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Algebraic language and exercises
Half difference of two numbers
(2m - n) + (2m - 2n)
Algebraic language and exercises
20 terms
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The basics of algebra
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Answers
1
(2m - n) + (2m - 2n)
n
3n-4m
n+m
4m - 3n
2
Half difference of two numbers
2(a+b)
(a-b)/2
1/2(a+b)
2(a-b)
3
Difference of the sextuple of a square of a number minus the cube of the same number
6a+a
6a5
6a3-a2
6a2-a3
4
Quotient of
n
over
d
n∕d
d/n
nd
(nd)/2
5
Sum of the quotient of two numbers plus half its product
(b/a)(1/2)
a/b+(ab)/2
2(a+b)
a/b-(ab)/2
6
(a+b)/c
Quotient of the product of two numbers over another number
Square binomial
Quotient of a over b
Quotient of the sum of two numbers over another number
7
(2x - 7y +15) - (3x - 5y +16) =
-x + 2y + 31
-x - 12y - 1
x - 12y - 1
-x - 2y - 1
8
Product of three numbers
abcd
abc
a+bc
ab+c
9
Twice a number plus the triple of another one
5a+7b
2a+3b
2ab
a+b
10
Product of a number times the cube of another one
ab
ab3
ab2
a-b
11
-5 + [-3a - {b + [-a + (2a - b) - (-a + b)] + 3b} +4a]
-5 - a - b
-5 + a + 4b
-5 - b
-5 - a - 2b
12
-5a - {3a + 6b + [c - 5 - 2(a - b + 5) - (2 - 5a + c)] - 8a}=
2a - 8b - 17
-2a - 8b + 2
-3a - 8b + 17
-3a + 8b - 2
13
-3x - (1/2){2 + 5[ -(2/5)(x + 6y - 5) - (1/5)(2y + 10) + 4x]}=
-5x + 7y - 1
-5x + 7y + 1
-12x + 7y - 1
-12x + 14y + 1
14
Quintuple the difference of two numbers
a-5b
5(a-b)
(a-b)/5
5a-b
15
x - {3x - [2x - (3x + y)]}=
3x - y
-3x - y
3x + y
-3x + y
16
(a-b)
3
A square binomial
Difference of two numbers to the cube
The addition of two numbers
Three times the difference of two numbers
17
- {2x - [3y - 2 - (2x - 3y + 1)]}
6y + 3
4x + 6y +1
-4x +6y - 3
-6y - 1
18
(20a
2
- 10ab + b
2
) - [4(a
2
+ 3y
2
) - (10ab - 5b
2
)]=
16a2 - 20ab + 12y
16a2 - 4ab + 12y
16a2 + 6b2 - 12y
16a2 - 4b2 - 12y
19
[(x + 3y) - x] - [x - (x - 3y)]=
x
0
6y
x + y
20
(6x + y) - [(2x - 5y) - (5x - 8y)]
-x - 12y
9x -12y
-x + 3y
9x - 2y