2022 Released Algebra 1 STAAR (Questions 19-27)

19. The graph of a line is shown on the grid. The coordinates of both

points indicated on the graph of the line are integers.

What is the rate of change of y with respect to x for this line?

20. What is the value of the y-intercept of the graph of h(x) = 12.3(4.9)^x?

• A. 4 × 10¹²

• B. 4 × 10⁶

• C. 4 × 10^-3

• D. 4 × 10^-6

22. A person dives into a pool from its edge to swim to the other side.

The table shows the depth in feet of the person from the surface

of the water after x seconds. The data can be modeled by a

quadratic function.

Which function best models the data?

• F. d(x) = 0.05x² + 0.74x

• G. d(x) = 0.05x² + 0.74x + 9.17

• H. d(x) = 0.26x² − 3.11x

• I. d(x) = 0.26x² − 3.11x + 1

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

• A. 11rt + rw − 10tw

• B. 11rt − 7rw − 6tw

• C. 11rt + rw − 6tw

• D. 11rt − 7rw − 10tw

24. The solutions to p(x) = 0 are x = −7 and x = 7. Which quadratic

function could represent p?

• F. p(x) = x² − 49

• G. p(x) = x² + 49

• H. p(x) = x² − 14

• I. p(x) = x² + 14

25. Two points are plotted on the grid.

Which equation in slope-intercept form best represents the line that

passes through these two points?

26. The table shows the value in dollars of a motorcycle at the end

of x years.

Which exponential function models this situation?

• F. v(x) = 9,000(1.1)^x

• G. v(x) = 9,000(0.9)^x

• H. v(x) = 8,100(1.1)^x

• I. v(x) = 8,100(0.9)^x

27. What is the positive solution to x² + 9x − 22 = 0?