Math Made Easy: Your Ultimate HSE/GED/TASC/HiSET Test Guide

Discover the purpose of math through problem solving and critical thinking, linking core GED readiness standards to real-world decisions, such as solving mixed-number division step by step.

Explain the concept, then demonstrate solving a simple problem, a more challenging problem, and a complex problem, noting some complex items may be trick questions in the trick questions lecture.

Learn that math offers multiple paths to a correct answer, but practice choosing the most effective one to save time and avoid negative consequences on timed GED tests.

Develop critical thinking to recognize trick questions, deduce the right answer, and express fractions in lowest terms, as shown by shading 2 of 8 parts to yield 1/4.

Explore common math symbols and multiplication concepts, including 5 times 3 and negative integers. Understand how variables work, with examples like 5x, 5 plus x, and 5 divided by x.

Identify factors and multiples, memorize the multiples of numbers from 1 to 12 up to the 12th multiple, and practice verbalizing them within 30 seconds with a countdown.

Develop lightning-fast recall of basic operations from 1 to 12 by practicing with freerice pre-algebra problems, the multiplication table, and fast division drills to answer in under a second.

Master basic math terms, expressions, and equations; learn inequalities such as less than, greater than, and equal to forms for comparing numbers and decimals like 2.01.

Use placeholders to order decimals from least to greatest by aligning to four decimal places and borrowing for subtraction, then perform addition with placeholders to master decimal operations.

Master place value concepts and rounding rules to accurately round numbers to any place, from tens to thousandths, using the five or more rule and cent/dollar rounding.

Master decimal operations by adding, subtracting, multiplying, and dividing decimals with proper alignment and placeholders, borrowing, and regrouping; learn how to move decimals and verify results with step-by-step examples.

Master the metric system using the King Henry mnemonic to convert between kilo, hecto, deca, deci, centi, and milli, with practical unit conversions and decimal movement.

Explore integers using the money analogy, understand plus and minus signs and invisible zeros as placeholders, and practice basic addition with positive and negative numbers.

Master comparing integers, determining greater, less than, or equal, using a leftward negative-number line, and ordering from greatest to least with dollar-amount examples.

Master adding, subtracting, and multiplying integers by mastering sign rules: same signs yield positive, different signs yield negative; apply to examples like 5 + (-3) and -5 - (-3).

Learn to multiply and divide integers using sign rules, memorize fast facts, and use a shortcut by reducing fractions with the greatest common factor.

Master fraction basics and rules, including proper and improper fractions. Understand mixed numbers, numerator, and denominator, and when fractions are between 0 and 1, greater than 1, or undefined.

Learn to simplify fractions to lowest terms by identifying common factors and using the greatest common factor to divide the numerator and denominator, with rules and examples.

Identify the denominator and shaded portions in charts, determine fraction forms, and simplify to lowest terms or convert to mixed numbers as needed.

Convert improper fractions to mixed numbers and vice versa using division steps, remainders, and whole numbers, with GED requirements favoring mixed numbers and speed through practice.

Solve missing numbers in equal fractions using two methods: a simple product approach by matching factors and algebra with cross-multiplication, yielding x in proportional fractions.

Learn to compare and order fractions using cross multiply, determine equality, handle negatives, and apply least common denominator to sort fractions from least to greatest or vice versa.

Add like fractions with equal denominators, keeping the denominator fixed. Subtract like fractions and simplify to lowest terms using greatest common factor, as shown in 1/9+2/9=1/3 and 5/14-3/14=1/7.

Master adding and subtracting unlike fractions by finding the least common denominator, converting fractions to the same denominator, and performing the arithmetic with examples.

Discover two methods for adding and subtracting mixed numbers with like fractions: convert to improper fractions or add whole numbers first, then combine the fractions.

Master methods for adding mixed numbers with unlike denominators: convert to improper fractions with a least common denominator, or separate and work fractions, then convert back; explore borrowing when subtracting.

Apply cross simplify when multiplying or dividing fractions to reduce using the greatest common factor in the cross corners, then multiply and keep the answer in simplest terms.

Master how to multiply fractions and mixed numbers using cross-cancellation, negatives, and word problems, turning fractions into improper forms for accurate results.

Master dividing fractions using keep change flip, reciprocals, and converting mixed numbers to improper fractions, then multiply across to solve numerical and word problems.

Master converting fractions to decimals and decimals to fractions using long division and bar notation for repeating decimals, with tips for comparing values and placing them on a number line.

Explore ratios, rates, and proportions, and see how a ratio resembles a fraction, then solve proportions by cross multiplication to find missing values.

Learn how percents relate to decimals and fractions, and convert between them by moving the decimal point twice; understand 0% to 100% and examples like 150% equals 1.5.

Memorize the percent formula, and use cross multiplication to solve for the unknown, as in 10% of 25, 20 of 35, and 35% of 42.86.

Compute simple interest using the principal, rate, and time, and see how interest and the total balance are determined through practical bank examples.

Master percent of change using the formula change over original equals percent over 100, and apply it to price markup, increase, and decrease problems.

Explore how x represents the unknown in algebra, with constants, variables, exponents, and the idea of invisible ones and zeros in problems.

Practice translating algebraic phrases into expressions by identifying product, square, root, and sum or difference terms, such as b squared and the square root of z times z.

Practice evaluating algebraic expressions using the order of operations, parentheses, and combining positives and negatives with multiplication and addition, as shown in test-style examples.

Learn to simplify algebraic expressions by combining like terms, recognizing identical variables and invisible ones, and applying the distributive property to integers, constants, and variables.

Explore inverse operations from addition and subtraction to fractions, negatives, and exponents, and learn to balance equations while solving for variables.

Master a step-by-step method for solving multi-step equations by applying the base, reverse, and inverse operations. Practice adding ten, dividing by three, and using fractions and reciprocal to isolate x.

Learn to solve word problems by forming equations with variables. Work through consecutive numbers summing to 84, half-plus-six scenarios, and distributing 301 students across seven buses.

Learn to read simple tables and pictographs, convert apples into counts, and calculate March and April values, counting how many people are not type O when one drop is five.

Master bar, line, and circle graphs with practice problems: eyeball April enrollments, read weekly high temperatures, and estimate percentages from a circle graph, with fractions and basic percent concepts.

Explore how to read and interpret frequency tables using a simple bathroom survey, tallying categories and totals to answer questions about one to four bathrooms.

master mean, median, and mode with simple steps and examples, including odd and even sets, how to find the middle, compute average, and identify when no mode exists.

Interpret line plots and histograms by identifying ranges, counting observations, and navigating trick values on a number line and in tables.

Learn the probability formula: favorable outcomes over total outcomes; convert fractions to percentages with marbles examples like blue (1/4=25%), red (2/4=1/2=50%), and not purple (3/4=75%).

Explore independent and dependent probability using marble draw examples, emphasizing when replacement affects outcomes and how to multiply probabilities to find chances like 2/25 and 1/10.

Explore permutations by counting 12 runners for gold, silver, and bronze with 12×11×10 yielding 1320 possibilities, and apply the multiplication idea to five chairs and five students, yielding 100 combinations.

Explore how combinations relate to permutations with examples of seating four students in four and three seats. Learn to compute four-from-six combinations by dividing 360 permutations by 24, yielding 15.

Apply the fundamental counting principle to determine outfit options by multiplying four shirts, two pants, and three shoes, yielding 24 possible combinations.