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Linear Equations
Quadratic Functions
Polynomial
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Exponential
100

-2x + 6 = 4x - 2

a: no solutions

b: 0

c: 3

d: 1 / 2

e: 4 / 3

e

100

Find the maximum or minimum value of f(x) = 2x2 + 3x - 5 

 f has a minimum value equal to -49/8

100
  1. What is the degree of the polynomial 2 x9 + 7 x3 + 191? 

2 x9

100
solve:

(5 − 83) − 3


-150

100

 104 is not equal to which of the following?

  1. 100,000
  2. 0.1 x 105
  3. 10 x 10 x 10 x 10
  4. 102 x 102
  5. 10,000

a:104=10.10.10.10, or 10,000.

200

-(-x - 5) = x - 2

a: no solutions

b: -5

c: 3

d: 1 / 2

e: 4 / 3

a

200

Find the range of f(x) = -x2 + 4x - 5 

range: (- infinity , -1] 

200

What is the largest number of real roots that a 7th degree polynomial could have?  What is the smallest?

  A seventh degree polynomial has at least one and at most 7 real roots.

200

solve: (1 + 6 − 8 − 32 + 3)

-7

200

Multiply 104 by 102

  1. 108
  2. 102
  3. 106
  4. 10-2
  5. 103

C: When multiplying terms with the same base, the exponents should be added. Thus, 104 . 102=106.

300

-(-x - 5) + 5(x - 9) = 2(x + 8) -(2x + 5)

a: 5

b: no solutions

c: 17 / 2

d: 15 / 2

e: -8

c

300

Find the vertex of the graph of f(x) = 3x2 + 6x - 10

vertex at: (-1 , -13)

300

How many real roots can a fourth degree polynomial have?

 0 to 4, inclusive.

300

solve: (8 + 8 − 7) × 8

72

300

Divide x5 by x2

  1. x7
  2. x4
  3. x10
  4. x3
  5. x2.5

 D: When dividing terms with the same base, the exponents should be subtracted. Thus, x5/x2 =x3.

400

-(3x - 1) / 3 - 2(x - 8) / 5 = (x + 8) / 5 - 3

a: -10

b: 15

c: 17 / 2

d: 37 / 12

e: no solutions

d

400

Find the intervals of increase and decrease of f(x) = 6x2 + x - 2

 interval of decrease: (-infinity , -1/12) , interval of increase: (-1/12 , +infinity)

400
What is the large scale behavior of f(x) = -x6+ ax5 + bx4+ cx3+ dx2+ ex + g?

 

 As x becomes very large positive or very large negative  f(x) becomes more and more negative
400

solve: 5 − (33 × 23) − 7

-218

400

 Find 8.23 x 109

  1. 0.00000000823
  2. 0.000000823
  3. 8.23
  4. 8230000000
  5. 823000000000

 D: The decimal will be moved to the right 9 places. Thus 7 zeros will be added to the right of 823, giving 8,230,000,000.

500

2 / 7 - (x + 8) / 4 = 3(x - 3) / 5 - 3 / 2

a: no solutions

b: 0

c: 17 / 111

d: 37 / 119

e: 222 / 119


e

500

Find the axis os symmetry of the graph of f(x) = -2x2 - x - 2

The axis is a vertical line given by x = -1/4

500

What are the roots of g(x) = 3x2 - 7x - 20?

 -5/3 and 4

500

solve: 32 − 1 × (9 × 72) × 8

-3519

500

83,000 equals:

  1. 83.0 x 104
  2. 8.3 x 104
  3. 8.3 x 103
  4. 83.0 x 105
  5. 83.0 x 102

B: Moving the decimal to the right of the digit, 8, gives the equivalent expression, 8.3x104, since there are 4 digits to the right of the 8.