12e − 5f − 7e +3f
To simplify the expression 12e - 5f - 7e + 3f, we can combine like terms:
12e - 7e - 5f + 3f
Simplifying the e terms: 12e - 7e = 5e
Simplifying the f terms: -5f + 3f = -2f
Final simplified expression: 5e - 2f
9x + 3y − 6 − 5x + 4y −3
To simplify the expression 9x + 3y - 6 - 5x + 4y - 3, we can combine like terms:
9x - 5x + 3y + 4y - 6 - 3
Simplifying the x terms: 9x - 5x = 4x
Simplifying the y terms: 3y + 4y = 7y
Combining the constant terms: -6 - 3 = -9
Final simplified expression: 4x + 7y - 9
Question
Simplify 3/10x + 1/6y + 3/10x + 3/6y
. Be sure to reduce any fractions to the lowest terms.(1 point)
To simplify the expression 3/10x + 1/6y + 3/10x + 3/6y, we can combine like terms:
3/10x + 3/10x + 1/6y + 3/6y
Combining the x terms: 3/10x + 3/10x = 6/10x = 3/5x
Combining the y terms: 1/6y + 3/6y = 4/6y = 2/3y
Final simplified expression: 3/5x + 2/3y
Simplify 4x + 8x using the properties of operations.
To simplify the expression 4x + 8x, we can combine like terms:
4x + 8x
Combining the x terms: 4x + 8x = 12x
Final simplified expression: 12x
Simplify 9g−7h−6g + 2h . (1 point)
Responses
3g − 5h
3 g minus 5 h
−2gh
negative 2 g h
2gh − 4gh
2 g h minus 4 g h
3g + 5h
To simplify the expression 9g - 7h - 6g + 2h, we can combine like terms:
9g - 6g - 7h + 2h
Simplifying the g terms: 9g - 6g = 3g
Simplifying the h terms: -7h + 2h = -5h
Final simplified expression: 3g - 5h
Simplify 2a − 4b +7 + 8a + 6b − 2.
To simplify the expression 2a - 4b + 7 + 8a + 6b - 2, we can combine like terms:
2a + 8a - 4b + 6b + 7 - 2
Simplifying the a terms: 2a + 8a = 10a
Simplifying the b terms: -4b + 6b = 2b
Combining the constant terms: 7 - 2 = 5
Final simplified expression: 10a + 2b + 5
Simplify 67c − 59d − 12 c + 13d.
To simplify the expression 67c - 59d - 12c + 13d, we can combine like terms:
67c - 12c - 59d + 13d
Simplifying the c terms: 67c - 12c = 55c
Simplifying the d terms: -59d + 13d = -46d
Final simplified expression: 55c - 46d
Simplify 6/7c − 5/9d − 1/2 c + 1/3d.
To simplify the expression 6/7c - 5/9d - 1/2c + 1/3d, we can combine like terms:
6/7c - 1/2c - 5/9d + 1/3d
Combining the c terms: 6/7c - 1/2c = (12/14)c - (7/14)c = 5/14c
Combining the d terms: -5/9d + 1/3d = (-15/27)d + (9/27)d = (-6/27)d
Simplifying the fraction: -6/27 = -2/9
Final simplified expression: 5/14c - 2/9d