Question 1
For the formula $x=y+10$
a) Find $x$ when $y=5$
a
$x=15$
Question ID: 20250010010
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b) Find $x$ when $y=14$
a
$x=24$
Question ID: 20250010020
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c) Find $x$ when $y=0$
a
$x=10$
Question ID: 20250010030
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d) Find $x$ when $y=-5$
a
$x=5$
Question ID: 20250010040
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e) Find $y$ when $x=12$
a
$y=2$
Question ID: 20250010050
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f) Find $y$ when $x=43$
a
$y=33$
Question ID: 20250010060
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g) Find $y$ when $x=6$
a
$y=-4$
Question ID: 20250010070
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h) Find $y$ when $x=8\frac12$
a
$y=-1\frac12$
Question ID: 20250010080
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Question 2
For the formula $c=100d$
a) Find $c$ when $d=2$
a
$c=200$
Question ID: 20250020010
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b) Find $c$ when $d=8$
a
$c=800$
Question ID: 20250020020
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c) Find $c$ when $d=\frac14$
a
$c=25$
Question ID: 20250020030
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d) Find $c$ when $d=-3$
a
$c=-300$
Question ID: 20250020040
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e) Find $d$ when $c=500$
a
$d=5$
Question ID: 20250020050
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f) Find $d$ when $c=1200$
a
$d=12$
Question ID: 20250020060
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g) Find $d$ when $c=20$
a
$d=\frac15$
Question ID: 20250020070
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h) Find $d$ when $c=-80$
a
$d=-\frac45$
Question ID: 20250020080
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Question 3
For the formula $g=h^2$
a) Find $g$ when $h=3$
a
$g=9$
Question ID: 20250030010
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b) Find $g$ when $h=11$
a
$g=121$
Question ID: 20250030020
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c) Find $g$ when $h=-4$
a
$g=16$
Question ID: 20250030030
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d) Find $g$ when $h=\frac13$
a
$g=\frac19$
Question ID: 20250030040
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e) Find $h$ when $g=25$
a
$h=5$ or $h=-5$
Question ID: 20250030050
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f) Find $h$ when $g=81$
a
$h=9$ or $h=-9$
Question ID: 20250030060
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g) Find $h$ when $g=\frac{1}{36}$
a
$h=\frac16$ or $h=-\frac16$
Question ID: 20250030070
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h) Find $h$ when $g=0.25$
a
$h=0.5$ or $h=-0.5$
Question ID: 20250030080
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Question 4
For the formula $x=2y+7$
a) Find $x$ when $y=4$
a
$x=15$
Question ID: 20250040010
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b) Find $x$ when $y=10$
a
$x=27$
Question ID: 20250040020
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c) Find $x$ when $y=-3$
a
$x=1$
Question ID: 20250040030
