Algebra I Keystone 2019 PA State Exam

What is the slope of the graph of y = 12x - 19?

• -19

• -12/19

• 19/12

• 12

A golfer hit a golf ball from a tee box that is 6 yards above the ground. The graph shows the height in yards of the golf ball above the ground as a quadratic function of x, the horizontal distance in yards of the golf ball from the tee box.

• 0 ≤ x ≤ 230

• 6 ≤ y ≤ 36

• 0 ≤ y ≤ 36

• 6 ≤ x ≤ 230

Which value of x makes the equation 1.25(4x − 10) = 7.5 true?

• 3.5

• -1

• -0.5

• 4

Which function is equivalent to g( x ) = x² + 15x − 54?

• g(x) = (x + 9)(x − 6)

• g(x) = (x + 18)(x − 3)

• g(x) = (x − 9)(x + 6)

• g(x) = (x − 18)(x + 3)

The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years since the trees were planted.

What is the rate of change of the average height in feet of the trees on the farm with respect to the number of years since the trees were planted?

• 14 ft/yr

• 3 ft/yr

• 7 ft/yr

• 10 ft/yr

What is the equation in slope-intercept form of the line that passes through the points ( -4 , 2) and (12, 6)?

• y = 0.25x + 3

• y = 0.25x − 4.5

• y = 4x + 18

• y = 4x − 42

Which graph best represents -5y = -6x + 15?

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A baker determined the annual profit in dollars from selling pies using p(n) = 52n − 0.05n², where n is the number of pies sold. What is the annual profit if the baker sells 400 pies?

• $20,780

• $12,800

• $28,800

• $20,760

An exponential function is graphed on the grid.

• g(x) = 6(1/3)^x

• g(x) = 6(3)^x

• g(x) = 6 − (1/3)^x

• g(x) = 6 − (3)^x

What is the equation in slope-intercept form of the line that crosses the x-axis at 36 and is perpendicular to the line represented by y = −4/9x + 5?

• y =4/9x + 16

• y =4/9x - 16

• y =9/4x + 81

• y =9/4x - 81