Algebra1&2-Chp 6-10

Front 1

Solve the inequality and graph

x + 5 > -6

Back 1

x > -11
(see graph)

Front 2

Solve and graph

x/4 > 2

Back 2

x > 8
(see graph)

Front 3

Solve 12 - 3x < 18

Back 3

x > -2

Front 4

Solve 2 < 2x + 4 < -6

Back 4

-x < x < -5

Front 5

Solve |8 - x| > 3

Back 5

x < 5 or x > 11

Front 6

Graph 1/2x - 2y < 2

Back 6

(see graph)

Front 7

Find the mean, mode and median of the following data:
46, 34, 34, 72, 14, 16, 25, 46, 82, 111, 46

Back 7

mean = 47.81
mode = 46
median = 46

Front 8

Box and Whiskers problem (see powerpoint)

Back 8

Set B

Front 9

Graph the linear systems and determine the solution
2x - 3y = -3
x + 6y = -9

Back 9

(-3, -1)
(see graph)

Front 10

Solve the linear system and tell how many solutions.
-2x - 5y = 7
7x + y = -8

Back 10

(-1, -1)
one solution

Front 11

Solve the linear system and tell how many solutions
4x - 9y = 1
-5x + 6y = 4

Back 11

(-2, -1)
one solution

Front 12

Your group is selling tickets to an event. The room holds 119 people. Student tickets are $7.50 each and adult tickets are $10.00 each. You need to raise $975 per performance. Write a linear equation to model the raising $975. Label your variables.

Back 12

x = adult tickets
y = student tickets
$10.00x + $7.50y = $975

Front 13

Your group is selling tickets to an event. The room holds 119 people. Student tickets are $7.50 each and adult tickets are $10.00 each. You need to raise $975 per performance. Write a linear equation to model the number of seats that can be sold. Label your variables.

Back 13

x = adult tickets
y = student tickets
x + y = 119

Front 14

Your group is selling tickets to an event. The room holds 119 people. Student tickets are $7.50 each and adult tickets are $10.00 each. If exactly $975 was raised how many of each type of ticket was sold?

Back 14

33 adult tickets
86 student tickets

Front 15

Solve the linear system and tell how many solutions.
2x - 3y = 1
-2x + 3y = 1

Back 15

no solutions

Front 16

Solve the linear system and tell how many solutions.
21x + 28y = 14
9x + 12y = 6

Back 16

infinite solutions

Front 17

Write a system of linear inequalities that define the shaded region. (See powerpoint - Linear Inequalities

Back 17

x > 0
y > 0
y < 2x + 5
y > 2x - 1

Front 18

Back 18

Front 19

Back 19

Front 20

Back 20

216

Front 21

Back 21

1/64

Front 22

Back 22

1/3

Front 23

Back 23

Front 24

Back 24

1

Front 25

Back 25

Front 26

Back 26

Front 27

Back 27

64

Front 28

Back 28

1/4

Front 29

Back 29

9/4

Front 30

Back 30

Front 31

Back 31

Front 32

Back 32

489,000

Front 33

Back 33

0.0386

Front 34

Rewrite the number in scientific notation. 0.0000743

Back 34

7.43 x 10^-5

Front 35

Rewrite the number in scientific notation. 943503267

Back 35

9.4 x 10^8

Front 36

The distance from Earth to the star Alpha Centauri is about 4.07 x 10^13 km. Light travels at 3.0 x 10^5 km per second. How long does it take light to travel from this star to Earth in seconds and years?

Back 36

1.36 x 10^8 seconds or about 4.3 years

Front 37

Evaluate the expression without using a calculator. Write the result in scientific notation and decimal form.
(3.2 x 10^-5) x (4 x 10^8)

Back 37

1.28 x 10^4 or 12,800

Front 38

Evaluate the expression without using a calculator. Write the result in scientific notation and decimal form.
(12 x 10^10)/(6 x 10^-2)

Back 38

2 x 10^12 or 2,000,000,000,000

Front 39

In 2007 a business was started. In the first year sales totaled $66,000. Then each year sales increased by 4.5%. Write an exponential growth model to represent this situation. Estimate sales for 2012.

Back 39

y = $66,000(1.045)^t
y = $82,248 (for t = 5)

Front 40

An automobile is purchased for $16,000 in 2009. It decreases in value about 12% per year. Write an exponential growth model to represent this situation. What will it be worth to the nearest dollar in 2012?

Back 40

y = 16,000(.88)^t
y = $10,904 (for t = 3)

Front 41

Solve the equation
1/4x^2 = 9

Back 41

x = 6 and x = -6

Front 42

Simplify sqrt(27)

Back 42

3sqrt3

Front 43

Simplify sqrt(7/9)

Back 43

(sqrt 7)/9

Front 44

Simplify sqrt(8/4)

Back 44

sqrt(2)

Front 45

Simplify sqrt(8)/sqrt(3)

Back 45

2sqrt(6)/3

Front 46

Sketch the graph of
y = x^2 - 2x + 1

Back 46

See graphing quadratic function

Front 47

Solve by graphing
x^2 - 2x - 8 = 0
(must show calculator/manual graph)

Back 47

x = -2 and x = 4

Front 48

Solve by the quadratic formula
2x^2 - x - 2 = 0
(round to the hundredths)

Back 48

x = 1.28 or x = -0.78

Front 49

Use the discriminant to determine the number of solutions.
3x^2 - 2x - 1 = 0

Back 49

discriminant = 16
Two solutions

Front 50

Use the discriminant to determine the number of solutions.
x^2 - 8x + 16 = 0

Back 50

discriminant = 0
One solution

Front 51

Back 51

Discriminant = -4
no real solutions

Front 52

Back 52

Front 53

Back 53

Front 54

Back 54

Front 55

Back 55

linear; y = 2x -1

Front 56

Back 56

Front 57

Back 57

Front 58

Back 58

Front 59

Find the product
(7x - 1)(5x + 2)

Back 59

Front 60

Back 60

Front 61

Back 61

Front 62

Back 62

Front 63

Solve
(3x + 1)(x - 4)(8x - 4) = 0

Back 63

x = -1/3, x = 4, x = 1/2

Front 64

Back 64

(x - 6)(x + 2) = 0
x = 6 and x = -2

Front 65

Back 65

(x + 8)(x - 5) = 0
X = -8 and x = 5

Front 66

Write a quadratic equation with solutions 25 and 0.

Back 66

Front 67

Back 67

(3x - 1)(2x - 5)

Front 68

Back 68

(11x - 3)(11x + 3)

Front 69

Back 69

prime, cannot be factored any further

Front 70

Factor
(16x^4 - 81)

Back 70

(4x^2 + 9)(2x + 3)(2x - 3)

Front 71

Factor completely
2x^4 - 32x^2

Back 71

2x^2(x + 4)(x - 4)

Front 72

Factor completely
x^3 + 2x^2 + 3x + 6

Back 72

(x^2 + 3)(x + 2)

Front 73

Factor completely
x^3 - 5x^2 - 4x + 20

Back 73

(x + 2)(x - 2)(x - 5)

Front 74

The number before a variable is called the:

Back 74

coefficient

Front 75

If the product of a pair of numbers equals one they are

Back 75

reciprocals

Front 76

A value with no variable factors.

Back 76

constant

Front 77

All positive, negative counting numbers and 0.

Back 77

integers

Front 78

A letter that is used to represent one or more numbers.

Back 78

variable

Front 79

The parts that are added in an expression.

Back 79

term

Front 80

The U-shaped graph of a quadratic function.

Back 80

parabola