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d) Find $x$ when $y=\frac12$
a
$x=8$
Question ID: 20250040040
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e) Find $y$ when $x=13$
a
$y=3$
Question ID: 20250040050
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f) Find $y$ when $x=25$
a
$y=9$
Question ID: 20250040060
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g) Find $y$ when $x=7$
a
$y=0$
Question ID: 20250040070
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h) Find $y$ when $x=-2$
a
$y=-4\frac12$
Question ID: 20250040080
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Question 5
For the formula $A=lw$
a) Find $A$ when $l=2$ and $w=3$
a
$A=6$
Question ID: 20250050010
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b) Find $A$ when $l=8$ and $w=6$
a
$A=48$
Question ID: 20250050020
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c) Find $A$ when $l=-7$ and $w=-5$
a
$A=35$
Question ID: 20250050030
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d) Find $A$ when $l=\frac14$ and $w=12$
a
$A=3$
Question ID: 20250050040
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e) Find $l$ when $A=25$ and $w=5$
a
$l=5$
Question ID: 20250050050
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f) Find $l$ when $A=72$ and $w=9$
a
$l=8$
Question ID: 20250050060
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g) Find $w$ when $A=6$ and $l=\frac13$
a
$w=18$
Question ID: 20250050070
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h) Find $w$ when $A=-12$ and $l=-0.5$
a
$w=24$
Question ID: 20250050080
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Question 6
For the formula $m=2p-q$
a) Find $m$ when $p=3$ and $q=2$
a
$m=4$
Question ID: 20250060010
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b) Find $m$ when $p=7$ and $q=1$
a
$m=13$
Question ID: 20250060020
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c) Find $m$ when $p=2$ and $q=5$
a
$m=-1$
Question ID: 20250060030
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d) Find $m$ when $p=\frac12$ and $q=1$
a
$m=0$
Question ID: 20250060040
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e) Find $q$ when $m=4$ and $p=15$
a
$q=26$
Question ID: 20250060050
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f) Find $q$ when $m=-1$ and $p=11$
a
$q=23$
Question ID: 20250060060
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g) Find $p$ when $m=13$ and $q=7$
a
$p=10$
Question ID: 20250060070
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h) Find $p$ when $m=25$ and $q=2$
a
$p=13\frac12$
Question ID: 20250060080
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Question 7
For the formula $v=u+at$
a) Find $v$ when $u=2$, $a=10$ and $t=5$
a
$v=52$
Question ID: 20250070010
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b) Find $v$ when $u=18$, $a=15$ and $t=0$
a
$v=18$
Question ID: 20250070020
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c) Find $v$ when $u=3$, $a=21$ and $t=\frac13$
a
$v=10$
Question ID: 20250070030
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d) Find $u$ when $v=10$, $a=3$ and $t=2$
a
$u=4$
Question ID: 20250070040
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e) Find $u$ when $v=3$, $a=-8$ and $t=5$
