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South Africa
5. \( -10+12-8= \) \( -10-9-8-7-6-5-4-3-1 \) \( 6.10-4-8+3-10-9-7-6-5-4-3 \)
Arithmetic Jan 21, 2025
d) \( 18532-6732 \) 7. Use long multiplication to multiply the following and check the answers on your calculator: a) \( 2189 \times 21 \)
Arithmetic Jan 21, 2025
If you flip two coins, what are the possible outcomes for the combined events?
Probability Jan 21, 2025
\( \begin{array}{ll}\text { 2. } & (a+6)(a-1)=0 \\ \text { 4. } & x(x+1)=0 \\ \text { 6. } & x(x+4)=0 \\ \text { 8. } & (x+1)(x+2)(x+3)=0 \\ \text { 10. } & x(2 x-5)(3 x-2)=0 \\ \text { 12. } & x^{2}+5 x+6=0 \\ \text { 14. } & y^{2}+7 y+6=0 \\ \text { 16. } & x(x-1)=6 \\ \text { 18. } & (b-3)(b-2)=12 \\ \text { 20. } & x(x+4)=21 \\ \text { 22. } & x^{2}+2 x-3=12 \\ \text { 24. } & 2(m-1)(m+1)=7(m+2)-1\end{array} \)
Algebra Jan 21, 2025
EXERCISE 2 finderaticot \( Q \) (id) Consider the numbers 24 and 504 . (l) Write both numbers as a product of primes. (2) Is 24 a factor of 504 ? Consider the numbers 72 and 180 . (1) Write both numbers as a product of primes. (2) Is 180 a multiple of 72 ? (c) Determine the highest common factor (HCF) of each of the following lists of numbers: (H) 16;12 (2) \( 13 ; 15 \) (3) \( 14 ; 154 ; 28 \) (4) \( 135 ; 225 ; 315 \) (5) \( 675 ; 1125 \) (6) \( 756 ; 432 \) (7) \( 176 ; 1331 \) (8) \( 125: 352 \) (9) \( 36 ; 45 ; 162 \) (10) \( 36 ; 78: 156 \) (d) Determine the lowest common multiple (LCM) of each of the following lists of numbers: (1) 9:6 (2) \( 8 ; 14 \) (3) \( 2 ; 9 ; 54 \) (4) \( 54 ; 36 \) (5) \( 16 ; 12 \) (6) \( 10 ; 92 ; 115 \) (7) \( 56: 308 \) (8) \( 55 ; 20 ; 154 \) (e) Simplify the fraction \( \frac{1176}{504} \) by using prime factors.
Arithmetic Jan 21, 2025
\( \begin{aligned} \text { 2. } & (a+6)(a-1)=0 \\ \text { 4. } & x(x+1)=0 \\ \text { 6. } & x(x+4)=0 \\ \text { 8. } & (x+1)(x+2)(x+3)=0 \\ \text { 10. } & x(2 x-5)(3 x-2)=0 \\ \text { 12. } & x^{2}+5 x+6=0 \\ \text { 14. } & y^{2}+7 y+6=0 \\ \text { 16. } & x(x-1)=6 \\ \text { 18. } & (b-3)(b-2)=12 \\ \text { 20. } & x(x+4)=21 \\ \text { 22. } & x^{2}+2 x-3=12 \\ \text { 24. } & 2(m-1)(m+1)=7(m+2)-1\end{aligned} \)
Algebra Jan 21, 2025
Write the equation of a line in slope-intercept form with a slope of 3 and a y-intercept of -2.
Algebra Jan 21, 2025
Thefirst three termsjof the sequence \( 6 \mid x ; y ; 16 \) form an arithmetic progression and the last three terms form a geometric progression. 4.1 Determine \( x \) and \( y \). 4.2 State the arithmetic and geometric sequences for each of your solutions.
Algebra Jan 21, 2025
Simplify: \( \frac{3^{2 x}-3^{x}-6}{3^{x}-6} \)
Algebra Jan 21, 2025
Two very large numbers, number \( A \) and number \( B \), are decomposed into prime nomber ollows: number \( A=2^{1000} \times 3^{100} \times 5^{20} \times 7^{3} \) number \( B=2^{2000} \times 3^{50} \times 5^{30} \times 11 \) 1) Write down the HCF of these numbers, as a product of prime factors. 2) Write down the LCM of these numbers, as a product of prime factors.
Arithmetic Jan 21, 2025
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