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PSLE

PSLE Foundation Mathematics

<p>Expand and simplify each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">$8(y - x) - 5(y - 3x)$</span></div></li><li><div class="list-item-content"><span class="list-item-text">$4m - (2m - n) - [n + (m - 3n)]$</span></div></li></ol>

Expand and simplify each of the following expressions.

Expansion of Linear Algebraic Expressions

Algebraic Expressions, Identities and Formulae

<p>Expand and simplify each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">$-6(2a - b) + 4(b - 5a)$</span></div></li><li><div class="list-item-content"><span class="list-item-text">$5p - 2(5p - q) + [3q - 4(p - q)]$</span></div></li></ol>

 Expansion of Linear Algebraic Expressions

<p>Simplify each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$16+a-8a-\left( 2a+9 \right)$</div></li><li><div class="list-item-paragraph">$5\left( -3x+4 \right)-3\left( -2x-7 \right)-\left( -8 \right)$</div></li></ol>

Simplify each of the following expressions.

Simplifying Multi-Step Algebraic Expressions with Brackets

<p>Simplify each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$2\left( m+3n \right)-\left( n-m \right)$</div></li><li><div class="list-item-paragraph">$2\left[ 4a-3\left( a-6 \right) \right]$</div></li></ol>

Simplifying Algebraic Expressions Involving Brackets

<p>Simplify each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$5\,\left( w+v \right)\,\,-\,\,3\left( w+4v \right)$</div></li><li><div class="list-item-paragraph">$8q-2\ \left[ 5p-\left( 7p-3q \right) \right]$</div></li></ol>

<p>Simplify each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$2k-3\left( 2-k \right)+4$</div></li><li><div class="list-item-paragraph">$3r-4s-3\left( r-2s \right)$</div></li><li><div class="list-item-paragraph">$2\left( x+1 \right)-3\left( 5-3x \right)$</div></li></ol>

Simplifying Algebraic Expressions with Brackets

<p>Simplify each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$5x-5(x-2)$</div></li><li><div class="list-item-paragraph">$3x-3(x+3)$</div></li><li><div class="list-item-paragraph">$2r-3(2-r)+4$</div></li></ol>

Simplifying Expressions Involving Brackets

<p>Expand where necessary and simplify each of the following expressions.</p>
<ol class="abc-list"><li data-list-item-id="item-1763582985922-cpnllnu0n" data-list-item-path="item-1763582985922-cpnllnu0n"><div class="list-item-paragraph">$\frac{1}{3}k-\frac{1}{4}m+\frac{2}{5}k-\frac{1}{2}m$</div></li><li data-list-item-id="item-1763582988071-dqt0gftzj" data-list-item-path="item-1763582988071-dqt0gftzj"><div class="list-item-paragraph">$\frac{4}{5}(15x-1)-\frac{2}{7}-(-7x+1)$</div></li></ol>

Expand where necessary and simplify each of the following expressions.

Addition and Subtraction of Linear Algebraic Expressions

Expansion and Simplification involving Fractional Coefficients

<p>Expand where necessary and simplify each of the following expressions.</p>
<ol class="abc-list"><li data-list-item-id="item-1763582738591-k4wi71lqz" data-list-item-path="item-1763582738591-k4wi71lqz"><div class="list-item-paragraph">$2a-\frac{2}{3}b-\frac{1}{2}a-\frac{1}{3}b$</div></li><li data-list-item-id="item-1763582741636-te0lth0kr" data-list-item-path="item-1763582741636-te0lth0kr"><div class="list-item-paragraph">$\frac{1}{2}(6a-4)+\frac{1}{3}-7a$</div></li></ol>

<p>Expand and simplify each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$3\left( x-y \right)-\left( x-3y \right)$</div></li><li><div class="list-item-paragraph">$3\left( 5a-2 \right)-\left( 7-2a \right)$</div></li><li><div class="list-item-paragraph">$5\left( 3a-b \right)-\left[ a-2b-2\left( b-3a \right) \right]$</div></li></ol>

Expansion and Simplification of Linear Expressions

<p>Expand and simplify each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$3\left( 2a+b \right)-2\left( a-b \right)$</div></li><li><div class="list-item-paragraph">$3\left( -x+6 \right)+2\left( 5x+4y \right)$</div></li><li><div class="list-item-paragraph">$11x-\left[ 3y-5\left( 2x-y \right) \right]$</div></li></ol>

<p>Expand each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$-2\left( -5a+11 \right)$</div></li><li><div class="list-item-paragraph">$2\left( -3x+8y \right)$</div></li><li><div class="list-item-paragraph">$-3p\left( 4q-2r \right)$</div></li></ol>

Expand each of the following expressions.

Expanding and Simplifying Algebraic Products

Expansion of Linear Expressions

<p>Expand each of the following expressions.</p>
<ol class="abc-list"><li><div class="list-item-paragraph">$4(-2+b)$</div></li><li><div class="list-item-paragraph">$-3(x-5y)$</div></li><li><div class="list-item-paragraph">$-2m(3k-l)$</div></li></ol>

<p>Simplify ${\frac{1}{2}(6a) - [5a - (8b + a)]}$.</p>

Simplify ${\frac{1}{2}(6a) - [5a - (8b + a)]}$.

1EM Unit 4 SW I Q5

<p>Simplify ${3(-x + 6) + 2(5x + 4y)}$.</p>

1EM Unit 4 SW I Q4

2023 ACSBR EM S1 EOY P1 Q2

<ol class="abc-list"><li><div class="list-item-paragraph">Expand and simplify $4\left( a+2b \right)-3\left( a-4b \right)$.</div><p style="text-align: right;">[2]</p></li><li><div class="list-item-paragraph">Given that $x=-1$, $y=2$ and $z=-5$, evaluate ${{y}^{3}}+{{x}^{2}}-z$.</div><p style="text-align: right;">[2]</p></li></ol>

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