 ÷ 6 (-3) + 8
a)
multiplication
b)
addition
c)
division
d)
subtraction
9.
Solve the following:  
8 + (-4) ÷ 4
a)
-7
b)
1
c)
-1
d)
7
10.
Solve the following:
3 + 27 ÷ (-3)
a)
-6
b)
-10
c)
10
d)
-12
11.

Evaluate m - n if m = 29 and n = 11

a)

29

b)

28

c)

19

d)

18

12.

Evaluate 4w - 3y if w = 7 and y = 6

a)

24

b)

21

c)

10

d)

46

13.

Evaluate 4c +(4d +3)2 for c=2 and d=1Evaluate\ 4c\ +\left(4d\ +3\right)^2\ for\ c=2\ and\ d=1  

a)

21

b)

57

c)

225

d)

125

14.

Evaluate 9(8a+3) for a =2Evaluate\ 9-\left(\frac{8}{a}+3\right)\ for\ a\ =2  

a)

2

b)

8

c)

7257\frac{2}{5}  

d)

-4

15.

Evaluate b2 + 3 if b = 9

a)

9

b)

12

c)

81

d)

84

16.

Evaluate m + n if m = 29 and n = 11

a)

40

b)

38

c)

20

d)

18

17.

Evaluate n3 if n = 4

a)

12

b)

16

c)

32

d)

64

18.

Evaluate y + 17 if y = 11

a)

11

b)

17

c)

27

d)

28

19.
Evaluate the expression when x = 3. 
2x2 - 5
a)
31
b)
12
c)
7
d)
13
20.
Solve for x:
2x + 5 = 12
a)
7
b)
3
c)
3.5
d)
8.5
21.
Solve for x: 
4x + 1 = 7x - 5
a)
-1
b)
2
c)
6/11
d)
8
22.
Solve for x:
2(3x + 4) + 2 = 4 + 3x
a)
2
b)
-2/3
c)
10
d)
-2
23.

Solve for x:

12 = 20x - 8

a)

1

b)

-2

c)

-1

d)

2

24.
Solve the following equation,
x/7 = 14
a)
x = 98
b)
x = 2
c)
x = 21
d)
x = 7
25.
Solve the following equation,
3x + 6 = 21
a)
x = 9
b)
x = 5
c)
x = 15
d)
x = 27
26.
5(2x - 7) = 80
a)
x = 11.5
b)
x = 115
c)
x = 12
d)
x = 16
27.
Solve the following equation,
7x - 9 = 33
a)
x = 24/7
b)
x = 42
c)
x = 24
d)
x = 6
28.
Solve the following equation,
x - 23 = 17
a)
-6
b)
6
c)
40
d)
-40
29.
Solve for x: 
4x + 1 = 7x - 5
a)
-1
b)
2
c)
6/11
d)
8
30.
What is the first step in solving this equation:
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
31.
Which operation will cancel out multiplication?
a)
A.  Addition
b)
B. Subtraction
c)
C. Multiplication
d)
D. Division
32.
Solve for x:
2x + 5 = 12
a)
7
b)
3
c)
3.5
d)
8.5
33.
What is the first step to solve this equation:
  3x = 44
a)
Add 3 to both sides
b)
Subtract 3 from both sides
c)
Multiply 3 on both sides
d)
Divide 3 on both sides.
34.
z + 45 = 92
a)
z = -47
b)
z = 137
c)
z = 47
d)
z = -137
35.

x - 12 = 2

a)

24

b)

10

c)

20

d)

14

36.

3c = 12

a)

36

b)

4

c)

15

d)

9

37.
What is the correct step to solve for the variable?
15 = m - 5
a)
add 5 to both sides
b)
add 15 to both sides
c)
subtract 15 from both sides
d)
subtract 5 from both sides
38.
The inverse operation of addition is _______________.
a)
Division
b)
Multiplication
c)
Addition
d)
Subtraction
39.
When you solve one-step equations, you can do anything you want to one side of the equal sign, as long as...
a)
it is mathematical
b)
you do the SAME thing to the other side
c)
solving equations is impossible
d)
I love Snow Days!
40.


