Algebra - Solving Two-Step Equations
Question 1
Find the value of $x$
a) $2x+1=7$
a
$x=3$
Question ID: 20130010010
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b) $3x+2=8$
a
$x=2$
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c) $5x+8=28$
a
$x=4$
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d) $10x+4=54$
a
$x=5$
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e) $9x+2=11$
a
$x=1$
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f) $8x+12=60$
a
$x=6$
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g) $7x+15=36$
a
$x=3$
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h) $2+5x=32$
a
$x=6$
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i) $16+3x=19$
a
$x=1$
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j) $76=12x+4$
a
$x=6$
Question ID: 20130010100
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Question 2
Find the value of $x$
a) $2x-3=5$
a
$x=4$
Question ID: 20130020010
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b) $3x-6=9$
a
$x=5$
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c) $7x-1=13$
a
$x=2$
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d) $4x-12=20$
a
$x=8$
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e) $9x-10=17$
a
$x=3$
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f) $20-2x=2$
a
$x=9$
Question ID: 20130020060
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g) $50-3x=35$
a
$x=5$
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h) $10-6x=4$
a
$x=1$
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i) $47=10x-3$
a
$x=5$
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j) $4=44-2x$
a
$x=20$
Question ID: 20130020100
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Question 3
Find the value of $x$
a) $\frac x2+6=8$
a
$x=4$
Question ID: 20130030010
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b) $\frac x3+12=15$
a
$x=9$
Question ID: 20130030020
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c) $\frac x2+3=8$
a
$x=10$
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d) $\frac x6+14=16$
a
$x=12$
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e) $16+\frac x5=19$
a
$x=15$
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f) $22+\frac x7=23$
a
$x=7$
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g) $6=\frac x4+1$
a
$x=20$
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h) $26=\frac x3+15$
a
$x=33$
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i) $27=20+\frac x2$
a
$x=14$
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j) $41=39+\frac x8$
a
$x=16$
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Question 4
Find the value of $x$
a) $\frac x2-1=2$
a
$x=6$
Question ID: 20130040010
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b) $\frac x2-3=1$
a
$x=8$
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c) $\frac x1-2=0$
a
$x=2$
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d) $\frac x4-1=1$
a
$x=8$
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e) $\frac x5-2=0$
a
$x=10$
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f) $\frac x5-6=3$
a
$x=45$
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g) $1=\frac x6-3$
a
$x=24$
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h) $3=\frac x4-2$
a
$x=20$
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i) $0=\frac x2-6$
