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What else can I help you with?
What are expressions that have the same value?
Equivalent expressions.
How do you know if the original expression is equivalent to the simplified expression?
you test it by giving the letters a value say if X equals 5 and Y equals 7 then you calculate both expressions with that value. If both answers are the same, then the simplified expression is correct, or an equivalent.
Why doesn't the value of the fraction change when you simplify it?
Because it is proportionally the same value.
Expressions that have the same value?
If both equations can be simplified to the same value, they are equal.
To solve a system of equations you cannot replace a variable with an equal value or expression?
You can replace a variable with an equal value or expression. Just make sure the same variable always gets the same value or expression.
What is an expression that has the same value?
An expression that has the same value as another expression is called an equivalent expression. For example, the expressions (2(x + 3)) and (2x + 6) are equivalent because they simplify to the same value for any value of (x). Equivalent expressions can be formed through various algebraic manipulations, such as distributing, factoring, or combining like terms.
What is a expressions that simplifies to the same expression or value?
An equivalent expression.
How do you determine if two numbers or expressions or equal?
To determine if two numbers or expressions are equal, you can simplify both sides of the equation and see if they yield the same value. This may involve performing arithmetic operations, factoring, or using algebraic rules. For numerical values, you can directly compare them. If both sides simplify to the same expression or numerical value, they are equal; otherwise, they are not.
What are expressions that have the same value for all values of the variables?
Equivalent Expression
Ranger wants to verify that the expression8x – 20 is the correct simplified expression for 4(2x – 5). Explain how to verify the simplified expression?
Sample Answer: To verify, a number needs to be substituted for x in both expressions. Use order of operations to simplify and find the value. The value needs to be the same for both expressions to prove equivalence.
What are expressions that have the same value for all values of the variables called?
equivalent expression
How do you simplify numbers and letters?
To simplify numbers and letters, combine like terms by adding or subtracting coefficients of the same variable. For example, in the expression 3x + 5x, you can simplify it to 8x. For numerical expressions, perform arithmetic operations to reduce the expression to its simplest form, such as turning 4 + 2 to 6. Always ensure to follow the order of operations (PEMDAS/BODMAS) when simplifying complex expressions.
What expression is equivalent to -5x-5y?
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Do you solve an expression the same way you solve an equation?
If we are talking about the algebraic expressions, then an expression can be simplified or be evaluated for specific values of its variables, while an equation need to be solved, in other words to find the values of the variables that make the equation a true statement. If we are solving an equation, then we can work in the same way that we can simplify an expression (since an equation is a statement that states that two expressions are equal), or factoring an expression.
To add two rational expressions that have the same deniminator you simply add the?
To add two rational expressions with the same denominator, you simply add the numerators together while keeping the denominator unchanged. The result is a new rational expression represented as (\frac{a + b}{c}), where (a) and (b) are the numerators of the original expressions, and (c) is the common denominator. Make sure to simplify the resulting expression if possible.
Is 0.5r - 5 equivalent to 0.5 (r - 10)?
Yes, the expressions (0.5r - 5) and (0.5(r - 10)) are equivalent. When you distribute (0.5) in the second expression, you get (0.5r - 5). Thus, both expressions simplify to the same form.
How can I use the properties of algebra to simplify an expression?
Learn the properties, and apply them! What properties you use depends on the specific situations; some examples include:* Combine like terms (terms with the same variables), e.g.: 4x + 5x = 9x * Factor expressions * Multiply factors, so you can combine them with other expressions. In a way, this is the opposite of the previous point.
