Boost Your Pre-Algebra Skills with Examples and Solutions

High School
Algebra
Pre-Algebra

When adding or subtracting fractions you ? add the denominators.

Emily-Jane Bray 2021-09-22

Reduce fraction to its simple form. It has to remain a fraction and not a decimal for its final answer. $\frac{145}{203}$

Khadija Wells 2021-09-22

Discuss: Recognizing Partial Fraction Decompositions
For each expression, determine whether it is already a partial fraction decomposition or whether it can be decomposed further.
a) $\frac{x}{x^{2} + 1} + \frac{1}{x + 1}$
b) $\frac{x}{{(x + 1)}^{2}}$
c) $\frac{1}{x + 1} + \frac{2}{{(x + 1)}^{2}}$

Tammy Todd 2021-09-22

determine $L^{- 1} [F (s) G (s)]$ in the following two ways:
(a) using the Convolution Theorem, (b) using partial fractions.
$F (s) = \frac{1}{s}, G (s) = \frac{1}{s - 2}$

Chaya Galloway 2021-09-22

Explain the difference between an equation and a system of equations. Discuss the solution(s) in your explanation.

waigaK 2021-09-21

We measure speed with the rate=distance/time.
$S = \frac{d}{t}$
From this equation, find an equation d, distance and for t, time.
$\begin{matrix} D I S T A N C E & T I M E \end{matrix}$

arenceabigns 2021-09-21

The model for radioactive decay is $y = y 0 e^{- k t}$ . A radioactive substance has a half-life of 1150 years. If 15 grams are present today, in how many years will 10 grams be present? (Round the value of k to 7 decimal places.) Round your answer to two decimal places, if necessary.

Suman Cole 2021-09-21

To choose: The correct option that describes a from the given choices, if a is a nonnegative real number.
Given:
a. $a < 0$
b. $a > 0$
c. $a \leq 0$
d. $a \geq 0$

CheemnCatelvew 2021-09-21

Write a, b, c, and d in least to greatest.
Given the inequality equation:
$b > d + \frac{1}{3}; c + 1 < a - 4; d + \frac{5}{8} > a + 2$

avissidep 2021-09-21

Min $P = 4 x + 10 y$
Subject to:
$2 x + 6 y \geq 24$
$4 x + 2 y \geq 18$

aflacatn 2021-09-21

In macroeconomic theory, total consumption expenditure on goods and services, C, is assume to be a linear function of national income, I. The table gives the values of C and I for 2004 and 2009 in country A(in billions of dollars).
a. Find the formula for C as a function of 1.
b. The slope of the linear function is called the marginal propensity to consume. What is the marginal propensity to consume for country A from 2004-2009?
a. FInd the formula for C as a function of I.
$C = ?$
$\begin{array}{cc} Year & 2004 & 2013 \\ Total consumption (C) & $ 8, 289 & $ 10, 086 \\ National income(f) & $ 9, 938 & $ 12, 027 \end{array}$

midtlinjeg 2021-09-21

Solve the compount inequality.
$- 2 u < 6$ or $3 u + 3 \geq 18$
Write the solution in interval notation.

slaggingV 2021-09-21

For Exercise, solve the equations and inequalities. Write the solution sets to the inequalities in interval notation.
$3 x (x - 1) = x + 6$

he298c 2021-09-21

The time in hours taken by a truck to travel 144 miles is 3
Calculate time in hours taken by a truck to travel 1,200 miles:

Tabansi 2021-09-21

What’s the difference between a ratio and a proportion?

allhvasstH 2021-09-21

A. What is an equation?
B. Explain the difference between a linear and a quadratic equation in terms of degree and solution.
C. Givea concise definition of the following:
1. Rate
2 Ratio
3. Proportion

Burhan Hopper 2021-09-21

Given that a stone is thrown into a pond, creating a circular ripple that spreads over the pond in such a way that the radius is increasing at a rate of 3.4 ft/sec.
Complete parts a through c.
a) Find a function for the radius in terms of t.
$r (t) =$ ___
(Use integers or decimals for any numbers in the expression.)

Reeves 2021-09-21

The function that converts the dollars of Country A to the dollars of Country B according to January 13, 2008, values is $f (x) = 0.99286 x$ , where x is the number of dollars of Country A and f(x) is the number of dollars of Country B. Complete parts a and b below.
a. Find the inverse function for f.
$f^{- 1} (x) =$ ___
(Simplify your answer. Use integers or decimals for any numbers in the expression. Round to four decimal places as needed.)

Yasmin 2021-09-21

A pendulum's initial swing is 80 cm, 76cm on its second swing, 72.2cm on its third swing, and 68.59cm on its fourth swing. Complete parts a and b below.
a. What precise formula can be applied to determine the length of the n-th swing if the pattern persists?
$a_{n} = 80 {(0.95)}^{n - 1}$
(Simplify your answer. Use integers or decimals for any numbers in the expression.)
b. Use your formula to find the distance of the 10-th swing.
$a_{10} = ? c m$
(Type an integer or decimal rounded to two decimal places as needed.)

iohanetc 2021-09-21

A person buys a phone for $81 and signs up for a single-line phone plan with 2000 monthly anytime minutes. The plan costs $119.96 per month. Write an equation that can be used to determine the total cost, C(t), of this phone plan for t months. Then, find the cost for 22 months, assuming that the number of minutes the person uses does not exceed 2000 per month.
An equation that can be used to determine the total cost, C(t), of the phone plan fot t months is $C (t) = ?$

Getting your pre Algebra solved becomes much easier when you have all the answers to your questions by taking a closer look at the various examples dealing with Pre-Algebra subjects. We have intentionally collected the list of pre-algebra equations and various solving equations with decimals problems to help you see various examples that explain how certain solutions are found. Still, if something sounds unclear or you are concerned about some solution that has been provided, approach pre-algebra with reverse engineering approach (going backwards).

Pre-Algebra

Improve Your Algebra Skills with Practice Problems