a
$x=12$
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j) $4=\frac x7-1$
a
$x=35$
Question ID: 20130040100
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Question 5
Find the value of $x$
a) $2(x+5)=14$
a
$x=2$
Question ID: 20130050010
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b) $3(x+3)=24$
a
$x=5$
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c) $5(x+3)=50$
a
$x=7$
Question ID: 20130050030
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d) $4(x+3)=60$
a
$x=12$
Question ID: 20130050040
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e) $20(x+4)=80$
a
$x=0$
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f) $3(5+x)=60$
a
$x=15$
Question ID: 20130050060
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g) $5(2+x)=70$
a
$x=12$
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h) $132=12(x+8)$
a
$x=3$
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i) $78=6(x+2)$
a
$x=11$
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j) $200=10(3+x)$
a
$x=17$
Question ID: 20130050100
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Question 6
Find the value of $x$
a) $2(x-5)=6$
a
$x=8$
Question ID: 20130060010
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b) $3(x-4)=18$
a
$x=10$
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c) $5(x-10)=25$
a
$x=15$
Question ID: 20130060030
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d) $10(x-8)=150$
a
$x=23$
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e) $7(x-12)=63$
a
$x=21$
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f) $13(x-28)=26$
a
$x=30$
Question ID: 20130060060
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g) $90=3(x-20)$
a
$x=50$
Question ID: 20130060070
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h) $81=9(x-1)$
a
$x=10$
Question ID: 20130060080
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i) $75=5(x-1)$
a
$x=16$
Question ID: 20130060090
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j) $300=5(x-18)$
a
$x=78$
Question ID: 20130060100
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Question 7
Find the value of $x$
a) $\frac{x+2}{3}=4$
a
$x=10$
Question ID: 20130070010
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b) $\frac{x+5}{4}=9$
a
$x=31$
Question ID: 20130070020
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c) $\frac{x+10}{3}=5$
a
$x=5$
Question ID: 20130070030
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d) $\frac{x+6}{5}=7$
a
$x=29$
Question ID: 20130070040
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e) $\frac{x+2}{10}=8$
a
$x=78$
Question ID: 20130070050
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f) $\frac{19+x}{6}=8$
a
$x=29$
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g) $\frac{11+x}{5}=10$
a
$x=39$
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h) $6=\frac{x+3}{6}$
a
$x=33$
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i) $12=\frac{x+7}{5}$
a
$x=53$
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j) $6=\frac{21+x}{15}$
a
$x=69$
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Question 8
Find the value of $x$
a) $\frac{x-1}{6}=2$
a
$x=13$
Question ID: 20130080010
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b) $\frac{x-6}{2}=7$
a
$x=20$
