Algebra 1 Quiz Review

Sequences

100

Find the common difference:

18, 21, 24, 27, ..... 

add 3

200

Find the common ratio:

1/9, 1/3, 1, 3, 9, ....

multiply 3

300

What is the explicit form for an arithmetic sequence?

a_n= a₁ + (n-1)d

400

Write the recursive form for a geometric sequence.

a_n= a_n-1(r)

500

Is this sequence arithmetic or geometric?

2/5 ,2, 10, 50, ... 

What is the common ratio/difference?

Geometric, 5

Adding Polynomials

100

(6x² - 2x) + (9x² + 3x)

15x² + x

200

(4 + 2n³ ) + (5n³ + 2)

7n³+ 6

300

(−x⁴ + 13x⁵ + 6x³ ) + (6x³ + 5x⁵ + 7x⁴ )

18x⁵ + 6x⁴ + 12x³

400

(k⁴ - 3- 3k³) + (-5k⁴ + 6k³ - 8k⁵)

-8k⁵ - 4k⁴ + 3k³ - 3

500

(y³ - 7x⁴y⁴) + (-10x⁴y³ + 6y³ + 4x⁴y⁴) - (x⁴y³ + 6x⁴y⁴)

-9x⁴y⁴ - 11x⁴y³ + 7y³

Subtracting Polynomials

100

(5a + 4) - (5a +3 )

1

200

(3x⁴ - 3x) - (3x - 3x⁴)

6x⁴ - 6x

300

(8b³ - 6 + 3b⁴) - (b⁴ - 7b³ - 3)

2b⁴ + 15b³ -3

400

(3v⁵ + 8v³ - 10v²) - (-12v⁵ + 4v³ + 14v²)

15v⁵ + 4v³ - 24v²

500

(4x² + 7x³y²) - (-6x² - 7x³y² - 4x) - (10x + 9x²)

14x³y² + x² - 6x

Arithmetic or Geometric?

100

Is the following sequence arithmetic or geometric?

1, 5, 9, 13, 17, ...

Arithmetic (+4)

200

Is the following sequence arithmetic or geometric?

19, 57, 171, 513, ...

Geometric (x3)

300

Is the following sequence arithmetic or geometric?

9, 3, 1/3, 1/9, ....

Geometric (divide 3)

400

Is the following sequence arithmetic or geometric?

3, 20, 37, 54, .....

Arithmetic (+17)

500

Is the following sequence arithmetic or geometric?

-2, 10, -50, 250,....

Geometric (x-5)

Standard form polynomials

100

Write in standard form:

16x² + 4 - x²

15x² + 4

200

Write in standard form:

9b³ + 2b - 7b² + 6b

9b³ - 7b² + 8b

300

Write in standard form:

17f³ - 6f⁷ + f + 2f³ - f⁴ + 9

-6f⁷ -f⁴ + 19f³ + f + 9

400

9x⁴ + 3x - 5x - 16x³ + 9x² - x⁴

8x⁴ - 16x³ + 9x² - 2x

500

9y² + 7y³ - y - 2y⁵ + 6y - 3y² + y⁴ + 8y³

-2y⁵ + y⁴ + 15y³ + 6y² +6y