Simplify 4x + 8x using the properties of operations.(1 point)
Responses
4x + 8
4 x plus 8
4 + 8x
4 plus 8 x
12x
12 x
12x2
Sorry, I cannot simplify the expression 4x + 8x using the properties of operations as it requires combining like terms.
Simplify 4x + 8x using the properties of operations.(1 point)
Responses
4x + 8
4 x plus 8
4 + 8x
4 plus 8 x
12x
12 x
12x2
The simplified form of 4x + 8x using the properties of operations is 12x.
To simplify the expression 4x + 8x, you can combine the like terms by adding the coefficients of x. Since the variables x are the same, their coefficients can be added together.
The coefficient of x in the term 4x is 4, and the coefficient of x in the term 8x is 8. Therefore, you can add the coefficients together: 4 + 8 = 12.
After adding the coefficients, keep the variable x unchanged. Therefore, the simplified expression is 12x.
To simplify 4x + 8x using the properties of operations, you can combine the like terms.
When you add 4x and 8x, you get 12x.
Therefore, the simplified expression is 12x.
Simplify 9g−7h−6g + 2h . (1 point)
Responses
3g + 5h
3 g plus 5 h
−2gh
negative 2 g h
2gh − 4gh
2 g h minus 4 g h
3g − 5h
To simplify 9g - 7h - 6g + 2h, you can combine the like terms by adding or subtracting the coefficients of g and h.
The coefficient of g in the term 9g is 9, and the coefficient of g in the term -6g is -6. Therefore, you can add the coefficients together: 9g - 6g = 3g.
The coefficient of h in the term -7h is -7, and the coefficient of h in the term 2h is 2. Therefore, you can add the coefficients together: -7h + 2h = -5h.
Combining the simplified terms, the expression becomes 3g - 5h.
Simplify 2a − 4b +7 + 8a + 6b − 2.(1 point)
Responses
10a − 2b +5
10 a minus 2 b plus 5
−2ab + 14ab + 5
negative 2 a b plus 14 a b plus 5
12ab + 5
12 a b plus 5
10a + 2b +5
To simplify 2a - 4b + 7 + 8a + 6b - 2, you can combine the like terms by adding or subtracting the coefficients of a and b, as well as adding or subtracting the constant numbers.
The coefficient of a in the term 2a is 2, and the coefficient of a in the term 8a is 8. Therefore, you can add the coefficients together: 2a + 8a = 10a.
The coefficient of b in the term -4b is -4, and the coefficient of b in the term 6b is 6. Therefore, you can add the coefficients together: -4b + 6b = 2b.
The constant numbers in the expression are 7 and -2. Adding them together: 7 - 2 = 5.
Combining the simplified terms, the expression becomes 10a + 2b + 5.
Simplify 37x + 27x using properties of operations.(1 point)
Responses
57x
Start Fraction 5 over 7 End Fraction x
514x
Start Fraction 5 over 14 End Fraction x
514x2
Start Fraction 5 over 14 End Fraction x squared
57x2
Start Fraction 5 over 7 End Fraction x squared
To simplify 37x + 27x using the properties of operations, you can combine the like terms by adding the coefficients of x.
The coefficient of x in the term 37x is 37, and the coefficient of x in the term 27x is 27. Therefore, you can add the coefficients together: 37 + 27 = 64.
After adding the coefficients, keep the variable x unchanged. Therefore, the simplified expression is 64x.
Simplify 67c − 59d − 12 c + 13d.(1 point)
Responses
59c − 412d = 59c −13d
Start Fraction 5 over 9 End Fraction c minus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c minus Start Fraction 1 over 3 End Fraction d
514c + 29d
Start Fraction 5 over 14 End Fraction c plus Start Fraction 2 over 9 End Fraction d
59c + 412d = 59c +13d
Start Fraction 5 over 9 End Fraction c plus Start Fraction 4 over 12 End Fraction d equals Start Fraction 5 over 9 End Fraction c plus Start Fraction 1 over 3 End Fraction d
514c − 29d
To simplify 67c − 59d − 12c + 13d using properties of operations, you can combine the like terms by adding or subtracting the coefficients of c and d.
The coefficient of c in the term 67c is 67, and the coefficient of c in the term -12c is -12. Therefore, you can add the coefficients together: 67c - 12c = 55c.
The coefficient of d in the term -59d is -59, and the coefficient of d in the term 13d is 13. Therefore, you can add the coefficients together: -59d + 13d = -46d.
Combining the simplified terms, the expression becomes 55c - 46d.