Question

Printer ink cartridges cost $19 each. The company that sells the ink cartridges charges a flat shipping rate of $7.50, no matter how many ink cartridges you buy.



Write an algebraic expression that describes the total cost for a single order of `x`, cartridges.

Answer 1

Evaluate the expression `3b-ac` when `a\ =\ -2`, `b\ =3`, and `c=0.5`

Answer 2

evaluate the expression 3b-ac when a = -2,b=3 and c=0.5

Answer 3

Evaluate the expression 5x^2+2y when x=-3and y =0.25

Answer 4

3mn/-2p when m = 1/3, n=-3 and p=3

Answer 5

\left(3xy\ -\ 2xz\ +\ yz\right)\ +\ \left(2xy\ -\ 4xz\ -\ 5yz\right)

Answer 6

Which expression is equivalent to 3xy − 2xz + yz + 2xy − 4xz​ − 5yz?

Answer 7

Which expression is equivalent to`5x^{2}+3x-2x^{2}+4x?`

Answer 8

Which expression is equivalent to `-3\left(2x+5\right)\ +\ 7\ ?`

Answer 9

A state park charges an entrance fee plus $15 for each night of camping. The table shows this relationship. Which algebraic expression describes the total cost for camping `n` nights?

Answer 10

While on vacation, you rent a scooter. You pay $7.50 for each hour you use it. It costs $3 to rent a helmet. Write an algebraic expression that describes the total cost in terms of hours, x, that you rent the scooter.

Answer 11

simplify 12\left(x+4\right)

Answer 12

simplify 12(x +4)

Answer 13

simplify -2\left(2x-5\right)

Answer 14

\frac{1}{2}\left(6x+10\right)

Answer 15

3\left(8-5x\right)\ +\ 2x

Answer 16

5x-4\left(2+3x\right)

Answer 17

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

Answer 18

The algebraic expression that describes the total cost for a single order of x cartridges is:

19x + 7.50

Answer 19

To evaluate the expression 3b - ac with a = -2, b = 3, and c = 0.5, substitute the given values into the expression:

3b - ac

= 3(3) - (-2)(0.5)

= 9 - (-1)

= 9 + 1

= 10

Therefore, when a = -2, b = 3, and c = 0.5, the value of the expression 3b - ac is 10.

Answer 20

To evaluate the expression 3b - ac with a = -2, b = 3, and c = 0.5, substitute the given values into the expression:

3b - ac

= 3(3) - (-2)(0.5)

= 9 - (-1)

= 9 + 1

= 10

Therefore, when a = -2, b = 3, and c = 0.5, the value of the expression 3b - ac is 10.

Answer 21

To evaluate the expression 5x^2 + 2y with x = -3 and y = 0.25, substitute the given values into the expression:

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.

Answer 22

To evaluate the expression (3mn) / (-2p) with m = 1/3, n = -3, and p = 3, substitute the given values into the expression:

(3mn) / (-2p)

= (3 * (1/3) * (-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.

Answer 23

Simplifying the expression:

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

Expanding the brackets:

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

Combining like terms:
\(5xy - 6xz - 4yz\)

Therefore, the simplified expression is \(5xy - 6xz - 4yz\).

Answer 24

To find the equivalent expression, we can combine like terms:

3xy + 2xy = 5xy
-2xz - 4xz = -6xz
yz - 5yz = -4yz

Putting it all together, the equivalent expression is:

5xy - 6xz - 4yz

Answer 25

To simplify the expression 5x^2 + 3x - 2x^2 + 4x, we need to combine like terms. Let's group the terms with x^2 and the terms without x^2:

(5x^2 - 2x^2) + (3x + 4x)

Simplifying each group:

3x^2 + 7x

Therefore, the equivalent expression is 3x^2 + 7x.

Answer 26

To simplify the expression -3(2x + 5) + 7, we can distribute the -3 to each term inside the parentheses:

-3 * 2x + (-3) * 5 + 7

Simplifying each term:

-6x - 15 + 7

Combining like terms:

-6x - 8

Therefore, the simplified equivalent expression is -6x - 8.

Answer 27

To describe the total cost for camping `n` nights, the algebraic expression would be:

Entrance Fee + (Price per Night * Number of Nights)

In this case, the entrance fee is not specified in the table, so let's represent it with the variable "E". The price per night of camping is $15, and the number of nights is "n". Therefore, the algebraic expression that describes the total cost for camping `n` nights is:

E + (15 * n)

Answer 28

The algebraic expression that describes the total cost in terms of hours, x, that you rent the scooter is:

Cost of Scooter Rental = (7.50 * x) + 3

This expression takes into account the cost per hour of using the scooter, which is $7.50 multiplied by the number of hours, as well as the additional cost of $3 for renting a helmet.

Answer 29

To simplify 12(x + 4), we need to distribute the 12 to each term inside the parentheses:

12 * x + 12 * 4

This simplifies to:

12x + 48

So, the simplified expression is 12x + 48.

Answer 30

To simplify 12(x + 4), we need to distribute the 12 to each term inside the parentheses:

12 * x + 12 * 4

This simplifies to:

12x + 48

So, the simplified expression is 12x + 48.

Answer 31

To simplify -2(2x - 5), we need to distribute the -2 to each term inside the parentheses:

-2 * 2x - 2 * (-5)

This simplifies to:

-4x + 10

So, the simplified expression is -4x + 10.

Answer 32

To simplify 1/2(6x + 10), we need to distribute the 1/2 to each term inside the parentheses:

(1/2) * 6x + (1/2) * 10

This simplifies to:

3x + 5

So, the simplified expression is 3x + 5.

Answer 33

To simplify 3(8 - 5x) + 2x, we need to distribute the 3 to each term inside the parentheses:

3 * 8 - 3 * 5x + 2x

This simplifies to:

24 - 15x + 2x

Combining like terms:

24 - 13x

So, the simplified expression is 24 - 13x.

Answer 34

To simplify 5x - 4(2 + 3x), we need to distribute the -4 to each term inside the parentheses:

5x - 4 * 2 - 4 * 3x

Simplifying:

5x - 8 - 12x

Now, combine like terms:

(5x - 12x) - 8

-7x - 8

So, the simplified expression is -7x - 8.