Free Printable 1st Marking Period Benchmark REVIEW (Algebra II)

1.

Find the vertex of the quadratic function: $y\ =\ \left(x+3\right)^2-1$

a)

(-3, -1)

b)

(3, -1)

c)

(3, 1)

d)

(-3, 1)

2.

Find the vertex of the quadratic function: $y\ =\ -2\left(x-2\right)^2+5$

a)

(2, 5)

b)

(-2, -5)

c)

(-2, 5)

d)

(2, -5)

3.

Find the axis of symmetry (AOS) of the function: $y\ =\ \left(x\ -\ 7\right)^2+2$

a)

x = 2

b)

x = -2

c)

x = 7

d)

x = -7

4.

Find the y - intercept of the quadratic function: $y\ =\ -3x^{2\ }+\ 2x\ -2$

a)

(0, -2)

b)

(0, 2)

c)

(2, 0)

d)

(-2, 0)

5.

Find the x – intercept of the quadratic function:
$y\ =\ \left(x\ -2\right)\left(x\ +\ 3\right)$

a)

(2, 0), (-3, 0)

b)

(-2, 0), (3, 0)

c)

(-2, 0), (-3, 0)

d)

(2, 0), (3, 0)

6.

Find the x – intercept of the quadratic function: $y\ =\ -\left(x+2\right)\left(x+5\right)$

a)

(-2, 0), (-5, 0)

b)

(-2, 0), (5, 0)

c)

(2, 0), (5, 0)

d)

(2, 0), (-5, 0)

7.

Find the axis of symmetry (AOS) of the function: $y\ =\ 2\left(x\ -\ 3\right)\left(x\ +\ 1\right)$

a)

x = 1

b)

x = -1

c)

x = -4

d)

x = -5

8.

Simplify. $\left(6i\right)\ +\ \left(i\right)$

a)

$7i$

b)

$-5i$

c)

$5i$

d)

$3\ +\ 6i$

9.

Simplify. $\left(6\ +\ 8i\right)\ -\ \left(7i\right)$

a)

$6\ +\ i$

b)

$-6\ +\ i$

c)

$15\ -\ 21i$

d)

$6\ +\ 15i$

10.

Simplify. $\left(-6\ -\ 8i\right)+\left(1\ +\ 2i\right)$

a)

$-5\ -\ 6i$

b)

$-13$

c)

$-5\ +\ 10i$

d)

$-3\ -\ 8i$

11.

Simplify. $\left(2\ +\ 7i\right)\ +\ \left(-6\ -\ 6i\right)\ -\ \left(1\ +\ 2i\right)$

a)

$-5\ -\ i$

b)

$-13\ +\ 5i$

c)

$-5\ -\ 3i$

d)

$-10\ +\ 7i$

12.

Simplify. $\left(-4i\right)\left(i\right)$

a)

$4$

b)

$-6i$

c)

$-4$

d)

$-12i$

13.

Simplify. $6\left(-6\ -\ 4i\right)$

a)

$-36\ -\ 24i$

b)

$36\ +\ 24i$

c)

$-48$

d)

$36\ -\ 24i$

14.

Simplify.
$\left(8\ -\ 6i\right)\left(-8-3i\right)$

a)

$-82\ +\ 24i$

b)

$46\ +\ 72i$

c)

$-74\ +\ 27i$

d)

$-30\ -\ 9i$

15.

Solve the quadratic equations by taking the square roots, completing the square, or by using the Quadratic Formula. $4p^2\ +\ \ 8\ \ =\ \ 136$

a)

$4\sqrt{2},\ -4\sqrt{2}$

b)

$4\sqrt{2}$

c)

$32,\ -32$

d)

$6$

16.

Solve the quadratic equations by taking the square roots, completing the square, or by using the Quadratic Formula. $8x^{2\ }+\ 3\ =\ 131$

a)

$4,\ -4$

b)

$\frac{i\sqrt{102}}{3},\frac{\ -i\sqrt{102}}{3}$

c)

$2i\sqrt{2},\ -2i\sqrt{2}$

d)

$\frac{i\sqrt{102}}{3}$

17.

Solve the quadratic equations by taking the square roots, completing the square, or by using the Quadratic Formula. $5m^2\ +\ m\ +\ 11\ \ =\ \ 0$

a)

$\frac{-1+i\sqrt{219}}{10},\ \frac{-1-i\sqrt{219}}{10}$

b)

$\frac{7+3\sqrt{41}}{20},\ \frac{7\ -\ 3\sqrt{41}}{20}$

c)

$\frac{-7\ +\ 3\sqrt{41}}{20},\ \frac{-7\ -\ 3\sqrt{41}}{20}$

d)

$4,\ -1$

18.

Solve the quadratic equations by taking the square roots, completing the square, or by using the Quadratic Formula. $4x^2-x\ -5\ =\ 0$

a)

$\frac{5}{4},\ -1$

b)

$1,\ -\frac{5}{4}$

c)

$\frac{-1+i\sqrt{79}}{8},\ \frac{-1-i\sqrt{79}}{8}$

d)

$\frac{1\ +\ \sqrt{21}}{8},\ \frac{1-\sqrt{21}}{8}$

19.

Name each polynomial by degree and number of terms. $-4n^3+9n^2-\ 4n\ -\ 5$

a)

cubic polynomial with four terms

b)

cubic monomial

c)

linear polynomial with four terms

d)

quartic binomial

20.

Name each polynomial by degree and number of terms. $-8r^6\ -\ r^{5\ }\ +\ \ 1$

a)

sixth degree trinomial

b)

cubic polynomial with six terms

c)

linear binomial

d)

quintic trinomial

21.

Name each polynomial by degree and number of terms. $-2m\ -\ 5$

a)

linear binomial

b)

quadratic monomial

c)

quintic binomial

d)

quartic binomial

22.

Describe the end behavior of each function. $f\left(x\right)\ =\ -x^2\ +\ 6x\ -\ 10$

a)

Falls to the left. Falls to the right

b)

Falls to the left. Rises to the right

c)

Rises to the left. Rises to the right

d)

Rises to the left. Falls to the rifght

23.

Describe the end behavior of each function. $f\left(x\right)\ =\ -x^3\ +\ \ 2x^{2\ }\ +\ \ 2$

a)

Rises to the left. Falls to the right

b)

Falls to the left. Falls to the right

c)

Rises to the left. Rises to the right

d)

Falls to the left. Rises to the right

24.

Describe the end behavior of each function.

a)

Falls to the left. Rises to the right

b)

Falls to the left. Falls to the right

c)

Rises to the left. Rises to the right

d)

Rises to the left. Falls to the right

25.

Sketch the graph of each function. $f\left(x\right)\ =\ \ x^4\ -\ \ 2x^{2\ }\ +\ \ x\ \ -\ \ 1$

a)

b)

c)

d)

1st Marking Period Benchmark REVIEW (Algebra II)

Total questions: 25

Worksheet time: 25mins

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