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Summative - Chp 5.1, 5.2, 5.4, 5.5, 5.6

Total questions: 75

Worksheet time: 4hrs 27mins

Name
Class
Date
1.
9m3 + m + 2m2 – 3m3
a)
m + 2m2 - 6m3
b)
m + 2m2 + 11m3
c)
m + 2m2 + 6m3
2.
Simplify by combining like terms:
5a + 2b - 3a + 4
a)
8a + 2b + 4
b)
2a + 2b + 4
c)
8ab
d)
4ab + 4
3.
-4x - 10x
a)
-14
b)
6x
c)
-6x
d)
-14x
4.
Simplify the expression: 7v + 2 + 12 + 2v
a)
23
b)
23v
c)
9 + 14v
d)
9v + 14
5.
-6k + 7k=
a)
k
b)
-k
c)
12k
d)
-12k
6.
n -10 +9n -3=
a)
-3
b)
9n-3
c)
n
d)
10n -13
7.
Combine like terms
3x + 2x + 3y - 7y
a)
5x + 10y
b)
5x + 4y
c)
5x - 4y
d)
5x -10y
8.
Simplify by combining like terms:
4x2 - 3x + 11 -2x
a)
4x2 - 5x + 11
b)
11x + 11
c)
16x2 - 5x + 11
d)
10x2
9.
-2x + 11 + 6x
a)
8x+11
b)
4x +11
c)
4x
d)
15x
10.
3n+5p+2+n
a)
10np
b)
8np+2+n
c)
4n+5p+2
11.
2r + 2 + 5r - 2 + r 
a)
8r 
b)
8r - 4 
c)
12r 
d)
7r + 4 + r 
12.
Simplify the following expression:
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
13.

Simplify: 7j + 3k + 10j - k

a)

3j + 4k

b)

17j + 2k

c)

19jk

d)

Can't be simplified

14.

Simplify by combining like terms:

7f+8g+4f+3f+6f+2g7f+8g+4f+3f+6f+2g  

a)

20f+11g20f+11g  

b)

21f+10g21f+10g  

c)

20f+10g20f+10g  

d)

22f+10g22f+10g  

15.
Which of these are like terms in the following expression:
3x + 7 - 9x + 24y + 2x2
a)
7, 24y
b)
3x, 9x
c)
3x, -9x
d)
3x, -9x, 2x2
16.

Which matches the expression below?

2x + 5

a)

Five times a number increased by two.

b)

The sum of five and twice a number.

c)

Two more than the product of five and a number.

17.

What does "difference" mean?

a)

add

b)

subtract

c)

multiply

d)

divide

18.

Three less than twice a number

a)

2x-3

b)

3x-2

c)

3-2x

d)

2-3x

19.

How many terms does the expression have?


6a - 5b - 8y + 9z - 8

a)

1

b)

2

c)

4

d)

5

20.

Identify the constant:


7c + 8 y + 32

a)

7

b)

c

c)

y

d)

32

e)

8

21.

How many terms does the expression have?


6x + 8y + 9z - 8

a)

1

b)

2

c)

4

d)

6

22.

Identify the constant:


5a + 7b - 9c - 12

a)

5

b)

7

c)

-12

d)

9

e)

12

23.
Identify the coefficient(s) in the following expression: 
5x2 + 2x - 6 
a)
5, 2, -6
b)
5, 2
c)
5
d)
-6
24.

List the coefficients in this expression:

10x + 36 + 12x - 15

(a)  

25.
What is/are the coefficient(s) of
 2x + 9 + 7x?
a)
2, 9, 7
b)
2, 7
c)
2x, 7x
d)
9
26.
Like terms have the same _____ and the same _____.
a)
variables and numbers
b)
signs and numbers
c)
variables and exponents
d)
variables and signs
27.
A constant term has ______.
a)
no exponents
b)
no variables
c)
no numbers
d)
no letters
28.
A coefficient is __________.
a)
the variable
b)
a constant
c)
an exponent
d)
the number that comes before the variable
29.

Choose the BEST match

a)

3x

1.

1 term

b)

4 + 7h

2.

2 terms

c)

x + 8r - 3

3.

3 terms

d)

z

4.

1 term; the coefficient is 1

e)

4k - 4 + 5 - 8

5.

4 terms

30.

Click on the name of the red part of the algebraic expression:


42 + 2x -7

a)

variable

b)

constant

c)

base

d)

coefficient

31.

Solve 4x + 3 when x = 5

a)

12

b)

13

c)

23

d)

24

32.

Determine the outcome when n = 10

3n+23n + 2

a)

30

b)

32

c)

33

d)

35

33.

Find the value of the expression when k = -7

8k58k - 5

a)

51

b)

-56

c)

-61

d)

66

34.
Evaluate when a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
35.
Evaluate 7y - 3y for y=2
a)
40
b)
73
c)
8
d)
4
36.
Evaluate the following expression:
x2 + 5 - x when x = 5
a)
25
b)
33
c)
20
d)
35
37.
Evaluate the following expression:
-3x2 - 5x + 7 when x = -2
a)
5
b)
10
c)
12
d)
7
38.

