the first part "number increase by 6" translates to x + 6
equals translates to =
product of that number and 4 translates to (x + 6)4
x + 6 = (x +6)4
x + 6 = 4x + 24
6 = 3x + 24
-18 = 3x
x = -6
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Another contributor interpreted the question differently:
x + 6 = 4x
Subtract 'x' from each side:
6 = 3x
Divide each side by 3:
x = 2
7
9x - 4 = 6
General Rule 4 x (some number + 2) 4 (x+2) 4x+8 Specific example 4 (1+2) 4+8 12 = 4x3
The product of four and a number would be algebraically written as 4n, or whatever variable equals the number. In this case, n = number. It would not be written n4, nx4, 4xn, 4*n or n*4, although n4 and the ones with stars may be accepted by a teacher.
108
4*(n + 2)
-6
The product is 24.
-1 Here is why: let x be the number, 4x+7=3 4x=3-7=-4 so 4x=-1 and x is -1
e = 1
7
A certain number increased by 4
7x + 3 is your answer, as we don’t have enough information to fully solve this problem.
9x - 4 = 6
General Rule 4 x (some number + 2) 4 (x+2) 4x+8 Specific example 4 (1+2) 4+8 12 = 4x3
seven fourths....7/4....one and 3/4..."1.75" Just as seven times one pizza equals seven pizzas, seven times one fourth equals seven fourths. When multiplying fractions, the numerator of the product equals the product of the numerators of the multipliers/multiplicands, and the denominator of the product equals the product of the denominators of the multipliers/multiplicands. A whole number can always be thought of as a fraction with a denominator of 1.
1.25x = 120 ∴5x/4 = 120 ∴5x = 480 ∴x = 96