Free Printable fa 24 alg 2 FINAL

1.

√ 121

(a)

2.

Simplify.

a)

A

b)

B

c)

C

d)

D

3.

Name ALL the number set to which the following number belongs.

-√4

a)

natural, whole, integer, rational, real

b)

whole, integer, rational, real

c)

integer, rational, real

d)

rational, real

e)

irrational, real

4.

Which number is an irrational number?

a)

2.5

b)

5.72314.....

c)

-17

d)

1/2

5.

Simplify. $\frac{\sqrt[]{81}\cdot3+4^2}{3^2-2^2}$

(a)

6.

Evaluate $\frac{x\ -\ 4}{4c}$ for x = 20 and c = 2

a)

2

b)

5

c)

3

d)

4

7.

Eight times a number increased by 9 is the same as 15 more than 7 times the number. Find the number.

a)

6

b)

-7

c)

1

d)

2

8.

Solve the equation.

−18 − 6k = 6(1+ 3k)

a)

k = -2.67

b)

k = -1

c)

k = 1

d)

k = 6

9.

Solve for w

a)

10/3

b)

50/9

c)

46/9

d)

22/3

10.

|2x - 3| = 15

a)

x = -6 or x = 9

b)

x = -9 or x = 6

c)

x = 9

d)

No Solution

11.

Solve and write your answer in interval notation.

a-6\le15+8a

a)

[-3, ∞)

b)

(-∞, -3]

c)

(3, ∞)

d)

(-3, ∞]

12.

What inequality does the number line graph represent?

a)

$x\ge3$

b)

x > 3

c)

x < -3

d)

$x\le3$

13.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-1 < x < 3

c)

1 < x < 3

d)

1 ≤ x ≤ 3

14.

Write the inequality in interval notation.

a)

(-2,5)

b)

(-∞,-2) or (5,∞)

c)

[-2,5]

d)

(-∞,-2] or [5,∞)

15.

What inequality is graphed?

a)

x > 2 and x ≤ −3

b)

x > 2 and x < −3

c)

x > 2 or x ≤ −3

d)

x > 2 or x < −3

16.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

17.

Which set of values is not a function?

a)

(9,5) (10,5) (4,-5) (8,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (-5, -7) (1, 4)

18.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

19.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

20.

$Given\ f\left(x\right)=2x-10\ for\ which\ value\ of\ x\ that\ f\left(x\right)=8?$

a)

5

b)

10

c)

9

d)

-12

21.

$Given\ h\left(x\right)=x^2-4\ what\ is\ h\left(6\right)?$

a)

32

b)

0

c)

-4

d)

77

22.

$y=4x+5$

23.

Pick the line that has a negative slope

A

B

C

24.

$y=5$

25.

Are the equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

26.

Are the equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

27.

Are the equations parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

28.

Identify the x-intercept of the graph.

a)

(-4, 0)

b)

(0, -2)

c)

(0, -4)

d)

(-2, 0

29.

Identify the y-intercept of the graph.

a)

(0, 3)

b)

(-1, 0)

c)

(0, -1)

d)

(3, 0)

30.

Find the graph of this linear equation

-4x + 2y = - 8

a)

b)

c)

d)

31.

Name the x- and y-intercepts for the equation:
2x + y = 6

a)

(0, 3) and (6, 0)

b)

(0, -3) and (-6, 0)

c)

(3, 0) and (0, 6)

d)

(-3, 0) and (0, -6)

32.

What is the equation of a line with a slope of 2 and a y-intercept of -5?

a)

y = 5x - 2

b)

y = 2x - 5

c)

y = -2x - 5

d)

y = 2x + 5

33.

Write the equation in slope-intercept form of the line that passes through the given points, (0,4) & (4,7)

a)

Y = 3/4X + 4

b)

Y = 4/3X - 1

c)

Y - 7 = 3/4(X - 4)

d)

Option 1 and Option 3 are Correct

34.

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.

a)

C = 5h + 3

b)

C = 3h + 5

c)

H = 5c + 3

d)

H = 3c + 5

35.

Solve the system using matrices
3x - 8x = 32
x + y = 7

a)

(-8, 1)

b)

(8, -1)

c)

(-1,8)

d)

(1, -8)

36.

Solve the following system by graphing. What is the solution?

a)

(1, 2)

b)

(-1, 2)

c)

(2, 1)

d)

(2, -1)

37.

