Free Printable Benchmark Review Question

1.

What type of function is $y=\left(x+2\right)^2-1?$

a)

Cubic

b)

Quadratic

c)

Step

d)

Exponential

2.

What type of function is $f\left(x\right)=5\left(x+3\right)^2+5?$

a)

Absolute Value

b)

Exponential

c)

Quadratic

d)

Step

3.

What type of function is $f\left(x\right)=2\left(x-3\right)^2+1?$

a)

Absolute Value

b)

Quadratic

c)

Step

d)

Exponential

4.

What are the x-intercepts of the function $g\left(x\right)=\left(x-2\right)\left(x+3\right)?$

a)

{2, -3}

b)

{-2, 3}

c)

{2, 3}

d)

{0}

5.

The $x-intercept$ for the graph of y = f(x) is equivalent to the —

a)

solution of the polynomial equation f(x)=0

b)

y-intercept for the graph of y = f(x)

c)

root of the polynomial equation f(y)=0

d)

point (0, x) located on the graph of y = f(x)

6.

Which of the following is a true statement?

a)

The x-intercepts of a graphed line are equivalent to the y-intercepts of a graphed line.

b)

The y-intercepts of a graphed line are equivalent to the solutions to the equation of the same line.

c)

The x-intercepts of a graphed line are equivalent to the solutions to the equation of the same line.

d)

The zeros of a function are equivalent to the y-intercepts of the graph of the same line.

7.

Classify the zero(s) in the given graph.

a)

Real

b)

Complex

c)

Whole

d)

Rational

8.

Look at the function. $f\left(x\right)=x^2-4$ How many real zeros does the function f(x) have?

a)

0

b)

1

c)

2

d)

3

9.

Which function has zeros 1 and -3?

a)

f(x) = x² + 2x - 3

b)

f(x) = x² - 2x - 3

c)

f(x) = x² - 4x + 3

d)

f(x) = x² + 4x + 3

10.

What are the zeros of the function shown in the graph?

a)

-4 and 0

b)

-4 and 1

c)

-4 and -1

d)

0 and 2

11.

A polynomial function is graphed. What are the factors of this polynomial?

a)

(x+4)(x-2)

b)

(x+4)(x+2)

c)

(x-4)(x-2)

d)

(x-4)(x+2)

12.

When completely factored, $3x^3y^4-9xy^2$ is equivalent to:

a)

3xy²(x²y² - 3)

b)

xy²(x²y² - 3)

c)

3xy²(x³y⁴ - 3xy²)

d)

3xy²(1 - 3)

13.

Which is the complete factorization of the following expression? $4x^2-6x$

a)

2x(2x – 3)

b)

2x(4x – 6)

c)

x(2x – 3)

d)

x(4x – 6)

14.

Which expression is equivalent to $12x^2+3x$

a)

3x(4x + 1)

b)

4x(3x – 1)

c)

3(4x^2 + 4x)

d)

x(12x – 3)

15.

Choose a factor of $9x^2+6x-8$

a)

3x + 4

b)

3x + 7

c)

3x + 2

d)

3x - 4

16.

Which is a factor of $3x^2-2x-5$ ?

a)

(3x - 5)

b)

(x - 1)

c)

(3x + 5)

d)

(x - 6)

17.

What is the factored form of $9x^2-64?$

a)

(9x - 64)^2

b)

(3x + 4)(3x - 4)

c)

(3x + 8)(3x - 8)

d)

(3x - 8)^2

18.

Which is the complete factorization of the following expression? $24-4x^2?$

a)

4(x^2 - 24)

b)

4(6 - x^2)

c)

4(x^2 - 6)

d)

4(6 - 4x^2)

19.

When factored completely, $24a^5b^2+8a^3b^5$ equals —

a)

$8a^3b^2\left(3a^2\right)$

b)

$8a^3b^2\left(b^3\right)$

c)

$8a^3b^2\left(3a^2+b^3\right)$

d)

8ab(3a + b)

20.

What is the factored form of $8x^4-32x^3+16x^2-4x?$

a)

$8x^2\left(x^2-4x+2\right)$

b)

$4x^2\left(2x^2-8x+4\right)$

c)

$8x\left(x^3-4x^2+2x-1\right)$

d)

$4x\left(2x^3-8x^2+4x-1\right)$

21.

What are factors of $x^2-25?$

a)

(x - 1)(x + 25)

b)

(x + 5)(x - 5)

c)

(x + 5)^2

d)

(x - 5)^2

22.

What is the factored form of $3x^2+3x-6?$

a)

3(x + 2)(x + 1)

b)

(x + 3)(3x - 1)

c)

3(x + 2)(x - 1)

d)

(3x - 6)(x - 1)

23.

Which is a factored form of $9x^2+24x+16?$

a)

(3x + 4)²

b)

(3x - 4)²

c)

(x + 3)(x + 4)

d)

(3x + 3)(3x + 4)

24.

Which is a factored form of $x^2 - 12x + 36$?

a)

(x - 6)²

b)

(x + 6)(x - 6)

c)

(x - 2)(x + 10)

d)

(x + 6)²

25.

Which expression is the factored form of $20x^2+19x-6?$

a)

(4x + 6)(5x - 1)

b)

(5x + 6)(4x + 1)

c)

(5x + 6)(4x - 1)

d)

(5x - 6)(4x + 1)

Benchmark Review Question_Part 1

Total questions: 25

Worksheet time: 2hrs 5mins

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