Boost Your Pre-Algebra Skills with Examples and Solutions

High School
Algebra
Pre-Algebra

If repetitions are not permitted (a) how many 3 digit number can be formed from the six digits 2,3,5,6,7 and 9? (b) how many of these are less than 400? (c) how many are even? (d) how many are odd? (e) how many are multiples of 5?

smileycellist2 2021-08-01

Determine the lowest common multiple (LCM) and the highest common factor (HCF) of the following algebraic terms by using prime factors:
$22 a^{5} b^{3} c^{2} . 2 a^{4} b^{4} c^{3} . 4 a^{2} b^{2} c^{5}$

Wierzycaz 2021-07-31

$U =$ the set of natural numbers between 10 and 20
$A =$ Even Numbers
$B =$ Multiples of 3 where the number is less than 18.
$C =$ Composite numbers
Find $n ((A U B) \cap C)$

Brennan Flores 2021-07-31

Write as the sum and\or difference of logarithms. Express powers as factors.
$\log_{4} (\frac{x + 6}{x^{7}})$
A. $\log_{4} (x + 6) - \log_{4} x$
B. $7 \log_{4} x - \log_{4} (x + 6)$
C. $\log_{4} (x + 6) - 7 \log_{4} x$
D. $\log_{4} (x + 6) + 7 \log_{4} x$

cistG 2021-07-31

To solve the given equation for x.
Given equation: $\log_{5} (x^{2} - 5 x + 6) - \log_{5} (x - 2) = 1$

remolatg 2021-07-31

A number that has exactly 2 factors (1 and itself) a called a _______ number
1) factors
2) prime
3) composite
4) multiplication

BolkowN 2021-07-31

To solve:
The equation $4 \cos θ \sin θ + 3 \cos θ = 0$

DofotheroU 2021-07-31

Find the least common multiple by listing multiples: 20 and 30.

Lewis Harvey 2021-07-31

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2,3,4,5,6 and 10.
Given: 900

CMIIh 2021-07-31

$1 = a x + b y$ , for all integers x and y
$1 = a x + b y$ , for some integers x and y
$1 = a x + b y$ , for unique integers x and y
All the above

tabita57i 2021-07-30

$U =$ the set of natural numbers between 10 and 20
$A =$ Even numbers
$B =$ Multiples of 3 where the number is less than 18.
$C =$ composite numbers
Find $(A^{'} U C) - B$

pancha3 2021-07-30

In the following exercises, list all the multiples less than 50 for the given number.
9

melodykap 2021-07-30

The simplest form of the expression, $\sqrt[3]{40 x^{4} y^{7}}$

BenoguigoliB 2021-07-30

In the following exercises, determine if the given number is prime or composite.
119

Elleanor Mckenzie 2021-07-30

Exercise 1: Counting binary strings.
Count the number of binary strings of length 10 subject to each of the following restrictions.
There is only one binary string of length ten with no 1's: 00000000000. There are $2^{10}$ binary strings of length ten. Therefore the number of binary strings of length ten with at least one 1 is $2^{10} - 1$ .
(b) The string has at least one 1 and at least one 0.
(c) The string contains exactly five 1's or it begins with a 0.

Exercise 2: Counting integer multiples.
(b) How many integers in the range 1 through 140 are integer multiples of 2, 5, or 7?

Sinead Mcgee 2021-07-30

a) Using the remainder theorem, determine whether $(x - 4)$ and $(x - 1)$ are factors of the expression $x^{3} + 3 x^{2} - 22 x - 24$ .
b) Hence, by use of long division, find all remaining factors of the expression.

Khadija Wells 2021-07-01

State whether the function is discrete or continuous. $\frac{y}{4}$ , where x is the number of hours and y is the miles walked

Chesley 2021-07-01

A cd that has a price of $15.50 is on sale at a 25% discount.what is sale price with 6.5 tax?

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