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c) $\frac{x-10}{4}=5$
a
$x=30$
Question ID: 20130080030
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d) $\frac{x-4}{9}=8$
a
$x=76$
Question ID: 20130080040
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e) $\frac{x-16}{3}=12$
a
$x=52$
Question ID: 20130080050
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f) $\frac{x-13}{5}=12$
a
$x=73$
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g) $10=\frac{x-6}{9}$
a
$x=96$
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h) $3=\frac{x-32}{2}$
a
$x=38$
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i) $6=\frac{x-12}{3}$
a
$x=30$
Question ID: 20130080090
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j) $5=\frac{x-5}{5}$
a
$x=30$
Question ID: 20130080100
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Question 9
Find the value of $x$. Answers may be negative numbers
a) $2x+6=4$
a
$x=-1$
Question ID: 20130090010
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b) $5x-6=-21$
a
$x=-3$
Question ID: 20130090020
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c) $\frac x4+15=7$
a
$x=-32$
Question ID: 20130090030
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d) $-10=\frac x5-6$
a
$x=-20$
Question ID: 20130090040
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e) $-2(x+3)=-6$
a
$x=0$
Question ID: 20130090050
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f) $18=-3(5+x)$
a
$x=-11$
Question ID: 20130090060
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g) $\frac{x+22}{-4}=-5$
a
$x=-2$
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h) $-10=\frac{x-13}{3}$
a
$x=-17$
Question ID: 20130090080
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i) $-42=-7(x+22)$
a
$x=-28$
Question ID: 20130090090
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j) $-13=\frac{44+x}{10}$
a
$x=-86$
Question ID: 20130090100
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Question 10
Find the value of $x$. Where necessary, leave answers as mixed numbers
a) $2x+1=2$
a
$x=\frac12$
Question ID: 20130100010
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b) $0=4x-1$
a
$x=\frac14$
Question ID: 20130100020
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c) $\frac x2+4=5\frac13$
a
$x=2\frac23$
Question ID: 20130100030
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d) $4(x+1)=9$
a
$x=1\frac14$
Question ID: 20130100040
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e) $6(x-5)=32$
a
$x=\frac13$
Question ID: 20130100050
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f) $\frac {x-2}{3}=\frac23$
a
$x=4$
Question ID: 20130100060
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g) $4x-\frac15=3$
a
$x=-\frac45$
Question ID: 20130100070
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h) $5(x+1\frac12)=-5$
a
$x=-2\frac12$
Question ID: 20130100080
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i) $\frac{x-\frac38}{4}=\frac18$
a
$x=\frac78$
Question ID: 20130100090
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j) $\frac{46}{21}=5\frac23+\frac{x}{3}$
a
$x=-4\frac67$
Question ID: 20130100100
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Question 1
Find the value of $x$
a) $2x+1=7$
b) $3x+2=8$
c) $5x+8=28$
d) $10x+4=54$
e) $9x+2=11$
f) $8x+12=60$
g) $7x+15=36$
h) $2+5x=32$
i) $16+3x=19$
j) $76=12x+4$
