Algebra

Algebra Warmups

Algebra Warmups: Level 2 Challenges

         

Evaluate the following expression:

1234567892−(123456788×123456790).123456789^{2} - (123456788 \times 123456790).

If you use a calculator whose precision is not strong enough to answer this question, then you will answer this problem incorrectly.

Wenn Chuaan Lim by Wenn Chuaan Lim

66+66+66+66+66+66=6a \large\color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} + \color{#20A900} 6^{\color{#3D99F6} 6} = \color{#20A900}6^ {\color{#624F41}a}

If a\color{#624F41} a satisfies the equation above, what is the value of a\color{#624F41} a?

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Adrian Gonzalez by Adrian Gonzalez

What is the value of

1% ? \large \sqrt{1\text{\%}}\, ?

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Heder Oliveira Dias by Heder Oliveira Dias

123+126+129+⋯= ? \large \frac { 1 }{ { 2 }^{ 3 } } +\frac { 1 }{ { 2 }^{ 6 } } +\frac { 1 }{ { 2 }^{ 9 } } + \cdots = \, ?

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K. J. W. by K. J. W.

If 7 cows need 7 days to eat 7 grass fields, how many days would it take for 5 cows to eat 5 grass fields?

Viri Yanto by Viri Yanto
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