Exponential and log formulas Practice Questions (Grade 11)

Exponential and log formulas. Game on.

Exponential and log formulas is a grade 11 math skill aligned to Common Core standard HSF.LE.A.2: construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 15 exponential and log formulas problems our math games drill.

CCSS HSF.LE.A.215 questions in the bank

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Warm-upeasy

You invest $\text{\char36}500$ at $10\%$ annual interest for $1$ year. What is the total?

$500 \times 1.10 = 550$ .

Mid-gameeasy

A substance has a half-life of $4$ years. What fraction remains after $12$ years?

$12 \div 4 = 3$ half-lives. Remaining: $\left(\dfrac{1}{2}\right)^{3} = \dfrac{1}{8}$ .

Mid-gameeasy

You invest $\text{\char36}100$ at $10\%$ annual interest compounded yearly for $2$ years. What is the total?

Year 1: $100 \times 1.10 = 110$ . Year 2: $110 \times 1.10 = 121$ .

Mid-gameeasy

A substance has a half-life of $2$ years. What fraction remains after $6$ years?

$6 \div 2 = 3$ half-lives. Remaining: $\left(\dfrac{1}{2}\right)^{3} = \dfrac{1}{8}$ .

Mid-gameeasy

You invest $\text{\char36}2000$ at $5\%$ annual interest for $1$ year. What is the total?

$2000 \times 1.05 = 2100$ .

Mid-gameeasy

A substance has a half-life of $5$ years. What fraction remains after $10$ years?

$10 \div 5 = 2$ half-lives. Remaining: $\left(\dfrac{1}{2}\right)^{2} = \dfrac{1}{4}$ .

Mid-gameeasy

You invest $\text{\char36}400$ at $25\%$ annual interest for $1$ year. What is the total?

$400 \times 1.25 = 500$ .

Buzzer beatereasy

A substance has a half-life of $1$ years. What fraction remains after $2$ years?

$2 \div 1 = 2$ half-lives. Remaining: $\left(\dfrac{1}{2}\right)^{2} = \dfrac{1}{4}$ .

Exponential and log formulas. Game on.

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