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Worksheets

Math gr 7

Total questions: 145

Worksheet time: 4hrs 18mins

Name
Class
Date
1.

If z = 31, what is 30 − z ?

a)

1

b)

-1

c)

2

d)

3

2.

Evaluate the expression for m = 10.

11m

a)

110

b)

21

c)

100

d)

1110

3.

What is 11z - 12z

a)

1z

b)

-1z

c)

z

d)

-z

4.

What is 123xyz + 123xyz

a)

246xyz

b)

-256xyz

c)

256

d)

-256

5.

Identify like terms from following-

a)

1x,234z,2z

b)

12z,12x,12y

c)

11x,43x,560x

6.

Identify the unlike terms from following-

a)

12x,23,x,34x

b)

123a,89x,98y

c)

2,2,2

7.

A ______ has fixed value.

a)

Variable

b)

Constant

8.

Who am I?

My value is not fixed and changes.

a)

Constant

b)

Variable

9.

Identify the numerical coefficient of 1489xyz

a)

1489

b)

xyz

10.

Identify the literal coefficient of 567817xy

a)

xy

b)

567817

11.

SOLVE- 2x+y-7x+10y+2

a)

2x+2

b)

-5x+11y+2

c)

10y+11y+2

d)

11y+10y

12.

IF-7x+4=25 then the value of x is?

(a)  

13.
g divided by 9
a)
9g
b)
g-9
c)
g/9
d)
9/g
14.
Three times a number increased by nine
a)
3h-9
b)
3(h-9)
c)
3(h+9)
d)
3h+9
15.
The quotient of a number and 8
a)
8g
b)
8/g
c)
g+8
d)
g/8
16.
Three times the sum of 2 and e. 
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
17.
The product of 7 and j increased by 3.
a)
3+7j
b)
7j-3
c)
7(j+3)
d)
3j+7
18.
Six divided by the product of -7 and b.
a)
6/b-7
b)
6/-7b
c)
-7b/6
d)
b-7/6
19.
Five times Mike's age increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
20.
A _____________ is a symbol, usually a letter that stands for a number. 
a)
coefficient
b)
algebraic expression
c)
variable
d)
term
21.
A(n) __________________ consists of one or more numbers, variables, and operations. 
a)
numeric expression
b)
term
c)
variable
d)
algebraic expression
22.
Which of the following is an example of an algebraic expression?
a)
3(2 + 7) - 10
b)
78 - 5 + 3
c)
3x + 6y
d)
8(3) - 5 + 2
23.
A ______________ is a number multiplied by a variable. 
a)
term
b)
variable
c)
coefficient
d)
numerical expression
24.
How many terms are in the given expression?
52 + 7n - 2f  
a)
6
b)
5
c)
3
d)
2
25.

An algebraic expression is a combination of:-

a)

variables

b)

constants

c)

one or more than one operation

d)

all of these

26.

Expressions are made up of ________ .

a)

Terms

b)

Factors

c)

none of these

27.

A term is a __________ of factors.

a)

sum

b)

difference

c)

product

d)

quotient

28.

Choose the constant term in this expression.

2x2y +2xy2 + 2xy + 22x^2y\ +2xy^2\ +\ 2xy\ +\ 2  

a)

2x2y2x^2y  

b)

2xy2 2xy^2\  

c)

2xy 2xy\  

d)

 2\ 2  

29.

How many terms are there in this expression.

ab + a2b + 3ab + 5ab\ +\ a^2b\ +\ 3ab\ +\ 5  

a)

1

b)

2

c)

3

d)

4

30.

Choose the correct terms for the following expression.

xyz + x2yz + xy2zxyz\ +\ x^2yz\ +\ xy^2z  

a)

xyz ,  x2yz , xyz2xyz\ ,\ \ x^2yz\ ,\ xyz^2  

b)

xyz , xyz2 , xy2zxyz\ ,\ xyz^2\ ,\ xy^2z  

c)

x2yz2 , x2yz , xy2zx^2yz^2\ ,\ x^2yz\ ,\ xy^2z  

d)

xyz , x2yz , xy2zxyz\ ,\ x^2yz\ ,\ xy^2z  

31.