Question 2
Find the value of $x$
a) $2x-3=5$
b) $3x-6=9$
c) $7x-1=13$
d) $4x-12=20$
e) $9x-10=17$
f) $20-2x=2$
g) $50-3x=35$
h) $10-6x=4$
i) $47=10x-3$
j) $4=44-2x$
Question 3
Find the value of $x$
a) $\frac x2+6=8$
b) $\frac x3+12=15$
c) $\frac x2+3=8$
d) $\frac x6+14=16$
e) $16+\frac x5=19$
f) $22+\frac x7=23$
g) $6=\frac x4+1$
h) $26=\frac x3+15$
i) $27=20+\frac x2$
j) $41=39+\frac x8$
Question 4
Find the value of $x$
a) $\frac x2-1=2$
b) $\frac x2-3=1$
c) $\frac x1-2=0$
d) $\frac x4-1=1$
e) $\frac x5-2=0$
f) $\frac x5-6=3$
g) $1=\frac x6-3$
h) $3=\frac x4-2$
i) $0=\frac x2-6$
j) $4=\frac x7-1$
Question 5
Find the value of $x$
a) $2(x+5)=14$
b) $3(x+3)=24$
c) $5(x+3)=50$
d) $4(x+3)=60$
e) $20(x+4)=80$
f) $3(5+x)=60$
g) $5(2+x)=70$
h) $132=12(x+8)$
i) $78=6(x+2)$
j) $200=10(3+x)$
Question 6
Find the value of $x$
a) $2(x-5)=6$
b) $3(x-4)=18$
c) $5(x-10)=25$
d) $10(x-8)=150$
e) $7(x-12)=63$
f) $13(x-28)=26$
g) $90=3(x-20)$
h) $81=9(x-1)$
i) $75=5(x-1)$
j) $300=5(x-18)$
Question 7
Find the value of $x$
a) $\frac{x+2}{3}=4$
b) $\frac{x+5}{4}=9$
c) $\frac{x+10}{3}=5$
d) $\frac{x+6}{5}=7$
e) $\frac{x+2}{10}=8$
f) $\frac{19+x}{6}=8$
g) $\frac{11+x}{5}=10$
h) $6=\frac{x+3}{6}$
i) $12=\frac{x+7}{5}$
j) $6=\frac{21+x}{15}$
Question 8
Find the value of $x$
a) $\frac{x-1}{6}=2$
b) $\frac{x-6}{2}=7$
c) $\frac{x-10}{4}=5$
d) $\frac{x-4}{9}=8$
e) $\frac{x-16}{3}=12$
f) $\frac{x-13}{5}=12$
g) $10=\frac{x-6}{9}$
h) $3=\frac{x-32}{2}$
i) $6=\frac{x-12}{3}$
j) $5=\frac{x-5}{5}$
Question 9
Find the value of $x$. Answers may be negative numbers
a) $2x+6=4$
b) $5x-6=-21$
c) $\frac x4+15=7$
d) $-10=\frac x5-6$
e) $-2(x+3)=-6$
f) $18=-3(5+x)$
g) $\frac{x+22}{-4}=-5$
h) $-10=\frac{x-13}{3}$
i) $-42=-7(x+22)$
j) $-13=\frac{44+x}{10}$
Question 10
Find the value of $x$. Where necessary, leave answers as mixed numbers
a) $2x+1=2$
b) $0=4x-1$
c) $\frac x2+4=5\frac13$
d) $4(x+1)=9$
e) $6(x-5)=32$
f) $\frac {x-2}{3}=\frac23$
g) $4x-\frac15=3$
h) $5(x+1\frac12)=-5$
i) $\frac{x-\frac38}{4}=\frac18$
j) $\frac{46}{21}=5\frac23+\frac{x}{3}$
Answers
Question 1
a) $x=3$
b) $x=2$
c) $x=4$
d) $x=5$
e) $x=1$
f) $x=6$
g) $x=3$
h) $x=6$
i) $x=1$
j) $x=6$
Question 2
a) $x=4$
b) $x=5$
c) $x=2$
d) $x=8$
e) $x=3$
f) $x=9$
g) $x=5$
h) $x=1$
i) $x=5$
j) $x=20$
Question 3
a) $x=4$
b) $x=9$
c) $x=10$
d) $x=12$
e) $x=15$
f) $x=7$
g) $x=20$
h) $x=33$
i) $x=14$
j) $x=16$
Question 4
a) $x=6$
b) $x=8$
c) $x=2$
d) $x=8$
e) $x=10$
f) $x=45$
g) $x=24$
h) $x=20$
i) $x=12$
j) $x=35$
Question 5
a) $x=2$
b) $x=5$
c) $x=7$
d) $x=12$
e) $x=0$
f) $x=15$
g) $x=12$
h) $x=3$
i) $x=11$
j) $x=17$
Question 6
a) $x=8$
b) $x=10$
c) $x=15$
d) $x=23$
e) $x=21$
f) $x=30$
g) $x=50$
h) $x=10$
i) $x=16$
j) $x=78$
Question 7
a) $x=10$
b) $x=31$
c) $x=5$
d) $x=29$
e) $x=78$
f) $x=29$
g) $x=39$
h) $x=33$
i) $x=53$
j) $x=69$
Question 8
a) $x=13$
b) $x=20$
c) $x=30$
d) $x=76$
e) $x=52$
f) $x=73$
g) $x=96$
h) $x=38$
i) $x=30$
j) $x=30$
Question 9
a) $x=-1$
b) $x=-3$
c) $x=-32$
d) $x=-20$
e) $x=0$
f) $x=-11$
g) $x=-2$
h) $x=-17$
i) $x=-28$
j) $x=-86$
Question 10
a) $x=\frac12$
b) $x=\frac14$
c) $x=2\frac23$
d) $x=1\frac14$
e) $x=\frac13$
f) $x=4$
g) $x=-\frac45$
h) $x=-2\frac12$
i) $x=\frac78$
j) $x=-4\frac67$
Question 1
Find the value of $x$
a) $2x+1=7$
b) $3x+2=8$
c) $5x+8=28$
d) $10x+4=54$
e) $9x+2=11$
f) $8x+12=60$
