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WorksheetsAlgebraic Terms, Simplifying, Expanding & Factoring Yr 10 IGCSE
Total questions: 50
Worksheet time: 56mins
Name
Class
Date
1.
5(a + 6)
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
2.
3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
3.
9(2g + 3)
a)
18g + 27
b)
18g - 27
c)
-18g - 27
d)
18g - 18
4.
10(8-2x)
a)
80+20x
b)
80-20x
c)
-80+20x
d)
-80-20x
5.
5(2x-11)
a)
-10x-55
b)
10x-55
c)
55-10x
d)
10x+55
6.
-3(2c - 5)
a)
-6c - 15
b)
6c + 15
c)
-6c + 15
d)
6c - 15
7.
Which of the following is equivalent to 8h +7(2 + 4h)?
a)
90h
b)
12h + 14
c)
50h
d)
36h +14
8.
Expand and Simplify 2(x+2)+5(x+3)
a)
7x+5
b)
7x+17
c)
7x+19
d)
7x+13
9.
Expand and Simplify 2(x+2)-2(x+3)
a)
-2
b)
4x+8
c)
2
d)
4x-6
10.
Expand (x + 5)(x + 4)
a)
x2 + 9x + 20
b)
x2 + 20x + 20
c)
5x2 + 20
d)
x2 + 6x + 9
11.
Expand (x + 5)(x - 3)
a)
x2 - 15
b)
x2 + 2x
c)
x2 + 15x - 15
d)
x2 + 2x - 15
12.
-5x3(7-2x2)
a)
-35x3+10x5
b)
-10x5-35x3
c)
-10x5+35x3
d)
10x5+35x3
13.
(3-2x)(5-4x)
a)
15+2x+8x2
b)
20+2x+8x2
c)
15-22x+8x2
d)
15+2x-8x2
14.
(2x+3)(x-5)
a)
2x2-2x-15
b)
2x2-2x-15
c)
2x2-7x-15
d)
2x2-7x+15
15.
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
16.
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
17.
Factor Completely:
x4-9x2
Hint: Factor GCF first.
x4-9x2
Hint: Factor GCF first.
a)
x2(x+3)(x-3)
b)
(x2+3x)(x2-3x)
c)
(x2+9)(x-3)(x+3)
d)
x2(x2-9)
18.
Factor:
2n2-8n3
2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n)
c)
2n3(10-8n2)
d)
3n(1-4n)
19.
Factor out the GCF:
12x + 6
12x + 6
a)
6(2x + 1)
b)
3(4x + 2)
c)
6x(2x + 1)
d)
2(6x + 3)
20.
Is 5 prime or composite?
a)
Prime
b)
Composite
21.
A prime number
a)
has one factor
b)
has more than 2 factors
c)
has 100 factors
d)
has exactly 2 factors: 1 and the number
22.
All of these are prime except
a)
3
b)
9
c)
2
d)
13
23.
Which number is a factor of 18
a)
4
b)
7
c)
6
d)
12
24.
Which number is a factor of 21
a)
8
b)
9
c)
6
d)
3
25.
Which number is a factor of 24
a)
9
b)
7
c)
11
d)
12
26.
List all the factors of 12
a)
1, 2, 3, 4, 6, 12
b)
1, 2, 4, 12
c)
1, 12
d)
1, 2, 3, 4, 5, 6, 12
27.
What are the factors of 25?
a)
1, 2, 3, 5, 10, 15, 25
b)
1, 5, 25
c)
1, 25
d)
1, 5
28.
Find the greatest common factor of 24 and 48
a)
4
b)
12
c)
24
d)
48
29.
Find the greatest common factor of 20 and 30
a)
2
b)
5
c)
10
d)
15
30.
6w - 6w + 6w + 9w
a)
w
b)
15w
c)
9w
d)
6w
31.
3 - 2a + 3a + 5a
a)
5a+3
b)
5a-3
c)
6a + 3
d)
8a+3
32.
−x2+2−1+6x2−4x2
a)
x 2 -1
b)
x2 +1
c)
3x2 +1
d)
x 2+3
33.
Simplify:6b + 7b - 10
a)
3b
b)
13b - 10
c)
13b2 - 10
d)
3b2
34.
Simplify the following expression:
a - 8 - 10
a - 8 - 10
a)
2a - 18
b)
a - 18
c)
a - 2
d)
a + 18
35.
Simplify the following expression:
-10x + 15 - 3x + 2
-10x + 15 - 3x + 2
a)
13x2 + 17
b)
-13x2 + 13
c)
-13x + 17
d)
-7x + 17
36.
Simplify the following expression:
-7x - 9x
-7x - 9x
a)
63x2
b)
-16x2
c)
-16x
d)
-15x
37.
In the equation 5y - 4 = 25, identify the variable.
a)
25
b)
4
c)
5
d)
y
38.
In the equation, 3x - 9 = 20, what is the coefficient?
a)
3
b)
x
c)
-9
d)
9
39.
9 - 3z = 44 What is one of the constants?
a)
9
b)
3
c)
-3
d)
z
40.
In the equation 5 - 12x = 90, what is the coefficient?
a)
12
b)
5
c)
-12
d)
-5
41.
A letter that represents an unidentified number
a)
term
b)
variable
c)
factor
d)
like terms
42.
A math phrase that contains numbers, variables and operations
a)
Expression
b)
Equation
43.
the number multiplied by the variable or term
a)
variable
b)
term
c)
factor
d)
coefficient
44.
A math statement that says that 2 things are equal
a)
Expression
b)
Equation
45.
x,y,a,s,t... These are called
a)
variable expressions
b)
variables
c)
equations
d)
coefficients
46.
In the equation 3x=5 the 3 is called the
a)
variable
b)
term
c)
coefficient
d)
constant
47.
A group of variables, constants and operations that includes an equals sign
a)
variable
b)
variable expression
c)
equation
d)
constant
48.
In 3x=12, the x is called the
a)
coefficient
b)
variable
c)
constant (term)
d)
equation
49.
A symbol for an unknown value is called a _______________. It is usually a letter such as a, X or Y.
a)
Constant
b)
Coefficient
c)
Operator
d)
Variable
50.
An __________________ includes a combination of TERMS separated by at least 1 operator, Examples: 2x+7, y–3, 7w+3, 8ab+9,
a)
Constant
b)
Coefficient
c)
Term
d)
Expression
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