a
$u=43$
Question ID: 20250070050
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f) Find $a$ when $v=17$, $u=5$ and $t=4$
a
$a=3$
Question ID: 20250070060
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g) Find $a$ when $v=0$, $u=50$ and $t=10$
a
$a=-5$
Question ID: 20250070070
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h) Find $t$ when $v=40$, $u=10$ and $a=3$
a
$t=10$
Question ID: 20250070080
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Question 8
For the formula $K=\frac12mv^2$
a) Find $K$ when $m=5$ and $v=2$
a
$K=10$
Question ID: 20250080010
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b) Find $K$ when $m=4$ and $v=3$
a
$K=18$
Question ID: 20250080020
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c) Find $K$ when $m=1$ and $v=-3$
a
$K=\frac92$ or $K=4\frac12$
Question ID: 20250080030
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d) Find $m$ when $K=16$ and $v=4$
a
$m=2$
Question ID: 20250080040
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e) Find $m$ when $K=50$ and $v=4$
a
$m=5$
Question ID: 20250080050
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f) Find $v$ when $K=54$ and $m=3$
a
Two Solutions
$v=6$ or $v=-6$
Question ID: 20250080060
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g) Find $v$ when $K=150$ and $m=12$
a
Two Solutions
$v=5$ or $v=-5$
Question ID: 20250080070
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h) Find $v$ when $K=1$ and $m=8$
a
Two Solutions
$v=\frac12$ or $v=-\frac12$
Question ID: 20250080080
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Question 9
For the formula $E=mc^2$
a) Find $E$ when $m=2$ and $c=300$
a
$E=180000$
Question ID: 20250090010
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b) Find $E$ when $m=0.0001$ and $c=600$
a
$E=36$
Question ID: 20250090020
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c) Find $E$ when $m=\frac12$ and $c=12$
a
$E=72$
Question ID: 20250090030
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d) Find $m$ when $E=4500$ and $c=30$
a
$m=5$
Question ID: 20250090040
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e) Find $m$ when $E=2025$ and $c=180$
a
$m=16$
Question ID: 20250090050
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f) Find $c$ when $E=405$ and $m=6$
a
$c=9$
Question ID: 20250090060
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g) Find $c$ when $E=900$ and $m=\frac{1}{100}$
a
$c=300$
Question ID: 20250090070
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h) Find $c$ when $E=562500$ and $m=\frac{1}{160000}$
a
$c=300000$
Question ID: 20250090080
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Question 10
For the formula $v=\sqrt{\frac{3RT}{M}}$
a) Find $v$ when $R=3$, $T=4$ and $M=1$
a
$v=6$
Question ID: 20250100010
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b) Find $v$ when $R=6$, $T=9$ and $M=2$
a
$v=9$
Question ID: 20250100020
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c) Find $v$ when $R=12$, $T=20$ and $M=5$
a
$v=12$
Question ID: 20250100030
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d) Find $R$ when $v=3$, $T=6$ and $M=6$
a
$R=3$
Question ID: 20250100040
