Boost Your Pre-Algebra Skills with Examples and Solutions

High School
Algebra
Pre-Algebra

Please, classify the following as an equation, an inequality, or an expression.
$\frac{x}{2} + 1 \leq 3 (x + 7)$

Alyce Wilkinson 2021-08-07

Use inductive reasoning to predict the next number in
a. $1, 4, 9, 16, 25, 36, 49,$ ?
b. $1, 5, 12, 22, 35,$ ?
c. $\frac{1}{2}, \frac{2}{3}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}, \frac{6}{7},$ ?
d. $3, 5, 9, 15, 23, 33,$ ?

a2linetagadaW 2021-08-07

Find the greatest common factor in the following expressions:
1) $10 x^{3} y, 12 x y^{2}$
2) $8 x^{2} b^{3}, 10 x^{2} b$
3) $28 x^{2} y^{4}, 42 x^{4} y^{4}$
4) $10 x^{3}, 12 x^{2}, 14 x$
5) $35 x^{3} y^{2}, 10 x^{4} y, 5 x^{5} y^{3}$
6) $27 x^{2} y^{3}, 45 x^{3} y^{4}$

ankarskogC 2021-08-07

Finds the unit rate if 12 pairs of shoes cost $5.79 in total.

Jason Farmer 2021-08-06

Expand the following as much as possible using the properties of logarithms. Express exponents and radicals as
a) $\log (\frac{\sqrt{x y^{3}}}{z^{2}})$ b) $\ln (\frac{x}{\sqrt[3]{1 - x}})$

coexpennan 2021-08-06

How do we use ratios and proportions in everyday life?

Mylo O'Moore 2021-08-06

How many drams of fat is there in $5 - o z$ bag.

e1s2kat26 2021-08-06

Given $P (x) = 3 x^{5} - 4 x^{4} + 9 x^{3} - 12 x^{2} - 12 x + 16$ , and that 2i is a zero, write P in factored form (as a product of linear factors). Be sure to write the full equation, including $P (x) =$ .

smileycellist2 2021-08-06

To simplify the expression, $\sqrt{23}$ .

OlmekinjP 2021-08-06

Find the least common multiple of the given numbers. 8 and 12

pancha3 2021-08-06

Solving Inequalities Graphically: Use a graphing device to solve the inequality. Express your answer using interval notation, with the endpoints of the interval rounded to two decimals.
$2 x^{3} - 3 x + 1 < 0$

nicekikah 2021-08-06

We can find the solutions of $\sin x = 0.3$ algebraically.
a) First we find the solutions in the interval $[0, 2 π)$ . We get one such solution by taking $\sin^{- 1}$ to get $x \approx$ __. The other solution in this interval is $x \approx$ .
b) We find all solutions by adding multiples of _ to the solutions if $[0, 2 π)$ . The solutions are $x \approx$ _ and $x \approx$ ___.

Cheyanne Leigh 2021-08-06

The function f(x) is the total amount spent at a store, when purchasing x items that are $5 each and the items are not taxable.
What is the practical domain for the function f(x)?
1) all positive integers
2) all real numbers
3) all whole numbers
4) all positive integers that are multiples of 5.

amanf 2021-08-06

Find the twenty-eighth positive multiple of 4 and the sum of the first twenty-eight positive multiples of 4.
$a_{28} =$
$S_{28} =$

aflacatn 2021-08-06

To find the least common multiple of pair of numbers, 60, 72 using prime factorsmethod.

sibuzwaW 2021-08-06

Values for the function f(x) are shown in the table.
$\begin{array}{cc} x & 0 & 1 & 2 & 3 & 4 & 5 \\ f (x) & 2 & 4 & 8 & 16 & 32 & 64 \end{array}$
Which statement proves that f(x) is an exponential function?
A) All of the values of f(x) are odd numbers.
B) All of the values of f(x) are multiples of 2.
C) The function f(x) grows by equal factors over equal intervals.
D) The function f(x) grows by equal differences over equal intervals.

Bevan Mcdonald 2021-08-06

In the following exercises, find all the factors of the given number.
588

alesterp 2021-08-06

To find the least common multiple of pair of numbers, 12, 16 using multiples method.

Aneeka Hunt 2021-08-06

In the following exercises, find all the factors of the given number.
576

e1s2kat26 2021-08-06

Fifty raffle tickets are numbered 1 through 50, and one of them is drawn at random. What is the probability that the number is a multiple of 5 or 7? Consider the following "solution": Since 10 tickets bear numbers that are multiples of 5 and 7 tickets bear numbers that are multiples of 7, we concluded the required probability is as follows.
$\frac{10}{50} + \frac{7}{50} = \frac{17}{50}$
Is this the correct answer? (If so, enter yes. If not, enter the correct answer.)

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