Free Printable Adv Algebra 2 Fall Final Review

1.

Solve for t 2t + 4 = 6

a)

5

b)

2

c)

1

d)

all real numbers

2.

What is the solution of r - 11 = 5

a)

11

b)

14

c)

15

d)

16

3.

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

a)

j + 26 = 47

b)

26j = 47

c)

j - 26 = 47

d)

47j = 26

4.

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

5.

2x + 3 = 2x + 3

a)

0

b)

1

c)

no solution

d)

all real numbers

6.

Mrs. Crabtree walked for 18 minutes. Mr. Drysdale walked for w minutes. Mrs. Crabtree walked twice as long as Mr. Drysdale. How long did Mr. Drysdale walk?

a)

9 minutes

b)

36 minutes

c)

18 minutes

d)

12 minutes

7.

4x + 7 = 23

a)

x = 16

b)

x = 4

c)

x = 9

d)

x = 12

8.

Find the value of x so that the function $f\left(x\right)=-3x-5$ has the value $f\left(x\right)=-4$ .

(Just put the number answer)

9.

Jenny brought $43.00 with her to the mall. After buying a few items on sale, she left the mall with $17.50. How much did Jenny spend at the mall? Choose an equation you could use to solve this word problem.

a)

17. 5 - m = 43

b)

43 + m = 17.5

c)

43 - m = 17.5

d)

17.5m = 43

10.

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?

a)

j + 26 = 47

b)

26j = 47

c)

j - 26 = 47

d)

47j = 26

11.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

12.

|2a - 10| = 6

a)

a = 8, a = 5

b)

a = 2

c)

a = 8

d)

a = 8, a = 2

13.

−2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-5,5}

d)

No Solution

14.

Solve |2x –3| + 5 =10.

a)

{x = -1, 1}

b)

{x = -1, 4}

c)

{x = -1, -4}

d)

{x = 1, 4}

15.

Solve:

0 = -6|9v - 7|

a)

$v\ =\ \frac{13}{9}$

b)

$v\ =\ \frac{7}{9}$

c)

v = 16 v = 4

d)

no solution

16.

Solve the following inequality:

| 2w − 1 | < 11

a)

No Solution

b)

All Real Numbers

c)

−5 < w < 6

d)

−6 < w < 5

17.

Solve the following inequality:

| x + 1 | ≥ 3

a)

No Solution

b)

All Real Numbers

c)

x ≤ −4 or x ≥ 2

d)

−4 ≤ x ≤ 2

18.

Solve the following inequality:

|x + 4| − 8 > 2

a)

x > 6 and x < 10

b)

x > 6 or x < −14

c)

all real numbers

d)

no solution

19.

Solve the following inequality:

−5|x − 4| > −20

a)

x < 8 and x > 0

b)

x > 8 or x < 0

c)

all real numbers

d)

no solution

20.

Solve the following inequality:

|10 + 4x| < 14

a)

x < 1 and x > −6

b)

x < 1 or x > −6

c)

x < 6 and x > −6

d)

x < 1 or x > −1

21.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

22.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

23.

Find the slope: (−9, 9) (−2, −6)

a)

2/7

b)

-7/15

c)

-15/7

d)

-2/7

24.

What is the slope of the line that contains these points?

a)

3

b)

-3

c)

1/3

d)

-1/3

25.

What is the slope (m) of the table?

a)

0

b)

3

c)

-3

d)

-1

26.

In slope-intercept form, write the equation of the line passing through the points (-3,4) and (-4,2).

a)

y = -2x + 10

b)

y = -2x - 10

c)

y = 2x - 10

d)

y = 2x + 10

27.

In slope-intercept form, write the equation of the line passing through the points (-4,1) and (-3,2).

a)

y = -x + 5

b)

y = x + 5

c)

y = x - 5

d)

y = -x + 5

28.

Write the equation in slope-intercept form: 5x - 2y = 12

a)

y = 5/2x - 6

b)

y = -5/2x - 6

c)

y = 5x +12

d)

y = -5x + 12

29.

Write the linear equation of a line that passes through (2,5) and (2, 9).

a)

y = 0

b)

x = 0

c)

y = 2

d)

x = 2

30.

What is the equation for the line that passes through the points (4,2) and (0,6)?

a)

y = x + 6

b)

y = -2x + 2

c)

y = -x - 6

d)

y = -x + 6

31.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

32.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

33.

What is the equation of the line?

a)

y = -3/4x + 3

b)

y = 4/5x + 3

c)

y = -4/5x + 3

d)

y = -4/5x

34.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

35.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

36.

$y\le-\frac{5}{3}x-2$

a)

b)

c)

d)

37.

$y\le-\frac{3}{5}x+3$

a)

b)

c)

d)

38.

$y>1$

a)

b)

c)

d)

39.

$y\ge-\frac{4}{5}x+5$

a)

b)

c)

d)

40.

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

a)

b)

c)

d)

41.

7x+4y =12
x + 2y = -4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

42.

x + 2y = -4
x - 2y = 8

a)

(2,5)

b)

(2,-3)

c)

(2,-2)

d)

(-3,2)

43.

7x - 2y = 6
x - 2y = -6

a)

(2,4)

b)

(3,-2)

c)

(1,2)

d)

(-2,-4)

44.

Solve the system of equations to find the value of y.

a)

-2

b)

3

c)

-3

d)

2

45.

Solve the system of equations to find the value of z.

a)

4

b)

-4

c)

2

d)

-2

46.