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e) Find $R$ when $v=6$, $T=24$ and $M=8$
a
$R=4$
Question ID: 20250100050
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f) Find $T$ when $v=1$, $R=1$ and $M=9$
a
$R=3$
Question ID: 20250100060
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g) Find $M$ when $v=9$, $R=5$ and $T=27$
a
$M=5$
Question ID: 20250100070
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h) Find $M$ when $v=4$, $R=4$ and $T=8$
a
$M=6$
Question ID: 20250100080
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Question 11
For the formula $x=\frac{m\lambda L}{d}$
a) Find $x$ when $m=5$, $\lambda=4$, $L=15$ and $d=2$
a
$x=150$
Question ID: 20250110010
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b) Find $x$ when $m=3$, $\lambda=6$, $L=4$ and $d=9$
a
$x=8$
Question ID: 20250110020
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c) Find $m$ when $x=12$, $\lambda=5$, $L=8$ and $d=10$
a
$m=3$
Question ID: 20250110030
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d) Find $m$ when $x=7$, $\lambda=4$, $L=7$ and $d=2$
a
$m=\frac12$
Question ID: 20250110040
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e) Find $\lambda$ when $x=0.01$, $m=0.4$, $L=5$ and $d=10$
a
$\lambda=0.1$
Question ID: 20250110050
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f) Find $\lambda$ when $x=-5$, $m=-5$, $L=-2$ and $d=14$
a
$\lambda=-7$
Question ID: 20250110060
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g) Find $d$ when $x=36$, $m=12$, $\lambda=3$ and $L=5$
a
$d=5$
Question ID: 20250110070
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h) Find $d$ when $x=1$, $m=\frac14$, $\lambda=-20$ and $L=0.1$
a
$d=\frac12$
Question ID: 20250110080
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Question 12
For the formula $T=2\pi\sqrt{\frac Lg}$
a) Find the exact value of $T$ when $L=150$ and $g=6$
a
$T=10\pi$
Question ID: 20250120010
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b) Find the value of $T$ when $L=6$ and $g=\frac32\pi^2$
a
$T=4$
Question ID: 20250120020
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c) Find the value of $T$ when $L=\frac{9}{\pi^2}$ and $g=25$
a
$T=\frac65$
Question ID: 20250120030
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d) Find the value of $L$ when $T=6\pi$ and $g=5$
a
$L=45$
Question ID: 20250120040
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e) Find the exact value of $L$ when $T=10$ and $g=4$
a
$L=\frac{100}{\pi^2}$
Question ID: 20250120050
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f) Find the value of $g$ when $T=2\pi$ and $L=19$
a
$g=19$
Question ID: 20250120060
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g) Find the value of $g$ when $T=20\pi$ and $L=150$
a
$g=\frac32$
Question ID: 20250120070
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h) Find the exact value of $g$ when $T=3$ and $L=9$
a
$g=4\pi^2$
Question ID: 20250120080
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Question 13
For the formula $1-Q=\frac{1}{1-T}$
a) Find $Q$ when $T=-4$
a
$Q=\frac45$
Question ID: 20250130010
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b) Find $Q$ when $T=\frac12$
a
