1. Simplify 5y + 7y – 3y

2. Simplify p² + 5p² + 3p²

3. Simplify 4a + 5b + 3a + 2b

5. Simplify 9b² + 2b – 3b² + 5b

Simplify Expressions by Collecting Like Terms

﻿Hi! I'm Miss Davies. In this lesson we're going to learn how to simply expressions by multiplying and dividing terms. Five multiplied by Y is written as Five Y. Five multiplied by two Y is equivalent to ten Y. Y has been multiplied by two, so our equivalent is also multiplied by two. Five Y multiplied by three is the same as five Y, add five Y, add five Y, which is equivalent to fifteen Y. Five Y multiplied by four Y is equivalent to twenty Y squared. Five multiplied by four is twenty and Y multiplied by Y is Y squared. Five Y multiplied by seven Zed is thirty-five Y Zed. This means thirty-five times Y, times Zed. Five Y multiplied by four Zed, multiplied by nought point five Y, is equivalent to ten Y squared Zed. The coefficients, five, four and zero point 5 multiply to make ten. We've then got two Y's and then Zed multiplied together to get Y squared Zed. Here are some questions for you to try. Pause the video to complete your task and resume once you're finished. Here are the answers! Remember that A multiplied by A, is A squared. And P multiplied by P, multiplied by P, is P cubed. Ten D E is made by multiplying five D by two E. We know this because five multiplied by two is ten, or ten divided by five is two. Nought point five F is multiplied by ninety F to give forty-five F squared. This is the same as forty-five F squared divided by nought point five F, is equivalent to ninety F. Twenty-four G divided by six is equivalent to four G, as twenty-four divided by six is four. Twenty-four G divided by three G is equivalent to eight, as twenty-four divided by three is eight and G divided by G is the same as one. Twenty-four G squared divided by eight G is equivalent to three G. Again, twenty-four divided by eight is three and G squared divided by G is just G. Lastly, twenty-four G cubed divided by four G gives six G squared. Twenty-four divided by four is six and G cubed divided by G is G squared. Here are some questions for you to try. Pause the video to complete your task and resume once you're finished. Here are the answers! Remember that F cubed divided by F squared is equivalent to F and X cubed divided by X is equivalent to X squared. Here are some questions for you to try. Pause the video to complete your task and resume once you're finished. Here are the answers! For question four, there are loads of different answers. As long as your coefficients multiply to make eight and you've got two lots of X's and three lots of Y's, it will be right. For question five, Tyra has said that five X squared is equivalent to twenty-five X. The correct answer is forty-five X cubed. Here is a question for you to try. Pause the video to complete your task and resume once you have finished. Here is the answer! The area of both quadrilaterals is one hundred and forty-four B squared. This means each side of the square is twelve B centimetres. So the perimeter of the square is forty-eight B centimetres. That's all for this lesson! Thanks for watching!

Simplify z × 4z

Simplify 9m × 3m × 2n

Simplify 65e ÷ 5

Simplify 72y³ ÷ 12y

Simplify Expressions by Multiplying Terms

In this lesson, we will simplify the appearance of an expression that uses multiplication of algebraic terms. We will also investigate how we can multiply two algebraic terms.

Maths

Y10 Maths (Core)

Key Stage 4

Year 10

Miss

Collecting, Indices, Expand and Simplify, Solving Equations 1

Number (N)

THEME

UNIT

Expand a Term over a Single Bracket

Expand a Term over a Single Bracket including Powers

Expand 2 brackets and simplify expressions (Part 1)

Expand 2 brackets and simplify expressions (Part 2)

Expand and simplify double brackets

Expand and Simplify Double Brackets (Coefficient of x Greater than 1)

Multiplication Law for indices

Division Law for indices

Power Law for Indices

Combining Index Laws

Solving one-step equations

Solving two-step equations

Solving equations with brackets

Solving equations with unknown on both sides

2. Expand 9(5 – 2t)

3. Expand -4(5t + 7)

5. Expand and simplify 9(5k – 3) + 3k + 4

What is the solution to this equation?

Identify the correct equation and solution for w if the perimeter of this regular octagon is 56 cm.

Lesson overview:Simplify Expressions by Multiplying Terms

Core Content

Collecting, Indices, Expand and Simplify, Solving Equations 1: