Practice Problems (Junior Cert Mathematics): Quizzes

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What is the solution to 3x+7=223x + 7 = 22?

x=5x = 5

What is the first step to solve 5x−9=3x+115x - 9 = 3x + 11?

Subtract 3x3x from both sides

What is the solution to 5x−9=3x+115x - 9 = 3x + 11?

x=10x = 10

To clear fractions in 2x−34=5x+12\frac{2x - 3}{4} = \frac{5x + 1}{2}, multiply both sides by what?

4

What is the solution to 2x−34=5x+12\frac{2x - 3}{4} = \frac{5x + 1}{2}?

x=−58x = \frac{-5}{8}

For factorizing x2−5x+6=0x^2 - 5x + 6 = 0, which two numbers multiply to 6 and add to −5-5?

−2-2 and −3-3

What is the factorized form of x2−5x+6=0x^2 - 5x + 6 = 0?

(x−2)(x−3)=0(x - 2)(x - 3) = 0

What are the solutions to x2−5x+6=0x^2 - 5x + 6 = 0?

x=2x = 2 and x=3x = 3

For 2x2+3x−2=02x^2 + 3x - 2 = 0, what are the coefficients aa, bb, and cc?

a=2a = 2, b=3b = 3, c=−2c = -2

What is b2−4acb^2 - 4ac for 2x2+3x−2=02x^2 + 3x - 2 = 0?

25

What are the solutions to 2x2+3x−2=02x^2 + 3x - 2 = 0 using the quadratic formula?

x=12x = \frac{1}{2} and x=−2x = -2

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