Choose the correct factors for the second term of the following expression.

abcd   a2b + 20abcd\ \ -\ a^2b\ +\ 20  

a)

a, b, c, da,\ b,\ c,\ d  

b)

  1, a, a, b-1,\ a,\ a,\ b  

c)

a, a, b-a,\ a,\ -b  

d)

20 20\  

32.

Choose the numerical coefficient in the following expression.

2ab + 5-2ab\ +\ 5  

a)

-2

b)

5

c)

both -2 & 5

d)

none of these

33.

Choose the coefficient of  x2x^2  in the following expression.

 5xy2  5x2y 5\ -5xy^2\ \ -5x^2y\ -5  

a)

55  

b)

5-5  

c)

5x-5x  

d)

5y-5y  

34.

2x + 3y5\frac{-2x\ +\ 3y}{5}  

Identify the type of this polynomial.

a)

monomial

b)

binomial

c)

trinomial

35.

Choose the expression which represents TRINOMIAL.

a)

a + b   3c +3c-a\ +\ b\ \ -\ 3c\ +3c

b)

a + b +2a b-a\ +\ b\ +2a\ -b

c)

a + b + 3c 5b-a\ +\ b\ +\ 3c\ -5b

36.

Choose two pairs of terms that does not represents LIKE TERMS.

a)

21 , -21

b)

ab , 7ba

c)

c2d  ,  cd2c^2d\ \ ,\ \ cd^2  

d)

z3xy , xy3zz^3xy\ ,\ xy^3z  

37.

5abc ; 4abc ; 3bca ; 2cba-5abc\ ;\ 4abc\ ;\ 3bca\ ;\ -2cba  

Add the following terms.

a)

abc

b)

7cba

c)

7bca

d)

0

38.

Subtract -13xy from 6xy.

a)

19xy

b)

-7xy

c)

7xy

d)

-19xy

39.

x2 3x  5x^2\ -3x\ -\ 5

Find the value of this expression when   x = -2

a)

4

b)

5

c)

6

d)

10

40.

12m2  9m + 5m  4m2  7m + 1012m^2\ -\ 9m\ +\ 5m\ -\ 4m^2\ -\ 7m\ +\ 10  

Combine the like terms of the following expression and then simplfy.

a)

8m2   11m + 108m^2\ \ -\ 11m\ +\ 10  

b)

8m2   4m + 108m^2\ \ -\ 4m\ +\ 10  

c)

8m2   16m + 108m^2\ \ -\ 16m\ +\ 10  

d)

8m2   2m + 108m^2\ \ -\ 2m\ +\ 10  

41.

We can add and subtract only _____ terms.

a)

Like Terms

b)

Unlike Terms

c)

Both

42.

Find the nth term for the following number pattern.


11, 22, 33, 44, 55...........

a)

10n + 1

b)

10n

c)

10n - 1

d)

11n

43.

Find the 50th term for the following expression.
3n + 13n\ +\ 1  

a)

51

b)

151

c)

251

d)

351

44.

5n  15n\ -\ 1  

Find the 100th term for the following expression.

a)

500

b)

501

c)

499

d)

599

45.
Find the sequence 10, 20, 30, 40.........
a)
Multiply by 10
b)
Add 10  
c)
Multiply by 2
46.
Find the sequence;  2, 4, 6, 8,...........
a)
add 2
b)
multiply by 2
47.
Find the sequence; 2, 4, 8, 16, 32...............
a)
add 4
b)
multiply by 2
c)
add 2
48.
Find the sequence; 10.5, 13, 15.5, 18..........
a)
add 2.5
b)
add 2
c)
multiply by 2.5
49.
Find the sequence; 3, 9, 27, 81..............
a)
add 3
b)
multiply by 3
50.
Find the sequence; 9, -18, 36, -72...........
a)
adding 9
b)
multiply by -2
51.
Find the sequence; -2, 2, -2, 2, -2............
a)
Add -1
b)
multiply by -1
52.
Is the sequence arithmetic: 37, 31, 25, 19, ...
a)
Yes
b)
No
53.
Is the sequence 2, 4, 12, 48,... geometric?
a)
yes
b)
no
54.
Identify the common difference.
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
55.
Find the common ratio: 4, -16, 64, -256, ...
a)
r = -4
b)
r = 2
c)
r = -2
d)
r = 4
56.

