Improve Your Math Modeling Skills with Practice Problems

To find: A function that models area in terms of sides.

Kye 2021-09-24

The value of expression ${(5^{101})}^{\frac{1}{101}}$ .

Brennan Flores 2021-09-24

The value of expression $5 {(\frac{3}{4})}^{0}$ .
Key Concepts Used:
Any number raised to an exponent 0 is equal to 1. That is. $a^{0} = 1$ .

Tazmin Horton 2021-09-24

To determine: C and a so that $f (x) = C a^{x}$ satisfies given conditions.
Given: $f (0) = 3; f (3) = 24$

Rivka Thorpe 2021-09-24

The area of rectangle A(20,35).

jernplate8 2021-09-24

A system of linear equation that represents the situation "A farmer plants corn and wheat on a 180 acre farm. The farmer wants to plant three times as many acres of corn as wheat", and to find how many acres of each crop should the farmer plant.

beljuA 2021-09-24

In these problem you are asked to find a function that models a real-life situations. Use the principle of modeling described in this Focus to help you.
Area Find a function that models the area A of a circle in terms of its circumference C.

Lewis Harvey 2021-09-24

The area (in square feet) of the school sign can be represented by $15 x^{2} - x - 2$ .
a. Write an expression that represents the length of the sign.
b. Describe two ways to find the area of the sign when $x = 3$ .

Wierzycaz 2021-09-24

A toy rocket (not internally powered) is launched straight up from the top of a building 50 ft tall at an initial velocity of 200 ft per sec.
a) Give the function that describes the height of the rocket in terms of time t.
b) Determine the time at which the rocket reaches its maximum height and the maximum height in feet.
c) For what time interval will be rocket be more than 300 ft above ground level?
d) After how many seconds will it hit the ground?

Clifland 2021-09-24

A uniform sphere made of modeling clay has radius R and moment of inertia $I_{1}$ for rotation about a diameter. It is flattened to a disk with the same radius R. In terms of $I_{1}$ , what is the moment of inertia of the disk for rotation about an axis that is at the center of the disk and perpendicular to its flat surface?

Bevan Mcdonald 2021-09-23

To find: The function that models the product P of two positive number in terms of x.
Given information:
The sum of two positive numbers is 60.

Tahmid Knox 2021-09-23

The system of nonlinear equations from the given statement and find the numbers involved in the problem by solving the system.

Ernstfalld 2021-09-23

${({0.5}^{- 2})}^{2}$ by hand using properties of exponents.

illusiia 2021-09-23

According to social learning theory, what role does modeling play in gender typing?

Elleanor Mckenzie 2021-09-23

Average rate of change $f (x) = x^{2} - 3 x$ from $x = - 3$ to $x = - 1$

alesterp 2021-09-23

The solution of the system of equation with three variables.
Given: The system of equation with three variables $x - 4 y + 2 z = - 2; x + 2 y - 2 z = - 3; x - y = 4$

Line 2021-09-23

The edge length s of a cube with a surface area of A is given by $s = \sqrt{\frac{A}{6}}$ . What is the surface area of a cube with an edge length of 4 inches?

Reggie 2021-09-22

To find:
A function that models perimeter in terms of sides.

Joni Kenny 2021-09-22

The function $d (t) = 300, 000 t$ represents the distance (in kilometers) that light travels in t seconds.
a. How far does light travel in 15 seconds?
b. How long does it take light to travel 12 million kilometers?

Globokim8 2021-09-22

Write the solve an inequality that represents how many $20 bills you can withdraw from the account without going below the minimum balance.
Given information: Current balance is $320 and minimum balance in the account should be $100.

Since Math modeling problems can be encountered anywhere from AI-based solutions to programming and design, questions that relate to this area of Algebra are always in demand. You can see various Math modeling examples below that provide help and solutions to various problems. While it may not address your particular challenge, taking a look at some solutions will always provide a great starting point. See several Math modeling questions first and compare them to see the rationality and the use of equations that make things easier.

Algebra II

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