$Q=-1$
Question ID: 20250130020
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c) Find $Q$ when $T=19$
a
$Q=\frac{19}{18}$
Question ID: 20250130030
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d) Find $Q$ when $T=\frac83$
a
$Q=\frac85$
Question ID: 20250130040
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e) Find $T$ when $Q=0$
a
$T=0$
Question ID: 20250130050
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f) Find $T$ when $Q=\frac34$
a
$T=-3$
Question ID: 20250130060
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g) Find $T$ when $Q=2$
a
$T=2$
Question ID: 20250130070
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h) Find $T$ when $Q=\frac97$
a
$T=\frac92$
Question ID: 20250130080
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Question 14
For the formula $\frac1a=\frac1b+\frac1c$
a) Find $a$ when $b=\frac12$ and $c=\frac13$
a
$a=\frac15$
Question ID: 20250140010
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b) Find $a$ when $b=2$ and $c=3$
a
$a=\frac65$
Question ID: 20250140020
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c) Find $a$ when $b=\frac15$ and $c=2$
a
$a=\frac{2}{11}$
Question ID: 20250140030
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d) Find $b$ when $a=\frac19$ and $c=\frac15$
a
$b=\frac14$
Question ID: 20250140040
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e) Find $b$ when $a=\frac{24}{7}$ and $c=8$
a
$b=6$
Question ID: 20250140050
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f) Find $c$ when $a=\frac{1}{12}$ and $b=\frac15$
a
$c=\frac17$
Question ID: 20250140060
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g) Find $c$ when $a=\frac27$ and $b=\frac23$
a
$c=\frac12$
Question ID: 20250140070
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h) Find $c$ when $a=-4$ and $b=-\frac89$
a
$c=\frac87$
Question ID: 20250140080
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Question 1
For the formula $x=y+10$
a) Find $x$ when $y=5$
b) Find $x$ when $y=14$
c) Find $x$ when $y=0$
d) Find $x$ when $y=-5$
e) Find $y$ when $x=12$
f) Find $y$ when $x=43$
g) Find $y$ when $x=6$
h) Find $y$ when $x=8\frac12$
Question 2
For the formula $c=100d$
a) Find $c$ when $d=2$
b) Find $c$ when $d=8$
c) Find $c$ when $d=\frac14$
d) Find $c$ when $d=-3$
e) Find $d$ when $c=500$
f) Find $d$ when $c=1200$
g) Find $d$ when $c=20$
h) Find $d$ when $c=-80$
Question 3
For the formula $g=h^2$
a) Find $g$ when $h=3$
b) Find $g$ when $h=11$
c) Find $g$ when $h=-4$
d) Find $g$ when $h=\frac13$
e) Find $h$ when $g=25$
f) Find $h$ when $g=81$
g) Find $h$ when $g=\frac{1}{36}$
h) Find $h$ when $g=0.25$
Question 4
For the formula $x=2y+7$
a) Find $x$ when $y=4$
b) Find $x$ when $y=10$
c) Find $x$ when $y=-3$
d) Find $x$ when $y=\frac12$
e) Find $y$ when $x=13$
f) Find $y$ when $x=25$
g) Find $y$ when $x=7$
h) Find $y$ when $x=-2$
Question 5
For the formula $A=lw$
a) Find $A$ when $l=2$ and $w=3$
b) Find $A$ when $l=8$ and $w=6$
c) Find $A$ when $l=-7$ and $w=-5$
d) Find $A$ when $l=\frac14$ and $w=12$
e) Find $l$ when $A=25$ and $w=5$
f) Find $l$ when $A=72$ and $w=9$
g) Find $w$ when $A=6$ and $l=\frac13$
h) Find $w$ when $A=-12$ and $l=-0.5$
Question 6
