Free Printable Algebra 2 (Practice Test) M1T1 Part 1

1.

1.- Which equation does the graph represent?

a)

$y=2x+3$

b)

$y=x^2+3x-1$

c)

$y=3\cdot2^x$

d)

None of these

2.

2.- What type of function is $f\left(x\right)=3\cdot2^x$ ?

a)

It is a linear expression

b)

It is a quadratic expression

c)

It is an exponential expression

d)

None of this options

3.

3.- Given the 2 pairs of functions below, determine whether they are equivalent.

Pair A

$f\left(x\right)=x^2+7x+10\ \ \ and\ \ \ g\left(x\right)=\left(x+2\right)\cdot\left(x-3\right)$

Pair B

$h\left(x\right)=9^x\ \ \ \ \ and\ \ \ \ j\left(x\right)=\ 3^{2x}$

a)

Only functions in Pair A are equivalent

b)

Only functions in Pair B are equivalent

c)

Both Pairs of functions (A and B) are equivalent

d)

Neither Pair has equivalent functions

4.

4.- Analyze the function. What are coefficients a, b and c?

$f\left(x\right)=-4x^2+6x-2$

a)

a=4

b=-2

c=-6

b)

a=2

b=-4

c=-6

c)

a=6

b=-4

c=2

d)

a=-4

b=6

c=-2

5.

5.- Analyze the function. What is the Concavity?

$f\left(x\right)=3x^2-4x-6$

a)

Concavity is positive because a>0, so it is Concave UP

b)

Concavity is positive because a>0, so it is Concave DOWN

c)

Concavity is negative because a<0, so it is Concave UP

d)

Concavity is negative because a<0, so it is Concave DOWN

6.

6.- Analyze the function. What is the y-intercept?

$f\left(x\right)=\ 3x^2-4x+6$

a)

(0,2)

b)

(0,4)

c)

(0,6)

d)

(6,0)

7.

7.- Analyze the function. What is the axis of symmetry? $f\left(x\right)=3x^2-6x+2$

a)

x=2

b)

x=-2

c)

x=1

d)

x=-1

8.

8.- Analyze the function. What is the vertex?

$f\left(x\right)=3x^2-6x+4$

a)

(1,-1)

b)

(-1,1)

c)

(-1,-1)

d)

(1,1)

9.

9.- Write a quadratic function given the roots (3,0) and (1,0) and point (4,9)

a)

$f\left(x\right)=3\left(x-1\right)\cdot\left(x+3\right)$

b)

$f\left(x\right)=3\left(x-1\right)^2-4$

c)

$f\left(x\right)=3\left(x-1\right)\cdot\left(x-3\right)$

d)

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

10.

10.- Write a quadratic function given the vertex (-1,1) and point (0,6)

a)

$y=2x+3$

b)

$y=5\left(x-1\right)^2+6$

c)

$y=5\left(x+1\right)^2+1$

d)

$y=3\left(x-1\right)\ \cdot\left(x-6\right)$

11.

What are the coordinates of the vertex of $g\left(x\right)=\left(x-3\right)^2-9$ ?

STRATEGY: Graph and Click

Hint: Do you notice the numbers that you found in the equation?

( (a) , (b) )

Choose from the below words

3

-9

0

-3

9

12.

Match the following picture with the correct term.

a)

1.

Linear Line

b)

2.

Exponential Line

c)

3.

Quadratic Line

13.

If the following equation linear, exponential, or quadratic?

$g\left(x\right)=3x^2+8x$

a)

quadratic

b)

linear

c)

exponential

14.

Match the following

a)

$y=a\cdot x^2+b\cdot x+c$

1.

Quadratic (GENERA form)

b)

$y=a\cdot\left(x-h\right)^2+k$

2.

Quadratic (VERTEX form)

c)

$y=a\cdot\left(x-r_1\right)\cdot\left(x-r_2\right)$

3.

Quadratic (FACTORED form)

d)

$y=a\cdot x+b$

4.

Linear

15.

Find the x-intercept $y=x^2-4x+4$

a)

We have two

$x=2,x=-2$

b)

There is just one in

$x=2$

c)

There is just two

$x = 1, x = 4$

d)

There is just one in

$x=4$

Algebra 2 (Practice Test) M1T1 Part 1

Total questions: 15

Worksheet time: 34mins

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