G7 Term 1 Chapter 1-5
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Questions and Answers

Which classification of triangle has all sides of unequal length?

  • Right-angled triangle
  • Equilateral triangle
  • Isosceles triangle
  • Scalene triangle (correct)

    • What is the result of performing the operation -3 - (+5)?

  • -2
  • -8 (correct)
  • 8
  • 2

    • Which equation correctly represents the addition of a negative and positive number?

  • 4 + (-6) = 10
  • 4 + (-6) = -2 (correct)
  • 4 + (+6) = -2
  • 4 + (+6) = 10

    • What is the geometric property of two lines that are parallel?

    <p>They are equidistant from each other at all points.</p> Signup and view all the answers

    What is the sum of the interior angles of any triangle?

    <p>180 degrees</p> Signup and view all the answers

    What is the result when multiplying two negative numbers, -2 and -4?

    <p>8</p> Signup and view all the answers

    Which type of triangle contains one angle that is greater than 90 degrees?

    <p>Obtuse-angled triangle</p> Signup and view all the answers

    Which of the following operations results in a negative value?

    <p>(+4) ÷ (-2)</p> Signup and view all the answers

    How are perpendicular lines defined in geometry?

    <p>Lines that intersect at a right angle.</p> Signup and view all the answers

    What is the correct result of (-8) + (-3)?

    <p>-11</p> Signup and view all the answers

    Which of the following is an example of a proper fraction?

    <p>$ rac{4}{5}$</p> Signup and view all the answers

    What is the result of reducing the fraction $ rac{36}{48}$?

    <p>$ rac{3}{4}$</p> Signup and view all the answers

    What is the decimal equivalent of the fraction $ rac{7}{20}$?

    <p>0.35</p> Signup and view all the answers

    Which of the following expressions shows the correct conversion of $0.75$ into a fraction?

    <p>$ rac{15}{20}$</p> Signup and view all the answers

    How would you set up the problem $( rac{3}{4} + 0.5) imes 2$?

    <p>$ rac{3}{4} + rac{1}{2}$</p> Signup and view all the answers

    What is a characteristic of a point in geometry?

    <p>It represents a location without shape or size.</p> Signup and view all the answers

    Which of the following statements correctly describes a line?

    <p>It can be extended in both directions infinitely.</p> Signup and view all the answers

    What is the value of $a$ in the equation $3a + 2a = 10$?

    <p>2</p> Signup and view all the answers

    Which angle type is defined as an angle equal to 180°?

    <p>Straight angle</p> Signup and view all the answers

    Which of the following correctly represents the first step in solving the expression $2(x - 3) = 5x$?

    <p>$2x - 6 = 5x$</p> Signup and view all the answers

    If an angle measures 30°, what type of angle is it classified as?

    <p>Acute angle</p> Signup and view all the answers

    When eliminating denominators in the equation $ rac{m}{2} - rac{m}{3} = 1$, what is the common multiplier used?

    <p>6</p> Signup and view all the answers

    What is the sum of angles ∠AOB and ∠BOC if ∠AOB = 18° and ∠BOC = 42°?

    <p>60°</p> Signup and view all the answers

    If ∠AOD is a right angle, what is the measure of ∠COD if ∠AOC = 60°?

    <p>30°</p> Signup and view all the answers

    If x represents the number of bottles of tea, what equation would you set up to express the total number of bottles Kathy bought?

    <p>$x + (27 - x) = 27$</p> Signup and view all the answers

    Which of the following best describes a plane in geometry?

    <p>It contains an infinite number of lines and can be extended indefinitely.</p> Signup and view all the answers

    After finding $x = 9$ for the number of bottles of tea, what is the total value of tea purchased by Kathy?

    <p>$72</p> Signup and view all the answers

    What type of angle measures greater than 90° but less than 180°?

    <p>Obtuse angle</p> Signup and view all the answers

    Which of the following scenarios illustrates a multiple of 12?

    <p>24</p> Signup and view all the answers

    Identify the prime factors of 30.

    <p>2, 3, 5</p> Signup and view all the answers

    Which of the following numbers is classified as a composite number?