4x7=19-4x-7=-19  

a)

x=3x=3  

b)

x=10x=-10  

c)

x=9x=-9  

d)

x=12x=12  

41.

Which point is located at (3, -5)?

a)

A

b)

B

c)

C

d)

D

42.

What are the coordinates of point L?

a)

(-5, 0)

b)

(6, 2)

c)

(1, -3)

d)

(-3, 4)

43.

On the coordinate plane shown, the points A(4, 4), B(-2, 4), and C(-2, -3) are plotted. What will be the coordinates of point D if ABCD forms a square?

a)

(4, -3)

b)

(-4, -3)

c)

(3, -4)

d)

(4, 2)

44.

Which statement describes every point on the y-axis of the Cartesian coordinate plane?

a)

The x-coordinate is zero

b)

The y-coordinate is zero

c)

The x-coordinate is positive

d)

The y-coordinate is positive

45.

On the coordinate plane shown, points A(-5, -6), B(2, -6), C(8, 5), and D(-7, 5) are plotted and connected with line segments to form a trapezoid. What is the height of the trapezoid?

a)

11 units

b)

7 units

c)

15 units

d)

10 units

46.
The X axis is _______?
a)
vertical
b)
diagonal
c)
criss-cross
d)
horizontal
47.
The Y axis is _______?
a)
Vertical
b)
Horizontal
c)
criss-cross
d)
diagonal
48.
In the ordered pair (4,9), which number is the y-coordinate?
a)
4
b)
9
c)
neither
d)
both
49.
How do you write an ordered pair?
a)
(X,X)
b)
(Y,X)
c)
(X,Y)
d)
(Y,Y)
50.
In the coordinate points (2,7) the 2 represents
a)
y
b)
origin
c)
x
d)
point
51.

What is the slope of this graph?

a)

30

b)

1/30

c)

5

d)

35

52.

What is the slope of this graph?

a)

1/2

b)

2

c)

2/2

d)

2/4

53.

What id the slope?

a)

1

b)

2

c)

3

d)

.5

54.

What is the slope of this table?

a)

13

b)

3

c)

1/3

d)

?

55.

Find the slope of the line.

a)

Undefined

b)

00

c)

11

d)

1-1

56.

The following line has a negative slope.

TRUE or FALSE?

a)

TRUE

b)

FALSE

57.

What is the equation of the line?

a)

y = 3x

b)

y = 1/3x

c)

y = x - 3

d)

y = 1/4x

58.

What is the equation of the line?

a)

y = 1/2x

b)

y = x + 2

c)

y = 2x

d)

y = x - 2

59.

What is the slope of the line?

a)

3

b)

1/3

c)

-3

d)

1/4

60.

What does FOIL stand for?

a)

Failing Only in Language

b)

Farming Only in Lakewood

c)

First Outside Inside Last

d)

Fresh Only in Lakes

61.

Multiply

(x +2)(x + 3)

a)

x2 + 5x + 6

b)

x2 + x + 6

c)

x2 + 5x + 5

d)

x2 + 6x + 6

62.

Multiply

(x - 3)(x +10)

a)

x2 - 7x + 13

b)

x2 - 6x - 30

c)

x2 + 7x - 30

d)

x2 + 13x + 30

63.

Multiply

(x - 5)(x + 1)

a)

x2 - 4x - 5

b)

x2 + 6x - 5

c)

x2 - 5x - 4

d)

x2 - 4x - 4

64.

Multiply

(x – 1)(x + 5)

a)

x2 + 4x + 5

b)

x2 + 4x - 5

c)

x2 + 14x + 5

d)

x2 + 14x - 5

65.

Multiply

(y + 3)(y + 7)

a)

y2 + 21

b)

y2 + 10x + 21

c)

y2 + 4y - 21

d)

2y + 10

66.

Multiply

(2x - 1)(x + 2)

a)

2x2 + 3x - 2

b)

2x2 - 5x - 2

c)

2x2 + 3x + 2

d)

2x2 - 5x + 2

67.

