Unit 5 exam Flashcards by ruby m

What is the general form of a linear function?

y = mx + b

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True or False: The graph of a quadratic function is a straight line.

False

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What does the ‘m’ represent in the equation y = mx + b?

The slope of the line

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Sketch the graph of y = x^2.

A U-shaped curve opening upwards.

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What is the y-intercept of the function y = 3x + 2?

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Sketch the graph of y = |x|.

A V-shaped graph opening upwards.

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What is the effect of changing ‘b’ in the equation y = x^2 + b?

It shifts the graph up or down.

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Multiple choice: Which of the following is a characteristic of a linear graph? A) Curved B) Straight C) Circular D) None of the above

B) Straight

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True or False: The graph of a function can intersect the x-axis at more than two points.

False for quadratics

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What is the slope of the line represented by the equation y = -4x + 1?

-4

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Sketch the graph of y = 2x + 3.

A straight line with a slope of 2 and y-intercept of 3.

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What is the formula to calculate the distance between two points (x1, y1) and (x2, y2)?

d = √((x2 - x1)² + (y2 - y1)²)

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Fill in the blank: A function is _____ if it passes the vertical line test.

a valid function

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What is the difference between ‘discrete’ and ‘continuous’ data?

Discrete data can only take specific values, while continuous data can take any value within a range.

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Sketch the graph of y = -x + 5.

A straight line with a negative slope intersecting the y-axis at 5.

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What is the purpose of a graphing calculator?

To visualize functions and perform complex calculations.

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True or False: All quadratic functions have two real roots.

False

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Fill in the blank: The graph of a function must be _____ to be considered a function.

a vertical line test

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How do you determine whether a quadratic opens upwards or downwards?

By the sign of ‘a’ in the equation y = ax^2 + bx + c; if ‘a’ > 0, it opens upwards.

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Sketch the graph of y = 3x^2 - 2x + 1.

A parabola that opens upwards with its vertex above the x-axis.

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What is the formula for the slope between two points?

m = (y2 - y1) / (x2 - x1)

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True or False: The y-intercept of a linear equation can be negative.

True

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What is the primary use of the quadratic formula?

To find the roots of a quadratic equation.

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What does ‘b’ represent in the slope-intercept form y = mx + b?

The y-intercept.

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What is the probability of an event?

The probability of an event is a measure of the likelihood that the event will occur, expressed as a number between 0 and 1.

True or False: The sum of probabilities of all possible outcomes in a probability space equals 1.

True

Fill in the blank: The probability of an event A is calculated using the formula P(A) = _____.

Number of favorable outcomes / Total number of outcomes

What is the probability of rolling a 4 on a fair six-sided die?

1/6

What is a complementary event?

A complementary event is the event that encompasses all outcomes not included in the event itself.

If the probability of event A is 0.3, what is the probability of the complementary event A'?

0.7

What does it mean if two events are independent?

Two events are independent if the occurrence of one does not affect the occurrence of the other.

Calculate the probability of flipping a coin and getting heads.

1/2

What is the formula for calculating speed?

Speed = Distance / Time

If a car travels 150 km in 3 hours, what is its speed?

50 km/h

True or False: Speed can be negative.

False

Fill in the blank: The unit of speed in the metric system is _____.

meters per second (m/s)

What is the speed of a cyclist who travels 20 km in 1 hour?

20 km/h

If a train travels at a speed of 80 km/h for 2 hours, what distance does it cover?

160 km

Define 'average speed'.

Average speed is the total distance traveled divided by the total time taken.

What is the formula for calculating time when distance and speed are known?

Time = Distance / Speed

If you run 10 km in 50 minutes, what is your speed in km/h?

12 km/h

What is the probability of drawing a red card from a standard deck of 52 playing cards?

1/2

True or False: The probability of an impossible event is 0.

True

What is the combined probability of two independent events A and B occurring?

P(A and B) = P(A) * P(B)

What is symmetry in geometry?

Symmetry is when one shape becomes exactly like another if you flip, slide, or turn it.

True or False: A line of symmetry divides a shape into two identical parts.

True

What is the formula to solve simultaneous equations?

The formula depends on the method used (substitution, elimination, etc.), but the goal is to find the values of the variables that satisfy both equations.

Fill in the blank: The angle sum of a triangle is ____ degrees.

180

What is the exterior angle theorem?

The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

If two angles are vertical angles, what is true about them?

Vertical angles are always equal.

What are the angles in a straight line?

The angles on a straight line sum to 180 degrees.

What is the conversion of 1 meter into centimeters?

1 meter is equal to 100 centimeters.

True or False: The sum of angles in a quadrilateral is 360 degrees.

True

What is the formula for the area of a triangle?

Area = 1/2 × base × height

If x + y = 10 and x - y = 2, what is the value of x?

x = 6

What is the conversion factor from kilometers to meters?

1 kilometer is equal to 1000 meters.

Fill in the blank: A right angle measures ____ degrees.

What is a complementary angle?

Two angles that add up to 90 degrees.

What is the sum of the interior angles of a pentagon?

540 degrees

If 3x + 2 = 11, what is the value of x?

x = 3

What is the formula for the circumference of a circle?

Circumference = 2πr, where r is the radius.

True or False: The diagonals of a rectangle bisect each other.

True

What is the conversion of 1 liter into milliliters?

1 liter is equal to 1000 milliliters.

What type of angles are formed when two lines intersect?

Vertical angles and adjacent angles.

What is the relationship between complementary and supplementary angles?

Complementary angles sum to 90 degrees, while supplementary angles sum to 180 degrees.

If the angles of a triangle are 50 degrees and 60 degrees, what is the third angle?

70 degrees

What is the method of substitution in solving simultaneous equations?

Solve one equation for one variable and substitute that expression into the other equation.

Fill in the blank: The opposite angles of a parallelogram are ____.

equal

What is the formula for converting Fahrenheit to Celsius?

C = (F - 32) × 5/9

What do you call an angle greater than 90 degrees but less than 180 degrees?

Obtuse angle

Unit 5 exam Flashcards

(70 cards)