- When you an expression you replace each variable with a given value?
- What is to substitute a given number for each variable and then simplify?
- What is an expression how is an expression different from the variables?
- How can you simplify an expression?
- How do you solve algebra equations with brackets?
- How do you separate algebraic expressions?
- Can you multiply different variables together?
- What is the best method in multiplying Binomials?
- What is the best method in multiplying polynomials that you know?
- Why do we need to multiply Binomials?

## When you an expression you replace each variable with a given value?

When we substitute a specific value for each variable, and then perform the operations, it’s called evaluating the expression. Let’s evaluate the expression 3y + 2y when 5 = y. Click on the steps to see how it’s done.

## What is to substitute a given number for each variable and then simplify?

To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations. To evaluate, substitute 3 for x in the expression, and then simplify.

## What is an expression how is an expression different from the variables?

A constant, unlike a variable, is a quantity that does not change. A constant is often a number. An expression is a mathematical phrase made up of a sequence of mathematical symbols. Those symbols can be numbers, variables, or operations (+, –, •, ÷).

## How can you simplify an expression?

To simplify any algebraic expression, the following are the basic rules and steps:

- Remove any grouping symbol such as brackets and parentheses by multiplying factors.
- Use the exponent rule to remove grouping if the terms are containing exponents.
- Combine the like terms by addition or subtraction.
- Combine the constants.

## How do you solve algebra equations with brackets?

How do you solve an equation with brackets?

- Multiply out the brackets and remember that everything inside the brackets will get multiplied by 2. 2 × a + 2 × 5 = 16. You get: 2a + 10 = 16.
- Next, do the inverse of + 10, so subtract 10 from both sides. 2a + 10 – 10 = 16 – 10.
- To find out what a is you need to do the inverse of multiplying by 2 which is dividing by 2.

## How do you separate algebraic expressions?

Each part of an algebraic expression which are separated by plus sign (+) or minus sign (-) is called the term of an algebraic expression. It’s important to remember that the division sign (÷) or multiplication sign (×) does not separate the terms of an algebraic expression.

## Can you multiply different variables together?

When variables are the same, multiplying them together compresses them into a single factor (variable). But you still can’t combine different variables. When multiplying variables, you multiply the coefficients and variables as usual.

## What is the best method in multiplying Binomials?

Using FOIL to Multiply Binomials

- Multiply the first terms of each binomial.
- Multiply the outer terms of the binomials.
- Multiply the inner terms of the binomials.
- Multiply the last terms of each binomial.
- Add the products.
- Combine like terms and simplify.

## What is the best method in multiplying polynomials that you know?

You can use the distributive method for multiplying polynomials just like the last example! Start by multiplying the first term of the first binomial (3x) by the entire second binomial (Figure 1). Then multiply the second term of the first binomial (-5y) by the entire second binomial (Figure 2).

## Why do we need to multiply Binomials?

Perhaps we can justify the multiplication of binomials as a way to gain sufficient fluency for the time they will be factoring trinomials. Sufficient practice with binomials ahead of time creates familiarity so that when they are factoring they can begin to predict what answers would and should look like.