8B

Substitution

Evaluating algebraic expressions and formulas by substituting numbers for pronumerals, using the order of operations.

Substituting values

Example 1●

Find $4a + 3b$ when $a = 5$ and $b = 2$.

$4 \times 5 + 3 \times 2$
$= 20 + 6 = 26$
Example 2●●

Find $\dfrac{x^2 + 1}{y}$ when $x = 3$ and $y = 2$.

$\dfrac{3^2 + 1}{2} = \dfrac{10}{2} = 5$

Formulas

Example 3●●

A rectangle's perimeter is $P = 2l + 2w$. Find $P$ when $l = 12$ cm and $w = 7$ cm.

$P = 2 \times 12 + 2 \times 7 = 24 + 14 = 38$ cm
Flashcards
If $a = 5$, $3a = $
$15$
Substitution step 1
Replace letters with numbers and write in the $\times$ signs.
$x^2$ when $x = 4$
$16$
Practice
  1. Find $4a + 3b$ when $a = 5$, $b = 2$.

  2. Find $\dfrac{x^2 + 1}{y}$ when $x = 3$, $y = 2$.

  3. Find $P = 2l + 2w$ when $l = 12$, $w = 7$.

  4. Find $3a$ when $a = 5$.

  5. Find $abc$ when $a = 1$, $b = 3$, $c = 7$.

  6. Find $2(m + 9)$ when $m = 5$.

  7. Find $2x^2$ when $x = 5$.

  8. Celsius to Fahrenheit: $F = 1.8C + 32$. Find $F$ when $C = 25$.

More questions

New numbers every time. Keep going until you get five in a row.

Formula sheet