El documento presenta cuatro gráficas de funciones lineales, y = -4x, y = -2x, y = -x y y = -x, mostrando sus ecuaciones, dominios e interceptos con el eje y.
El documento presenta cuatro gráficas de funciones lineales, y = -4x, y = -2x, y = -x y y = -x, mostrando sus ecuaciones, dominios e interceptos con el eje y.
This document is a test on matrix learning outcomes for topics 1-3 about matrices. For topic 1, the student is asked to find matrix BA - 2 and the transpose of matrix BA. For topic 2, the student must calculate the determinant, inverse, and multiplication of various matrices. For topic 3, the student must use matrices to solve systems of linear equations, finding values for x + y + z and solving a 2x2 system.
The document contains 29 math problems involving polynomial multiplication and division. Students are asked to calculate the products and quotients of polynomials such as (a3 - 3b), (-9x)(-12xy + 5), and (4mn)(5m2n + 6mn2). They are also asked to perform division of polynomials like 18x5 ÷ 9, (-13p5q3) ÷ (-13p2q), and (-15ab4 + 3a2b2 - 21b3) ÷ 3b2. The problems cover a range of operations with monomials and polynomials of varying degrees.
This document provides 10 problems involving adding and subtracting monomials and polynomials. The problems direct the reader to calculate the sum or difference of monomial or polynomial expressions such as 5xy + 7xy - 3xy or 18p3q4 - (-5p3q4) + 10p3q4. The document lists the problems without showing the step-by-step work or final answers.
The document appears to be a worksheet in Thai for students to practice properties of exponents. It contains 20 problems where students are asked to simplify expressions involving exponents and write their answers in the provided blanks. Some example expressions include (ab)–5, 25a3b–6, (a–3b2)–3, and {(7n)–2 × (14n)6} ÷ (128 × 74)n. The worksheet is intended to help students practice simplifying exponential expressions and working with positive and negative exponents.
The document is a math worksheet in Thai that provides examples of exponent operations with positive exponents to solve. It contains 10 problems involving operations like multiplication, division, and raising numbers and variables to positive exponent powers. The student is asked to solve each problem by writing the expression in exponent form.
The document provides 10 problems to calculate products of numbers raised to positive integer powers. For each problem, spaces are provided to write the calculated results. The document appears to be a Thai language practice worksheet on calculating products of numbers raised to powers, as it is titled "Practice worksheet on calculating products of numbers raised to positive powers". It provides name, class and student number fields at the bottom.
1. กรณีที่ 1 a > 0 และ b = 0
ตัวอย่างที่ 1 จงเขียนกราฟของสมการ y = 4x, y = 2x, y = x และ y = x
y = 4x y = 2x
y = x y = x
1
3
x – 1 0 1
y – 4 0 4
x – 1 0 1
y – 2 0 2
x – 1 0 1
y – 1 0 1
x – 3 0 3
y – 1 0 1
1
3
2. กรณีที่ 2 a > 0 และ b 0
ตัวอย่างที่ 2 จงเขียนกราฟของสมการ y = x + 1, y = 3x + 2, y = 3x – 1 และ y = 3x – 3
y = x + 1 y = 3x + 2
y = 3x – 1 y = 3x – 3
1
3
x – 3 0 3
y 0 1 2
x – 1 0 1
y – 1 2 5
x – 1 0 1
y – 4 – 1 2
x – 1 0 1
y – 6 – 3 0
1
3
