Question

two step equation crossword puzzle
across

1. 2y - 10 = 22
2. 2g - 3 = 35
3. 1 + 3z = 40
4. 7h + 2 = 65
5. 2v - 7 = 29
6. 2r - 6 = 22
7. 3g + 7 = 31
8. 3f - 7 = 38

down

1. 2m - 3 = 9
2. 4 + 3p = 25
3. 5k + 6 = 21
4. 2w - 8 = 26
5. 9 + 7d = 16
6. 4j - 8 = 32
7. 8k - 5 = 11
8. 4m - 23 = 57
9. 5b - 12 = 43
10. 7f + 6 = 34
11. 4 + 5m = 64
12. 9w - 8 = 37

Explanation:

Step1: Solve equation 1 (Down)

Add 3 to both sides of $2m - 3=9$: $2m=9 + 3=12$. Then divide both sides by 2, $m = \frac{12}{2}=6$.

Step2: Solve equation 2 (Down)

Subtract 4 from both sides of $4 + 3p=25$: $3p=25 - 4 = 21$. Then divide both sides by 3, $p=\frac{21}{3}=7$.

Step3: Solve equation 3 (Down)

Subtract 6 from both sides of $5k + 6=21$: $5k=21 - 6=15$. Then divide both sides by 5, $k=\frac{15}{5}=3$.

Step4: Solve equation 4 (Down)

Add 8 to both sides of $2w - 8=26$: $2w=26 + 8=34$. Then divide both sides by 2, $w=\frac{34}{2}=17$.

Step5: Solve equation 5 (Down)

Subtract 9 from both sides of $9 + 7d=16$: $7d=16 - 9 = 7$. Then divide both sides by 7, $d=\frac{7}{7}=1$.

Step6: Solve equation 6 (Down)

Add 8 to both sides of $4j - 8=32$: $4j=32 + 8=40$. Then divide both sides by 4, $j=\frac{40}{4}=10$.

Step7: Solve equation 7 (Down)

Add 5 to both sides of $8k - 5=11$: $8k=11 + 5=16$. Then divide both sides by 8, $k=\frac{16}{8}=2$.

Step8: Solve equation 8 (Down)

Add 23 to both sides of $4m - 23=57$: $4m=57+23 = 80$. Then divide both sides by 4, $m=\frac{80}{4}=20$.

Step9: Solve equation 9 (Down)

Add 12 to both sides of $5b - 12=43$: $5b=43 + 12=55$. Then divide both sides by 5, $b=\frac{55}{5}=11$.

Step10: Solve equation 10 (Down)

Subtract 6 from both sides of $7f + 6=34$: $7f=34 - 6=28$. Then divide both sides by 7, $f=\frac{28}{7}=4$.

Step11: Solve equation 11 (Down)

Subtract 4 from both sides of $4 + 5m=64$: $5m=64 - 4=60$. Then divide both sides by 5, $m=\frac{60}{5}=12$.

Step12: Solve equation 12 (Down)

Add 8 to both sides of $9w - 8=37$: $9w=37 + 8=45$. Then divide both sides by 9, $w=\frac{45}{9}=5$.

Step13: Solve equation 1 (Across)

Add 10 to both sides of $2y - 10=22$: $2y=22 + 10=32$. Then divide both sides by 2, $y=\frac{32}{2}=16$.

Step14: Solve equation 2 (Across)

Add 3 to both sides of $2g - 3=35$: $2g=35 + 3=38$. Then divide both sides by 2, $g=\frac{38}{2}=19$.

Step15: Solve equation 3 (Across)

Subtract 1 from both sides of $1+3z = 40$: $3z=40 - 1=39$. Then divide both sides by 3, $z=\frac{39}{3}=13$.

Step16: Solve equation 4 (Across)

Subtract 2 from both sides of $7h + 2=65$: $7h=65 - 2=63$. Then divide both sides by 7, $h=\frac{63}{7}=9$.

Step17: Solve equation 5 (Across)

Add 7 to both sides of $2v - 7=29$: $2v=29 + 7=36$. Then divide both sides by 2, $v=\frac{36}{2}=18$.

Step18: Solve equation 6 (Across)

Add 6 to both sides of $2r - 6=22$: $2r=22 + 6=28$. Then divide both sides by 2, $r=\frac{28}{2}=14$.

Step19: Solve equation 7 (Across)

Subtract 7 from both sides of $3g + 7=31$: $3g=31 - 7=24$. Then divide both sides by 3, $g=\frac{24}{3}=8$.

Step20: Solve equation 8 (Across)

Add 7 to both sides of $3f - 7=38$: $3f=38 + 7=45$. Then divide both sides by 3, $f=\frac{45}{3}=15$.

Answer:

Fill the crossword with the solutions of the above - solved two - step equations. For example, for $1$ (Down), fill the corresponding vertical cells with the digits of the value of $m$ (6), for $5$ (Across), fill the corresponding horizontal cells with the digits of the value of $y$ (16) and so on.