1. What is the simplified form of the expression 3[14 ÷ (4^2-3^2)-5?
2. Which ordered pair is the solution of the equation y=5x+3?
a. (3,18)
b. (3,0)
3. Solve the equation for m: 3m-4=26
4. Solve the equation for p:-18=p2
5. Solve the equation for y: 4(2y-6)+3=11
1. The simplified form of the expression 3[14 ÷ (4^2-3^2)-5] is 3[14 ÷ (16-9)-5] = 3[14 ÷ (7)-5] = 3[2-5] = 3[-3] = -9.
2. The ordered pair (3,0) is the solution of the equation y=5x+3.
3. To solve the equation 3m-4=26, we can start by isolating the variable m by adding 4 to both sides: 3m-4+4=26+4, which simplifies to 3m=30. Then, we divide both sides by 3 to solve for m: (3m)/3=30/3, which simplifies to m=10. So, the solution to the equation is m=10.
4. To solve the equation -18=p^2, we can start by isolating the variable p by taking the square root of both sides (considering both the positive and negative square roots): √(-18)=±√(p^2). This simplifies to √(-18)=±p. Since the square root of a negative number is not a real number, there are no real solutions for this equation.
5. To solve the equation 4(2y-6)+3=11, we can start by distributing the 4 to the terms inside the parentheses: 8y-24+3=11. This simplifies to 8y-21=11. Next, we isolate the variable y by adding 21 to both sides: 8y-21+21=11+21, which simplifies to 8y=32. Finally, we divide both sides by 8 to solve for y: (8y)/8=32/8, which simplifies to y=4. So, the solution to the equation is y=4.