For the formula $m=2p-q$
a) Find $m$ when $p=3$ and $q=2$
b) Find $m$ when $p=7$ and $q=1$
c) Find $m$ when $p=2$ and $q=5$
d) Find $m$ when $p=\frac12$ and $q=1$
e) Find $q$ when $m=4$ and $p=15$
f) Find $q$ when $m=-1$ and $p=11$
g) Find $p$ when $m=13$ and $q=7$
h) Find $p$ when $m=25$ and $q=2$
Question 7
For the formula $v=u+at$
a) Find $v$ when $u=2$, $a=10$ and $t=5$
b) Find $v$ when $u=18$, $a=15$ and $t=0$
c) Find $v$ when $u=3$, $a=21$ and $t=\frac13$
d) Find $u$ when $v=10$, $a=3$ and $t=2$
e) Find $u$ when $v=3$, $a=-8$ and $t=5$
f) Find $a$ when $v=17$, $u=5$ and $t=4$
g) Find $a$ when $v=0$, $u=50$ and $t=10$
h) Find $t$ when $v=40$, $u=10$ and $a=3$
Question 8
For the formula $K=\frac12mv^2$
a) Find $K$ when $m=5$ and $v=2$
b) Find $K$ when $m=4$ and $v=3$
c) Find $K$ when $m=1$ and $v=-3$
d) Find $m$ when $K=16$ and $v=4$
e) Find $m$ when $K=50$ and $v=4$
f) Find $v$ when $K=54$ and $m=3$
g) Find $v$ when $K=150$ and $m=12$
h) Find $v$ when $K=1$ and $m=8$
Question 9
For the formula $E=mc^2$
a) Find $E$ when $m=2$ and $c=300$
b) Find $E$ when $m=0.0001$ and $c=600$
c) Find $E$ when $m=\frac12$ and $c=12$
d) Find $m$ when $E=4500$ and $c=30$
e) Find $m$ when $E=2025$ and $c=180$
f) Find $c$ when $E=405$ and $m=6$
g) Find $c$ when $E=900$ and $m=\frac{1}{100}$
h) Find $c$ when $E=562500$ and $m=\frac{1}{160000}$
Question 10
For the formula $v=\sqrt{\frac{3RT}{M}}$
a) Find $v$ when $R=3$, $T=4$ and $M=1$
b) Find $v$ when $R=6$, $T=9$ and $M=2$
c) Find $v$ when $R=12$, $T=20$ and $M=5$
d) Find $R$ when $v=3$, $T=6$ and $M=6$
e) Find $R$ when $v=6$, $T=24$ and $M=8$
f) Find $T$ when $v=1$, $R=1$ and $M=9$
g) Find $M$ when $v=9$, $R=5$ and $T=27$
h) Find $M$ when $v=4$, $R=4$ and $T=8$
Question 11
For the formula $x=\frac{m\lambda L}{d}$
a) Find $x$ when $m=5$, $\lambda=4$, $L=15$ and $d=2$
b) Find $x$ when $m=3$, $\lambda=6$, $L=4$ and $d=9$
c) Find $m$ when $x=12$, $\lambda=5$, $L=8$ and $d=10$
d) Find $m$ when $x=7$, $\lambda=4$, $L=7$ and $d=2$
e) Find $\lambda$ when $x=0.01$, $m=0.4$, $L=5$ and $d=10$
f) Find $\lambda$ when $x=-5$, $m=-5$, $L=-2$ and $d=14$
g) Find $d$ when $x=36$, $m=12$, $\lambda=3$ and $L=5$
h) Find $d$ when $x=1$, $m=\frac14$, $\lambda=-20$ and $L=0.1$
Question 12
For the formula $T=2\pi\sqrt{\frac Lg}$
a) Find the exact value of $T$ when $L=150$ and $g=6$
b) Find the value of $T$ when $L=6$ and $g=\frac32\pi^2$
c) Find the value of $T$ when $L=\frac{9}{\pi^2}$ and $g=25$
d) Find the value of $L$ when $T=6\pi$ and $g=5$
e) Find the exact value of $L$ when $T=10$ and $g=4$
f) Find the value of $g$ when $T=2\pi$ and $L=19$
g) Find the value of $g$ when $T=20\pi$ and $L=150$
h) Find the exact value of $g$ when $T=3$ and $L=9$
Question 13
For the formula $1-Q=\frac{1}{1-T}$
a) Find $Q$ when $T=-4$
b) Find $Q$ when $T=\frac12$
c) Find $Q$ when $T=19$
d) Find $Q$ when $T=\frac83$
e) Find $T$ when $Q=0$
f) Find $T$ when $Q=\frac34$
g) Find $T$ when $Q=2$
h) Find $T$ when $Q=\frac97$
Question 14
For the formula $\frac1a=\frac1b+\frac1c$
a) Find $a$ when $b=\frac12$ and $c=\frac13$
b) Find $a$ when $b=2$ and $c=3$
c) Find $a$ when $b=\frac15$ and $c=2$
d) Find $b$ when $a=\frac19$ and $c=\frac15$
