Quick Answer: Can You Solve For A Variable In An Expression?

What expression is equivalent to 4b?

the expression equal to 4b is 4×b..

Can expressions have variables?

An algebraic expression comprises both numbers and variables together with at least one arithmetic operation. To evaluate an algebraic expression you have to substitute each variable with a number and perform the operations included.

How do you isolate a variable in an equation?

The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.

What does it mean to isolate a variable?

Isolating a variable means rearranging an algebraic equation so that a different variable is on its own. The goal is to choose a sequence of operations that will leave the variable of interest on one side and put all other terms on the other side of the equal sign.

How do you solve algebraic expressions?

A linear algebraic equation is nice and simple, containing only constants and variables to the first degree (no exponents or fancy stuff). To solve it, simply use multiplication, division, addition, and subtraction when necessary to isolate the variable and solve for “x”. Here’s how you do it: 4x + 16 = 25 -3x =

How do you find equivalent expressions?

Complete the equation by putting it back together. This means taking the two new numbers and keeping the function in the middle the same: 6xy + 4x. This is your equivalent expression. You can write the two expressions to show equality: 2x(3y + 2) = 6xy + 4x.

What are terms in an expression?

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.

What is a equivalent problem?

Making an Equivalent Problem A division problem can be changed into an equivalent problem by dividing both numbers by the same number, thus maintaining the quotient between them.

What must be included in an algebraic expression?

An algebraic expression is one or more algebraic terms in a phrase. It can include variables, constants, and operating symbols, such as plus and minus signs. It’s only a phrase, not the whole sentence, so it doesn’t include an equal sign.

What does equivalent mean?

adjective. equal in value, measure, force, effect, significance, etc.: His silence is equivalent to an admission of guilt. corresponding in position, function, etc.: In some ways their prime minister is equivalent to our president.

What are 2 step equations?

A two-step equation is an algebraic equation that takes you two steps to solve. You’ve solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.

How do you solve problems involving equivalent expressions?

To solve equivalent equations, follow these five steps: Step 1 – Use the distributive property, if necessary. Step 2 – Combine like terms on the same side of the equal sign, if needed. Step 3 – Collect the variable being solved for on the same side of the equation.

What are the 4 steps to solving an equation?

We have 4 ways of solving one-step equations: Adding, Substracting, multiplication and division. If we add the same number to both sides of an equation, both sides will remain equal.

What does variable mean in math?

A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.

Whats is expression?

noun. the act of expressing or setting forth in words: the free expression of political opinions. a particular word, phrase, or form of words: old-fashioned expressions. … a look or intonation expressing personal reaction, feeling, etc.: a shocked expression.

What is a fractional equivalent?

Summary: You can make equivalent fractions by multiplying or dividing both top and bottom by the same amount. You only multiply or divide, never add or subtract, to get an equivalent fraction. Only divide when the top and bottom stay as whole numbers.

How do you write an equivalent expression using the distributive property?

For example, apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.

Can you solve for a variable in an equation?

If the equation is in the form, ax + b = c, where x is the variable, you can solve the equation as before. … Subtract 2 from both sides of the equation to get the term with the variable by itself. Divide both sides of the equation by 3 to get a coefficient of 1 for the variable.

What is an example of a variable expression?

An algebraic expression is a number, variable or combination of the two connected by some mathematical operation like addition, subtraction, multiplication, division, exponents, and/or roots. 2x + y, a/5, and 10 – r are all examples of algebraic expressions.

How do you solve an equation with 2 variables?

The Method of Elimination: In a two-variable problem rewrite the equations so that when the equations are added, one of the variables is eliminated, and then solve for the remaining variable. Step 1: Multiply equation (1) by -5 and add it to equation (2) to form equation (3) with just one variable.

How do I simplify an expression?

Here are the basic steps to follow to simplify an algebraic expression:remove parentheses by multiplying factors.use exponent rules to remove parentheses in terms with exponents.combine like terms by adding coefficients.combine the constants.