Solving Quadratic Equations STAAR Released Items

Last updated 9 months ago
35 questions
1

Which expression is equivalent to 7 times the square root of 45?

1

The graph of quadratic function h is shown on the grid.

Which function is best represented by the graph of h?

1

The graph shows the height in feet of an object above the ground t seconds after it was launched from the ground.


Which function is best represented by the graph of this situation?

1

Which statement about f(x) = 4x^2 - 36x + 81 is true?

1

Given f(x) = x^2 - 36, which statement is true?

1

Which statement about f(x) = 2x^2 - 3x - 5 is true?

1

What are the solutions to the equation 5(x + 3)² = 75?

1

Which value of x is the solution to this equation?
5x^2 = 30x - 45

1

What is the positive solution to this equation?
4x^2 + 12x = 135

1

What are the solutions to (x + 7)^2 = 81?

1

The area of a rectangular trampoline is 112 ft2. The length of the trampoline is 6 ft greater than the width of the trampoline. This situation can be represented by the equation w^2 + 6w - 112 = 0.
What is the width of the trampoline in feet?

1

The graph of a quadratic function is shown on the grid.


Which function is best represented by this graph?

1

Which expression is equivalent to √147?

1

Which expression is equivalent to 4\sqrt{147}?

1

The graph of a quadratic function is shown on the grid.


Which function is best represented by this graph?

1

Which expression is equivalent to

1

Which expression is equivalent to

1

Which expression is equivalent to \sqrt{96}?

1

The graph of quadratic function h is shown.

Which function best represents h?

1

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

1

The graph of a quadratic function is shown on the grid.


Which function is best represented by this graph?

1
For quadratic function h, h\left(-\frac{3}{2}\right) = 0 and h(5) = 0. What is a possible equation for h in factored form?
Choose two correct answers.
h(x) = __________ ___________
Other Answer Choices:
(x+5)
(3x-2)
(3x+2)
(2x-3)
(2x+3)
(x-5)
1

Given g(x) = x^2 - 6x - 16, which statement is true?

1

Which statement about g(x) = x^2 - 576 is true?

1

Which statement about k(x) = -x^2 - 2x + 15 is true?

1

Function g is defined by g(x) = 3x^2 - 2x - 5. What are the solutions to g(x) = 0?

1

Function k is defined as k(x) = x^2 + 32x + 248. What are the solutions to k(x) = 0?

1

What is the positive solution to x^2 + 9x - 22 = 0?

1

Which value of x is a solution to this equation?
3x^2 - 30x - 72 = 0

1

What is the solution set for 2x^2 + 15 = -11x?

1

Which value of x is a solution to this equation?
5x^2 - 36x + 36 = 0

1

The total number of seats in an auditorium is modeled by f(x) = 2x^2 - 6x, where x represents the number of rows of seats. How many rows are there in the auditorium if it has a total of 416 seats?

1

What is the positive solution to the equation 0 = \frac{1}{3}x^2 - 3?

1

The sum of the first n consecutive even numbers can be found using S = n^2 + n, where n \geq 2. What is the value of n when the sum is 156?

1

What are the solutions to 2(x-7)^2 = 32?