# Tutor profile: Bekah F.

## Questions

### Subject: GRE

What do the different scores mean when applying to graduate programs?

Both the GRE Verbal and Quantitative sections are scored on a scale from 130-170, while the max score on the writing section is a 6.0. Top 10% scores are above 163 on the verbal section, above 165 on the quantitative section, and above 5.0 on the writing section.

### Subject: Psychology

What are Erikson's stages of psychosocial development?

1. Trust vs Mistrust 2. Autonomy vs Shame 3. Initiative vs Guilt 4. Industry vs Inferiority 5. Identity vs Role Confusion 6. Intimacy vs Isolation 7. Generativity vs Stagnation 8. Ego Integrity vs Despair

### Subject: Algebra

Joanie spent $10.48 at the book fair. Erasers were $0.32 and markers were $0.75. If Joanie bought 22 items, how many erasers and markers did she buy?

In order to solve this problem, you should use a system of equations. To do this, you will create two equations: one for the money spent and one for the number of items. $$ x + y = 22 $$ $$ 0.32x + 0.75y = 10.48 $$ You should solve the first equation for x by subtracting y from each side, giving you $$ x = 22 - y $$ You should then plug this equation into the second equation, giving you $$ 0.32(22-y) + 0.75y = 10.48 $$ You can simplify the equation by distributing 0.32 across the parenthesis, giving you $$ 7.04 - 0.32y + 0.75y = 10.48 $$. You can then combine like terms to get $$ 0.43y +7.04 =10.48 $$. In order to get the y term by itself, you should subtract 7.04 from both sides of the equation, resulting in $$ 0.43y = 3.44 $$. To finish solving for y, you need to divide both sides by 0.43, giving you $$ y = 8 $$, meaning that Joanie bought 8 markers. To solve for the number of erasers that Joanie bought, plug 8 in for the y in the first equation $$ x + 8 = 22 $$. To solve for x, subtract 8 from both sides of the equation, giving you $$ x = 14 $$, meaning that Joanie purchased 8 markers and 14 erasers.

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