Free Printable Algebra 2 Diagnostic

1.

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

What is $f\left(-1\right)$ ?

a)

-16

b)

-10

c)

-6

d)

-4

2.

Simplify the expression:
$7x^{2\ }-6\ +\ 4x\ +7\ -5x^{2\ }+x$

a)

$2x^{2\ }+5x\ +1$

b)

$2x^{2\ }+4x\ +\ 1$

c)

$12x^{2\ }+5x\ +1$

d)

$12x^{2\ \ }+\ 4x\ +1$

3.

Which graph represents the solution to the inequality

x+\ 6\ \le-9?

a)

A

b)

B

c)

C

d)

D

4.

Calculate the slope of the line that passes through the points

(-4, 7) and (1, -7 ) .

a)

$\frac{5}{14}$

b)

\frac{-14}{5}

c)

$-\frac{3}{14}$

d)

$\frac{14}{3}$

5.

What is the equation of the line of the graph?

a)

y\ =\ -\frac{1}{3}x\ +1

b)

$y\ =\ -\frac{1}{3}x\ +\ 3$

c)

$y\ =\ -3x\ +\ 1$

d)

$y\ =\ -3x\ +\ 3$

6.

Which describes the relationship between the two lines?

y\ =\ 2x\ -3\

y=\ \frac{1}{2}x\ +\ 3

a)

The lines are parallel.

b)

The lines are perpendicular.

c)

The lines intersect, but are not perpendicular.

d)

The lines are the same.

7.

$y\ +\ 5\ =\ \frac{1}{3}\left(x-9\right)$

Which equation is the same as the above equation, in slope-intercept form?

a)

$y\ =\ \frac{1}{3}x\ -14$

b)

$y\ =\ \frac{1}{3}x\ -8\$

c)

$y=\ \frac{1}{3}x\ -4$

d)

$y\ =\ \frac{1}{3}x\ +\ 2$

8.

Which equation has a slope of -2/7 and contains the point (5, -6) ?

a)

y\ +6\ =\ -\frac{2}{7}\left(x-5\right)

b)

$y-6\ =\ -\frac{2}{7}\left(x+5\right)$

c)

$y+5=-\frac{2}{7}\left(x-6\right)$

d)

$y-5=-\frac{2}{7}\left(x+6\right)$

9.

$z^{t\ }\cdot\ z^5\ =\ z^{15}$ What is the value of t in this equation?

a)

3

b)

10

c)

20

d)

75

10.

$3^0\left(3^{-2}\right)$ Evaluate the expression

a)

$-9$

b)

$0$

c)

$\frac{1}{9}$

d)

$\frac{1}{81}$

11.

What is the square root of 45 in simplest radical form?

a)

$9\sqrt{5}$

b)

$5\sqrt{9}$

c)

$5\sqrt{3}$

d)

$3\sqrt{5}$

12.

Expand the expression $\left(5x-6\right)^2$

a)

$25x^2+36$

b)

$25x^2-36$

c)

$25x^2-60x-36$

d)

$25x^2-60x+36$

13.

Which equation has roots of –3 and 5?

a)

$\left(x-3\right)\left(x+5\right)=0$

b)

$\left(x+3\right)\left(x-5\right)=0$

c)

$\left(x-3\right)\left(x-5\right)=0$

d)

$\left(x+3\right)\left(x+5\right)=0$

14.

Solve for x:
6(2x + 1) = 18

a)

3

b)

17/12

c)

1

d)

2

15.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

a)

19

b)

23

c)

-10

d)

None of these.

16.

g\left(x\right)=3x+4

and

h\left(x\right)=3x-1

Find

g\left(h\left(x\right)\right)

a)

-9x+11

b)

4x²+4x

c)

9x+1

d)

9x+11

17.

Solve the inequality for x: $5-3x<20$

a)

$x>-\frac{25}{3}$

b)

$x>-5$

c)

$x<-\frac{25}{3}$

d)

$x<-5$

18.

Which of the following is the graph of $y=-x^2-6x+3$

a)

b)

c)

d)

19.

Solve the equation:
7x - 4 = 3 + 8x

a)

x = 7

b)

x = -7

c)

x = 2/7

d)

x = 11

20.

What is the solution set of

\left|3x-2\right|=7\ ?

a)

$3$

b)

$-3,\ 3$

c)

$-\frac{5}{3},3$

d)

$-\frac{5}{3}$

21.

What is the measure of angle "x"?

a)

35 degrees

b)

155 degrees

c)

15 degrees

d)

25 degrees

22.

What is the correct ratio for $\tan A$ ?

a)

20/12

b)

12/20

c)

12/16

d)

16/12

23.

What is the correct equation to solve for x?

a)

tan (45) = x/13

b)

tan (45) = 13/x

c)

sin (45) = 13/x

d)

sin (45) = x/13

Algebra 2 Diagnostic

Total questions: 23

Worksheet time: 46mins

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