( x - 5 )2

a)

x2 + 25x + 10

b)

x2 - 10x + 25

c)

x2 - 25

d)

x2 + 10x - 25

68.

( x + 3 )2

a)

x2 + 9

b)

x2 - 6x - 9

c)

x2 + 6x + 9

d)

x2 + 9x + 6

69.
(2s + 9)(3s - 4)
a)
3s2 + 19s - 36
b)
4s2 + 19s - 36
c)
5s2 + 19s - 36
d)
6s2 + 19s - 36
70.

Use your memory of special cases : ( 3y + 8) ( 3y - 8)

a)

24 y2 -9y - 64

b)

9y + 64

c)

24y -64

d)

9y 2 - 64

71.

(x - 3)(x +10)

a)

x2 - 7x + 13

b)

x2 - 6x - 30

c)

x2 + 7x - 30

d)

x2 + 13x + 30

72.
Find the product:
(3x – 1)(x + 5) 
a)
3x2 + 4x + 5
b)
3x2 + 4x - 5
c)
3x2 + 14x + 5
d)
3x2 + 14x - 5
73.

Factor:

4x2 - 25

a)

(2x + 5) (2x - 5)

b)

(2x - 5)2

c)

(2x + 5)2

d)

2x + 5(2x - 5)

74.
Factor
x2 + 11x + 24
a)
(x + 6)(x + 4)
b)
(x + 10)(x + 2)
c)
(x + 8)(x + 3)
d)
(x + 2)(x + 12)
75.
Factor
x2 + 4x + 3
a)
(x - 1)(x - 3)
b)
(x + 1)(x + 3)
c)
(x - 1)(x + 3)
d)
(x + 1)(x - 3)
76.
Factor
x-16x + 48
a)
(x - 12)(x - 4)
b)
(x + 6)(x - 8)
c)
(x + 12)(x - 4)
d)
(x -16)(x - 3)
77.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
78.
Factor
x+ 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
79.

The axis of symmetry is a ____ line

a)

Horizontal

b)

Vertical

80.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
81.
What's the axis of symmetry of y = 3x- 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
82.
Is this point (the vertex) a max or min?
a)
max
b)
min
83.
Does the quadratic have a max/min vertex, and does the graph open up/down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
84.
What direction is the following equation opening?
y=-3x2-7x+8
a)
Up
b)
Down
c)
Left
d)
Right
85.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
86.

Find the axis of symmetry of
y=3x26x+4y=3x^2-6x+4  

a)

x=1x=1

b)

x=6x=-6  

c)

x=2x=2

d)

x=1x=-1  

87.

Find the axis of symmetry of  y=2x216x+3y=-2x^2-16x+3  

a)

x=4x=4  

b)

x=8x=8  

c)

x=4x=-4  

d)

x=8x=-8  

88.

Does this parabola have a Maximum or Minimum?

a)

Maximum

b)

Minimum

89.

Find the vertex


y = x2 + 16x + 71

a)

(−8, 7)

b)

(−8, 3)

c)

(8, 10)

d)

(16, −2)

90.
Find the vertex  y = x2 - 2x - 5
a)
V(-2, 10)
b)
V(-1, 15)
c)
V(1, -6)
d)
V(1, -12)
91.

What is the vertex?

a)

(0,0)

b)

(4,0)

c)

(0,4)

d)

(2, 4)

92.
What is the vertex?
a)
(-1,-2)
b)
(-2,-1)
c)
(-3,-1)
d)
(2,1)
93.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
94.

Find the product.

(2x + 3)(3x + 4)

a)

6x2 + 17x + 7

b)

6x2 + 17x + 12

c)

6x2 + 8x + 12

d)

6x2 + 9x + 12

95.
If we have the equation y=ax2+bx+c, how can we can find the x-coordinate of the vertex?
a)
-a
b)
-b/a
c)
b/2a
d)
-b/2a
96.

What are the green dots called? Select all that apply.

a)

zeros

b)

vertex

c)

roots

d)

x-intercepts

97.
What is the green dot on the parabola called?
a)
vertex
b)
root
c)
dot
98.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
99.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
100.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1