Thur Dec 12 2024: Jump starter Block 2& 3

Front

What are the exponent rules?

Back

1. Product of Powers: a^m * a^n = a^(m+n) 2. Power of a Power: (a^m)^n = a^(m*n) 3. Power of a Product: (ab)^n = a^n * b^n 4. Quotient of Powers: a^m / a^n = a^(m-n) 5. Zero Exponent: a^0 = 1 (a ≠ 0) 6. Negative Exponent: a^(-n) = 1/a^n.

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Back

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

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Back

Front

How do you find the slope of a line given two points?

Back

Use the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

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What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

Write the equation in slope-intercept form for the line that passes through the point (2,-7) and is parallel to the line y=x-2.

Back

Front

What is the product of powers rule?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

What is the power of a power rule?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the power of a product rule?

Back

When raising a product to a power, raise each factor to the power: (ab)^n = a^n * b^n.