Free Printable Algebra 2 Semester 1 Final 2020

1.

What is the slope of the line passing through the points (3,-5) and (-1,-13)?

(a)

2.

Choose all the ordered pair that is a solution to the equation that is represented by the graph.

a)

(0,-3)

b)

(2,0)

c)

(2,2)

d)

(-3,0)

e)

(0,2)

3.

Give the equation for the graph

a)

y = 1/2x + 4

b)

y = -2x + 2

c)

y =-2x + 5

d)

y = - 2x + 4

e)

y = -1/2x +4

4.

What is the equation of the line in the graph?

(a)

5.

Which of the following equations match the given graph?

a)

y ≥ -x -5

b)

y ≤ 3/5x - 5

c)

y > -x - 5

d)

y < -5x -5

e)

y < y ≤ 3/5x - 5

6.

What is the solution to the system of linear equations graphed below?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution: (0 , 4)

d)

One Solution: (0, -6)

e)

One Solution: (4, -6)

7.

What is the solution to the system of linear equations graphed below?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution: (0, 2)

d)

One Solution: (2, 6)

e)

One Solutions (-2,2)

8.

What is the solution to the system of linear equations graphed below?

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution: (3, 1)

d)

One Solution: (1, 3)

e)

One Solution: (4, -2)

9.

Which equations create this system of inequalities?

a)

$y\le\frac{2}{3}x+3$

b)

$y\ge\frac{3}{2}x+3$

c)

$y>-\frac{4}{5}x-1$

d)

$y<-x-1$

e)

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

10.

Which coordinate points represents a solution to the System of Inequalities?

a)

(0, -2)

b)

(1, 3)

c)

(0, -3)

d)

(-2, -2)

e)

(-4, -4)

11.

Solve the equation for n

(a)

12.

Solve the following equation for x:

10x + 2x + 5 = 8x + 4x + 7

a)

no solution

b)

infinite solutions

c)

x = 12

d)

x = 0

e)

x = 2

13.

Select ALL the values of x that make the following inequality true.

-3(x+1)>15

a)

0

b)

-5

c)

-6

d)

-6.5

e)

-12

14.

|−4 + 5x| = 16

a)

-5

b)

4

c)

-12/5

d)

-4

e)

16/5

15.

|v + 8|+5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

e)

{-11, -5}

16.

| 2n + 2 | + 3 < 7

a)

No Solution

b)

All Real Numbers

c)

n ≤ -1 or n ≥ 3

d)

-1 < n < 3

e)

1 < n < -3

17.

| n + 2 | - 3 ≥ 6

a)

No Solution

b)

All Real Numbers

c)

n ≤ -11 or n ≥ 7

d)

-11 ≤ n ≤ 7

e)

-7 ≤ n ≤ 11

18.

Solve the system of equations. Write your answer as a coordinate (x,y)

y = 4x+1

3x + 2y = 13

(a)

19.

Solve the system of equations; Write your answer as a coordinate (x,y):

-x + y = -13

-8x - 4y = -8

(a)

20.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25.

Which equations could be used to determine the cost of the coffee and doughnuts?

a)

10c + 5d = 14.25

b)

10c + 5d = 16.50

c)

c + d = 10

d)

5c + 10d = 14.25

e)

5c + 10d = 16.50

21.

Solve the system of equations.

a)

(-6, 1)

b)

(-12, -12)

c)

(1, -6)

d)

No solution

e)

Infinite solutions

22.

Solve the system.

a)

(3, -2, 4)

b)

(2, -3, 1)

c)

(-3, 2, -1)

d)

Infinitely many solutions

e)

no solutions

23.

Which of the following pictures of 3 variable systems would show a systems that had exactly one solution?

a)

b)

c)

d)

e)

24.

Which of the following are function?

a)

b)

{ ( -2 , 0 ) , ( 0 , 1 ) , ( 0 , 3 ) , ( 5 , 3 ) }

c)

d)

e)

{ ( -2 , 1 ) , ( -1 , 1 ) , (0, 3 ) , ( 1 , 3 ) }

25.

Which graphs represent y as a function of x; check ALL that apply?

a)

b)

c)

d)

e)

26.

What is the range of the function shown?

a)

{-7, -2, 0, 5}

b)

{-9, -4, -1}

c)

{-9, -7, -4, -2, -1, 0, 5}

d)

{-1}

e)

no solution

27.

If the function $f\left(x\right)=x^2-2$ has a domain of $\left\{1,2,3,4,5\right\}$ what is the range?

a)

$\left\{-1,2,8,17,21\right\}$

b)

$\left\{-1,5,15,22,54\right\}$

c)

$\left\{-1,15,22,36,56,88\right\}$

d)

$\left\{-1,2,7,14,23\right\}$

e)

$\left\{-1,\ 0,\ 1,2,3\right\}$

28.

If f(x)=2x+25, find f(5).

(a)

29.

Given f(x) = 3x - 2 and g(x) = x²-5. Find: (f - g)(2). enter just the solution:

(a)

30.

