REQUIRED
2
24.
Which expressions are NOT equivalent to −4x + 32? Select two answers.
a) -4(x – 8)
b) -(4x + 32)
c) -−\frac{1}{4}
4
1
(16x - 128)
d) -8(\frac{1}{2}
2
1
x – 4)
e) 16(-−\frac{4}{16}
16
4
x + 2)
f) -4(x + 32)
REQUIRED
1
25.
Rewrite the linear expressions by factoring out the greatest common factor.
64x – 24
a) 2(32x – 12)
b) 4(16x – 6)
c) 8(8x – 3)
d) 24(40x – 1)
REQUIRED
1
26.
Rewrite the linear expressions by factoring out the greatest common factor.
-x – 10
a) x(-1 - 10)
b) -x(1 + 10)
c) 10(-1x – 1)
d) -1(x + 10)
REQUIRED
d) -1(x + 10)
Why is math sooo hard???? we aren't even going to use this in the real world -_-
24. The expressions that are NOT equivalent to -4x + 32 are b) -(4x + 32) and f) -4(x + 32).
25. The expression 64x - 24 can be factored out by dividing both terms by their greatest common factor, which is 8. So, the correct answer is c) 8(8x - 3).
26. The expression -x - 10 can be factored out by multiplying both terms by -1. So, the correct answer is d) -1(x + 10).
24. To determine which expressions are NOT equivalent to −4x + 32, we need to simplify each expression and see if it matches the given expression.
a) -4(x – 8): To simplify, distribute the -4 to get -4x + 32. This expression is equivalent to the given expression.
b) -(4x + 32): To simplify, distribute the -, which changes the sign of each term in the parentheses, to get -4x - 32. This expression is not equivalent to the given expression.
c) -−\frac{1}{4} \cdot (16x - 128): To simplify, multiply the fraction by each term inside the parentheses to get -4x + 32. This expression is equivalent to the given expression.
d) -8(\frac{1}{2} \cdot x – 4): To simplify, distribute the -8 to get -4x + 32. This expression is equivalent to the given expression.
e) 16(-−\frac{4}{16} \cdot x + 2): To simplify, multiply the fraction by each term inside the parentheses to get -4x + 32. This expression is equivalent to the given expression.
f) -4(x + 32): To simplify, distribute the -4 to get -4x - 128. This expression is not equivalent to the given expression.
Therefore, the expressions that are NOT equivalent to −4x + 32 are (b) -(4x + 32) and (f) -4(x + 32).
25. To rewrite the expression 64x - 24 by factoring out the greatest common factor, we need to find the largest number that can divide both terms.
The factors of 64 are 1, 2, 4, 8, 16, 32, and 64.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The largest number that can divide both 64 and 24 is 8.
So we can rewrite 64x - 24 as: 8(8x - 3).
Therefore, the answer is (c) 8(8x - 3).
26. To rewrite the expression -x - 10 by factoring out the greatest common factor, we need to find the largest number that can divide both terms. In this case, it is -1.
So we can rewrite -x - 10 as: -1(x + 10).
Therefore, the answer is (d) -1(x + 10).