Algebra 12.2/12.3 Review

#1) Simplify. a) b)

#2) Add and Subtract: Simplify each term first.

#3) Multiply a) b)

#4) Multiply.

#5) Multiply. It’s a DTS!

#6) Simplify. a) 3 b) 1

#7) Simplify. conjugate Multiply by 1in the form of conjugate 5 1 11

#8) Solve √x + 16 = 1 -16 -16 √x = -15 ( )2 ( )2 x = 225 No solution! -16 -16 √x = -15 ( )2 ( )2 x = 225 Check it!! No solution!

#9) Solve √3x + 2 + 2 = 3 -2 -2 √3x + 2 = 1 ( )2 ( )2 3x + 2 = 1 -2 -2 -2 -2 √3x + 2 = 1 ( )2 ( )2 3x + 2 = 1 -2 -2 3x = -1 x = -1/3 Check it!!

#10) Solve ( )2 ( )2 √2x + 3 = x 2x + 3 = x2 -2x – 3 -2x – 3 ( )2 ( )2 2x + 3 = x2 -2x – 3 -2x – 3 0 = x2 – 2x – 3 0 = (x – 3)(x + 1) x = 3, -1 Check them!! x = 3 -1 does not check!

#11) Find the geometric mean. The geometric mean of m and 3 is 15. Find the value of m. Geometric Mean = √3m ( )2 ( )2 15 = √3m 225 = 3m 3 3 75 = m

#12) Simplify. a) b) c)

#13) Multiply. It’s a PST! #14) Multiply.

HW