Master Algebra 1 Word Problems with our Comprehensive Practice

You know your school bus stops at 2 minute intervals the first stop of the route begins at 6:20 AM everyday if your stop is the 18 stop when will the bus arrive for you?

If Sue buys A, she will have $1.50 left; if she buys B, she will have $2 left. Given that 2A=3B, how much money does she have?

Why are conversions important in measurement?

Write the first six terms of the sequence ${\displaystyle a_n=\frac{n}{n+1}}$

Find the 30th term of the arithmetic series 60, 53, 46, 39...

Find the numbers if two numbers sum to 56. thrice the first subtracted from the second is 4.

Solve:
$$g(x)=x^2+3x\text{ for }x=-<!--\; -\; -->2$$

Convert 58 inches to feet round answer to the nearest tenth​

If 5 apples sell for $.95, i need to know what is the cost of 12 apples?

Determine algebraically whether $$f(x)=\frac{2x+1}{x-<!--\; -\; -->4}$$ is one-to-one.

Determine the value for k for which the system of linear equation has infinitely many solution.
$$\{\begin{array}{l}2x-<!--\; -\; -->y=2\\ 4x+ky=4\end{array}$$

How do you find the first five terms given ${\displaystyle a_1=\frac{3}{4}}$, ${\displaystyle a_{n+1}=\frac{n^2+1}{n}\cdot a_n}$?

A Bacteria Culture Contains 100 Cells and Grows at a Rate Proportional to its Size
A bacteria culture contains 100 cells and grows at a rate proportional to its size. After an hour the population has increased to 420.
a) Find and expression for the number of bacteria after t hours
$P(t)=P(0)e^{kt}=100$
b) Find the number of bacteria after 3 hours.
$P(t)=P(3)e^{k3}=$ (confused as to how to set this up)
d) When will the population reach 10,000?

Help, i need to find the explicit formula for the following sequence 38, 33, 28, 23,...

Find the next term of the arithmetic sequence shown 1/6, 1/3, 1/2, 2/3

Use the fact that the world population was 2560 million in 1950 and 3040 million in 1960
Use the fact that the world population was 2560 million in 1950 and 3040 million in 1960 to model the population of the world in the second half of the 20th century. (Assume that the growth rate is proportional to the population size.) What is the relative growth rate? Use the model to estimate the world population in 1993 and to predict the population in year 2020.
Solution We measure the time t in years and let t=0 in the year 1950. We measure the population P(t) in millions of people.
$P(0)=3040$
$P(t)=P(0)e^{kt}=2560e^{kt}$
$P(10)=2560e^{kt}=3040$
This is where I have a problem.
I apply the natural logarithm to both sides of the equation.
$\ln <!--\; \; -->2560e^{10k}=\ln <!--\; \; -->3040$
I move the exponent up front. I am not sure if I am allowed to move the constant and variable.
$10k\ln <!--\; \; -->2560e=\ln <!--\; \; -->3040$

A certain whole number has the property that appending a digit 5 has the effect of adding 3074. What is the original number?

How do you show that k =4 if the first three terms of an arithmetic sequence are 2k+3, 5k-2 and 10k-15

Finding the value of a variable present in two functions
$$kx-<!--\; -\; -->3\text{ and }{x}^2+k$$