ALEKS TEST Exam with verified solutions 2024

Real numbers numbers we use everyday Integers both real and negative numbers Polynomials basic math concept, only concepts like addition, subtraction, multiplication and real number based exponents are used Order of Operations (PEMDAS) Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction adding or subtracting 2 fractions first multiply the denominators, then multiply the denominator of one fraction by the numerator of the other fraction, ( for both). then add or subtract the sums. adding or subtracting 3 fractions first find a common denominator. ( if its not obvious, multiply all together). Then multiply the numerator of each fraction by the number needed to get the denominator to its common number. then add or subtract the numerators together. Multiplying Fractions multiply the numerators and multiply the denominators. multiplying large number fractions break the numbers down into smaller multiplication problems. then cancel out common numbers. what is left is your answer dividing fractions (2) "keep change flip". keep the first fraction, change the sign to multiplication and flip the second fraction. ( fractions can be reduced into smaller multiplication problem and cancelled out, to find the smallest sum. divide a whole number by a fraction make the whole number a fraction by adding 1 as a denominator . " keep change flip" converting an improper fraction to a mixed number divide the denominator into the numerator to get a whole number. write the remainder over the denominator as a fraction. converting a mixed number into an improper fraction multiply the denominator and the whole number, then add the numerator. put the sum over the denominator. adding mixed numbers add whole numbers. then add fractions by finding common denominators. subtracting mixed numbers subtract whole numbers. then subtract fractions by finding common denominators. if the remaining fraction is a negative number, barrow one from the whole numbers, and then subtract Multiplying mixed numbers Change to an improper fraction and multiply; then change the answer, if in improper form, back to a mixed number and reduce if necessary. Example: 3 1/3 x 2 1/4 = 10/3 x 9/4 = 90/12 = 7 6/12 = 7 1/2` dividing mixed numbers Change fractions to improper fractions, rewrite as a multiplication problem, multiply then SIMPLIFY converting a fraction into a decimal Divide numerator by denominator 1/2 .05 1/3 .3333 1/4 0.25 1/5 .2 1/8 .125 1/10 0.1 1/20 .05 converting common fractions into decimals. rewrite the equation as a whole number plus a fraction. then simplify the fraction into the numerator multiplied by 1 over the denominator. convert the fraction to a decimal. and then multiply the decimal by the original numerator. then add it to the whole number converting a percentage into a decimal move the decimal point over 2 units to the left converting decimal to a percentage move the decimal point over 2 units to th