Year 8 Algebra & Linear Relations Revision Flashcards

Vocabulary-style revision flashcards covering algebraic terms, simplifying fractions, expansion, factorization, linear graphing, gradients, and word problems.

Identify the terms in $9x^2 - 5x + 12$

$9x^2$, $-5x$, and $12$

Coefficient of $x^2$ in $9x^2 - 5x + 12$

$$9$$

Constant in $9x^2 - 5x + 12$

$$12$$

Coefficient of $y$ in $4y + 17$

$$4$$

Constant in $4y + 17$

17

Coefficient of $a^2$ in $8a^2 + 3a - 6$

$$8$$

Constant in $8a^2 + 3a - 6$

$$-6$$

Coefficient of $m$ in $15 - 2m$

$$-2$$

Coefficient of $p^2$ in $11p^2 - p + 1$

$$11$$

Simplification of $\frac{12ab}{18a}$

2a/3

Simplification of $\frac{16xy}{20y}$

$$\frac{4x}{5}$$

Simplification of $\frac{30mn}{45m}$

2n/3

Simplification of $\frac{24pq}{36q}$

$$\frac{2p}{3}$$

Simplification of $\frac{42rs}{56s}$

$$\frac{3r}{4}$$

Expansion of $3(x + 5)$

$$3x + 15$$

Expansion of $7(a - 2)$

$$7a - 14$$

Expansion of $4(2m + 3)$

$$8m + 12$$

Expansion of $5(y + 8) - y$

4y+40

Expansion of $6(3p - 1)$

$$18p - 6$$

Factorisation of $12x + 18$

$$6(2x + 3)$$

Factorisation of $15a - 25$

$$5(3a - 5)$$

Factorisation of $20m + 30$

$$10(2m + 3)$$

Factorisation of $24y - 36$

$$12(2y - 3)$$

Factorisation of $18p^2 + 27p$

$$9p(2p + 3)$$

Values of $y$ for rule $y = x + 2$ when $x \text{ is } -2, -1, 0, 1, 2$

0,1,2,3,4

Values of $y$ for rule $y = 2x - 1$ when $x \text{ is } -2, -1, 0, 1, 2$

$$-5, -3, -1, 1, 3$$

Values of $y$ for rule $y = 3x + 1$ when $x \text{ is } -2, -1, 0, 1, 2$

$$-5, -2, 1, 4, 7$$

Rule for $x \text{: } 0, 1, 2, 3, 4$ and $y \text{: } 3, 5, 7, 9, 11$

$$y = 2x + 3$$

Rule for $x \text{: } 0, 1, 2, 3, 4$ and $y \text{: } -1, 2, 5, 8, 11$

$$y = 3x - 1$$

Rule for $x \text{: } 0, 1, 2, 3, 4$ and $y \text{: } 10, 8, 6, 4, 2$

$$y = -2x + 10$$

Gradient formula based on slope

$$m = \frac{\text{rise}}{\text{run}}$$

Gradient through points $(-1, 2)$ and $(3, 10)$

$$2$$

Gradient through points $(0, 4)$ and $(2, 0)$

$$-2$$

Gradient through points $(1, 1)$ and $(5, 9)$

$$2$$

Gradient through points $(-2, 5)$ and $(0, 1)$

$$-2$$

Time taken to walk $720\,\text{m}$ at speed $90\,\text{m/min}$

$$8\,\text{minutes}$$

Distance rule ($d$) for a cyclist $600\,\text{m}$ from home riding at $100\,\text{m/min}$

$$d = 600 - 100t$$

Distance remaining for a runner starting $500\,\text{m}$ away after $6\,\text{min}$ at $50\,\text{m/min}$

$$200\,\text{m}$$

Time taken to reach home from $800\,\text{m}$ away walking $80\,\text{m/min}$

$$10\,\text{minutes}$$

Distance remaining after $4\,\text{min}$ for a person starting $900\,\text{m}$ away walking $75\,\text{m/min}$

$$600\,\text{m}$$