Combine the like terms to make a simpler expression: -n + (-3) + 3n +5

1 answer:

3 0

Like terms are terms that have the same variable. In this equation, your like terms are terms with n and terms without n. Put the like terms next to each other in the expression.

-n + 3n + (-3) + 5

Now, combine -n and 3n the same way you would combine -1 and 3.

2n + (-3) + 5

Next, combine -3 and 5.

2n + 2

Since 2n and 2 aren't like terms, your final answer will be 2n + 2.

You might be interested in

A pharmacist has 40% and 60iodine solutions on hand. How many liters of each iodine solutions will be required to produce 4 lite

Schach [20]

A pharmacist has 40% and 80% of iodine solutions on hand. How many liters of each iodine solution will be required to produce 4 liters of a 50% iodine mixture?

Let x = liters of 40% iodine

then

4-x = liters of 80% iodine

Using algebra:

.40x + .80(4-x) = .50(4)

.40x + 3.20-.80x = 2

3.20-.40x = 2

x = 4 liters (40% iodine)

80% iodine:

4-x = 4-4 = 0 liters needed (80% iodine)

4 0

3 years ago

Which equation represents the line that passes through (0, 2) and (3, 1)?

Anna11 [10]

<h3>Answer:</h3>

A. y = -1/3x + 2 . . . . . . . . assuming a typo in your problem statement

<h3>Explanation:</h3>

The point (0, 2) is the y-intercept. This tells you the equation will be something of the form ...

... y = mx + 2 . . . . . . matching only answer choices A and C

_____

Knowing this, you can either substitute the values x=3, y=1 into these two equations to see which one works (it is not C), or you can look at the two points and determine the value of the slope.

The slope is ...

... (difference in y)/(difference in x) = (1-2)/(3-0) = -1/3 . . . . . matches choice A

The equation of the line is ...

... y = -1/3x + 2 . . . . . matches answer choice A