Practice Problems (Junior Cert Mathematics): Flashcards

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Solve: 3x+7=223x + 7 = 22

x=5x = 5

Solve: 5x9=3x+115x - 9 = 3x + 11

x=10x = 10

Solve: 2x34=5x+12\frac{2x - 3}{4} = \frac{5x + 1}{2}

x=58x = \frac{-5}{8}

Solve by factorizing: x25x+6=0x^2 - 5x + 6 = 0

x=2x = 2 or x=3x = 3

Solve using quadratic formula: 2x2+3x2=02x^2 + 3x - 2 = 0

x=12x = \frac{1}{2} or x=2x = -2

Quadratic formula

x=b±b24ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Factorise: x25x+6x^2 - 5x + 6

(x2)(x3)(x - 2)(x - 3)

Two numbers that multiply to +6 and add to -5

2-2 and 3-3

For 2x2+3x2=02x^2 + 3x - 2 = 0, values of aa, bb, cc

a=2a = 2, b=3b = 3, c=2c = -2

How to clear fractions in equations?

Multiply by least common multiple of denominators

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