g) $7x+15=36$
h) $2+5x=32$
i) $16+3x=19$
j) $76=12x+4$
Question 2
Find the value of $x$
a) $2x-3=5$
b) $3x-6=9$
c) $7x-1=13$
d) $4x-12=20$
e) $9x-10=17$
f) $20-2x=2$
g) $50-3x=35$
h) $10-6x=4$
i) $47=10x-3$
j) $4=44-2x$
Question 3
Find the value of $x$
a) $\frac x2+6=8$
b) $\frac x3+12=15$
c) $\frac x2+3=8$
d) $\frac x6+14=16$
e) $16+\frac x5=19$
f) $22+\frac x7=23$
g) $6=\frac x4+1$
h) $26=\frac x3+15$
i) $27=20+\frac x2$
j) $41=39+\frac x8$
Question 4
Find the value of $x$
a) $\frac x2-1=2$
b) $\frac x2-3=1$
c) $\frac x1-2=0$
d) $\frac x4-1=1$
e) $\frac x5-2=0$
f) $\frac x5-6=3$
g) $1=\frac x6-3$
h) $3=\frac x4-2$
i) $0=\frac x2-6$
j) $4=\frac x7-1$
Question 5
Find the value of $x$
a) $2(x+5)=14$
b) $3(x+3)=24$
c) $5(x+3)=50$
d) $4(x+3)=60$
e) $20(x+4)=80$
f) $3(5+x)=60$
g) $5(2+x)=70$
h) $132=12(x+8)$
i) $78=6(x+2)$
j) $200=10(3+x)$
Question 6
Find the value of $x$
a) $2(x-5)=6$
b) $3(x-4)=18$
c) $5(x-10)=25$
d) $10(x-8)=150$
e) $7(x-12)=63$
f) $13(x-28)=26$
g) $90=3(x-20)$
h) $81=9(x-1)$
i) $75=5(x-1)$
j) $300=5(x-18)$
Question 7
Find the value of $x$
a) $\frac{x+2}{3}=4$
b) $\frac{x+5}{4}=9$
c) $\frac{x+10}{3}=5$
d) $\frac{x+6}{5}=7$
e) $\frac{x+2}{10}=8$
f) $\frac{19+x}{6}=8$
g) $\frac{11+x}{5}=10$
h) $6=\frac{x+3}{6}$
i) $12=\frac{x+7}{5}$
j) $6=\frac{21+x}{15}$
Question 8
Find the value of $x$
a) $\frac{x-1}{6}=2$
b) $\frac{x-6}{2}=7$
c) $\frac{x-10}{4}=5$
d) $\frac{x-4}{9}=8$
e) $\frac{x-16}{3}=12$
f) $\frac{x-13}{5}=12$
g) $10=\frac{x-6}{9}$
h) $3=\frac{x-32}{2}$
i) $6=\frac{x-12}{3}$
j) $5=\frac{x-5}{5}$
Question 9
Find the value of $x$. Answers may be negative numbers
a) $2x+6=4$
b) $5x-6=-21$
c) $\frac x4+15=7$
d) $-10=\frac x5-6$
e) $-2(x+3)=-6$
f) $18=-3(5+x)$
g) $\frac{x+22}{-4}=-5$
h) $-10=\frac{x-13}{3}$
i) $-42=-7(x+22)$
j) $-13=\frac{44+x}{10}$
Question 10
Find the value of $x$. Where necessary, leave answers as mixed numbers
a) $2x+1=2$
b) $0=4x-1$
c) $\frac x2+4=5\frac13$
d) $4(x+1)=9$
e) $6(x-5)=32$
f) $\frac {x-2}{3}=\frac23$
g) $4x-\frac15=3$
h) $5(x+1\frac12)=-5$
i) $\frac{x-\frac38}{4}=\frac18$
j) $\frac{46}{21}=5\frac23+\frac{x}{3}$
Answers
Question 1
a) $x=3$
b) $x=2$
c) $x=4$
d) $x=5$
e) $x=1$
f) $x=6$
g) $x=3$
h) $x=6$
i) $x=1$
j) $x=6$
Question 2
a) $x=4$
b) $x=5$
c) $x=2$
d) $x=8$
e) $x=3$
f) $x=9$
g) $x=5$
h) $x=1$
i) $x=5$
j) $x=20$
Question 3
a) $x=4$
b) $x=9$
c) $x=10$
d) $x=12$
e) $x=15$
f) $x=7$
g) $x=20$
h) $x=33$
i) $x=14$
j) $x=16$
Question 4
a) $x=6$
b) $x=8$
c) $x=2$
d) $x=8$
e) $x=10$
f) $x=45$
g) $x=24$
h) $x=20$
i) $x=12$
j) $x=35$
Question 5
a) $x=2$
b) $x=5$
c) $x=7$
d) $x=12$
e) $x=0$
f) $x=15$
g) $x=12$
h) $x=3$
i) $x=11$
j) $x=17$
Question 6
a) $x=8$
b) $x=10$
c) $x=15$
d) $x=23$
e) $x=21$
f) $x=30$
g) $x=50$
h) $x=10$
i) $x=16$
j) $x=78$
Question 7
a) $x=10$
b) $x=31$
c) $x=5$
d) $x=29$
e) $x=78$
f) $x=29$
g) $x=39$
h) $x=33$
i) $x=53$
j) $x=69$
Question 8
a) $x=13$
b) $x=20$
c) $x=30$
d) $x=76$
e) $x=52$
f) $x=73$
g) $x=96$
h) $x=38$
i) $x=30$
j) $x=30$
Question 9
a) $x=-1$
b) $x=-3$
c) $x=-32$
d) $x=-20$
e) $x=0$
f) $x=-11$
g) $x=-2$
h) $x=-17$
i) $x=-28$
j) $x=-86$
Question 10
a) $x=\frac12$
b) $x=\frac14$
c) $x=2\frac23$
d) $x=1\frac14$
e) $x=\frac13$
f) $x=4$
g) $x=-\frac45$
h) $x=-2\frac12$
i) $x=\frac78$
j) $x=-4\frac67$
Solutions
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