e) Find $b$ when $a=\frac{24}{7}$ and $c=8$
f) Find $c$ when $a=\frac{1}{12}$ and $b=\frac15$
g) Find $c$ when $a=\frac27$ and $b=\frac23$
h) Find $c$ when $a=-4$ and $b=-\frac89$
Question 1
For the formula $x=y+10$
a) Find $x$ when $y=5$
b) Find $x$ when $y=14$
c) Find $x$ when $y=0$
d) Find $x$ when $y=-5$
e) Find $y$ when $x=12$
f) Find $y$ when $x=43$
g) Find $y$ when $x=6$
h) Find $y$ when $x=8\frac12$
Question 2
For the formula $c=100d$
a) Find $c$ when $d=2$
b) Find $c$ when $d=8$
c) Find $c$ when $d=\frac14$
d) Find $c$ when $d=-3$
e) Find $d$ when $c=500$
f) Find $d$ when $c=1200$
g) Find $d$ when $c=20$
h) Find $d$ when $c=-80$
Question 3
For the formula $g=h^2$
a) Find $g$ when $h=3$
b) Find $g$ when $h=11$
c) Find $g$ when $h=-4$
d) Find $g$ when $h=\frac13$
e) Find $h$ when $g=25$
f) Find $h$ when $g=81$
g) Find $h$ when $g=\frac{1}{36}$
h) Find $h$ when $g=0.25$
Question 4
For the formula $x=2y+7$
a) Find $x$ when $y=4$
b) Find $x$ when $y=10$
c) Find $x$ when $y=-3$
d) Find $x$ when $y=\frac12$
e) Find $y$ when $x=13$
f) Find $y$ when $x=25$
g) Find $y$ when $x=7$
h) Find $y$ when $x=-2$
Question 5
For the formula $A=lw$
a) Find $A$ when $l=2$ and $w=3$
b) Find $A$ when $l=8$ and $w=6$
c) Find $A$ when $l=-7$ and $w=-5$
d) Find $A$ when $l=\frac14$ and $w=12$
e) Find $l$ when $A=25$ and $w=5$
f) Find $l$ when $A=72$ and $w=9$
g) Find $w$ when $A=6$ and $l=\frac13$
h) Find $w$ when $A=-12$ and $l=-0.5$
Question 6
For the formula $m=2p-q$
a) Find $m$ when $p=3$ and $q=2$
b) Find $m$ when $p=7$ and $q=1$
c) Find $m$ when $p=2$ and $q=5$
d) Find $m$ when $p=\frac12$ and $q=1$
e) Find $q$ when $m=4$ and $p=15$
f) Find $q$ when $m=-1$ and $p=11$
g) Find $p$ when $m=13$ and $q=7$
h) Find $p$ when $m=25$ and $q=2$
Question 7
For the formula $v=u+at$
a) Find $v$ when $u=2$, $a=10$ and $t=5$
b) Find $v$ when $u=18$, $a=15$ and $t=0$
c) Find $v$ when $u=3$, $a=21$ and $t=\frac13$
d) Find $u$ when $v=10$, $a=3$ and $t=2$
e) Find $u$ when $v=3$, $a=-8$ and $t=5$
f) Find $a$ when $v=17$, $u=5$ and $t=4$
g) Find $a$ when $v=0$, $u=50$ and $t=10$
h) Find $t$ when $v=40$, $u=10$ and $a=3$
Question 8
For the formula $K=\frac12mv^2$
a) Find $K$ when $m=5$ and $v=2$
b) Find $K$ when $m=4$ and $v=3$
c) Find $K$ when $m=1$ and $v=-3$
d) Find $m$ when $K=16$ and $v=4$
e) Find $m$ when $K=50$ and $v=4$
f) Find $v$ when $K=54$ and $m=3$
g) Find $v$ when $K=150$ and $m=12$
h) Find $v$ when $K=1$ and $m=8$
Question 9
For the formula $E=mc^2$
a) Find $E$ when $m=2$ and $c=300$
b) Find $E$ when $m=0.0001$ and $c=600$
c) Find $E$ when $m=\frac12$ and $c=12$
d) Find $m$ when $E=4500$ and $c=30$
e) Find $m$ when $E=2025$ and $c=180$
f) Find $c$ when $E=405$ and $m=6$
g) Find $c$ when $E=900$ and $m=\frac{1}{100}$
h) Find $c$ when $E=562500$ and $m=\frac{1}{160000}$
Question 10
For the formula $v=\sqrt{\frac{3RT}{M}}$
a) Find $v$ when $R=3$, $T=4$ and $M=1$
b) Find $v$ when $R=6$, $T=9$ and $M=2$
c) Find $v$ when $R=12$, $T=20$ and $M=5$
d) Find $R$ when $v=3$, $T=6$ and $M=6$
e) Find $R$ when $v=6$, $T=24$ and $M=8$
f) Find $T$ when $v=1$, $R=1$ and $M=9$
g) Find $M$ when $v=9$, $R=5$ and $T=27$
h) Find $M$ when $v=4$, $R=4$ and $T=8$
Question 11
