Use the Distributive Property to write the expression as an equivalent algebraic expression. -4(j - k)

Use the Distributive Property to complete and simplify each expression below. a. 2(x + 5) = 2 · x + 2 · 5 = 2x + __ b. 3(2x + 1) = 3 · 2x + 3 · __ = ___ c. -2(x + 3) = -2 · _ + -2 · _ = _____ d. -3(2x - 5) = _______ = ______

An oscillator creates periodic waves on a stretched string.

a. IF the period of the oscillator doubles, what happens to the wavelength and wave speed? The wavelength doubles but the wave speed is unchanged. The wavelength is halved but the wave speed is unchanged. The wavelength is unchanged but the wave speed doubles.

b. If the amplitude of the oscillator doubles, what happens to the wavelength and wave speed? Both wavelength and wave speed are unchanged. The wavelength is unchanged but the wave speed doubles. The wavelength doubles but the wave speed is unchanged.

Suppose you have an isolated system in which two objects about to collide have equal and opposite momenta. If the collision is totally inelastic, what can you say about the motion after the collision?

Write two expressions whose GCF is

$$5 a ^ { 2 }$$

You have a solution of table salt in water. What happens to the salt concentration (increases, decreases, or stays the same) as the solution boils? Draw pictures to explain your answer.

In the function $y=a x^{2}+b x+c,$ c represents the y-intercept. Find the value of the y-intercept in the function $y=a(x-h)^{2}+k.$

The area of an ellipse with axes of length 2a and 2b is given by the formula $A = \pi a b$. Approximate the percent change in the area when a increases by 2% and b increases by 1.5%.

A car wash firm calculates that its daily profit (in dollars) depends on the number n of workers it employs according to the formula $P=400 n-0.5 n^{2}$. Calculate the marginal product at an employment level of 50 workers, and interpret the result.

Copy and complete the statement. A(n) _ angle of a polygon is an angle that lies inside the polygon.

Identify a food that is high in carbohydrates, another that is high in proteins, and a third that is high in lipids.

Simplify each complex fraction. $\frac{\frac{1}{3}}{\frac{3}{b}}$

Find each percent of change. Tell whether the change is an increase or a decrease. Where necessary, round to the nearest tenth of a percent. from 96 to 78.

Factor the expression completely. If an expression is prime, so indicate.

$$27 x ^ { 9 } - y ^ { 3 }$$