Algebra Review EOY

A person dives into a pool from its edge to swim to the other side. The data can be modeled by a quadratic function. Which function best models the data?

• d(x) = 0.05x² + 0.74x

• d(x) = 0.05x² + 0.74x + 9.17

• d(x) = 0.26x² - 3.11x

• d(x) = 0.26x² - 3.11x + 1

Which expression is equivalent to (5rt - 3rw - 8tw) + (6rt - 4rw + 2tw)?

• 11rt + rw - 10tw

• 11rt - 7rw - 6tw

• 11rt + rw - 6tw

• 11rt - 7rw - 10tw

The solutions to p(x) = 0 are x = -7 and x = 7. Which quadratic function could represent p?

• p(x) = x² - 49

• p(x) = x² + 49

• p(x) = x² - 14

• p(x) = x² + 14

Two points are plotted on the grid. Which equation in slope-intercept form best represents the line that passes through these two points?

• y = -2/3x - 11/3

• y = -11/3x - 2/3

• y = -2/3x - 10/3

• y = -10/3x - 2/3

A construction manager is monitoring the progress of the build of a new house. The scatterplot and table show the number of months since the start of the build and the percentage of the house still left to build. A linear function can be used to model this relationship. Which function best models the data?

• y = -13.5x + 97.8

• y = -13.5x + 7.3

• y = 97.8x - 13.5

• y = 7.3x - 97.8

Given f(x) = x² - 36, which statement is true?

• The only zero, 6, can be found when (x - 6)(x - 6)

• The only zero, 18, can be found when (x - 18)(x - 18)

• The zeros, -6 and 6, can be found when (x + 6)(x - 6)

• The zeros, -18 and 18, can be found when (x + 18)(x - 18)

A function is shown: f(x) = 7 - 4x. What is the value of f(-5)?

• 27

• -13

• -15

• 140

Which expression is a factor of 10x² - 19x + 6?

• 10x - 3

• 10x - 1

• 5x - 3

• 5x - 2

Which equation best represents the line shown on the grid?

• y = 0

• y = -6

• x = 0

• x = -6

The graph of y = -1/(6x) - 4 is shown on the grid. Which ordered pair is in the solution set of y > -1/(6x) - 4?

• (−8, 8)

• (6, −5)

• (4, −6)

• (−2 , −7)