What is the 100th term in the sequence f(n)= 4n-12

a)

388

b)

40012

c)

-388

d)

100

57.

256, 128, 64, 32, ...

What's next?

a)

24

b)

18

c)

16

d)

8

58.

To find the next term in a geometric sequence

a)

add the common difference d

b)

multiply by the common ratio r multiply by the common ratio r

59.

To find the next term in an arithmetic sequence

a)

add the common difference d

b)

multiply by the common ratio r

60.

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

a)

arithmetic (common difference d = 5)

b)

geometric (common ratio r = 5)

c)

neither (no common difference OR common ratio) neither (no common difference OR common ratio)

61.
What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?
a)
Arithmetic
b)
Geometric
c)
Neither
62.
The next term of the sequence 2,4,8,16 are
a)
64
b)
32
c)
108
d)
20
63.
The next term of the series 4,16,64 is
a)
256
b)
132
c)
120
d)
150
64.
What is the previous term for:
-6, 1, 8, 15...
a)
-13
b)
13
c)
1
d)
-12
65.

Describe the rule for this sequence

5, 12, 19, 26......

a)

Add five each time

b)

Add seven each time

c)

Subtract seven each time

d)

Add 8 each time

66.

Describe the rule for this sequence

2, 4, 8, 16

a)

add 8 each time

b)

add 4 each time

c)

add 2 each time

d)

Double the previous term

67.

What is the missing term in this sequence

4, ....., 8, 10

a)

5

b)

6

c)

7

d)

8

68.

Fill in the missing term in this sequence

2, 5, ......, 11

a)

5

b)

6

c)

7

d)

8

69.

Find the next term in this sequence

6, 8,12,18.....

a)

20

b)

22

c)

26

d)

24

70.

What is the nth term rule for the following sequence

5, 8, 11, 14.....

a)

3n

b)

3n + 2

c)

3n - 2

d)

5n + 3

71.

What is the nth term rule of this sequence

9, 13, 17, 21....

a)

4n + 5

b)

9n

c)

5n + 4

d)

5n

72.

The nth term of a sequence is 4n + 1.

What are the first 4 terms of the sequence

a)

4, 8, 12, 16

b)

5, 9, 13, 17

c)

5, 6, 7, 8

d)

4, 5, 6, 7

73.

The nth term of a sequence is 3n + 5.

What are the first 4 terms of the sequence

a)

8, 11, 14, 17

b)

8, 13, 18, 23

c)

3, 6, 9, 12

d)

5, 10, 15, 20

74.

The nth term of a sequence is 2n - 1.

What are the first 4 terms of the sequence

a)

2, 4, 6, 8

b)

1, 2, 3, 4

c)

1, 3, 5, 7

d)

2, 5, 7, 9

75.
What is the Rule for this sequence?
3, 7, 11, 15, ...
a)
+6
b)
+5
c)
+4
d)
+2
76.
What is the Rule for this sequence?
97, 86, 75, 64, ...
a)
+8
b)
+11
c)
-11
d)
-8
77.
Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...
a)
63, 72, 81
b)
79, 88, 97
c)
70, 79, 88
d)
61, 70, 79
78.
What are the next 2 terms:
1/3, 2/3, 1, 4/3...
a)
2 and 7/3
b)
5/3 and 2
c)
5/3 and 7/3
d)
none of the above
79.
What are the first 3 terms of the sequence whose nth term is: 5n-4
a)
1, 6, 11, 16, 21
b)
5, 4, 3
c)
-4, 1, 6
d)
1, 6, 11
80.
Find the 25th term if the sequence whose nth term is: 10n-51
a)
250
b)
200
c)
199
d)
159
81.
Find the nth term of...
3,5,7,9...
a)
2n+1
b)
2n-1
c)
2n+2
d)
2n-2
82.
Find the nth term of...
8,13,18,23...
a)
5n+3
b)
5n-2
c)
3n+5
d)
-2n+5
83.
Find the nth term of...
2,1,0,-1... 
a)
-3n+1
b)
-n+3
c)
-2n+4
d)
-4n+2
84.
Write an nth term rule for the following sequence:  6, 14, 24, 36, 50 
a)
n(n+5) or n2+5n
b)
2n
c)
2n+6
d)
2n2
85.

