Free Printable Algebra 2 Semester 1 Quiz

1.

What is the vertex of the graph of

y=-4\left(x-1\right)\left(x+5\right)

a)

$\left(-2,\ 36\right)$

b)

$\left(1,\ -5\right)$

c)

$\left(-1,\ 5\right)$

d)

$\left(2,\ -36\right)$

e)

$\left(2,\ -28\right)$

2.

What is the correct factorization of

x^2-7x+10

a)

$\left(x+1\right)\left(x-10\right)$

b)

$\left(x+1\right)\left(x+10\right)$

c)

$\left(x+2\right)\left(x-5\right)$

d)

$\left(x-2\right)\left(x-5\right)$

e)

$\left(x-2\right)\left(x+5\right)$

3.

What is the simplified version of

\sqrt{12}\cdot\sqrt{18}

a)

$\sqrt{216}$

b)

$2\sqrt{54}$

c)

$6\sqrt{6}$

d)

$3\sqrt{36}$

e)

$3\sqrt{24}$

4.

Which inequality is a solution of

3\left(x-2\right)\ge x+10

a)

$x\le8$

b)

$x\ge6$

c)

$x\ge-8$

d)

$x\ge8$

e)

$x\le6$

5.

What number is the solution of the equation

-\frac{1}{2}x+3=2\left(2x-3\right)

a)

$-4$

b)

$2$

c)

$\frac{1}{2}$

d)

$-2$

e)

$4$

6.

What is the correct factorization of

3x^2-x-4

a)

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

b)

$\left(3x+4\right)\left(x+1\right)$

c)

$\left(3x-4\right)\left(x-1\right)$

d)

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

e)

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

7.

Solve the following equation for $y$

5x-2y=-3

a)

$y=-5x-3$

b)

$y=-\frac{5}{2}x-3$

c)

$y=-\frac{5}{2}x+\frac{3}{2}$

d)

$y=\frac{5}{2}x-\frac{3}{2}$

e)

$y=\frac{5}{2}x+\frac{3}{2}$

8.

What are the solutions of
$2x^2-3\ =\ 13$

a)

$\pm\sqrt{2}$

b)

$2\sqrt{2}$

c)

$-\sqrt{2}$

d)

$\pm2$

e)

$\pm2\sqrt{2}$

9.

Which number is a solution of the equation
$\left|5x+2\right|=12$

a)

$-2$

b)

$-\frac{14}{5}$

c)

$\frac{14}{5}$

d)

$-\frac{2}{5}$

e)

$\frac{2}{5}$

10.

What are the solutions of
$x^2-3x+9=0$

a)

$x=\frac{3+3i\sqrt{3}}{2},\ x=\frac{3-3i\sqrt{3}}{2}$

b)

$x=-3+3i\sqrt{3},\ x=-3-3i\sqrt{3}$

c)

$x=1+\sqrt{3},\ x=1-\sqrt{3}$

d)

$x=\frac{-3+i\sqrt{3}}{2},\ x=\frac{-3-i\sqrt{3}}{2}$

e)

$x=\frac{3+i\sqrt{3}}{2},\ x=\frac{3-i\sqrt{3}}{2}$

Algebra 2 Semester 1 Quiz

Total questions: 10

Worksheet time: 3hrs 30mins

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