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses? Which equations are set up to solve this word problem if x represents # of horses and y represents # of chickens?

a)

2x + 4y = 28

x+y = 80

b)

4x + 2y = 80

x+y = 28

c)

2x + 4y = 80

x+y = 28

d)

4x + 2y = 28

x+y = 80

38.

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

a)

10 horses, 18 chickens

b)

16 horses, 12 chickens

c)

12 horses, 16 chickens

d)

18 horses, 10 chickens

39.

Which of the following equations match the given graph?

a)

x ≥ -1

b)

x ≤ -1

c)

x > -1

d)

x < -1

40.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

41.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

42.

The equation y = -x² - 2x + 8 is graphed. Based on this graph, what are the roots of the equation -x² - 2x + 8 = 0?

a)

8 and 0

b)

2 and -4

c)

9 and -1

d)

4 and -2

43.

Solve the following quadratic equation by factoring: $x^2-13x-30=0$

a)

$x=3\ \ \ \&\ \ \ x=10$

b)

$x=-3\ \ \ \&\ \ \ x=-10$

c)

$x=-2\ \ \ \&\ \ \ x=15$

d)

$x=2\ \ \ \&\ \ \ x=-15$

44.

Solve the following quadratic equation: $2x^2-5x+2=0$
by factoring

a)

$x=\frac{-1}{2}$ & $x=-2$

b)

$x=-1$ & $x=-4$

c)

$x=4$ & $x=1$

d)

$x=\frac{1}{2}\ \&\ x=2$

45.

Solve: (x - 2) ² = 49

a)

9 or -5

b)

± 9

c)

± 5

d)

± 7

46.

Simplify $\sqrt{-20}$

a)

$2i\sqrt{5}$

b)

$-2i\sqrt{5}$

c)

$20i$

d)

$-20i$

47.

What is i¹²⁹?

a)

-i

b)

i

c)

1

d)

-1

48.

Calculate:
(1 − 2i) + (-4 + 2i)

a)

-3

b)

-3 − 4i

c)

5 − 4i

d)

5

49.

Calculate:
(4 − 7i) − (-3 + 6i)

a)

7 − 13i

b)

7 − i

c)

1 − 13i

d)

1 − i

50.

a)

a

b)

b

c)

c

d)

d

51.

Which parent function matches the graph?

a)

y = |x|

b)

y = ∛(x)

c)

y = x²

d)

y = a⋅b^x

52.

What type of function is shown?

a)

absolute value

b)

quadratic

c)

linear

d)

exponential

53.

What type of function is shown?

a)

linear

b)

quadratic

c)

square root

d)

absolute value

54.

Which parent function matches the graph?

a)

f(x) = √(x)

b)

f(x) = ∛(x)

c)

f(x) = |x|

d)

f(x) = a⋅b^x

55.

Match the equation to its description.

a)

Right 2 and up 2

b)

Left 2 and up 2

c)

Right 2 and down 2

d)

Left 2 and down 2

56.

Identify the parent function of the graph.

a)

Logarithmic

b)

Linear

c)

Absolute Value

d)

Cubic

57.

Match the following Parent Functions to their Graphs

a)

1.

y = x³

b)

2.

y = $\left|x\right|$

c)

3.

y = 5

d)

4.

y = $\sqrt[]{x}$

e)

5.

y = x

58.

Describe the transformation from the parent cubic function:

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

* Select TWO answers *

a)

Translation 6 units right

b)

Translation 6 units left

c)

Translation 4 units up

d)

Translation 4 units down

59.

Write the equation that results if the parent absolute value function is shifted right 15 units, down 3 units, and reflected vertically.

a)

$y=-\left|x-15\right|-3$

b)

$y=-\left|x+15\right|-3$

c)

$y=\frac{1}{2}\left|x+3\right|-15$

d)

$y=\frac{1}{2}\left|x-3\right|-15$

e)

$y=\left|-x-15\right|-3$

60.

$y=\left(x-2\right)^2+1$ Use a graphing calculator to find the domain and range of the function given.

a)

Domain: x > 2

b)

Domain: x < 2

c)

Domain: All real numbers

d)

Range: y > 1

e)

Range y < 1

fa 24 alg 2 FINAL

Total questions: 60

Worksheet time: 4hrs 39mins

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