# Tutor profile: Marthe D.

## Questions

### Subject: Pre-Calculus

F(x) = 3x-8 what is F(2)?

F(2) = 3(2) -8 = -2

### Subject: Geometry

Segment AD is bisected with midpoint B. Segment AB = 4x - 8 and segment BD = 2x+6. Find the length of each segment.

According to midpoint postulate theorem segment AB = segment BD 4x-8 = 2x +6 subtract 2x on both sides 2x - 8 = 6 add 8 on both sides x = 14 divide 2 on both sides x = 7 segment AB = 4(7) - 8 = 20 segment BD = 2(7) + 6 = 20

### Subject: Algebra

A band is selling tickets for an upcoming concert. Adult tickets cost $8 and children tickets cost $5. The band sold 500 tickets total and made a profit of $1800. How many adult tickets they sold.

x=number of adult tickets y=number of children tickets x+ y= 500 8x + 5y = 1800 Since it is a system of equation, we will use the substitution method. solve x from equation #1 so, x = 500 - y. Substitute that equation into the second one. 8(500 - y) + 5y = 1800. 8(500 - y) + 5y = 1800 4000 - 8y + 5y = 1800 -3y = -2200 y = 733 x = 1800 - 733 = 1067

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