For the formula $x=\frac{m\lambda L}{d}$
a) Find $x$ when $m=5$, $\lambda=4$, $L=15$ and $d=2$
b) Find $x$ when $m=3$, $\lambda=6$, $L=4$ and $d=9$
c) Find $m$ when $x=12$, $\lambda=5$, $L=8$ and $d=10$
d) Find $m$ when $x=7$, $\lambda=4$, $L=7$ and $d=2$
e) Find $\lambda$ when $x=0.01$, $m=0.4$, $L=5$ and $d=10$
f) Find $\lambda$ when $x=-5$, $m=-5$, $L=-2$ and $d=14$
g) Find $d$ when $x=36$, $m=12$, $\lambda=3$ and $L=5$
h) Find $d$ when $x=1$, $m=\frac14$, $\lambda=-20$ and $L=0.1$
Question 12
For the formula $T=2\pi\sqrt{\frac Lg}$
a) Find the exact value of $T$ when $L=150$ and $g=6$
b) Find the value of $T$ when $L=6$ and $g=\frac32\pi^2$
c) Find the value of $T$ when $L=\frac{9}{\pi^2}$ and $g=25$
d) Find the value of $L$ when $T=6\pi$ and $g=5$
e) Find the exact value of $L$ when $T=10$ and $g=4$
f) Find the value of $g$ when $T=2\pi$ and $L=19$
g) Find the value of $g$ when $T=20\pi$ and $L=150$
h) Find the exact value of $g$ when $T=3$ and $L=9$
Question 13
For the formula $1-Q=\frac{1}{1-T}$
a) Find $Q$ when $T=-4$
b) Find $Q$ when $T=\frac12$
c) Find $Q$ when $T=19$
d) Find $Q$ when $T=\frac83$
e) Find $T$ when $Q=0$
f) Find $T$ when $Q=\frac34$
g) Find $T$ when $Q=2$
h) Find $T$ when $Q=\frac97$
Question 14
For the formula $\frac1a=\frac1b+\frac1c$
a) Find $a$ when $b=\frac12$ and $c=\frac13$
b) Find $a$ when $b=2$ and $c=3$
c) Find $a$ when $b=\frac15$ and $c=2$
d) Find $b$ when $a=\frac19$ and $c=\frac15$
e) Find $b$ when $a=\frac{24}{7}$ and $c=8$
f) Find $c$ when $a=\frac{1}{12}$ and $b=\frac15$
g) Find $c$ when $a=\frac27$ and $b=\frac23$
h) Find $c$ when $a=-4$ and $b=-\frac89$
Answers
Question 1
a) $x=15$
b) $x=24$
c) $x=10$
d) $x=5$
e) $y=2$
f) $y=33$
g) $y=-4$
h) $y=-1\frac12$
Question 2
a) $c=200$
b) $c=800$
c) $c=25$
d) $c=-300$
e) $d=5$
f) $d=12$
g) $d=\frac15$
h) $d=-\frac45$
Question 3
a) $g=9$
b) $g=121$
c) $g=16$
d) $g=\frac19$
e) $h=5$ or $h=-5$
f) $h=9$ or $h=-9$
g) $h=\frac16$ or $h=-\frac16$
h) $h=0.5$ or $h=-0.5$
Question 4
a) $x=15$
b) $x=27$
c) $x=1$
d) $x=8$
e) $y=3$
f) $y=9$
g) $y=0$
h) $y=-4\frac12$
Question 5
a) $A=6$
b) $A=48$
c) $A=35$
d) $A=3$
e) $l=5$
f) $l=8$
g) $w=18$
h) $w=24$
Question 6
a) $m=4$
b) $m=13$
c) $m=-1$
d) $m=0$
e) $q=26$
f) $q=23$
g) $p=10$
h) $p=13\frac12$
Question 7
a) $v=52$
b) $v=18$
c) $v=10$
d) $u=4$
e) $u=43$
f) $a=3$
g) $a=-5$
h) $t=10$
Question 8
a) $K=10$
b) $K=18$
c) $K=\frac92$ or $K=4\frac12$
d) $m=2$
e) $m=5$
f) Two Solutions
$v=6$ or $v=-6$
g) Two Solutions
$v=5$ or $v=-5$
h) Two Solutions
$v=\frac12$ or $v=-\frac12$
Question 9
a) $E=180000$
b) $E=36$
c) $E=72$
d) $m=5$
e) $m=16$
f) $c=9$
g) $c=300$
h) $c=300000$
Question 10
a) $v=6$
b) $v=9$
c) $v=12$
d) $R=3$
e) $R=4$
f) $R=3$
g) $M=5$
h) $M=6$
Question 11
a) $x=150$
b) $x=8$
c) $m=3$
d) $m=\frac12$
e) $\lambda=0.1$
f) $\lambda=-7$
g) $d=5$
h) $d=\frac12$
Question 12
a) $T=10\pi$
b) $T=4$
c) $T=\frac65$
d) $L=45$
e) $L=\frac{100}{\pi^2}$
f) $g=19$
g) $g=\frac32$
h) $g=4\pi^2$
Question 13
a) $Q=\frac45$
b) $Q=-1$
c) $Q=\frac{19}{18}$
d) $Q=\frac85$
e) $T=0$
f) $T=-3$
g) $T=2$
h) $T=\frac92$
Question 14
a) $a=\frac15$
b) $a=\frac65$
c) $a=\frac{2}{11}$
d) $b=\frac14$
e) $b=6$
f) $c=\frac17$
g) $c=\frac12$
h) $c=\frac87$