Introduction to Algebra (Cambridge International IGCSE Maths): Exam Questions

Find the value of $7x+3y$ when* *$x=12$ and $y=-6$.

$f=3g+7h$

Work out the value of $f$ when $g=---5$ and $h=2$

Sofia is trying to simplify $\frac{6c+10}{2}$

Her method is divide $6c$ by $2$ then add $10$

Evaluate her method.

Use the formula $s=ut+\frac{1}{2}at^{2}$.

Calculate $s$ when $u$ = 5, $t$ = 10 and $a$ = 3.

$s$ = ..............

$s=ut+\frac{1}{2}at^{2}$

Find the value of $s$ when $u=5.2,t=7$ and $a=1.6.$

$s=$ ................................................

$y=mx+c$*. *

Find the value of y when $m=-2$, $x=-7$ and* *$c=-3$.

$y=$ ..............................................

The body mass index, $B$ , for a person of mass $m$ kg and height $h$ metres is given by the formula

$B=\frac{m}{h^{2}}$

Usman has a mass of 50 kg.

He has a height of 1.57 m.

Work out Usman's body mass index.

Give your answer correct to one decimal place.

Extract:

The body mass index, ![B] , for a person of mass ![m] kg and height ![h] metres is given by the formula

![B equals m over h squared]

Tom's height is 1.80m. He wants his body mass index to be 21

Work out the mass that will give Tom a body mass index of 21.

$A=4bc\,\,A=100\,b=2$

Work out the value of $c$.

$x=0.7$

Work out the value of $\frac{( x + 1 )^{2}}{2 x}$

Write down all the figures on your calculator display.

$w=5y^{2}--y^{3}$

Work out the value of $w$ when $y=--2$

$w=$...................................................

$G=c^{2}--4c$

Find the value of $G$ when $c=--5$

$G=$ .........................................

Find the value of $s$ when $u=12,$ $a=10$ and $t=4$.

$s=ut+\frac{1}{2}at^{2}$

$y=\sqrt{u^{2}x}$

Find the value of $y$ when $u=7$ and $x=25$.

$y$ = ..............................................

$s=ut+\frac{1}{2}at^{2}$

Find $s$ when $t=26.5,u=104.3,a=-2.2.$

Give your answer in standard form, correct to 4 significant figures.

$s$ = ....................................................

$\frac{a}{b}=3c$

$\frac{b}{c}=2$

Work out the value of $a$ when $c=8$

$a$and $b$ are positive values.

Show that $\frac{7a+2b-3a}{8a+6b+2a-b}$ always simplifies to the same value.

Amy has $x$ beads.

Billy has three more beads than Amy.

Carly has four times as many beads as Billy.

Circle the expression for the number of beads that Carly has.