Algebra Class 10

Algebraic Expressions

• Translate algebraic expressions to English expressions and vice versa.
• Simplify algebraic expressions by: • Adding and subtracting algebraic terms. • Multiplying and dividing algebraic terms. • Simplifying terms that are algebraic fractions. • Collecting like terms.
• Evaluate expressions by substituting given values of each pronumeral involved.
• Expand brackets and simplify where necessary.

Algebraic Equations and Inequalities

• Check whether a value is a solution of an equation by substitution.
• Solve linear equations, including those involving: • Brackets. • Algebraic fractions. • Equations with pronumerals on both sides.
• Solve linear inequalities.
• Rearrange formulas to change the subject.
• Solve simultaneous linear equations using: • Elimination method. • Substitution method.
• Solve quadratic equations in the form ax^2 = c.
• Solve problems by forming and solving algebraic equations.

Atoms, Elements, Compounds, and Mixtures

• An atom is the smallest unit of a chemical element that retains the properties of that element.
• An element is a substance that consists of only one type of atom, each with a unique number of protons.
• A compound is a substance formed by the chemical combination of two or more different elements.
• A mixture is a blend of two or more substances, where each substance maintains its chemical properties.

Atomic Structure

• An atom consists of protons, neutrons, and electrons.
• Protons are positively charged particles located in the nucleus (center) of the atom.
• Neutrons are particles with no charge, located in the nucleus along with protons.
• Electrons are negatively charged particles that orbit the nucleus in energy levels or shells.

Atom Identification

• Each element has unique atoms identified by the number of protons in the atomic nucleus.
• The number of protons determines the identity of an atom (i.e., the name of the element).
• Given the number of protons or electrons, the element can be identified.

Bohr Model

• The Bohr Model is a model of the atom that consists of a nucleus (protons and neutrons) surrounded by energy levels or shells of electrons.
• The nucleus is positively charged, while the electrons are negatively charged.

Ions and Ionic Compounds

• An ion is an atom or molecule with a charge due to the loss or gain of electrons.
• The periodic table can be used to calculate the charge on ions.
• Ionic compounds are formed when ions with opposite charges combine.
• Examples of common ionic compounds include:
  • Sodium chloride (NaCl)
  • Calcium carbonate (CaCO3)
  • Aluminum oxide (Al2O3)

Atoms, Elements, Compounds, and Mixtures

• An atom is the smallest unit of a chemical element that retains the properties of that element.
• An element is a substance that consists of only one type of atom, each with a unique number of protons.
• A compound is a substance formed by the chemical combination of two or more different elements.
• A mixture is a blend of two or more substances, where each substance maintains its chemical properties.

Atomic Structure

• An atom consists of protons, neutrons, and electrons.
• Protons are positively charged particles located in the nucleus (center) of the atom.
• Neutrons are particles with no charge, located in the nucleus along with protons.
• Electrons are negatively charged particles that orbit the nucleus in energy levels or shells.

Atom Identification

• Each element has unique atoms identified by the number of protons in the atomic nucleus.
• The number of protons determines the identity of an atom (i.e., the name of the element).
• Given the number of protons or electrons, the element can be identified.

Bohr Model

• The Bohr Model is a model of the atom that consists of a nucleus (protons and neutrons) surrounded by energy levels or shells of electrons.
• The nucleus is positively charged, while the electrons are negatively charged.

Ions and Ionic Compounds

• An ion is an atom or molecule with a charge due to the loss or gain of electrons.
• The periodic table can be used to calculate the charge on ions.
• Ionic compounds are formed when ions with opposite charges combine.
• Examples of common ionic compounds include:
  • Sodium chloride (NaCl)
  • Calcium carbonate (CaCO3)
  • Aluminum oxide (Al2O3)