College Algebra Final

The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.) 2 + 1/3x = 3

x=3 1.1

The given equation involves a power of the variable. Find all real solutions of the equation. x^2 = 8

Negative square root of 8 Square root of 8 Why? Taking the square root of a square makes it all cancel out. 1.1

The given equation involves a power of the variable. Find all real solutions of the equation. x^2 + 25 = 0

No real solution. You can't take the square root of a negative number (-25).

The given equation is either linear or equivalent to a linear equation. Solve the equation. 9(1 − x) = 7(1 + 2x) + 5

x= -3/23 1.1

The given equation is either linear or equivalent to a linear equation. Solve the equation. Z/6 = 3/10Z + 6

Z= -45 1.1

The given equation is either linear or equivalent to a linear equation. Solve the equation. 1/(t+4) = 2/(t-1)

t= -9 1.1

The given equation involves a power of the variable. Find all real solutions of the equation. x^2 = 9

x= -3 x= 3 1.1

The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.) 4x + 9 = 33

x=6 1.1

The given equation is either linear or equivalent to a linear equation. Solve the equation. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.) 1/4y - 7 = 1/3y

y= -84 1.1

The given equation is either linear or equivalent to a linear equation. Solve the equation. 4/5y + 1/4(y-5) = (y+1)/6

y= 85/53 1.1