# Which pair of expressions are equivalent

Consider the expressions 3 2 + 1 and 5 × 2. Both are equal to 10. That is, they are equivalent expressions. Now let us consider some expressions that include variables, say 5 x + 2. The expression can be rewritten as 5 x + 2 = x + x + x + x + x + 1 + 1.

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).

## How do you identify equivalent expressions?

Equivalent Expressions Equivalent Expressions are expressions that have the same value. They may look different but will have the same result if calculated. For example, and are equivalent expressions. See why below: The two expressions have the same answer, 27. Therefore, we can say that they are equivalent expressions.

## How do you find the equivalent expression?

equivalent expressionshave the same value but are presented in a differentformat using the properties of numbers eg, ax + bx = (a + b)x are equivalent expressions. Strictly, they are not “equal”, hence we should use 3 parallel lines in the”equal” rather than 2 as shown here.

## How to solve equivalent expressions?

Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.

## How to write equivalent expression?

equivalentleft (x+x,3xright) equivalent(x+x,3x) 2. Apply the formula: e q u i v a l e n t ( a, b) mathrm {equivalent}left (a,bright) equivalent(a,b) =false, where. a = x + x. a=x+x a= x+x and. b = 3 x. b=3x b =3x.

## What is an example of an equivalent expression?

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.

## Which expression is equivalent to FG )( 4 )?

Thus, the expression (f + g)(4) is equal to f(4) + g(4).

## Which expressions are equivalent to the expression square root of 40?

√40 = √(2 × 2 × 2 × 5) = 2√10.

## What expression is equal to 81?

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

## What is this expression equivalent to A -> B?

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

## Which expression is equivalent to st6?

1 Answer. s(6) × t(6) is equivalent to (st)(6).

## What does it mean for expressions to be equivalent?

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).

## Which expression is equivalent to the square root of 80?

√80 = 4√5. Therefore, the square root of 80 in radical form is 4√5.

## Which expression is equivalent to square root of 252?

The square root of 252 can be written as √252 and (252)1/2. The square root of 252 can be simplified to 6√7.

## Which power of 8 is equal to 2 to the power 6?

THUS 8 TO POWER 2 IS EQUAL TO 2 TO POWER 6.

## What to the power of 3 equals 81?

0:100:433^x = 81 solve the exponential equation – YouTubeYouTubeStart of suggested clipEnd of suggested clipAnd then times itself a fourth time is equal to 81 so raised to the fourth. 3 raised to the x equalsMoreAnd then times itself a fourth time is equal to 81 so raised to the fourth. 3 raised to the x equals that since they have the same base we can just drop the bases. We get X is equal to 4.

## What is the principal root √ 81?

9√81 = 3×3 = 9. Hence, the value of the square root of 81 is 9.

## Which equation is equivalent to log2n 4?

The correct answer is B) 16.

## Which expression is equivalent to gf3?

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)? We know that f(x) and g(x) are both the functions of x and depend on x. Therefore, the expression which is equivalent to (g – f) (3) is 23.

## Which is equivalent to f/g x?

By definition, (F? G)(x)is equal to f(g(x)). This means that every x in f(x) must be replaced with g(x), which is equal to (2/x).

## What is the value of f/g )( 8?

Summary: If f(x) = 3 – 2x and g(x) = 1/x + 5, then the value of (f/g)(8) value is -169.

## How does Sal find equivalent expressions?

Sal finds equivalent expressions by combining like terms and using the distributive property.

## Why do brackets and parentheses have to include the other one?

Brackets [] and Parentheses () both have to include the other one because you could see both. It also reminds us that division and multiplication are on the same level, so generally done left to right. Also, addition and subtraction are on the same level left to right.