Free Printable Algebra II First Semester Review

1.

Identify the property illustrated here:

\left(5+3\right)+7=5+\left(3+7\right)

a)

Associative Property of Addition

b)

Commutative Property of Addition

c)

Distributive Property

d)

Parentheses Property

2.

Which equations would you write to solve the absolute value equation

\left|2x-3\right|=5

? Check all that apply

a)

$2x=8$

b)

$2x-3=5$

c)

$-2x=8$

d)

$2x-3=-5$

3.

The graph of the absolute value parent function is translated and the translated function has the equation $y=\left|x-3\right|+5$ .

Which graph represents the new function?

a)

b)

c)

d)

4.

The linear function pictured here has:

a)

A positive slope and a positive y-intercept

b)

A positive slope and a negative y-intercept

c)

A negative slope and a positive y-intercept

d)

A negative slope and a negative y-intercept

5.

Write an equation to represent the function in the table

a)

$y=2$

b)

$y=x+2$

c)

$y=-x+2$

d)

$y=x$

6.

Which equations are equivalent? Check all that apply.

a)

$x+2y=5$

b)

$y=-\frac{1}{2}x+\frac{5}{2}$

c)

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

d)

None of the equations are equivalent

7.

Identify the solution to the system:

a)

$\left(0,\ 5\right)$

b)

$\left(-3,\ 4\right)$

c)

$\left(5,\ 0\right)$

d)

No solution

8.

This system of equations has:

a)

1 solution

b)

2 solutions

c)

0 solutions

d)

Infinitely many solutions

9.

What expression could be substituted in place of y in the second equation in order to solve the system?

a)

$2x+6$

b)

$-2x+6$

c)

$2x-6$

d)

$6$

10.

Which quadratic function could have a graph with an axis of symmetry at $x=-2$ ?

a)

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

b)

$y=x^2+4x+4$

c)

$y=x^2-4x+4$

d)

$y=x^2-2$

11.

Which of the following describes a parabola that has a maximum value?

a)

$-\frac{b}{2a}>0$

b)

$0<a<1$

c)

The quadratic is not factorable.

d)

$a<0$

12.

The equation $s=\frac{1}{2}at^2$ represents:

a)

A linear function

b)

An absolute value function

c)

An exponential function

d)

A quadratic function

13.

The vertex of a parabola is always :

a)

On the axis of symmetry

b)

The turning point

c)

The maximum or minimum of the parabola

d)

All of the above

14.

$x+8x+15$

Factor the quadratic trinomial

a)

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

b)

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

c)

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

d)

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

15.

Compared to the graph of the parent function, $y=\left(x+1\right)^2-3$ is translated:

a)

One unit right and three units down

b)

One unit left and three units down

c)

Three units right and one units up

d)

Three units left and one units up

Algebra II First Semester Review

Total questions: 15

Worksheet time: 16mins

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