Let f(x) = (2x - 3)(2x + 3). What are the constant, linear, and quadratic terms of function f?

In the following problem, expand the given expression.

(2x - y)(4x + 3y)

In the following problem, use the projectile-motion function to determine the initial upward velocity ($v_0$) and the initial height ($h_0$) of the object.

$$h(t)=-\frac{1}{2}(9.8) t^2+32 t+2$$

Multiply.

a (2x + 3)(2x - 3)

b (2x + 3)(3x - 2)

c (3x + 2)(3x - 2)

The table below shows the records of the Apollo High School baseball team from 1980 through 1989.

a On the same set of axes, draw frequency polygons to represent the number of wins per year and the number of losses per year.

b Find the average number of wins per year.

c In what year did the team win the greatest percentage of the games played?

d By how much does the team's average number of wins per year exceed their average number of losses per year?

In the following problem, factor the given expression.

$$x^2 + 7x + 12$$

What linear term is needed to be filled in place of question mark(?) to complete each perfect-square trinomial

a $x^2 +? + 9$

b $y^2 - ? + 64$

c $y^4 + ? + 16x^2$

d $x^2 + ? + 30.25$

a A rectangle with sides 3x and x+2 units is given. Write a function for A(x), the area of rectangle A.

b A rectangle with sides x+2 and 2 units is given. Write a function for B(x), the area of rectangle B.

c Find the value(s) of x for which the areas are equal.

Consider the equation $(x + 7)^2 - 5(x + 7) - 14 = 0$.

a Substitute z for x + 7 and solve for z.

b Use your answer to part a to solve the original equation for x.

In the following problem, solve the given equation for the variable.

2b(b - 3) + 5(b - 3) = 0

A mail-order firm's shipping charge is based on the weight of the item to be shipped and the distance it is to be shipped.

a Find the charge for shipping a 12-pound package 750 miles.

b Find the charge for shipping a 7.5-pound package 340 miles.

c Find the charge for shipping a 15-pound package 1240 miles.

d If the shipping charge for a package is $12, what are the possible values of its weight and the shipping distance?

In the following problem, factor the given expression completely.

$$6 x^2+13 x+6$$

In the following problem, find the largest perfect-square factor of the given term.

$$32x^6$$

In the following problem, solve the given equation for the variable.

2x (x - 5) = 0