Solving Quadratic Equations STAAR Released Items

Posljednje ažuriranje about 1 year ago

Solving Quadratic Equations STAAR Released Items

Posljednje ažuriranje about 1 year ago

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

12 times square root of 3

35 times square root of 3

10 times square root of 5

21 times square root of 5

The graph of quadratic function h is shown on the grid.
Which function is best represented by the graph of h?

h(x) = -x^2 + 8x - 15

h(x) = x^2 - 8x + 15

h(x) = -x^2 - 8x - 15

h(x) = x^2 + 8x + 15

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?

h(t) = -16t^2 - 64t

h(t) = -16t^2 - 128t - 256

h(t) = -16t^2 + 64t

h(t) = -16t^2 + 128t - 256

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

The zeros are +/-\frac{9}{2} because f(x) = (2x - 9)(2x + 9).

The zeros are -\frac{3}{2} and \frac{27}{2} because f(x) = (2x + 3)(2x + 27).

The zeros are \frac{3}{4} and -27 because f(x) = (4x - 3)(x - 27).

The only zero is \frac{9}{2} because f(x) = (2x - 9)^2.

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

The zeros, -6 and 6, can be found when 0 = (x + 6)(x - 6).

The only zero, 6, can be found when 0 = (x - 6)(x - 6).

The zeros, -18 and 18, can be found when 0 = (x + 18)(x - 18).

The only zero, 18, can be found when 0 = (x - 18)(x - 18).

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

The zeros are -5/2 and 1, because f(x) = (x - 1)(2x + 5).

The zeros are -5/2 and -1, because f(x) = (x + 1)(2x + 5).

The zeros are -1 and 5/2, because f(x) = (x + 1)(2x - 5).

The zeros are 1 and 5/2, because f(x) = (x - 1)(2x - 5).

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

-3 \pm \sqrt{15}

- \frac{3}{5} \pm \sqrt{3}

- \frac{3}{5} \pm \sqrt{15}

-3 \pm \sqrt{3}

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

x=-3

x=3

x=5

x=-5

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

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

-74 and 88

-88 and 74

-16 and 2

-2 and 16

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?

14 ft

7 ft

16 ft

8 ft

The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?

f(x) = x^2 + 3x - 4

f(x) = -x^2 - 3x + 4

f(x) = x^2 - 3x - 4

f(x) = -x^2 + 3x + 4

Which expression is equivalent to √147?

21√7

3√7

49√3

7√3

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

3\sqrt{7}

28\sqrt{3}

12\sqrt{7}

196\sqrt{3}

The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?

f(x) = -\frac{1}{2}x^2 + 16

f(x) = -x^2 + 16

f(x) = -\frac{1}{2}x^2 + 8

f(x) = -x^2 + 8

Which expression is equivalent to

Which expression is equivalent to \sqrt{96}?

4\sqrt{6}

8\sqrt{6}

The graph of quadratic function h is shown.
Which function best represents h?

h(x) = x^2 + 4x + 3

h(x) = x^2 - 2x - 3

h(x) = x^2 - 4x + 3

h(x) = x^2 + 2x - 3

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

p(x) = x^2 - 49

p(x) = x^2 + 49

p(x) = x^2 + 14

p(x) = x^2 - 14

The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?

h(x) = x² - 3x - 9

h(x) = x² + 3x - 9

h(x) = x² - 6x

h(x) = x² + 6x

Drugi mogući odgovor:

(x+5)

(3x-2)

(3x+2)

(2x-3)

(2x+3)

(x-5)

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

The zeros are -8 and -2, because the factors of g are (x + 8) and (x + 2).

The zeros are -2 and 8, because the factors of g are (x + 2) and (x - 8).

The zeros are 2 and 8, because the factors of g are (x - 2) and (x - 8).

The zeros are -8 and 2, because the factors of g are (x + 8) and (x - 2).

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

The only zero, 288, can be found when 0 = (x - 288)^2.

The zeros, -24 and 24, can be found when 0 = (x + 24)(x - 24).

The only zero, 24, can be found when 0 = (x - 24)^2.

The zeros, -288 and 288, can be found when 0 = (x + 288)(x - 288).

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

The zeros are -3 and 5, because k(x) = -(x + 3)(x - 5).

The zeros are -5 and -3, because k(x) = -(x + 5)(x + 3).

The zeros are 3 and 5, because k(x) = -(x - 3)(x - 5).

The zeros are -5 and 3, because k(x) = -(x + 5)(x - 3).

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

x = -1 and x = 5/3

x = 1 and x = -5/3

x = 1 and x = -3/5

x = -1 and x = 3/5

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

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

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

x = -6

x = -2

x = -4

x = -12

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

{-5, -1.5}

{-3, -2.5}

{1.5, 5}

{-2.5, 3}

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

x = -1.8

x = 1.2

x = 4

x = -6

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?

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

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?

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

x = -1 and x = 15

x = 7 \pm \sqrt{32}

x = 3 and x = 11

x = \pm\sqrt{65}

Solving Quadratic Equations STAAR Released Items

Solving Quadratic Equations STAAR Released Items

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

The graph of quadratic function h is shown on the grid.Which function is best represented by the graph of h?

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?

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

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

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

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

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

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

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

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?

The graph of a quadratic function is shown on the grid.Which function is best represented by this graph?

Which expression is equivalent to √147?

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

The graph of a quadratic function is shown on the grid.Which function is best represented by this graph?

Which expression is equivalent to

Which expression is equivalent to

Which expression is equivalent to \sqrt{96}?

The graph of quadratic function h is shown.Which function best represents h?

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

The graph of a quadratic function is shown on the grid.Which function is best represented by this graph?

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

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

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

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

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

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

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

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

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

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?

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

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?

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

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

The graph of quadratic function h is shown on the grid.Which function is best represented by the graph of h?

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?

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

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

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

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

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

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

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

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?

The graph of a quadratic function is shown on the grid.Which function is best represented by this graph?

Which expression is equivalent to √147?

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

The graph of a quadratic function is shown on the grid.Which function is best represented by this graph?

Which expression is equivalent to

Which expression is equivalent to

Which expression is equivalent to \sqrt{96}?

The graph of quadratic function h is shown.Which function best represents h?

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

The graph of a quadratic function is shown on the grid.Which function is best represented by this graph?

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

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

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

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

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

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

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

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

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

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?

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

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?

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

The graph of quadratic function h is shown on the grid.
Which function is best represented by the graph of h?

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?

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

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

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?

The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?

The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?

The graph of quadratic function h is shown.
Which function best represents h?

The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?

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

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

The graph of quadratic function h is shown on the grid.
Which function is best represented by the graph of h?

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?

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

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

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?

The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?

The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?

The graph of quadratic function h is shown.
Which function best represents h?

The graph of a quadratic function is shown on the grid.
Which function is best represented by this graph?

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

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