Free Printable Algebra II Final Review

1.

What is the product of $\left(3x^2+2\right)\left(2x+2\right)$

a)

$6x^2+10x+4$

b)

$6x^3+6x^2+4x+4$

c)

$6x^3+10x^2+4$

d)

$6x^3+10x+4$

2.

Determine the equation of the line passing through the two points: $\left(2,3\right)$ and $\left(-1,-6\right)$

a)

$y=-3x-3$

b)

$y=-3x+3$

c)

$y=3x+3$

d)

$y=3x-3$

3.

Factor completely: $2x^2+13x+15$

a)

$\left(2x-3\right)\left(x+5\right)$

b)

$\left(2x-3\right)\left(x-5\right)$

c)

$\left(2x+3\right)\left(x+5\right)$

d)

$\left(2x+5\right)\left(x+3\right)$

4.

Choose the function that is described by being: An absolute value function shifted vertically up 3 units and shifted horizontally left 2 units.

a)

$f\left(x\right)=\left|x+2\right|+3$

b)

$f\left(x\right)=\left|x+3\right|+2$

c)

$f\left(x\right)=\left|x-2\right|+3$

d)

$f\left(x\right)=\left|x+2\right|-3$

5.

Describe the end behavior of the function: $f\left(x\right)=x^9+6x^7+3x^5+2x^3+x+1$

a)

Left: Down

b)

Left: Up

c)

Right: Down

d)

Right: Up

6.

Solve the system of equations:

a)

$\left(-2,-2,-6\right)$

b)

$\left(-1,1,-6\right)$

c)

$\left(-3,2,6\right)$

d)

$\left(-3,1,6\right)$

7.

Use Synthetic Division to determine: $\left(x^4+x^3-8x^2-2x+12\right)\div\left(x-2\right)$

a)

$x^3+3x^2+2x+8$

b)

$x^3+3x^2-2x-6$

c)

$x^3-3x^2-2x+8$

d)

$x^3-3x+2x+6$

8.

Determine ALL the equations of the line passing through the points: $\left(3,4\right)$ and $\left(0,-5\right)$

a)

$y=3x-5$

b)

$y+8=3\left(x+1\right)$

c)

$y-3x=-5$

d)

$y=3\left(x-1\right)-2$

9.

Simplify the expression: $\frac{5}{2x+1}+\frac{3}{3x+9}$

a)

$\frac{8x+19}{2x^2+7x+3}$

b)

$\frac{7x+16}{2x^2+7x+3}$

c)

$\frac{6x+12}{2x^2+6x+2}$

d)

$\frac{3x+1}{2x^2+2x+1}$

10.

Solve for x: $\left(x+3\right)^{\frac{3}{5}}=8$

a)

$x=57$

b)

$x=1$

c)

$x=512$

d)

$x=29$

11.

Solve the system of equations using substitution:

a)

$\left(2,-1\right)$

b)

$\left(6,-1\right)$

c)

$\left(4,-1\right)$

d)

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

12.

Solve the system of equations using elimination:

a)

$\left(-\frac{3}{2},\frac{4}{3}\right)$

b)

$\left(-\frac{3}{2},\frac{1}{2}\right)$

c)

$\left(-\frac{1}{3},\frac{8}{3}\right)$

d)

$\left(-\frac{1}{3},\frac{4}{3}\right)$

Algebra II Final Review

Total questions: 12

Worksheet time: 3hrs 0mins

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