Evaluate the expression. Let g = 3 h = 9

4g + 2h + 4

a)

42

b)

34

c)

46

d)

58

39.
Evaluate m² if      m = 5
a)
10
b)
25
40.
(s – 5)2 
s = 13 
a)
34
b)
64
c)
144
d)
16
41.

Evaluate the expression 4(t – 2) + 3


when t = 10

a)

35

b)

24

c)

12

d)

36

42.
Evaluate the expression
(y + z)2  when y= 5 and z= 2
a)
7
b)
49
c)
29
d)
14
43.

Evaluate b3 + 6 if b = 2

a)

15

b)

512

c)

12

d)

14

44.

Evaluate: m - 2.7 when m = -4.5

a)

1.8

b)

7.2

c)

-1.8

d)

-7.2

45.

Evaluate:  p2\frac{p}{2}    when p = -24


a)

-12

b)

12

c)

48

d)

-48

46.
Find (2x + 3) + (x + 4)
a)
2x + x
b)
12 + 3x
c)
2x2 + 12
d)
3x + 7
47.
(3x + 5) + (2x + 1) 
a)
5x + 5
b)
5x + 6
c)
x + 4
d)
6x + 5
48.
(-m + 3) + (7m – 1)
a)
-8m + 2
b)
6m + 2
c)
-8m + 4
d)
-6m + 2
49.
Find the sum:  (3w - 8) + (-6w - 4)
a)
-3w + 12
b)
9w + 12
c)
-3w - 12
d)
-9w - 12
50.
Find the sum (−x + 8) + (−5x − 1).
a)
−6x + 7
b)
−4x + 7
c)
−6x − 8
d)
−6x + 8
51.

(-2x + 15) + (7x - 8)

a)

12x

b)

9x + 7

c)

5x + 7

d)

-5x - 7

52.

(-3x - 4) + (-5x - 8)

a)

8x - 4

b)

-20x

c)

2x - 4

d)

-8x - 12

53.

(2x - 5) + (3x - 4)

a)

x - 1

b)

-1x - 9

c)

5x - 1

d)

5x - 9

54.
Find the difference:
(8 - u) - (5u + 1)
a)
6u + 7 
b)
-4u + 7
c)
-6u + 7
d)
4u - 7
55.
(x + 9y + 5) – (-8x + 4y – 7)
a)
-7x + 5y + 12
b)
9x + 9y + 12
c)
-7x + 13y + 12
d)
9x + 5y + 12
56.
(6x + 3y + 4) – (8x + 9y)
a)
-2x - 6y
b)
-2x - 6y + 4
c)
2x + 6y + 4
d)
14x + 12y + 4
57.
(7a + 4) - (9a + 2)
(its subtraction not addition)
a)
-2a + 6
b)
16a + 6
c)
-2a + 2
d)
2a + 2
58.
Find the difference (2x + 5) − (x + 4).
a)
x + 1
b)
3x + 9
c)
−x + 1
d)
x + 9
59.
(2x + 4) - (7x - 1)
a)
5x + 3
b)
-5x + 5
c)
-5x - 5
60.
(4x + 8) - (6x - 9)
a)
-2x + 1
b)
10x + 17
c)
-2x + 17
61.
5(x-4) + (2x-7)
a)
3x - 28
b)
5x + 2x -27
c)
7x2 + 11
d)
7x -27
62.
Find the difference: 
(x - 3) - 2(0.5x - 2) 
a)
-1
b)
2x - 1 
c)
2x + 1
d)
1
63.

Use the Distributive Property to simplify:

2(c - 8)

a)

2c - 16

b)

2c + 16

c)

2c - 8

d)

c - 16

64.

-2(3x + 5) + 6x

a)

-12x - 5

b)

10

c)

-12x - 10

d)

-10

65.

Simplify the following expression:

2x + 7(x - 5) - 4

a)

9x + 20

b)

9x + 31

c)

9x - 31

d)

9x - 39

66.

Which of the following is equivalent to 8(5f - 7) + 3f ?

a)

43f - 7

b)

37f - 56

c)

43f - 56

d)

40f - 56 + 3f

67.

Which expression is equivalent to the expression 3(4x2)2x?-3\left(4x-2\right)-2x?  

a)

8x-8x  

b)

16x-16x  

c)

14x2-14x-2  

d)

14x+6-14x+6  

68.
Simplify:
3(9 + 2d) + 4d 
a)
18d+10d
b)
18d-10d
c)
27+10d
d)
37d
69.

Simplify the expression
5(2x + 4)5\left(2x\ +\ 4\right)  

a)

7x + 97x\ +\ 9  

b)

35x35x  

c)

10x + 2010x\ +\ 20  

70.

Simplify the expression

3(4w+2)+13w3(4w+2)+13w   

a)

25w + 625w\ +\ 6  

b)

12w + 2 + 13w12w\ +\ 2\ +\ 13w  

c)

18w + 13w18w\ +\ 13w  

71.

Simplify the expression

3(8+6n4)-3(8+6n−4)  

a)

24 + 18n24\ +\ 18n  

b)

18n  12-18n\ -\ 12  

c)

36n  18-36n\ -\ 18  

72.
-6(y – 1) + 7
a)
-6y + 13
b)
-6y + 1
c)
-6y - 1
d)
-6y + 12
73.

What is the simplified version of this expression? 7(5x1)7\left(5x-1\right)  

a)

35x+735x+7  

b)

35x135x-1  

c)

35x735x-7  

d)

35x7-35x-7  

74.
Simplify the expression:
3(2h + 3c + 2)
a)
6h + 9c + 2
b)
6h + 9c + 6
c)
2h + 3c + 6
d)
5h + 6c + 5
75.
Distribute: 2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16