Algebra III - Test #1 Study Guide

Can side lengths 6, 8, and 10 form a right triangle?

• yes
• no

Do the sides 15, 30 and 34 make a right triangle?

• yes
• no

Determine the length of the line between C(-5,6) and D(-2, 1)

• 8.6

• 5.8

_{^{Find the missing side}}

• 48
• 108
• 83.6
• 72

The distance between point R: (7,-2) and Point Q: (-3,5) written correctly is:

If g(x)= 4x - 4 and f(x)= 5x + 4, find (g+f)(x)

• 20x

• 9x + 8

• 9x - 8

• 9x

If g(x) = 2x + 2 and f(x) = 3, find (g*f)(x)

• 5x + 2

• 6x + 2

• 6x + 6

• 5x + 6

Given f(x) = 2 and g(x) = -2x + 1, find (f⋅g)(x).

• 4x + 2

• -4x + 2

• -4x +1

• -2x +1

• 3x - 16

• 3x - 2

• 3x - 26

• 4x - 2

Answer explanation

 $\left(f\circ g\right)\left(x\right)=3\left(x-7\right)+5$  
 $=3x-21+5$  
 $=3x-16$