A25SQC1 Review

Transformations

200

Given f(x) = sqrt(x). Write equation for g(x) when f(x) is translated right 2 units and vertically compressed by a factor of 1/3.

g(x) = 1/3 sqrt(x - 2)

300

Given f(x) = |x|, write the equation, g(x), for a reflection across the y-axis and shift down 2 units.

g(x) = |-x| - 2

Square Root Equations

200

Solve.  sqrt(6x - 2) = -4

no solution

A given square root cannot equal a negative number.

300

Solve. sqrt(8m - 7) = m

m = 1 or m = 7

500

Solve sqrt(x - 5) = x + 5.

possibilities -4 and -5 but neither checks

no solution

Cube Root Equations

200

Solve. curt(5x + 3) = 4

x = 12.2 or 61/5

300

Solve. curt(4x) - 8 = -4

x = 4

Square Root Applications

200

Given: s = (-h + sqrt(2h))/a.  If s = 5 and h = 8, find the value of a.

a = -4/5 or -0.8

300

Given: r = sqrt(V/(pi*h)). If V = 512*pi and h = 16, find the value of r.

r = 4

Rational Exponent Equations

200

Solve.  (x - 3)^3/2 = 27

x = 9

300

Solve.   5t^3/5 = 40

t = 32