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LETY'SPRACTISE
Solve each equation.
A. 
25 x-6=-16
(7) 
1.5(z+3)=18
(12) 
m^(2)-22.4=41.6
(3) 
4+3x=-5
(9) 
-6y+6=2y+4
(13) 
12^(2)+r^(2)=15^(2)
(4) 
0.9 k-12=-3
(10) 
8c-7=3c-17
B. 
12 x-8=6
(2) 
(p)/(3)+4=1
(3) 
6x+3=-15
(4) 
-7c-9=19
(5) 
4-8k=-20
(6) 
-2.8=0.5 m-0.8
(7) 
7(2a+1)=35
(8) 
0.2(3r-4)=0.4
(9) 
0.5 a+5=3.5
(10) 
3r-4.5=-7.5
(11) 
4n+3=8n-5
(12) 
-6p+25=4p-5
(13) 
7b^(2)=343
(14) 
d^(2)+5=22+8

LETY'SPRACTISE\newlineSolve each equation.\newlineA. 25x6=16 25 x-6=-16 \newline(77) 1.5(z+3)=18 1.5(z+3)=18 \newline(1212) m222.4=41.6 m^{2}-22.4=41.6 \newline(33) 4+3x=5 4+3 x=-5 \newline(99) 6y+6=2y+4 -6 y+6=2 y+4 \newline(1313) 122+r2=152 12^{2}+r^{2}=15^{2} \newline(44) 0.9k12=3 0.9 k-12=-3 \newline(1010) 8c7=3c17 8 c-7=3 c-17 \newlineB. 12x8=6 12 x-8=6 \newline(22) p3+4=1 \frac{p}{3}+4=1 \newline(33) 1.5(z+3)=18 1.5(z+3)=18 00\newline(44) 1.5(z+3)=18 1.5(z+3)=18 11\newline(55) 1.5(z+3)=18 1.5(z+3)=18 22\newline(66) 1.5(z+3)=18 1.5(z+3)=18 33\newline(77) 1.5(z+3)=18 1.5(z+3)=18 44\newline(88) 1.5(z+3)=18 1.5(z+3)=18 55\newline(99) 1.5(z+3)=18 1.5(z+3)=18 66\newline(1010) 1.5(z+3)=18 1.5(z+3)=18 77\newline(1111) 1.5(z+3)=18 1.5(z+3)=18 88\newline(1212) 1.5(z+3)=18 1.5(z+3)=18 99\newline(1313) m222.4=41.6 m^{2}-22.4=41.6 00\newline(1414) m222.4=41.6 m^{2}-22.4=41.6 11

