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Asked by: Alexis Aufderhar
Updated: 18 February 2020 11:44:00 AM

How to combine like terms in algebra?

A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

In this regard, how do you combine like terms step by step?

When you combine like terms, be sure to use the + or - that is in front of the coefficient, or number in before the letter. So in this case, we will add the 3, 5 and 9 that is in front of the x terms. Then we will subtract 7 and 4 that is in front of the y terms.

Taking this into account what does combine like terms mean in algebra?

Like terms are terms that contain the same variables raised to the same power. We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily. To combine like terms, we add the coefficients and keep the variables the same.

Accordingly, the question is how do you collect like terms in algebra?

How to collect like terms in algebra
  1. Objects are often represented in algebra by a single letter.
  2. Like terms share the same letter(s) and power(s), eg ? or ?²
  3. Algebraic expressions can be collected together if they are like terms. This is done by adding or subtracting.
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Related questions and answers

What Can 3/9 be simplified?

Thus, 1/3 is the simplified fraction for 3/9 by using the GCD or HCF method.

How do you simplify like terms in algebra?

A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

What is the ratio of 5 to 3?

For example, if we have a ratio 250 to 150, we can simplify it by dividing both numbers by 10 and then by 5 to get 5 to 3: 250 : 150 25 : 15 5:3 . The ratio 5 to 3 is the simplest form of the ratio 250 to 150, and all three ratios are equivalent.

What is an example of simplify?

Example 1: Simplify: 5(7y+2) 5 ( 7 y + 2 ) . Solution: Multiply 5 times each term inside the parentheses. Example 2: Simplify: −3(2x2+5x+1) − 3 ( 2 x 2 + 5 x + 1 ) . Because multiplication is commutative, we can also write the distributive property in the following manner: (b+c)a=ba+ca ( b + c ) a = b a + c a .

How do you simplify whole numbers?

How to Convert an Improper Fraction to a Mixed Number
  1. Divide the numerator by the denominator.
  2. Write down the whole number result.
  3. Use the remainder as the new numerator over the denominator. This is the fraction part of the mixed number.

How do you simplify life?

25 Easy Ways To Simplify Your Life
  1. Set monthly goals. Instead of New Year's resolutions, set yourself 1-3 goals each month.
  2. Carry a water bottle everywhere.
  3. Declutter your closet.
  4. Write email tasks on paper.
  5. Follow a quick morning routine.
  6. Pack an on-the-go kit.
  7. Use the 50/30/20 rule.
  8. Invest in a crockpot.

What is the ratio of 12 to 16?

Therefore the two ratios are equal. The ratio 12:16 is equal to the ratio 54:72.

Can you simplify 9 4?

94 is already in the simplest form. It can be written as 2.25 in decimal form (rounded to 6 decimal places).

What is 3/5 in the lowest terms?

35 is already in the simplest form. It can be written as 0.6 in decimal form (rounded to 6 decimal places).
Steps to simplifying fractions
  • Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 5 is 1.
  • 3 ÷ 15 ÷ 1.
  • Reduced fraction: 35. Therefore, 3/5 simplified to lowest terms is 3/5.

What does simplify mean algebra?

To reduce a fraction to its lowest terms by canceling to the lowest common factor for both numerator and denominator or to condense an algebraic expression by grouping and combining similar terms. Simplifying makes a algebric expression easily understandable and solvable.

How do you simplify?

To simplify any algebraic expression, the following are the basic rules and steps:
  1. Remove any grouping symbol such as brackets and parentheses by multiplying factors.
  2. Use the exponent rule to remove grouping if the terms are containing exponents.
  3. Combine the like terms by addition or subtraction.
  4. Combine the constants.

What is 11/15 as a percentage?

Now we can see that our fraction is 73.333333333333/100, which means that 11/15 as a percentage is 73.3333%.

What is the ratio of 3 to 9 in simplest form?

The ratio 3:9 can also be written as a fraction 3/9. Divide the numerator and denominator by 3 to get 1/3.

What is 11 3 as a mixed number?

1 Answer. 113 as a mixed number is 323 .

What does terms mean in algebra?

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.

How do you simplify powers?

To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b. Simplify.

What is the lowest term of 3 9?

Steps to simplifying fractions
Therefore, 3/9 simplified to lowest terms is 1/3.

What is 9 4 as a mixed number?

Third, recycle the denominator from the original improper fraction, or 4. Here, rewriting the improper fraction 9/4 as a mixed number gives us 9/4 = 2 ¼.

What is the ratio of 12 to 15?

Convert fraction (ratio) - 12 / 15 Answer: -80%

What is the ratio of 7 4?

Expressed as a fraction, with the numerator equal to the first quantity and the denominator equal to the second, the answer would be 7/4. Two other ways of writing the ratio are 7 to 4, and 7:4.

How do you simplify numbers?

Some ways to simplify a number
  1. Round it off. Create zeros. So 199 becomes 200.
  2. Round to an order of magnitude. Round a lot, to the nearest "power of ten".
  3. Slide the decimal point. Compact those zeros created by rounding.
  4. Substitute a number you can remember. Instead of rounding, find a nearby number you can remember.

What is the ratio of 15?

Simplify 15 : 9
Ratio15 : 9
Factors of 91 , 3 , 9
Greatest Common Factor (G.C.F)3
Divide both by G.C.F15 ÷ 3 = 5 9 ÷ 3 = 3
Ratio in simplest form5 : 3