Linear Relationship
In the equation (y = -2x + 5), what number represents the slope?
(-2)
If two angles of a triangle add up to 110 degrees, what is the measure of the third angle?
70 degrees (since all angles in a triangle add up to 180 degrees)
Simplify the expression: (x^3 times x^5\)
x to the power 8
What is \(1.2 \times 10^{25}\) kilograms?
What is 5,200
This is the output value (or \(y\)-value) for the function \(y = 3x + 2\) when the input value (\(x\)) is equal to 4.
What is 14
What is the y-intercept of the line (y = 3x + 7)?
7 (or (0, 7)
A right triangle has legs that measure 3 inches and 4 inches. How long is the hypotenuse?
5 inches (using (a^2 + b^2 = c^2)
Simplify the expression: (2x^4)^3)
8x^{12} (cube the coefficient and multiply the exponents)
This is the answer when you divide \((8 \times 10^6) \div (2 \times 10^2)\).
What is \(4 \times 10^4\)
This type of relationship between two quantities forms a straight line when plotted on a graph.
What is a linear function? (Or What is a linear relationship?)
A line has a slope of (-5) and a y-intercept of (2). What is its equation in slope-intercept form?
(4) (since slope is change in (y) divided by change in (x), or (12/3)
What is the volume of a cylinder with a radius of 2 cm and a height of 5 cm? Leave your answer in terms of pi.
(20 pie cm^3) (using (V = pie r^2 h)
Rewrite (5x^{-2}) using only positive exponents.
5/x^2
The weight of the Earth is about \(6 \times 10^{24}\) kilograms. This is the weight of a new planet that is exactly twice as heavy as Earth.
What is \(1.2 \times 10^{25}\) kilograms
This is the slope (or rate of change) of the linear function shown in this equation: \(y = -5x + 8\).
What is -5
What is the x-intercept of the line (2x + 4y = 12)?
(6) (or (6, 0), found by plugging in (0) for (y)
Two parallel lines are cut by a transversal. If angle A and angle B are alternate interior angles, and angle A is 45 degrees, what is the measure of angle B?
45 degrees (alternate interior angles are equal)
Simplify the expression: 12x^{7} over 3x^{7}
(4) (the (x^{7} terms cancel out because any non-zero number to the power of 0 is 1)
This is the standard decimal number for \(6.1 \times 10^{-5}\).
What is 0.000061
This is the specific term for the point where a graph crosses the vertical \(y\)-axis, which happens when the value of \(x\) is exactly zero.
What is the \(y\)-intercept
What is the equation of a line that is parallel to (y = 3x - 1) and passes through the point (1, 5)?
y=3x+2
What is the distance between the points (1, 2) and (4, 8) on a coordinate plane? Leave your answer in simplest radical form.
45 squared
Multiply (2 times 10^4) by (6 times 10^3) and write the answer in correct scientific notation.
(1.2 times 10^8) (since (12 times 10^7) must be rewritten)
A small text file uses \(4 \times 10^3\) bytes of data. A high-quality video file uses \(8 \times 10^8\) bytes of data. This is the number of text files that can fit inside that single video file.
What is \(2 \times 10^5\)
This is the slope of a straight line that passes through the coordinates \((1, 3)\) and \((4, 15)\).
What is 4