1/27/2021 Lesson and Quiz Retake

1/27/2021 Lesson and Quiz

Arithmetic sequence (common difference)

9, 14, 19, 24, ...

Common difference is 5

Term 0 is 4

Equation is t(n) = 5n + 4

The value for the 100th term would be t(100) = 5(100) + 4 = 504

Is 343 a term in the sequence? 343 = 5n + 4, solve for n and get 67.8 which is not an integer (cannot be the 67.8 term of the sequence) so no, it is not in the sequence.

Multiple Choice

Which of the following is the equation for the sequence?

25, 27, 29, 31, ...

• t(n) = 2n + 23

• t(n) = 2n + 25

• t(n) = 25n + 2

• t(n) = 25n + 23

Multiple Choice

Is 200 a term of the sequence that has the equation t(n) = 4n - 2?

• Yes

• No

Geometric sequences have a common multiplier

6, 12, 24, 48, ... has a common multiplier of 2

How can you find the common multiplier if it is not as easy to see?

For example: 20, 36, 64.8, 116.64

Simply divide by the previous term.

36 / 20 = 1.8, 64.8 / 36 = 1.8, 116.64 / 64.8 = 1.8. Therefore the common multiplier is 1.8

Multiple Choice

What is the common multiplier?

9, 7.2, 5.76, 4.608, ...

• 1.1

• 0.9

• 0.8

• 1.2

• 0.7

Multiple Choice

Which expression is equilvalent to   $x^3x^{-8}$  

•  $\frac{1}{x^5}$  
  

•  $x^5$  

•  $x^{-24}$  

•  $\sqrt{\frac{1}{x^5}}$  

Multiple Choice

If (2^x)⁵=2¹⁰, what does x equal?

• x = 2

• x = 5

• x = 10

• x = -5

Multiple Choice

What is the simplest form of the expression below?

-8x + 3x – 5 + 4x + 12

• x – 7

• -x + 7

• 15x - 7

• 3x + 5

• 2x + 9

Multiple Select

The French club sold rose bouquets and chocolate hearts for Valentine’s Day. The roses sold for $8 and the hearts sold for $4. The number of bouquets sold was 10 more than the number of hearts sold. If the club collected a total of $288, which equations can help solve this problem?

SELECT ALL

• 8R + 4H = 288

• B = H + 10

• B + H = 10

• 8R + 4H + 10 = 288

Multiple Choice

Match the equation to the graph.

 $y=\frac{1}{5}x+4$  

Multiple Choice

What is the slope of the line that passes through (2, 5) and (3, 8)?

***This would be a horizontal line since both points are up 5.

slope = (y2 - y1) / (x2 - x1)

• 3

• 1

• 1/2

• undefined slope

• 1/3