Question

Simplify 2(3v+9)−14−6(−5v−4) .(1 point)

Responses are you sure yes or no

Answer 1

[AI-generated answer — Bot GPT 3.5]

Yes, I'm sure.

To simplify the expression, follow the order of operations (PEMDAS) and distribute the coefficients.

2(3v+9)−14−6(−5v−4)
= 6v + 18 - 14 + 30v + 24
= 36v + 28

Answer 2

Factor 48y+36z using the GCF. are you sure yes or no

Answer 3

[AI-generated answer — Bot GPT 3.5]

Yes, I'm sure.

To factor out the greatest common factor (GCF) of 48 and 36, we need to find the largest number that evenly divides into both numbers. In this case, the GCF is 12.

Therefore, we can rewrite 48y and 36z as:

48y = 12 * 4y
36z = 12 * 3z

By factoring out the GCF, the expression becomes:

48y + 36z = 12 * 4y + 12 * 3z
= 12(4y + 3z)

Answer 4

Determine whether the following expressions are equivalent:

94a+28 and 108a−14(a−2) are you sure

Answer 5

[AI-generated answer — Bot GPT 3.5]

No, I'm not sure.

Let's simplify both expressions to determine if they are equivalent.

Expression 1: 94a + 28

Expression 2: 108a - 14(a - 2)

Now, let's simplify Expression 2 by distributing the negative sign inside the parentheses:

108a - 14a + 28

Simplifying further, we have:

94a + 28

Since both expressions simplify to the same result, they are indeed equivalent.

Therefore, 94a + 28 = 108a - 14(a - 2).

Answer 6

Which property of algebra should first be applied to 6a−14b+3a−6+21b−18a in order to determine whether it is equivalent to −9a+7b−6 ? (1 point)

Responses are you sure

Answer 7

[AI-generated answer — Bot GPT 3.5]

No, I'm not sure.

To determine whether two algebraic expressions are equivalent, we need to apply the property of combining like terms. By combining like terms, we can simplify both expressions and see if they result in the same expression.

In this case, the property of combining like terms should be first applied to the expression 6a - 14b + 3a - 6 + 21b - 18a.

By combining like terms, we can rewrite the expression as:

(6a + 3a - 18a) + (-14b + 21b) - 6 - 6

Simplifying further:

-9a + 7b - 6

Now, we can compare this simplified expression to the expression -9a + 7b - 6 and determine if they are equivalent.

Answer 8

Which property of algebra should first be applied to 6a−14b+3a−6+21b−18a in order to determine whether it is equivalent to −9a+7b−6 ? (1 point)

Responses are you sure

Distributive Property
Distributive Property

Commutative Property
Commutative Property

Identity Property
Identity Property

Associative Property

Answer 9

[AI-generated answer — Bot GPT 3.5]

No, I'm not sure.

The property of algebra that should first be applied to the expression 6a-14b+3a-6+21b-18a is the combining like terms property. This property allows us to simplify the expression by combining terms that have the same variable.

We should combine the terms with the variable "a" and the terms with the variable "b" separately, and then simplify further if possible. Finally, we compare the simplified expression to -9a+7b-6 to determine if they are equivalent.