Simplifying by collecting like terms | Maths | Quizalize & Oak National Academy

Starter quiz

__________ have the same set of variables and corresponding exponents.

Expressions

Constants

Variables

Equations

Like terms ✓
Which of these show pairs of like terms?

$7y$ and $7x$

$n$ and $8n$ ✓

$-x$ and $4x$ ✓

$-6e$ and $-3f$

$12y$ and $\frac{1}{2} y$ ✓
Which of these will simplify to $3x$ ?

$x \times x \times x$

$x + x + x$ ✓

$3 + x$

$3 \times x$ ✓
Match the calculations with the correct answer when evaluated.

5-2

⇔

3 ✓

2-5

⇔

-3 ✓

5-(-2)

⇔

7 ✓

7-2-5

⇔

0 ✓

7-2+5

⇔

10 ✓

-7+2-5

⇔

-10 ✓
Match the like terms.

$5a$

⇔

$-2a$ ✓

$3b$

⇔

$b$ ✓

$-2c$

⇔

$12c$ ✓

$8ab$

⇔

$-ab$ ✓

$bc$

⇔

${{1}\over{4}}bc$ ✓
Which of the below is not a like term?

$3e^2f$

$-2e^2f$

$3ef^2$ ✓

$2e^2f$

$3000e^2f$

When an expression cannot be simplified further, we say it has been ______ simplified.

'fully' ✓
Fully simplify the expression $2x+3y+7x-y$

$5xy-7xy$

$2x+7x+3y-y$

$9x + 3$

$9x + 2y$ ✓

$9x-2y$
Which of the below statements is true of the expression $9x+2y$ ?

It simplifies to $11xy$ .

It can not be simplified further. ✓

It simplifies to $11xy^2$
Which of these best describes what is expressed by this set of algebra tiles?

$4y+6y \equiv 10y$

$4y-6y \equiv 2y$

$4y-6y \equiv -2y$ ✓

$6y-4y \equiv 2y$
Simplify $3x^2+x+2+5x^2+x+5$

$8x^2+x^2+7$

$8x^4+2x^2+7$

$8x^2+2x+7$ ✓

$8x^4+7$

$8x^3+7$
Which is a fully simplified expression for the perimeter of this rectangle?

$6x+14+2x+10y$

$3x+7+x+5y+3x+7+x+5y$

$8x+10y+14$ ✓

$4x+5y+7+4x+5y+7$

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Simplifying means just grouping the algebraic terms.

Remind pupils that fully simplifying means the expression cannot be simplified further.

Like terms - Like terms are terms that have the same set of variables and corresponding exponents.
Simplify - Simplifying is to write an expression in the most efficient and compact form without affecting the value of the original expression.