Given f(x) = 2x and g(x) = x²+3 , find g(f(x)).

a)

x²+2x+3

b)

4x²+3

c)

2x²+3

d)

2x²+6

e)

4x²+9

31.

Given f(x) = -4x - 10 and f(x) = 6. Find x

a)

x = -1

b)

x = 1

c)

x = -34

d)

x = -14

e)

x = -4

32.

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

Find:\ \left(fo\ g\right)\left(1\right)

(a)

33.

What is the inverse function of f(x) =3x + 7?

a)

$f^{-1}(x)=\frac{1}{3}x+7$

b)

$f^{-1}(x)=\frac{x\ +\ 7}{3}$

c)

$f^{-1}(x)=\frac{x-7}{3}$

d)

$f^{-1}\left(x\right)=3x-7$

e)

$f^{-1}\left(x\right)=-3x-7$

34.

Are these inverse functions?

a)

no they do not reflect over the x-axis

b)

yes they reflect over the y-axis

c)

no they do not reflect over y=x

d)

yes they reflect over the x-axis

e)

yes they reflect over the y=x

35.

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

a)

(1, 4) and (4, 6)

b)

(-4, -1) and (-6, -4)

c)

(-1, -4) and (-4, -6)

d)

(4, 1) and (6, 4)

e)

Not enough information

36.

Which function is graphed?

a)

f(x) = 2|x + 2| -4

b)

f(x) = 2|x - 4| + 2

c)

f(x) = |x + 2| - 4

d)

f(x) = -2|x - 4|

e)

f(x) = |x - 2| - 4

37.

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)

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

e)

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

38.

Which of the following is the correct equation for the given graph?

a)

f(x) = -(x + 2)² - 4

b)

f(x) = -1/3(x - 2)² - 4

c)

f(x) = -3(x - 2)² - 4

d)

f(x) = -3(x + 2)² - 4

e)

f(x) = -1/3(x + 2)² - 4

39.

How is the equation shifted from its parent graph: y = x²?

y = - (x + 8)² + 12

a)

Right 8, up 12, flipped vertically

b)

Left 8, up 12, flipped vertically

c)

Right 8, down 12, flipped horizontally

d)

Left 8, up 12, flipped horizontally

e)

Right 8, up 12, flipped horizontally

40.

What is the vertex:

y = 2(x-3)²+18

(a)

41.

Solve: x²+x+1=0

a)

(1 ± i√3)/2

b)

(1±i√2)/2

c)

(-1±i√3)/2

d)

-1±i√2)/2

e)

No solutions

42.

Solve: $x^2+5x-3=0$

a)

$x=\frac{-5\pm\sqrt{13}}{2}$

b)

$x=\frac{-5\pm\sqrt{37}}{2}$

c)

$x=\frac{5\pm\sqrt{13}}{2}$

d)

$x=\frac{5\pm\sqrt{37}}{2}$

e)

no solutions

43.

What are the factors of the quadratic: $x^2+2x-3$

a)

(x-1)

b)

(x+3)

c)

(x+1)

d)

(x-3)

e)

(x+2)

44.

Solve for x:

8x² - 24 = 0

a)

x = ± i √ (3)

b)

x = ± 3i

c)

x = ± √(3)

d)

x = ± 2

e)

x = ± 3

45.

Factor completely:

3x² + 18x +15

Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

e)

(3x + 5)(x - 1)

46.

Factor: x² -10x +25

a)

(x - 5)(x + 5)

b)

(x - 5)²

c)

(x + 5)²

d)

prime

e)

(x + 5)(x - 5)

47.

What are the factors of the trinomial:

2x² + 7x + 6

a)

(2x - 3)

b)

(2x + 3)

c)

(x + 6)

d)

(x+2)

e)

(x + 1)

48.

Factor 9x²-64

a)

(3x-8)(3x+8)

b)

(9x-8)(x+8)

c)

(3x-4)(3x+4)

d)

(3x-8)²

e)

(3x+8)²

49.

What are the green dots called, choose all that apply?

a)

zeros

b)

vertex

c)

solutions

d)

roots

e)

x-intercepts

50.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

e)

vertex

51.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

e)

y=-2.5

52.

Which of the following make up the piecewise function?

a)

$-x-2\ if\ x\le-2$

b)

$2\ \ if\ -2<x<1$

c)

$2\ if\ -1<x<2$

d)

$x-2\ if\ x\ge1$

e)

$2x-3\ if\ x\ge1$

53.

What are the domain restrictions for the piecewise function select all that apply?

a)

-2 < x ≤ 1

b)

-2 ≤x

c)

x > -2

d)

x ≤ 1

e)

x > 1

54.

What is g(4) if:

a)

11

b)

5

c)

-5

d)

-1/2

e)

7

55.

Given the piecewise function find the values of x where f(x)=4

a)

x = 0

b)

x = 4

c)

x = -3

d)

x = 1

e)

x = -4

Algebra 2 Semester 1 Final 2020

Total questions: 55

Worksheet time: 1hrs 14mins

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