Mixed Practice B

Strengthen connected growth, decay, and context reasoning.

This set uses more layered choices across tables, equations, contexts, sequences, and long-term comparisons.

How to use this set

When two ideas appear at once, separate them: initial value first, factor second, context interpretation last.

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Set Focus

Deeper mixed exponential review

These items are designed for stamina and representation switching.

Representation switching

Move between tables, rules, and verbal descriptions.

Model comparison

Compare exponential growth with linear growth.

Percent change

Use percent increase and decrease factors.

Reasoning

Solve simple exponential equations by structure.

Practice Questions

Mixed Review B

Check your answer first, then reveal the explanation when you want the model.

Question 1

Equation from table

Which equation matches the table?

Values

x	0	1	2	3
y	9	6	4	\frac{8}{3}

Question 2

Compare functions

Function A is y=6(2)^x. Function B is y=2(6)^x. Which statement is true?

Question 3

Percent decay

A laptop loses 18% of its value each year. Which factor models the yearly value kept?

Question 4

End behavior

A linear model and an exponential growth model both start at 20. The linear model adds 10 each step, and the exponential model doubles each step. What happens eventually?

Question 5

Graph to equation

The marked points are (0,3), (1,9), (2,27), and (3,81). Which equation fits?

Question 6

Sequence model

A geometric sequence has terms 7, 21, 63, 189, .... Which recursive rule works?

Question 7

Solve by reasoning

If 64=4(2)^x, what is x?

Question 8

Average rate contrast

For f(x)=2^x, what is true about the average rate of change from x=0 to 1 compared with x=3 to 4?

Question 9

Model fit

A table has equal x-steps and y-values 100, 90, 81, 72.9. Which model fits best?

Question 10

Context interpretation

The model N(t)=15(3)^t describes app shares after t hours. What does the model predict after 2 hours?

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