Is this a function?

a)

Yes

b)

No

86.

Is this a function?

a)

Yes

b)

No

87.

Is this a function?

a)

Yes

b)

No

88.

Is this a function?

a)

Yes

b)

No

89.

Is this a function?

a)

Yes

b)

No

90.

Is this a function?

a)

Yes

b)

No

91.

Is this a function?

a)

Yes

b)

No

92.

Is this a function?

a)

Yes

b)

No

93.

Is this a function?

a)

Yes

b)

No

94.

Is this a function?

a)

Yes

b)

No

95.

Is this a function?

a)

Yes

b)

No

96.

Is this a function?

a)

Yes

b)

No

97.
What is the y-intercept in the equation x + 2y = 4
a)
(0, 0)
b)
(0, 2)
c)
(4, 0)
d)
(2, 0)
98.
Write the equation of a circle with center (7, 0) with radius 3.
a)
(x - 7)2 + y2 = 9
b)
x2 + (y -7)2 = 9
c)
(x - 7)2 + y2 = 3
d)
x2 + (y -7)2 = 3
99.

What is g(-2) if:

a)

-7

b)

7

c)

1

d)

-1

100.
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
101.
Does the equation open up or down? 
Y = -3x2 +7x - 2
a)
up
b)
down
c)
both 
d)
neither
102.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
103.
Write 2x+y=24 in slope-intercept form.
a)
y = 2x-24
b)
y = -2x+24
c)
y = 1/2 x + 24
d)
y = -1/2 x + 24 
104.
Identify the domain:
f(x) = √x
a)
(-oo, oo)
b)
[0, oo)
c)
(0, oo)
d)
x ≠ 0
105.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
106.

Is this an even, odd, or neither function? f(x)=7x89x2+33f\left(x\right)=7x^8-9x^2+33  

a)

Even Function

b)

Odd Function

c)

Neither

d)

Not a function

107.

Which is the graph of

y=23x4y=\frac{2}{3}x-4  ?

a)

A

b)

B

c)

C

d)

D

108.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
109.

All odd functions have symmetry with respect to the origin.

a)

True

b)

False

110.

Which of the following thoughts are also indicative of the zero of a function?

a)

x-intercept(s)

b)

y-intercept(s)

c)

rate of change

d)

correlation

111.
A line is perpendicular to    y = 2x - 7.
What is the slope of this line? 
a)
-2
b)
1/2
c)
-1/2
d)
2
112.

Consider f(x) = 3x + 8 and g(x) = x + 8


Evaluate f(x) - g(x)

a)

4x + 16

b)

2x + 16

c)

4x

d)

2x

113.

If f(x)=2xf\left(x\right)=2x   and  g(x)=2x21g\left(x\right)=2x^2-1   find f(g(3))f\left(g\left(3\right)\right)  

a)

34

b)

71

c)

35

d)

142

114.

If f(x)=2xf\left(x\right)=2x   and  g(x)=2x21g\left(x\right)=2x^2-1   find f(g(x))f\left(g\left(x\right)\right)  

a)

4x214x^2-1  

b)

4x224x^2-2  

c)

8x218x^2-1  

d)

16x2116x^2-1  

115.

How do you find the y-intercept?

a)

replace all x-values with 0

b)

replace all y-values with 0

c)

set denominator equal to 0

d)

compare the degrees of the numerator and denominator

116.

What is the gradient in the equation? 

y=4 + 2xy=4\ +\ 2x  

a)

2

b)

-2

c)

4

d)

-4

117.

Which equation represents the line shown on the coordinate plane? 

a)

𝑦=25𝑥2𝑦=\frac{2}{5}𝑥−2  

b)

𝑦=25𝑥+5𝑦=\frac{2}{5}𝑥+5  

c)

y=25𝑥+5y=-\frac{2}{5}𝑥+5  

d)

𝑦=25𝑥2𝑦=−\frac{2}{5}𝑥−2  

118.

