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Algebra - Solving One-Step Equations

  a - answer    s - solution    v - video

Question 1


Find the value of $x$

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


Question 2


Find the value of $x$

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


Question 3


Find the value of $x$

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


Question 4


Find the value of $x$

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


Question 5


Find the value of $x$

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


Question 6


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

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


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

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

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) 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

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

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

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