Practice Problems (Junior Cert Mathematics): Flashcards

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

x=5x = 5

Solve: 5x−9=3x+115x - 9 = 3x + 11

x=10x = 10

Solve: 2x−34=5x+12\frac{2x - 3}{4} = \frac{5x + 1}{2}

x=−58x = -\frac{5}{8}

Method to clear fractions in equations

Multiply both sides by LCM of denominators

Solve by factorizing: x2−5x+6=0x^2 - 5x + 6 = 0

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

Factored form of x2−5x+6x^2 - 5x + 6

(x−2)(x−3)(x - 2)(x - 3)

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

x=12x = \frac{1}{2} or x=−2x = -2

The quadratic formula

x=−b±b2−4ac2ax = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

Two numbers that factor x2−5x+6x^2 - 5x + 6

−2-2 and −3-3

Factorizing x2+bx+cx^2 + bx + c: 2 numbers multiply & add to?

Multiply to cc, add to bb

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