Simplify the following:
4(x + z) + 8
4x + 4z + 8
2(x - 7) = 10
x = 12
6 + 10x - 4x -x = 1
x = -1
-7y + 12 - 2y = - 6
y = 2
Tristan picks a marble at random. Without putting the first marble back, he picks another marble at random. Are the two event dependent or independent?
Dependent
Simplify the following:
2z + 5z - 3y + y
7z - 2y
5(x + 2) = -20
x = -2
-7x - 10 = -8x - 4x
x = 2
2(x - 8) + 10x - 7x = 39
x = 11
Students in a composition class may select certain topics on which to write an essay. Repeats are allowed, and they do not need to inform the teacher of their choice prior to the due date of the essay. Are these two events dependent or independent?
Independent
Simplify the following:
6(2a - 3b) + 2(-4b + 2) -3
12a - 26b + 1
3(2 + x) -5x = 16
x = -5
10 = -2x + 4x + 8x
x = 1
-3(v + 4) - 2v = - 37
v = 25
Riley calls a bakery and orders a custom cake with a certain design. Later that day, Josiah calls to order a custom cake.
Are these two events dependent or independent?
Independent
Simplify the following:
7y3 + 8(3y - 4y2) + 2x2
24y - 30y2 + 7y3
-152 = 4x - 4(6x + 13)
x = 5
13 + 4x + 3x - 3x = 1
x = -3
17 = 4(n + 11) + 5n
n = -3
Annie and Simon get haircuts from the same stylist. Annie calls before lunch to book one of the open appointment times. After lunch, Simon calls and chooses from among the remaining appointments.
Are these two events dependent or independent?
Dependent
Simplify the following:
2(4 + 2x) + 3x3
3x3 + 4x + 8
5x + 2(1 - x) -4x = - 2
x = 4
-5 + 7 + 8 = 2x + 3x
x = 5
3 = 6b + 5 - 5b
b = -2
A third grade teacher is assigning parts for the class play. Bryant's role will be selected first, and Peter will be assigned a role next.
Are these two events dependent or independent?
Dependent