Mixed Practice A

Practice a balanced mix of exponential relationship skills.

This set blends factors, tables, sequences, equations, percent change, and model choice.

How to use this set

Move one question at a time. Decide whether the clue is a starting value, a repeated factor, or a linear-versus-exponential decision.

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Set Focus

Mixed exponential review

A steady checkpoint before the deeper mixed set.

Growth and decay

Identify factors and choose equations.

Sequences

Use common ratios and recursive rules.

Tables

Compare differences and ratios.

Contexts

Interpret starting values and percent change.

Practice Questions

Mixed Review A

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

Question 1

Growth factor

What is the growth factor in y=12(1.25)^x?

Question 2

Decay rule

An amount starts at 40 and is cut in half each step. Which rule fits?

Question 3

Linear comparison

Which table is linear, not exponential?

Question 4

Geometric term

A geometric sequence begins 4, 12, 36, .... What is the fourth term?

Question 5

Interpret initial value

S(t)=75(2)^t models sign-ups after t days. What does 75 represent?

Question 6

Table factor

Find the constant ratio in the table.

Sequence values

term	1	2	3	4
value	6	18	54	162

Question 7

Evaluate

What is g(3) if g(x)=2(5)^x?

Question 8

Percent increase

A quantity increases by 30% each year. What exponential factor should be used?

Question 9

Recursive to explicit

A sequence has a_1=10 and a_n=0.5a_{n-1}. Which explicit form matches?

Question 10

Model choice

Which clue most strongly points to an exponential model?

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