What is the equation of the line whose gradient is -1 and whose y – intercept is -5?

a)

y=x 5y=-x\ -5

b)

y=5x1y=-5x-1

c)

y=x+5y=-x+5

d)

y=5x+1y=5x+1

119.

Find the gradient of the line.

a)
4/2
b)
-4/2
c)
2
d)
-2
120.

Find the gradient of the line.

a)
Undefined
b)
0
c)
1/1
d)
-1/1
121.

Choose the correct graph to represent the following linear equation

a)

b)

c)

d)

122.

Choose the correct graph to represent the following linear equation

a)

b)

c)

d)

123.
What is the y-intercept of the equation y=3x-5
a)
5
b)
3
c)
-5
d)
1
124.

What is the algebraic equation for the following table?

a)

y = x + 3

b)

y = 3x

c)

y = x ÷ 3

d)

y = x - 3

125.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
126.

Find the value of 3x3x  when  x=64x=64  

a)

192

b)

32

c)

304

d)

604

127.

Find the value of  2x12x-1  when  x=27x=27  

a)

26

b)

23

c)

53

d)

56

128.

Find the value of  4x+34x+3  when  x=44x=44  


a)

15

b)

179

c)

125

d)

215

129.

Find the value of  3x53x-5  when  x=31x=31  

a)

52

b)

58

c)

68

d)

88

130.

Find the value of 807x80-7x  when  x=3x=3  

a)

69

b)

39

c)

79

d)

59

131.

Find the value of  302x30-2x  when  x=8x=8  

a)

24

b)

14

c)

4

d)

34

132.

Find the valueo of  1003x100-3x  when  x=19x=19  

a)

33

b)

43

c)

53

d)

23

133.

Find the value of  506x50-6x  when  x=2x=2  

a)

58

b)

68

c)

38

d)

48

134.

Give the equation of the horizontal line going through  (0,5)\left(0,5\right)  

a)

y=5y=5  

b)

y=0y=0  

c)

y=0.5y=0.5  

d)

y=5.0y=5.0  

135.

Give the equation of the horizontal line going through  (7,0)\left(7,0\right)  

a)

y=0.7y=0.7  

b)

y=7.0y=7.0  

c)

y=7y=7  

d)

y=0y=0  

136.

Give the equation of the horizontal line going through  (0,3)\left(0,3\right)  

a)

x=0.3x=0.3  

b)

y=0.3y=0.3  

c)

x=3x=3  

d)

y=3y=3  

137.

Give the equation of the vertical line going through  (2,0)\left(2,0\right)  

a)

y=0y=0  

b)

y=2y=2  

c)

x=0x=0  

d)

x=2x=2  

138.

Solve the equation  2x=362x=36  

a)

x=15x=15  

b)

x=19x=19  

c)

x=18x=18  

d)

x=72x=72  

139.

Solve the equation  4x=684x=68  

a)

x=34x=34  

b)

x=7x=7  

c)

x=17x=17  

d)

x=27x=27  

140.

Solve the equation  3x=813x=81  

a)

x=27x=27  

b)

x=7x=7  

c)

x=42x=42  

d)

x=19x=19  

141.

Solve the equiation  6x=906x=90  

a)

x=9x=9  

b)

x=45x=45  

c)

x=15x=15  

d)

x=35x=35  

142.

Solve the equiation  13x=913-x=9  

a)

x=22x=22  

b)

x=4x=4  

c)

x=5x=5  

d)

x=31x=31  

143.

Solve the equation  7x=57-x=5  

a)

x=2x=-2  

b)

x=35x=35  

c)

x=2x=2  

d)

x=12x=12  

144.

Solve the equation  4x=14-x=1  

a)

x=5x=-5  

b)

x=3x=3  

c)

x=5x=5  

d)

x=3x=-3  

145.

Solve the equation  23x=1623-x=16  

a)

x=39x=39  

b)

x=7x=-7  

c)

x=39x=-39  

d)

x=7x=7