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Algebra - Solving Two-Step Equations

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

Question 1


Find the value of $x$

a) $2x+1=7$  a s v d
b) $3x+2=8$  a s v d
c) $5x+8=28$  a s v d
d) $10x+4=54$  a s v d
e) $9x+2=11$  a s v d
f) $8x+12=60$  a s v d
g) $7x+15=36$  a s v d
h) $2+5x=32$  a s v d
i) $16+3x=19$  a s v d
j) $76=12x+4$  a s v d


Question 2


Find the value of $x$

a) $2x-3=5$  a s v d
b) $3x-6=9$  a s v d
c) $7x-1=13$  a s v d
d) $4x-12=20$  a s v d
e) $9x-10=17$  a s v d
f) $20-2x=2$  a s v d
g) $50-3x=35$  a s v d
h) $10-6x=4$  a s v d
i) $47=10x-3$  a s v d
j) $4=44-2x$  a s v d


Question 3


Find the value of $x$

a) $\frac x2+6=8$  a s v d
b) $\frac x3+12=15$  a s v d
c) $\frac x2+3=8$  a s v d
d) $\frac x6+14=16$  a s v d
e) $16+\frac x5=19$  a s v d
f) $22+\frac x7=23$  a s v d
g) $6=\frac x4+1$  a s v d
h) $26=\frac x3+15$  a s v d
i) $27=20+\frac x2$  a s v d
j) $41=39+\frac x8$  a s v d


Question 4


Find the value of $x$

a) $\frac x2-1=2$  a s v d
b) $\frac x2-3=1$  a s v d
c) $\frac x1-2=0$  a s v d
d) $\frac x4-1=1$  a s v d
e) $\frac x5-2=0$  a s v d
f) $\frac x5-6=3$  a s v d
g) $1=\frac x6-3$  a s v d
h) $3=\frac x4-2$  a s v d
i) $0=\frac x2-6$  a s v d
j) $4=\frac x7-1$  a s v d


Question 5


Find the value of $x$

a) $2(x+5)=14$  a s v d
b) $3(x+3)=24$  a s v d
c) $5(x+3)=50$  a s v d
d) $4(x+3)=60$  a s v d
e) $20(x+4)=80$  a s v d
f) $3(5+x)=60$  a s v d
g) $5(2+x)=70$  a s v d
h) $132=12(x+8)$  a s v d
i) $78=6(x+2)$  a s v d
j) $200=10(3+x)$  a s v d


Question 6


Find the value of $x$

a) $2(x-5)=6$  a s v d
b) $3(x-4)=18$  a s v d
c) $5(x-10)=25$  a s v d
d) $10(x-8)=150$  a s v d
e) $7(x-12)=63$  a s v d
f) $13(x-28)=26$  a s v d
g) $90=3(x-20)$  a s v d
h) $81=9(x-1)$  a s v d
i) $75=5(x-1)$  a s v d
j) $300=5(x-18)$  a s v d


Question 7


Find the value of $x$

a) $\frac{x+2}{3}=4$  a s v d
b) $\frac{x+5}{4}=9$  a s v d
c) $\frac{x+10}{3}=5$  a s v d
d) $\frac{x+6}{5}=7$  a s v d
e) $\frac{x+2}{10}=8$  a s v d
f) $\frac{19+x}{6}=8$  a s v d
g) $\frac{11+x}{5}=10$  a s v d
h) $6=\frac{x+3}{6}$  a s v d
i) $12=\frac{x+7}{5}$  a s v d
j) $6=\frac{21+x}{15}$  a s v d


Question 8


Find the value of $x$

a) $\frac{x-1}{6}=2$  a s v d
b) $\frac{x-6}{2}=7$  a s v d
c) $\frac{x-10}{4}=5$  a s v d
d) $\frac{x-4}{9}=8$  a s v d
e) $\frac{x-16}{3}=12$  a s v d
f) $\frac{x-13}{5}=12$  a s v d
g) $10=\frac{x-6}{9}$  a s v d
h) $3=\frac{x-32}{2}$  a s v d
i) $6=\frac{x-12}{3}$  a s v d
j) $5=\frac{x-5}{5}$  a s v d


Question 9


Find the value of $x$. Answers may be negative numbers

a) $2x+6=4$  a s v d
b) $5x-6=-21$  a s v d
c) $\frac x4+15=7$  a s v d
d) $-10=\frac x5-6$  a s v d
e) $-2(x+3)=-6$  a s v d
f) $18=-3(5+x)$  a s v d
g) $\frac{x+22}{-4}=-5$  a s v d
h) $-10=\frac{x-13}{3}$  a s v d
i) $-42=-7(x+22)$  a s v d
j) $-13=\frac{44+x}{10}$  a s v d


Question 10


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

a) $2x+1=2$  a s v d
b) $0=4x-1$  a s v d
c) $\frac x2+4=5\frac13$  a s v d
d) $4(x+1)=9$  a s v d
e) $6(x-5)=32$  a s v d
f) $\frac {x-2}{3}=\frac23$  a s v d
g) $4x-\frac15=3$  a s v d
h) $5(x+1\frac12)=-5$  a s v d
i) $\frac{x-\frac38}{4}=\frac18$  a s v d
j) $\frac{46}{21}=5\frac23+\frac{x}{3}$  a s v d