Algebra EOC Study Guide

Which function can be used to model the data in this table?

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An arithmetic sequence is shown.

7, 11, 15, 19, . . .

What is the recursive formula that was used to create this sequence?

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The first term in an arithmetic sequence is 5. The fourth term in the sequence is -4. The tenth term is -22.

Which function can be used to find the nth term of the arithmetic sequence?

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Which situation could be modeled by a function with a domain of all positive integers?

• the distance a runner has moved during a race as a function of timer since the race started

• the amount of fish required in a fish tank as a function of the number of fish in the tank

• the amount of power required to operate a computer as a function of the length of time the computer is on

• the amount of water required by an animal as a function of the mass of the animal

Which situation could be modeled by a function with a domain that includes positive and negatives real numbers?

• the height of a plant as a function of time since the seed was planted

• the elevation of a hiker as a function of the number of steps taken

• the amount of time required to read a book as a function of the number of words in the book

• the amount of precipitation as a function of the outdoor temperature

Label the x-intercept(s) on the graphed function

Label the y-intercept(s) on the graphed function

• The domain is D: {x| 0 ≤ x ≤ 4.5}. The domain means the store is open for 4.5 hours.

• The domain is D: {x| 0 ≤ x ≤ 9}. The domain means the store is open for 9 hours.

• The domain is D: {x| 0 ≤ x ≤ 18}. The domain means the estimated maximum number of customers is 18.

• The domain is D: {x| 0 ≤ x ≤ 81}. The domain means the estimated maximum number of customers is 81.

Vicky is studying French. She spends 1 hour reviewing each old chapter. She also spends 1.5 hours learning each new chapter. She spends at least 10 hours per week studying French.

Which graph could represent the possible number of old chapters Vicky reviews, x, and the new chapters Vicky learns, y, each week?

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A computer store is placing an order for computers and tablets. Each computer costs $875, and each tablet costs $235. The store can spend at most $10,000 for these computers and tablets. The computer store has a limited amount of space for displaying the new computers and tab lets. Each computer takes up 4 square feet of space, and each tablet takes up 3 square feet of space. The store has only 45 square feet of display space available for the new computers and tablets. The system of inequalities shown can be used to determine possible combination of computers, x, and tablets, y, the store can order.

875x + 235y ≤ 10,000

4x + 3y ≤45

Which combination of computers, x, and tablets, y, can the computer store order?

• (8, 4)

• (10, 2)

• (7, 9)

• (5, 9)