Full solution

Q. LETY'SPRACTISE\newlineSolve each equation.\newlineA. 25x6=16 25 x-6=-16 \newline(77) 1.5(z+3)=18 1.5(z+3)=18 \newline(1212) m222.4=41.6 m^{2}-22.4=41.6 \newline(33) 4+3x=5 4+3 x=-5 \newline(99) 6y+6=2y+4 -6 y+6=2 y+4 \newline(1313) 122+r2=152 12^{2}+r^{2}=15^{2} \newline(44) 0.9k12=3 0.9 k-12=-3 \newline(1010) 8c7=3c17 8 c-7=3 c-17 \newlineB. 12x8=6 12 x-8=6 \newline(22) p3+4=1 \frac{p}{3}+4=1 \newline(33) 1.5(z+3)=18 1.5(z+3)=18 00\newline(44) 1.5(z+3)=18 1.5(z+3)=18 11\newline(55) 1.5(z+3)=18 1.5(z+3)=18 22\newline(66) 1.5(z+3)=18 1.5(z+3)=18 33\newline(77) 1.5(z+3)=18 1.5(z+3)=18 44\newline(88) 1.5(z+3)=18 1.5(z+3)=18 55\newline(99) 1.5(z+3)=18 1.5(z+3)=18 66\newline(1010) 1.5(z+3)=18 1.5(z+3)=18 77\newline(1111) 1.5(z+3)=18 1.5(z+3)=18 88\newline(1212) 1.5(z+3)=18 1.5(z+3)=18 99\newline(1313) m222.4=41.6 m^{2}-22.4=41.6 00\newline(1414) m222.4=41.6 m^{2}-22.4=41.6 11
  1. Solve Equation 11: A. Solve 25x6=1625x - 6 = -16. Add 66 to both sides to isolate the term with xx. 25x6+6=16+625x - 6 + 6 = -16 + 6 25x=1025x = -10 Now, divide both sides by 2525 to solve for xx. x=10/25x = -10 / 25 x=2/5x = -2 / 5
  2. Solve Equation 22: B. Solve 1.5(z+3)=181.5(z + 3) = 18.\newlineDistribute 1.51.5 to both zz and 33.\newline1.5z+4.5=181.5z + 4.5 = 18\newlineSubtract 4.54.5 from both sides to isolate the term with zz.\newline1.5z+4.54.5=184.51.5z + 4.5 - 4.5 = 18 - 4.5\newline1.5z=13.51.5z = 13.5\newlineNow, divide both sides by 1.51.5 to solve for zz.\newline1.51.511\newline1.51.522
  3. Solve Equation 33: C. Solve m222.4=41.6m^2 - 22.4 = 41.6. Add 22.422.4 to both sides to isolate the m2m^2 term. m222.4+22.4=41.6+22.4m^2 - 22.4 + 22.4 = 41.6 + 22.4 m2=64m^2 = 64 Take the square root of both sides to solve for mm. m=±64m = \pm\sqrt{64} m=±8m = \pm8
  4. Solve Equation 44: D. Solve 4+3x=54 + 3x = -5. Subtract 44 from both sides to isolate the term with xx. 44+3x=544 - 4 + 3x = -5 - 4 3x=93x = -9 Now, divide both sides by 33 to solve for xx. x=9/3x = -9 / 3 x=3x = -3
  5. Solve Equation 55: E. Solve 6y+6=2y+4-6y + 6 = 2y + 4.\newlineAdd 6y6y to both sides to get all yy terms on one side.\newline6y+6+6y=2y+4+6y-6y + 6 + 6y = 2y + 4 + 6y\newline6=8y+46 = 8y + 4\newlineSubtract 44 from both sides to isolate the term with yy.\newline64=8y+446 - 4 = 8y + 4 - 4\newline2=8y2 = 8y\newlineNow, divide both sides by 88 to solve for yy.\newline6y6y11\newline6y6y22
  6. Solve Equation 66: F. Solve 122+r2=15212^2 + r^2 = 15^2.\newlineCalculate 12212^2 and 15215^2.\newline144+r2=225144 + r^2 = 225\newlineSubtract 144144 from both sides to isolate the r2r^2 term.\newline144144+r2=225144144 - 144 + r^2 = 225 - 144\newliner2=81r^2 = 81\newlineTake the square root of both sides to solve for rr.\newliner=±81r = \pm\sqrt{81}\newline12212^200
  7. Solve Equation 77: G. Solve 0.9k12=30.9k - 12 = -3. Add 1212 to both sides to isolate the term with kk. 0.9k12+12=3+120.9k - 12 + 12 = -3 + 12 0.9k=90.9k = 9 Now, divide both sides by 0.90.9 to solve for kk. k=9/0.9k = 9 / 0.9 k=10k = 10
  8. Solve Equation 88: H. Solve 8c7=3c178c - 7 = 3c - 17. Subtract 3c3c from both sides to get all cc terms on one side. 8c3c7=3c3c178c - 3c - 7 = 3c - 3c - 17 5c7=175c - 7 = -17 Add 77 to both sides to isolate the term with cc. 5c7+7=17+75c - 7 + 7 = -17 + 7 5c=105c = -10 Now, divide both sides by 55 to solve for cc. 3c3c11 3c3c22