name the property that is illustrated by the statement below: 2+(7+3)=(2+7)+3
commutative
identity
associative
distributive
associative
evaluate the expression 3b-ac when a=-2, b=3, and c=0.5
When a = -2, b = 3, and c = 0.5, we can substitute these values into the expression 3b - ac:
3b - ac = 3(3) - (-2)(0.5)
= 9 + 1
= 10
Therefore, when a = -2, b = 3, and c = 0.5, the value of the expression 3b - ac is 10.
evaluate the expression 5x^2+2y when x=-3 and y =0.25
When x = -3 and y = 0.25, we can substitute these values into the expression 5x^2 + 2y:
5x^2 + 2y = 5(-3)^2 + 2(0.25)
= 5(9) + 0.5
= 45 + 0.5
= 45.5
Therefore, when x = -3 and y = 0.25, the value of the expression 5x^2 + 2y is 45.5.
evaluate the expression 3mn/-2p when m=1/3, n=-3, and p=3
When m = 1/3, n = -3, and p = 3, we can substitute these values into the expression 3mn/-2p:
3mn/-2p = 3(1/3)(-3)/(-2)(3)
= 1(-3)/(-2)(3)
= -3/(-6)
= 1/2
Therefore, when m = 1/3, n = -3, and p = 3, the value of the expression 3mn/-2p is 1/2.
which expression is equivalent to: (3xy-2xz+yz)+(2xy-4xz-5yz
To simplify the given expression, we can combine like terms:
(3xy - 2xz + yz) + (2xy - 4xz - 5yz)
Combining like terms:
3xy + 2xy - 2xz - 4xz + yz - 5yz
Rearranging the terms:
(3xy + 2xy) + (-2xz - 4xz) + (yz - 5yz)
Simplifying further:
5xy - 6xz - 4yz
Therefore, the expression that is equivalent to (3xy - 2xz + yz) + (2xy - 4xz - 5yz) is 5xy - 6xz - 4yz.
which expression is equivalent to: 5x^2 +3x-2x^2+4x
To simplify the given expression, we can combine like terms:
5x^2 + 3x - 2x^2 + 4x
Combining like terms:
(5x^2 - 2x^2) + 3x + 4x
Simplifying further:
3x^2 + 7x
Therefore, the expression that is equivalent to 5x^2 + 3x - 2x^2 + 4x is 3x^2 + 7x.
which expression is equivalent to: -3(2x+5)+7
To simplify the given expression, we can use the distributive property:
-3(2x + 5) + 7
-3 * 2x + (-3) * 5 + 7
-6x - 15 + 7
-6x - 8
Therefore, the expression that is equivalent to -3(2x + 5) + 7 is -6x - 8.
simplify 12(x+4)
To simplify 12(x + 4), we use the distributive property:
12(x + 4) = 12 * x + 12 * 4
Simplifying further:
12x + 48
Therefore, the simplified form of 12(x + 4) is 12x + 48.
simplify -2(2x-5)
To simplify -2(2x - 5), we can use the distributive property:
-2(2x - 5) = -2 * 2x + (-2) * (-5)
Simplifying further:
-4x + 10
Therefore, the simplified form of -2(2x - 5) is -4x + 10.
simplify 1/2(6x+10)
To simplify 1/2(6x + 10), we can use the distributive property:
1/2(6x + 10) = (1/2) * 6x + (1/2) * 10
Simplifying further:
3x + 5
Therefore, the simplified form of 1/2(6x + 10) is 3x + 5.
simplify 3(8-5x)+2x
To simplify 3(8 - 5x) + 2x, we can use the distributive property:
3(8 - 5x) + 2x = 3 * 8 - 3 * 5x + 2x
Simplifying further:
24 - 15x + 2x
Combining like terms:
-13x + 24
Therefore, the simplified form of 3(8 - 5x) + 2x is -13x + 24.
simplify 5x-4(2+3x)
To simplify 5x - 4(2 + 3x), we can use the distributive property:
5x - 4(2 + 3x) = 5x - (4 * 2) - (4 * 3x)
Simplifying further:
5x - 8 - 12x
Combining like terms:
-7x - 8
Therefore, the simplified form of 5x - 4(2 + 3x) is -7x - 8.
is -7+9=-9+7 true false or open
The expression -7 + 9 = -9 + 7 is true.
is 4x-3=19 true false or open
To determine if the equation 4x - 3 = 19 is true, we need to solve it:
4x - 3 = 19
Adding 3 to both sides:
4x = 22
Dividing both sides by 4:
x = 5.5
The equation is true when x = 5.5. Therefore, the statement 4x - 3 = 19 is false.
slove 16=4x-4
To solve the equation 16 = 4x - 4, we need to isolate the variable x.
Adding 4 to both sides:
16 + 4 = 4x - 4 + 4
20 = 4x
Dividing both sides by 4:
20/4 = 4x/4
5 = x
Therefore, the solution to the equation 16 = 4x - 4 is x = 5.