Sqrt and inverse Pacing Guide

square root functions

69

Determine the value of y, if x is 63

y= sqrt (x-47)

y=4

138

Determine the value of y, if x is 81

y=sqrt(x)-5

y=4

207

Determine the value of y, if x is -43

y=sqrt(x+47)

y=2

Exponential and Radical Form

69

Write expression in radical form

x^3/7

7sqrt(x³)

138

Write expression in exponential form

5sqrt(x³)

x^3/5

207

Write expression in exponential form

2sqrt(x)

x^1/2

Radical Equations

69

sqrt(44-8x)=x-3

x=5

138

sqrt(15-3x)=x-5

x=5

207

sqrt(9x-5)=x+1

x=1, x=6

Exponential rules w/ fractions

69

Evaluate the left hand side to find the value of a in the equation in the simplest form

x²x^2/3=x^a

8/3

138

Evaluate the left hand side to find the value of a in the equation in simplest form.

(x²)^6/5=x^a

12/5

207

Evaluate the left hand side to find the value of a in the equation in the simplest form.

x^1/2x⁶=x^a

13/2

inverse variation

69

If p is inversely proportional to the square of q, and p is 4 when 1 is 5, determine p when q is equal to 2,

p₁(q₁)²=p₂(q₂)²

p₁=25

138

If p and q vary inversely and p is 6 when q is 2, determine q when p is equal to 3.

p₁q₁=p₂q₂

q₁=4

207

If p is inversely proportional to the square of q, and p is 14 when q is 8, determine p when q is equal to 4.

p₁(q₁)²=p₂(q₂)²

p₁=56