    <p>15</p> Signup and view all the answers

    What is the highest common factor (HCF) of the numbers 24 and 36?

    <p>12</p> Signup and view all the answers

    Express the number 420 as a product of its prime factors in index notation.

    <p>$2^1 imes 3^1 imes 5^1 imes 7^1$</p> Signup and view all the answers

    What is the final result of the expression 8 + {3 × [2 + (4 × 2)]}?

    <p>28</p> Signup and view all the answers

    If 54 is divided by 6, which of the following statements is true regarding the quotient?

    <p>The quotient is an even number.</p> Signup and view all the answers

    Which of the following expressions involves both addition and multiplication, resulting in a value of 22?

    <p>3 + 2 × 7</p> Signup and view all the answers

    What is the result of the expression 15 - (3 × (2 + 1))?

    <p>12</p> Signup and view all the answers

    If a natural number A is divisible by 4, which of the following conditions must A meet?

    <p>A must be even.</p> Signup and view all the answers

    Which type of angle is characterized by being greater than 90° but less than 180°?

    <p>Obtuse angle</p> Signup and view all the answers

    What classification applies to a triangle with exactly two sides of equal length?

    <p>Isosceles triangle</p> Signup and view all the answers

    Which term describes a polygon that has both equal side lengths and equal interior angles?

    <p>Regular polygon</p> Signup and view all the answers

    What defines a concave polygon from other types of polygons?

    <p>At least one interior angle is greater than 180°</p> Signup and view all the answers

    What is the measure of a straight angle?

    <p>180°</p> Signup and view all the answers

    What defines a regular polygon?

    <p>Both equilateral and equiangular.</p> Signup and view all the answers

    Which of the following statements about concave polygons is true?

    <p>At least one interior angle is greater than 180°.</p> Signup and view all the answers

    What is the relationship between the radius and diameter of a circle?

    <p>The diameter is twice the length of the radius.</p> Signup and view all the answers

    Which characteristic distinguishes a triangular prism from other polyhedra?

    <p>It has two parallel triangular bases.</p> Signup and view all the answers

    What is a cross-section in geometric terms?

    <p>The intersection of a three-dimensional shape with a plane.</p> Signup and view all the answers

    What is the result of simplifying the expression 4b - 2b + 3b?

    <p>5b</p> Signup and view all the answers

    If the general term of a sequence is represented by $a_n = 2n + 3$, what is the value of the term when n = 5?

    <p>13</p> Signup and view all the answers

    Which of the following sequences has a common difference of +3?

    <p>1, 4, 7, 10,...</p> Signup and view all the answers

    If l = 7 and w = 2 in the formula $P = 2(l + w)$, what is the perimeter P?

    <p>16</p> Signup and view all the answers

    What is the third term of the triangular number sequence?

    <p>6</p> Signup and view all the answers

    Study Notes

    Algebraic Expressions

    • Represent operations (+, ×, ÷) on numbers and unknowns
    • Examples: 2a + 3, x-y/5, 6(4-y)
    • Can be simplified by combining like terms: 3a + a - 2a = 2a

    Formulae and Substitution

    • Express relationships between variables (like perimeter of a rectangle: P = 2(l + w))
    • To find an unknown value, substitute known values into the formula (l=5, w=4, then P = 2(5 + 4) = 18)

    Sequences

    • Ordered lists of numbers where each number is a term

    • Examples:

      • Odd numbers: 1, 3, 5, 7, 9... (difference of +2)
      • Even numbers: 2, 4, 6, 8, 10... (difference of +2)
      • Square numbers: 1, 4, 9, 16...
      • Triangular numbers: 1, 3, 6, 10...

    • Formulas can represent the general term of a sequence (finding the 3rd term of a sequence with a general term of 4n-1: a3 = 4(3)-1=11)

    • Formulas with a value of n can calculate the term's value, this is sometimes referred to as a function of n

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    Description

    This quiz covers essential concepts in algebra, including operations with expressions, the use of formulae for substitution, and understanding sequences. Test your knowledge on simplifying expressions, applying formulae to find unknowns, and identifying patterns in number sequences. Perfect for students needing a review before exams!

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