**combining like terms**. Like terms are terms that have the same variables raised to the same powers. For example, the list shows some pairs of like terms. the new coefficient is 9.

What is an equivalent expression example?

Examples of Equivalent Expressions 3(x + 2) and 3x + 6 are equivalent expressions because the value of both the expressions remains the same for any value of x. 3x + 6 = 3 × 4 + 6 = 18. and can also be written as 6(x2 + 2y + 1) = 6×2 + 12y + 6. In this lesson, we learn to identify equivalent expressions.

What’s an equivalent expression?

Generally, if two things are the same, then it is called equivalent. Similarly, in mathematics, the equivalent expressions are the expressions that are the same, even though the expression looks different. But if the values are plugged in the expression, both the expressions give the same result.

How do you solve equivalent expressions?

0:523:41How to find equivalent expressions – YouTubeYouTubeStart of suggested clipEnd of suggested clipBasically you distribute. So in this example you have a on the outside you can’t add B and CMoreBasically you distribute. So in this example you have a on the outside you can’t add B and C together. So you distribute that a. So this becomes a times B which is equal to a B. And then a times C.

How do you write equivalent expressions for fractions?

1:212:52Equivalent Forms of Algebraic Fractions – YouTubeYouTubeStart of suggested clipEnd of suggested clipWe know that 5/3 X can be re-written as 5/3. Times X and how do we multiply a fraction by an unknownMoreWe know that 5/3 X can be re-written as 5/3. Times X and how do we multiply a fraction by an unknown number. If I turn that unknown number into a fraction that.

What is this expression equivalent to A -> B?

Hence, a. (a+b) is equivalent to a2+ab.

What expression is equivalent to 81?

Some expressions that are equivalent to 81 are 9^2, 3\times3^3, and 8^2+17.

How do you write expression?

To write an expression, we often have to interpret a written phrase. For example, the phrase “6 added to some number” can be written as the expression x + 6, where the variable x represents the unknown number.

How do you make an equivalent expression with exponents?

The product of powers property says that when we multiply powers with the same base, we just have to add the exponents. So, xaxb = x(a + b). As you can see, we keep the base the same and add the exponents together.

Which equation is equivalent to log2n 4?

The correct answer is B) 16.

Which expression is equivalent to sine of 7pi 6 )?

The value of sin 7pi/6 in decimal is -0.5. Sin 7pi/6 can also be expressed using the equivalent of the given angle (7pi/6) in degrees (210°). Since the sine function is a periodic function, we can represent sin 7pi/6 as, sin 7pi/6 = sin(7pi/6 + n × 2pi), n ∈ Z.

Why do we use equivalent expressions?

Equivalent expressions are expressions that have the same value. Writing equivalent expressions can make them easier to work with and solve. For example, these two expressions are equivalent.

How do you find equivalent expressions with exponents?

2:515:01IXL F.13 8th Grade Math Identify equivalent expressions involving …YouTubeStart of suggested clipEnd of suggested clipNumbers of the same base we subtract the exponents. That’s also 90 to the sixth power. So it’s aMoreNumbers of the same base we subtract the exponents. That’s also 90 to the sixth power. So it’s a quick these these two expressions are equivalent.

What is equivalent expression?

As the name suggests, equivalent expressions are** algebraic expressions that, although they look different, turn out to really be the same. ** And since they’re the same, they will yield the same results no matter what numbers we substitute for their variables. Let’s consider this algebraic expression: 2 ( x ^2 + x ).

What is an algebraic expression?

An algebraic expression is** a string of numbers, variables, mathematical operations, and possibly exponents. ** For example, 4 x + 3 is a basic algebraic expression. Or we could get a little more complex with 3 x (2 x ^2 + 2 x – 5) + 6 y. Notice that both of these examples contain the previously listed elements of an algebraic expression: numbers, variables, and mathematical operations, and the second expression contains the optional exponent.

Why are graphs exactly the same?

Well,** since equivalent expressions produce identical solutions for all values, their ** graphs are exactly the** same **. If we wanted to, we could graph a hundred equivalent expressions, and the result would still be one line because all the expressions would produce the same solutions.

Why do two expressions have their own tracks?

