Algebra

Determine the value of the following expression, given that x = 11:

x² + 5x - 2

• 174

• 173

• 147

• 95

Determine the solution for the following inequality:

6(7𝒂 + 4𝒃) ≤ 18 + 2(21𝒂 - 3)

• 𝒃 ≥ 2

• 𝒃 > 2

• 𝒃 ≤ 2

• 𝒃 ≤ 0,5

Which result will we obtain if we factorise the following expression?

16ab² + 8a²b

• 8ab(2b + a)

• 4(4a²b + ba²)

• 2(8a²b + ab²)

• 16ab²(2a + 1)

• 1/17𝑧

• 𝑧²/17

• 𝑧/17

• 𝑧/17𝑧

Given the following simultaneous equations, solve for 𝒙 and 𝒚.

2𝒙 + 3𝒚 = -13

4𝒙 + 2𝒚 = 2

• 𝒙 = -4

  𝒚 = -3

• 𝒙 = 4

  𝒚 = -7

• 𝒙 = 3

  𝒚 = -4

• 𝒙 = -3

  𝒚 = 4

• 𝑧 = 629

• 𝑧 = 37/17

• 𝑧 = 17/37

• 𝑧 = 2,18

If the cost of producing each unit of a good is R37,50, which of the following

formulae will give the total cost (y) of producing z units of the good?

• 𝑧 = 37.5𝑦

• 𝑦 = 37.5𝑧

• 12.5𝑧 + 1 = 37.5𝑦

• 𝑦 = 12.5𝑧 + 10

• a = bM/(c + y)

• a = y - (bM/c)

• y = a - (bM/c)

• a = (bM/c) - y

What will be the final result of simplifying the following:

93 x 4 + (393 - 142) ÷ 5³ - 12

• 362

• -362

• 177,44

• -186

Determine the solution for the following inequality:

5(6𝒙 + 2) + 27 ≤ 𝒚 + 3(12 + 10𝒙)

• 𝑥 ≤ 5

• 𝒚 ≥ 1

• 𝒚 < -1

• 𝑥 > -1