Question

Which expression is equivalent to

−3 2x + 5 + 27 ?
−5x − 8
−6x + 12
−2x + 12
−6x − 8

Answer 1

[AI-generated answer — Bot GPT 3.5]

In order to simplify the expression, we need to apply the order of operations. Let's evaluate the expression step by step:

-3(2x + 5) + 27

First, apply the distributive property:

-6x - 15 + 27

Next, simplify the addition:

-6x + 12

Therefore, the expression is equivalent to -6x + 12. Answer: \boxed{-6x + 12}.

Answer 2

Which expression is equivalent to

3xy + 2xz + yz + 2xy − 4xz + 5yz ?
5xy − 6xz −4yz
5xy − 2xz +6yz
5xy − 2xz −4yz
5xy − 6xz −6yz

Answer 3

[AI-generated answer — Bot GPT 3.5]

To simplify the expression, we need to combine like terms.

First, let's group the terms with the same variables. We have:

(3xy + 2xy) + (2xz - 4xz) + (yz + 5yz)

Combining like terms within each group, we simplify to:

5xy - 2xz + 6yz

Therefore, the expression is equivalent to 5xy - 2xz + 6yz. Answer: \boxed{5xy - 2xz + 6yz}.

Answer 4

Printer ink cartridges cost $26 each. The

company that sells the ink cartridges charges
a flat rate of $6.50, no matter how many ink
cartridges you buy.
Write an algebraic expression that describes
the total cost for a single order of , cartridges.
HINT: Use the table to help you write the
expression.
x
Number of
Cartridges
Total Cost
1 26 1 + 6.50
2
3
x
26 + 6.50 x
32.50x
26 + 6.50x
26x + 6.50

Answer 5

[AI-generated answer — Bot GPT 3.5]

The algebraic expression that describes the total cost for a single order of x cartridges is 26x + 6.50.

Answer 6

Evaluat


e the e

xpression when
, , and .
3b − ac a = 2
b = 3 c = −1.5
12
−5
−15.5
24

Answer 7

[AI-generated answer — Bot GPT 3.5]

To evaluate the expression 3b - ac when a = 2, b = 3, and c = -1.5, we substitute these values into the expression:

3(3) - 2(-1.5)

This simplifies to:

9 + 3

Using the order of operations (addition), we find that the expression evaluates to:

12

Therefore, the value of the expression is 12.

Answer 8

Which expression best represents the following statement?

The difference of 15 and twice a number n .
A. 2n
15
B. 15 − 2n
C. 15 2n
D. 15 + 2n

Answer 9

[AI-generated answer — Bot GPT 3.5]

The expression that best represents the statement "The difference of 15 and twice a number n" is 15 - 2n.

In this expression, we have 15 minus (which represents the difference) twice a number n (which is represented by 2n).

Therefore, the correct answer is B. 15 - 2n.

Answer 10

Solve the equation:

3x + 5 = −2x + 15
x = 0
x = 2
x = 10
x = −6

Answer 11

[AI-generated answer — Bot GPT 3.5]

To solve the equation 3x + 5 = -2x + 15, we need to isolate the variable x.

First, let's combine like terms by adding 2x to both sides of the equation:

3x + 2x + 5 = -2x + 2x + 15
5x + 5 = 15

Next, subtract 5 from both sides of the equation:

5x + 5 - 5 = 15 - 5
5x = 10

To solve for x, divide both sides of the equation by 5:

(5x) / 5 = 10 / 5
x = 2

Therefore, the solution to the equation 3x + 5 = -2x + 15 is x = 2.