Solve Equation 1: A. Solve 25x−6=−16. Add 6 to both sides to isolate the term with x. 25x−6+6=−16+625x=−10 Now, divide both sides by 25 to solve for x. x=−10/25x=−2/5
Solve Equation 2: B. Solve 1.5(z+3)=18.Distribute 1.5 to both z and 3.1.5z+4.5=18Subtract 4.5 from both sides to isolate the term with z.1.5z+4.5−4.5=18−4.51.5z=13.5Now, divide both sides by 1.5 to solve for z.1.511.52
Solve Equation 3: C. Solve m2−22.4=41.6. Add 22.4 to both sides to isolate the m2 term. m2−22.4+22.4=41.6+22.4m2=64 Take the square root of both sides to solve for m. m=±64m=±8
Solve Equation 4: D. Solve 4+3x=−5. Subtract 4 from both sides to isolate the term with x. 4−4+3x=−5−43x=−9 Now, divide both sides by 3 to solve for x. x=−9/3x=−3
Solve Equation 5: E. Solve −6y+6=2y+4.Add 6y to both sides to get all y terms on one side.−6y+6+6y=2y+4+6y6=8y+4Subtract 4 from both sides to isolate the term with y.6−4=8y+4−42=8yNow, divide both sides by 8 to solve for y.6y16y2
Solve Equation 6: F. Solve 122+r2=152.Calculate 122 and 152.144+r2=225Subtract 144 from both sides to isolate the r2 term.144−144+r2=225−144r2=81Take the square root of both sides to solve for r.r=±811220
Solve Equation 7: G. Solve 0.9k−12=−3. Add 12 to both sides to isolate the term with k. 0.9k−12+12=−3+120.9k=9 Now, divide both sides by 0.9 to solve for k. k=9/0.9k=10
Solve Equation 8: H. Solve 8c−7=3c−17. Subtract 3c from both sides to get all c terms on one side. 8c−3c−7=3c−3c−175c−7=−17 Add 7 to both sides to isolate the term with c. 5c−7+7=−17+75c=−10 Now, divide both sides by 5 to solve for c. 3c13c2