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Algebraic Equations and Simple Inequalities
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If 'y' denotes unknown value and is decreased by five, result will be 20 then equation for this statement can be written as
y - 5 = 20
5y = 20
y = 15
5y - y = 20
Milliliters in 'z' liters of orange juice will be
1000z
200z
2000z
100z
Numerator of fraction is 3 less thandenominator.
If 5 is subtracted from both numerator and denominator, fraction becomes 4⁄5. fraction was
11⁄20
17⁄20
11⁄15
9⁄13
By solving equation 5x + 10.8 = 16.3, value of 'x' will be
5.1
1.1
2.1
4.1
By solving equation 4
(a +
5) = 80, value of 'a' must be
17
16
15
18
Considering formula 1⁄w = 1⁄x + 1⁄y + 1⁄z, then if x = 5, y = 10, and z = 15, value of 1⁄w is
30⁄11
20⁄11
11⁄30
11⁄20
On solving equation -9m - 48 = -75, value of 'm' will be
3
11
5
7
If cost of one comic book is $10 then total cost of 'x' comic books is
2(10 - x)
2(10 + x)
10 + x
10x
By solving equation 6
(9.3 - 3x) = 28x, value of 'x' will be
5.213
4.213
3.213
1.213
Considering formula a = bc + cd + f + g⁄bcd, then if value of b = 2, c = 3, d = -3, f = 1, g =-2, value of 'a' will be
2⁄9
2⁄7
1⁄4
4⁄9
By solving equation 3⁄4x - 2 = 6⁄6x + 4, value of 'x' will be
2⁄5
2⁄3
12 1⁄19
4⁄3
By solving inequality 5a > -20, answer will be
a > -7
a > -4
a > -6
a > 5
If 10 is subtracted from certain number and result is multiplied by 2 result is 56 then equation will be
(a - 10) = 56 x 2
(a - 10) x 2 = 56
20a = 56
(a + 10) x 2 = 56
By solving equation x -5⁄x + 6 = 4⁄6, value of 'x' will be
17
11
13
15
If total sum of money to be divided in three siblings Ana, Ben and Mary is $6000, Ana receives two times as much as Ben receives and Mary receives three times as much asBen.
If Ben receives '$y' then derived equation will be
2 + 3 + 1 = 6000y
2y + y + 3y = 6000
2y - y - 3y = 6000
2 - 3 - 1 = 6000y
By solving inequality 4.5a < 18, answer will be
a < 4
a < 10
a < 11
a < 8
If 12 is added into a certain number and result is then divided by 2, result is 20 then derived equation will be
(12b)⁄2 = 20
24b = 20
(b + 12)⁄2 = 20
(b - 12)⁄2 = 20
By solving equation -y⁄9 - 6 = 14, value of 'y' is
90
−180
−90
180
Total cost 'T', of chocolate cupcakes 'c' at $x each and total cost of vanilla cupcakes 'v' at $y each will be
T = cy + vx
T = xy(c - v)
T = xy(c + v)
T = cx + vy
If a car travels 'x' hours at 'y' km⁄h then distance travelled by car 'z' is equal to
z = xy
z = x + y
z = y⁄x
z = x⁄y
1
2
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