Algebra Spring Final Exam Review

Josh earns money by washing cars in his neighborhood. He spent $215 on supplies and charges $15 for each car washed. Josh’s profit, y, can be represented by the function 𝑦 = 15𝑥 −215, where x represents the number of cars that Josh washes.What is the domain of this function?

• All real numbers greater than 0

• All whole numbers greater than 0

• All integers less than 0

• All real numbers

A bookcase can hold no more than t books. You have 8 boxes containing b books in each box. You have already taken 18 books out of the boxes and placed them onto the shelves. What inequality models this situation?

• t ≤ 8b - 18

• t ≥ 8b + 18

• t ≥ 8b - 18

• t ≤ 8b + 18

Which function has a zero at x = –2?

• 3x + 4y = 2

• 8x - 2y = 4

• 3x - 2y = -6

• ½x - y = 1

The function 𝑦 = ⅓𝑥 is a transformation of the parent function, 𝑓 (𝑥) = 𝑥. Which of the following correctly describes the transformation?

• steeper by a factor of 3

• steeper by a factor of ⅓

• less steep by a factor of 3

• less steep by a factor of ⅓

The solution set of which inequality is shown on the graph below

• 4y - 3x < 12

• 4y - 3x < -12

• 4y - 3x > 12

• 4y - 3x > -12

Which graph shows a slope of ⅔?

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What is the slope of the line 15x + 3y = 6

• 15

• 5

• -5

• -1/5

Which of the following shows what happens to the graph of y = ¾x if it becomes y = ¾x - 3?

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Which of the following shows what happens to the graph of y = -3x - 1 if x becomes (x - 2)?

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Which of the following shows the correlation coefficient and explains how closely the line of best fit models the data in the table? Let x be run-up speed and y be jump distance.

• 0.97; the correlation is very strong

• 0.97; The correlation is fairly weak.

• 0.95; The correlation is very weak

• 0.95; The correlation is fairly strong