Free Printable Algebra 1 District Checkpoint 3 Test Review

1.

Which function is equivalent to $f(x) = x^2 + 3x - 28$ ?

a)

f(x) = (x + 7)(x - 4)

b)

f(x) = (x - 7)(x + 4)

c)

f(x) = (x + 14)(x - 2)

d)

f(x) = (x + 2)(x - 14)

2.

Which expression is a factor of $14p^2 - 23p + 8$ ?

a)

$14p - 4$

b)

$p + 8$

c)

$7p + 4$

d)

$2p - 1$

3.

What is the range of the function $g(x) = -x^2 + 30x$ ?

a)

All real numbers that are greater than or equal to 0 and less than or equal to 30

b)

All real numbers that are greater than or equal to 0 and less than or equal to 15

c)

All real numbers that are less than or equal to 225

d)

All real numbers that are greater than or equal to 225

4.

The domain of the function is _____

a)

all real numbers greater than -5 and less than or equal to 1

b)

all real numbers greater than -4 and less than or equal to 2

c)

only negative numbers

d)

excluding zero

5.

A graph of a quadratic function is shown on the grid. Which of the statements about the function is NOT true?

a)

The minimum of the function is located at (1, -4)

b)

The y-intercept of the function is located at (0, -3)

c)

The zeros of the function can be found at (-1, 0) and (3, 0)

d)

The axis of symmetry can be represented by the line y = -4

6.

A ball is thrown and can be modeled by the function $-\frac{1}{16}x^2 + x + 5$ . If the positive x-intercept of the function represents the distance of the thrown ball in feet, how far was it thrown? ______ feet

a)

20 feet

b)

15 feet

c)

25 feet

d)

30 feet

7.

The graph of f(x) = $x^2$ was transformed to create the graph of g(x) = f(x + 2) - 8. Which statement about the transformation is NOT true?

a)

A. The graph of g represents a horizontal shift to the left

b)

B. The graph of g represents a vertical shift downward 8 units

c)

C. The graph of g represents a vertical stretch of 2 units

d)

D. The vertex of g is located at (-2, -8)

8.

The quadratic function f(x) = x^2 is transformed to create h as shown in the graph. What is the equation for h?

a)

$h(x) = f(x+1)^2 + 4$

b)

$h(x) = -f(x-1)^2 + 4$

c)

$h(x) = f(x-1)^2 - 4$

d)

$h(x) = -f(x+1)^2 - 4$

9.

Choose the correct answer from each drop-down menu to make the statement true. The quadratic function that has a vertex at (-1, -9) and passes through the point (1, 19) can be represented in two forms. The vertex form of this function is y = $7(x + 1)^2 - 9$ , y = $28(x - 1)^2 - 9$ , y = $(x + 1)^2 - 9$ , y = $(x - 1)^2 - 9$ and the standard form of this function is y = $x^2 - 2x - 8$ , y = $28x^2 - 56x + 19$ , y = $7x^2 + 14x - 2$ .

a)

$y = (x + 1)^2 - 9$

b)

$y = 7(x + 1)^2 - 9$

c)

y = $28(x - 1)^2 - 9$

d)

$(x - 1)^2 - 9$

e)

$y = x^2 - 2x - 8$

10.

Which expression is equivalent to (5/2 d - 4)(-1/2 d + 10)?

a)

$2d^2 - 40$

b)

4d^2 - 40

c)

$-\frac{5}{4} d^2 + 27d - 40$

d)

$-\frac{5}{4} d^2 + 54d - 40$

11.

The expression 24x² - 60x can be rewritten where the greatest common factor is identified. The rewritten expression would be $(2x - 5)$ .

a)

(2x - 5)

b)

12x(2x - 5)

c)

4x(6x - 15)

d)

6x(4x - 10)

12.

A triangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer. Which expression represents the perimeter of the triangle in units?

a)

$\frac{7}{3}x$

b)

$\frac{79}{9}x$

c)

$\frac{17}{3}x + \frac{28}{9}$

d)

$\frac{17}{3}x + 2$

Algebra 1 District Checkpoint 3 Test Review

Total questions: 12

Worksheet time: 6mins

Similar Resources on Wayground