If the matrices can be multiplied, what dimension is the product? If not, write undefined.

a)

( 3 x 1 )

b)

( 3 x 2 )

c)

( 3 x 3 )

d)

undefined

47.

a)

A

b)

B

c)

C

d)

D

e)

E

48.

a)

A

b)

B

c)

C

d)

D

e)

E

49.

a)

A

b)

B

c)

C

d)

D

e)

E

50.

a)

A

b)

B

c)

C

d)

D

e)

E

51.

What is the inverse of this matrix?

a)

b)

c)

d)

52.

a)

b)

c)

d)

53.

a)

b)

c)

d)

54.

Which option below correctly shows the steps to find the inverse of this matrix?

a)

b)

c)

d)

No Inverse Exists

55.

Find the inverse of the matrix.

a)

b)

c)

d)

No Inverse Exists

56.

Identify the transformations:

a)

Shrink of 2; up 5

b)

Stretch of 2; up 5

c)

Up 2; left 5

d)

Up 2; right 5

57.

a)

Left 2, Down 2, Vertical Stretch

b)

Right 2; Up 1;

c)

Vertical Stretch; Right 2; Up 1

d)

Left 2; Down 2;

58.

The graph of $f\left(x\right)=\sqrt{x}$ is transformed to create $g\left(x\right)=f\left(x+5\right)-1$ . Describe the graph of g(x) in relation to f(x).

a)

shifted left 5 units

b)

shifted right 5 units

c)

shifted up 1 unit

d)

shifted down 1 unit

e)

reflection across the x-axis

59.

Describe the transformations for the following function $h\left(x\right)=2\left(x-3\right)^2+5$ from the parent function $g\left(x\right)=x^2$

a)

vertical stretch times 2

b)

horizontal stretch times 2

c)

shift left 3 units

d)

shift up 5 units

e)

shift right 3 units

60.

Describe the transformation of f(x) to g(x) from the graph.

a)

shift left 2 units

b)

shift right 2 units

c)

vertical stretch

d)

horizontal stretch

61.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

62.

Solve 3x² - 192 = 0

a)

-32 or 32

b)

No Solution

c)

-8 or 8

d)

-64 or 64

63.

Use the quadratic formula to find the solutions for
$y=-x^2-5x+12$

a)

No Real Solution

b)

$\frac{5\pm\sqrt{73}}{-2}$

c)

$\frac{-5\pm\sqrt{73}}{-2}$

d)

$\frac{5\pm\sqrt{73}}{2}$

64.

Solve using the Quadratic Formula: $-x^2+4x=13$

a)

$2\pm3i$

b)

$-2\pm3i$

c)

$2\pm i\sqrt{17}$

d)

$-2\pm i\sqrt{17}$

65.

$x^2-2x-8=0$ Solve using the Quadratic Formula:

a)

$\frac{-1\pm\sqrt{73}}{6}$

b)

$-4,\ 2$

c)

$-2,\ 4$

d)

$-3,\ 2$

66.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

67.

What is the range of this function?

a)

-4 ≤ y ≤ 5

b)

-1 ≤ x ≤ 3

c)

All Real Numbers

d)

y ≥ -4

68.

What is the range of the graph above?

a)

All real numbers greater than or equal to -1.

b)

All real numbers less than or equal to 0.

c)

All real numbers less than or equal to -1.

d)

All real numbers.

69.

What is the domain of the graph?

a)

All real numbers

b)

To infinity and beyond

c)

y ≥ -1

d)

x ≥ 0

70.

Which function has a range of all real numbers greater than or equal to -6?

a)

b)

c)

d)

71.

What is the equation of the graph?

a)

$y=-\left|x-3\right|-5$

b)

$y=\left|x+3\right|-5$

c)

$y\ =\ \left|x-3\right|-5$

d)

$y=\left|x+3\right|+5$

72.

What is the equation of the graph?

a)

$y=-\left|x-1\right|+5$

b)

$y=-\left|x+1\right|+5$

c)

$y=\left|x-1\right|+5$

d)

$y=-\left|x+1\right|-5$

73.

What is the equation of the graph?

a)

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

b)

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

c)

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

d)

$y=-\left|x+3\right|-1$

74.

Which equation is shown graphed?

a)

y = −√(x + 1) + 4

b)

y = −√(x − 1) + 4

c)

y = √(x − 1) + 4

d)

y = √(x + 1) + 4

75.

a)

y = −√(x) − 3

b)

y = −√(x − 3)

c)

y = √(x) − 3

d)

y = √(x − 3)

76.

What is the vertex form of the given graph?

a)

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

b)

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

c)

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

d)

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

77.

If asked to write the equation of a parabola that passes through the point (1,12) and has a vertex at (10,-4), use the a value you just found to write the equation of the parabola.

a)

\ y=\frac{16}{81}\left(x-1\right)^2+12

b)

$y=\frac{16}{81}\left(x-10\right)^2-4$

c)

$y=\frac{81}{16}\left(x-1\right)^2+12$

d)

$a=\frac{81}{16}\left(x-10\right)^2-4$

78.

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

a)

y = 6(x + 5)² + 9

b)

y = -6(x - 5)² + 9

c)

y = 6(x - 5)² + 9

d)

y = -6(x + 5)² + 9

79.

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

a)

b)

c)

d)

80.

Write the equation of a graph with zeros at -3 and 4 and goes through the point (-4, 16)

a)

x² - x - 12

b)

2x² - 2x - 24

c)

-x² + x + 12

d)

-3x² + 3x + 36

Adv Algebra 2 Fall Final Review

Total questions: 80

Worksheet time: 7hrs 55mins

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