In fact, if we graph the two expressions, we can see that** they only intersect at that one point where they happen to yield identical solutions. ** However, they have their own tracks before and after that point** because they’re not equivalent expressions. ** While we’re at it, let’s see what happens when we graph the following equivalent expressions:

What happens when you plug in matching values of the variables into two mathematical expressions?

If we plug in matching values of the variables into two mathematical expressions, and** we get a different value out from each expression, ** then** the two expressions are not equivalent. **

What happens if you use the same number for x?

Because these two expressions are really the same, no matter what number we substitute for x,** the results will always be identical. ** If we use 0, both expressions come out to 0. If we use 10, both expressions come out to 220. If we use 100, both expressions come out to 20,200. We get the same result no matter how large or small the number we use for x.

How to tell if an equation is a true number sentence?

An equation has one specific solution or set of solutions that will make the number sentence true. In this case, the equation is a true number sentence when** x = 1. ** There is one specific solution. In an expression, however, since there’s no equal sign, variables are free to be variables.

What is equivalent expression calculator?

Equivalent Expression Calculator is** a free online tool that displays the equivalent expressions for the given algebraic expression. ** BYJU’S online equivalent expression calculator tool makes the calculations and simplification faster and it displays the equivalent expression in a fraction of seconds.

What is the equivalent of (3+7)+2?

The expression equivalent to (3+7)+2 is** 12. **

What is an Algebraic Expression?

An algebraic expression is** an expression which consists of variables, coefficients, constants, and mathematical operators such as addition, subtraction, multiplication and division. ** Generally, if two things are the same, then it is called equivalent. Similarly, in mathematics, the equivalent expressions are the expressions that are the same, even though the expression looks different. But if the values are plugged in the expression, both the expressions give the same result.

What is the equivalent fraction of 2/3?

For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3.

Is 3y+3 a simplified expression?

The expressions 3y+3 and 3 (y+1) are equivalent expressions. Because 3 (y+1) can be** simplified ** as 3y+3.

What are equivalent expressions?

Equivalent expressions are** expressions that work the same even though they look different. ** If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value (s) for the variable (s).

When two expressions are equivalent, what is the meaning of the expression?

If two algebraic expressions are equivalent, then** the two expressions have the same value when we plug in the same value for the variable. ** Arrange the terms in the same order, usually -term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

How do we rearrange formulas?

Formulas are** equations that contain or more variables; they describe relationships and help us solve problems in geometry, physics **, etc.

How to make an equation true for all values of a variable?

For the equation to be true for all values of the variable,** the two expressions on each side of the equation must be equivalent. ** For example, if for all values of , then: must equal . must equal . Distribute any coefficients on each side of the equation.

How to distribute coefficients?

Distribute any coefficients:** Combine any like terms on each side of the equation: -terms with -terms and constants with constants. Arrange the terms in the same order, usually -term before constants. ** If all of the** terms in ** the two expressions are identical, then the two expressions are equivalent.

What happens if all the terms in two expressions are identical?

If all of the terms in the two expressions are identical, then** the two expressions are equivalent. **

How to isolate a variable?

To isolate a specific variable,** perform the same operations on both sides of the equation until the ** variable is isolated. The new equation is equivalent to the original equation.

What is equivalent expression?

Equivalent expressions are** like duplicates of each other but look different from the outside. ** The official statement state that “ Equivalent expressions are expressions that work the same even though they look different.”

How to solve equivalent expression problem?

There are most preferred two ways of solving the “Equivalent Expression” problem, either** by putting the value of x into two given expressions and if they yield the same result then ** we** got the correct equivalent expression for the given ** expression** problems **.

What is a value with a negative exponent?

A value with a negative exponent is** equivalent to its multiplicative inverse **

What does it mean when you plug a value in an equivalent expression?

If you plugged any value in an equivalent expression,** it will give the same result, it doesn’t matter how much different they look, they are the same ** expression, hence, it is named as equivalent expression.

Which option is correct for the above expression?

Hence, the option** (a) ** is correct for above expression.

Is option (a) equivalent to given expression?

**Hence, option (a) ** is** equivalent ** to the given expression.

Is option B a complex expression?

**Hence, ** option** ( **b) is** equivalent to ** the given complex expression.