Algebra - Solving One-Step Equations

  a - answer    s - solution    v - video    d - discussion

Question 1


Find the value of $x$

a) $x+2=3$a s v d
b) $x+3=5$a s v d
c) $x+5=9$a s v d
d) $x+10=15$a s v d
e) $6+x=8$a s v d
f) $11+x=17$a s v d
g) $20+x=29$a s v d
h) $6=x+2$a s v d
i) $10=x+3$a s v d
j) $15=4+x$a s v d
k) $x+3=1$a s v d
l) $x+7=2$a s v d
m) $9+x=0$a s v d
n) $1+x=-1$a s v d
o) $5+x=-10$a s v d
p) $-15+x=5$a s v d
q) $-3=5+x$a s v d
r) $-10=10+x$a s v d
s) $x+4=2+5$a s v d
t) $x+2+4=3+6$a s v d


Question 2


Find the value of $x$

a) $x-2=3$a s v d
b) $x-5=4$a s v d
c) $x-3=10$a s v d
d) $x-11=11$a s v d
e) $x-13=2$a s v d
f) $x-1=-4$a s v d
g) $x-3=-7$a s v d
h) $x-5=-11$a s v d
i) $4=x-3$a s v d
j) $10=x-9$a s v d


Question 3


Find the value of $x$

a) $2x=6$a s v d
b) $2x=8$a s v d
c) $2x=14$a s v d
d) $3x=15$a s v d
e) $4x=8$a s v d
f) $6x=24$a s v d
g) $10x=90$a s v d
h) $7x=49$a s v d
i) $12x=36$a s v d
j) $14x=56$a s v d
k) $2x=-8$a s v d
l) $4x=-12$a s v d
m) $6x=-6$a s v d
n) $10x=-50$a s v d
o) $15x=-30$a s v d
p) $-2x=4$a s v d
q) $-3x=9$a s v d
r) $-x=11$a s v d
s) $-2x=-10$a s v d
t) $-x=-55$a s v d
u) $32=2x$a s v d
v) $-55=5x$a s v d
w) $-23=-x$a s v d
x) $-30=-6x$a s v d
y) $56=-7x$a s v d
z) $108=-12x$a s v d


Question 4


Find the value of $x$

a) $\frac x2=3$a s v d
b) $\frac x3=4$a s v d
c) $\frac x4=4$a s v d
d) $\frac x5=10$a s v d
e) $\frac {x}{-6}=2$a s v d
f) $\frac {x}{-8}=1$a s v d
g) $\frac x7=-3$a s v d
h) $\frac x9=-4$a s v d
i) $\frac {x}{-11}=-4$a s v d
j) $\frac {x}{-15}=-3$a s v d
k) $4=\frac {x}{2}$a s v d
l) $5=\frac {x}{1}$a s v d
m) $6=\frac {x}{3}$a s v d
n) $10=\frac {x}{6}$a s v d
o) $5=\frac {x}{-2}$a s v d
p) $3=\frac {x}{-5}$a s v d
q) $6=\frac {x}{-1}$a s v d
r) $-2=\frac {x}{-7}$a s v d
s) $-10=\frac {x}{-10}$a s v d
t) $-11=\frac {x}{-7}$a s v d


Question 5


Find the value of $x$

a) $x+15=30$a s v d
b) $4x=20$a s v d
c) $\frac{x}{16}=3$a s v d
d) $22=x-17$a s v d
e) $-14+x=6$a s v d
f) $\frac{x}{-4}=15$a s v d
g) $8=x-22$a s v d
h) $-4x=-24$a s v d
i) $65x=-260$a s v d
j) $\frac{x}{-33}=-5$a s v d


Question 6


Find the value of $x$. Where necessary, leave answers as a mixed number

a) $x+6=7\frac12$a s v d
b) $x-2=\frac34$a s v d
c) $\frac{x}{4}=\frac18$a s v d
d) $5x=1$a s v d
e) $\frac23=x-\frac53$a s v d
f) $1\frac23=\frac{x}{2}$a s v d
g) $2\frac56=3x$a s v d
h) $22=7x$a s v d
i) $\frac32=\frac14 x$a s v d
j) $5\frac56=\frac{x}{\frac23}$a s v d


Question 7


Form an equation, and solve it

a) I think of a number, add $3$ to it and get $5$. What number was I thinking of?a s v d

b) I think of a number, subtract $10$ to it and get $15$. What number was I thinking of?a s v d

c) Sam buys $2$ bags of dice from a shop. These bags contain the same number of dice. After emptying them both, he counts $32$ dice. How many dice was in each bag?a s v d

d) Ada bought a bag jelly snakes from a shop. After sharing them out between her $8$ friends (not including herself), each friend has $11$ jelly snakes each. How many jelly snakes were in the bag?a s v d

e) Sophie finished fishing at $8$pm. She knew she was fishing of $5$ hours, at what time did she start fishing?a s v d

f) Joe bought $12$ litres of fuel for $\$30$. How much did one litre of fuel cost?a s v d

g) Two angles are on a straight line. One angle is $52$ degrees. What is the size of the other angle?a s v d