What is the difference between an equation and an expression? Include an example of each. Can you solve for a variable in an expression? Explain. Can you solve for a variable in an equation? Explain. Write a mathematical phrase or sentence for your classmates to translate.
**What is the difference between an equation and an expression?
Equation- is a mathematical statement, in symbols, that two things are exactly the same (or equivalent). Equations are written with an equal sign. Yes, you can solve for a variable in an equation.
Example: 2+3+5=10
Expression- is a symbol or combination of symbols that represents a quantity or a relationship between quantities. No, you cannot solve for a variable in an expression. Still, you can simplify it.
Example: 3 X n +10 = when n=2
3X2+10=
6+10=
16= n
N=16
8t-3=13
Apply the Zero Power Rule to create an equivalent expression to 43(−2+10) .(1 point)
To solve for a variable in an expression, you need to have an equation that relates the variable to other numbers or terms. In the given example, the expression is "3 X n + 10," and we want to solve for the variable n when it is equal to 2.
To solve for n, we substitute the value of n (2) into the expression and simplify.
When we substitute n = 2 into the expression, we get:
3 X 2 + 10 =
6 + 10 =
16
Therefore, when n is equal to 2, the expression simplifies to 16.
On the other hand, to solve for a variable in an equation, we typically use algebraic techniques to isolate the variable on one side of the equation. An equation involves an equal sign and indicates that two things are equivalent.
For example, let's say we have the equation:
2x + 5 = 12
To solve for x, we want to isolate the variable on one side of the equation. Here's how:
Step 1: Subtract 5 from both sides of the equation.
2x + 5 - 5 = 12 - 5
2x = 7
Step 2: Divide both sides of the equation by 2 to isolate x.
(2x) / 2 = 7 / 2
x = 3.5
So, in this equation, x is equal to 3.5.
As for a mathematical phrase or sentence for your classmates to translate, how about this:
"The sum of twice a number and seven is equal to 15."
Your classmates would then need to translate this into an equation and solve for the number.