Mathemalupit

MATH QUIZ MULTIPLYING & DIVIDING MONOMIALS Master the three rules: Product, Quotient, and Negative Exponent! Product Rule (Multiplication) Multiply the coefficients , then ADD the exponents of the same variables. x³ · x&sup4; = x&sup7;  |  (2a²)(3a) = 6a³ Quotient Rule (Division) Divide the coefficients , then SUBTRACT the exponents of the same variables. x&sup5; / x² = x³  |  12m&sup4; / 4m = 3m³ Negative Exponent Rule A negative exponent means the term moves to the denominator and becomes positive. x² = 1 / x²  |  2x³ = 2 / x³ Quick Examples Multiply: (4x²)(3x³) → 12x&sup5; (4×3=12, 2+3=5) Divide: 20a&sup5; / 5a² → 4a³ (20/5=4, 5-2=3) Negative: x&sup4; / x&sup7; → x³ = 1 / x³ (4-7 = -3) Power: (2x³)² → 4x&sup6; (2²=4, 3×2=6) Remember: Same base? Multiply = ADD, Div...

MATH QUIZ ADDING & SUBTRACTING MONOMIALS Learn what monomials and like terms are, then take the quiz! What is a Monomial? A math expression with only one term . It can be a number, a variable, or a number multiplied by variable(s). Examples: 5x, -3y², 8 What are Like Terms? Monomials that have the exact same variables raised to the exact same powers . Only the coefficients can be different! Examples: 4x and 9x Are these Like Terms? 3x² and 7x² LIKE TERMS 5ab and -2ab LIKE TERMS 4x² and 4x NOT LIKE TERMS 3a and 3b NOT LIKE TERMS Golden Rule: You can ONLY add or subtract LIKE TERMS . If they are not like terms, just leave them as they are! How to Add / Subtract Add: 4x + 5x → (4 + 5)x = 9x Subtract: 8y² - 3y² → (8 - 3)y² = 5y² Mix: 3a + 2b - a → (3 - 1)a + 2b = 2a + 2b Tip: Just combine the numbers (coefficients) and keep the variable part the same! Quiz Time! Read caref...

TRANSLATING WORDS KEYWORDS FOR EXPRESSIONS Learn the magic words that turn English into Math! What Does This Mean? In algebra, certain keywords tell you which operation to use. Master these words and you can turn any word problem into an algebraic expression! + Addition Sum Plus More than Increased by Total Added to − Subtraction Difference Minus Less than Decreased by Subtracted from × Multiplication Product Times Of Twice Double Multiplied by ÷ Division Quotient Divided by Half Third Ratio Split into Watch Out! Words with "than" REVERSE the order! "5 less than x" means x − 5, NOT 5 − x "7 more than n" means n + 7, NOT 7 + n Tip: "Subtracted from" also reverses! "3 subtracted from 10" = 10 − 3 Translation Examples "The sum of 4 and x" → 4 + x "5 less than y" → y − 5 (reversed!) "The product of 3 and m" → 3m "Twice a number n, incre...