Constructing Expressions
5 more than product of 6 and p
5 + 6p
5x + 3x + 11x - 9
19x - 9
a = 5, b = 7, c = 11
Find ab - c
24
3x - 11 = 7
x = 6
5 more than 6 times a number is 29. What is the number?
5 + 6x = 29
Number = 4
7 less than sum of 2m and 3n
2m + 3n - 7
3x + 9y - 7z - 11x - y + 20z
-8x + 8y + 13z
a = -3 , b = -5 , c = 10
Find ab2 - 3bc
75
4 (2x - 5) = 21
x = 41/8
James is 6 years older than his brother, Al. The sum of their ages is 30. Find their ages.
Al is x
x + x + 6 = 30
x = 12
Al is 12, James is 18
sum of 1st 5 prime numbers and the squares of 5 and x
53 + x2
5 (2p - 3q) + 4 (5q - p) - 7p
-p + 5q
x = 5, y = -1 , z = -9 , a = -3
Find 3ay - z2 + ax
-87
7 (3x - 1) - 5 = 2 (1 - x)
x = 14/23
The cost of 5 apples and 8 mangoes is $20.90. Each apple cost 50 cents less than a mango. Find the cost of 3 apples and 5 mangoes.
1 apple = $1.30
1 mango = $1.80
3 apples & 5 mangoes = $12.90
the total cost of buying 6 pens at x dollars each and y pencils at (2x - 7) cents each
6(100x) + y (2x - 7)
= 600x + 2xy - 7y
10 - 3 (2m - 3n + 2) - (10n - 5m + 2)
2 - m - n
p = 9 , q = 8 , r = -10 , c = -8 , d = 4
Find (pq - 3cr + cr/4) รท (r2 + p - q)
-148/101
[3 (2x - 3)]/4 - 1 = 11
x = 9.5
I think of three numbers. The second number is 10 less than 3 times the first number and the third number is 2 more than the second number.
The sum of the 3 numbers is 102.
Find the three numbers.
The numbers are 13, 29, 60.
the quotient of the difference between p and q, and the square of the sum of p and 2q
(p - q) / (p + 2q)2
6x ( 3x - 2y + 5) - 3y (7 - 2x) - 1/3 (6x - 12y + 9)
18x2 - 6xy + 28x - 17y - 3
a = 1/2 , b = 1/5 , c = -10 , d = - 4
Find abc - ad + b (c - ad)2
13.8
5 - 2 (3x + 7) - (1 - 4x) = 3x/2 + 10 ( x - 3)
x = 40/27
A track surrounds a field which is (x + 50) m by xm. The track is 5 metres wide. Find the area of the track.
(x + 60)(x + 10) - x (x + 50)
= x2 + 10x + 60x + 600 - x2 - 50x
= 20x + 600