Higher Algebra Knowledge

Higher Algebra

Test your skills on higher concepts in college algebra. All questions should be answerable without a calculator.

Question Title

* 1. In the linear equation y=mx+b the y-intercept is when

b=0

y=0

The vertex is negative.

The slope is zero.

Rise over run.

The function crosses the x-axis.

The function crosses the y-axis.

The function crosses the m-axis.

The function reaches an asymptote.

None of the above.

Question Title

* 2. In the linear equation y=mx+b the slope is

When m=0

When the function crosses the x-axis.

The function crosses the y-axis.

Run over rise.

Rise over run.

When y=b

When x is negative.

When y is negative.

None of the above.

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* 3. True of false: y=2x²+5 is a linear equation.

True

False

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* 4. True or false: the parabola for the equation 3x²-9x-11 opens upward.

True

False

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* 5. The equation x³-3x+1 has how many roots?

None

1 real root and 1 imaginary root

2 real roots and 1 imaginary root

1 real root and 2 imaginary roots

3 imaginary roots

None of the above.

Not enough information.

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* 6. What is a quadratic equation?

An equation with a leading coefficient of 2.

An equation with order (highest exponent) of 2.

An equation with a leading coefficient of 4.

An equation with order (highest exponent) of 4.

A linear equation with slope of 2.

A linear equation with slope of 4.

An equation with four roots.

An equation with zero roots.

An equation that cannot be factored.

An equation that can be factored four times.

None of the above.

Not enough information.

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* 7. FOIL: (x+1)(x-1)(x+2)

x²+4x-4

x³+2x²-2x+1

(x+1)²(x+2)

-2x³-2x²-2x-2

x³+2x²-x-2

x³-2x²-x+2

x⁴-4

x³-3

None of the above.

Question Title

* 8. Factor: 5x³+15x²-50x

x³+3x²-5x

5x(x²+3x-10)

(x+5)(x-15)(x+50)

5x(x+5)(x-2)

5x²+15x-50

(x+3)(x-5)(x+5)

(x-3)(x-5)(x+5)

(x+3)(x-5)(x+25)

(x-3)(x-5)(x-25)

None of the above.

Cannot be factored.

Question Title

* 9. True or false: the vertex of a parabola is always the highest point.

True

False