Factor the sum or difference of cubes. Factor out the GCF first.

$$2 x ^ { 6 } + 54 x ^ { 3 }$$

Compare. Write< or >.

$$-9 \square 2$$

Find the height of a parallelogram if its base is 35 centimeters and its area is 700 square centimeters. (Example 3 )

Describe all ring homomorphisms of ℤ × ℤ into ℤ × ℤ.

Solve the equation. $n ^ { 2 } + \frac { 2 } { 3 } n = - \frac { 1 } { 9 }$

A teacher gave a test with 50 questions, each worth the same number of points. Donovan got 39 out of 50 questions right. Marci's score was 10 percentage points higher than Donovan's. Hence how many more questions did Marci answer correctly? Explain.

Solve each equation. If the equation is an identity, write identity. If it has no solution, write no solution. 6.8 - 4.2b = 5.6b - 3

The height of a triangle is 7 cm. The area of the triangle is 28

$$cm^2$$

. Find the length of the base of the triangle.

Draw a separate, correctly labeled graph illustrating the effect of each of the following changes on the demand for labor. Adopt the usual ceteris paribus assumption that all else remains unchanged in each case.

The price of the product being produced decreases.

Solve for x or b. (a) log_10 1000=x (b) log_10 0.1=x

Solve the equation.

$$( 10 - \sqrt { t } ) ^ { 2 } - 4 ( 10 - \sqrt { t } ) - 45 = 0$$

Choose the word from the list that completes each statement. In the expression $5^{x},$ the variable is the -----?----

What does complement mean?

A particle moves with a velocity of v(t) m/s along an s-axis. Find the displacement and the distance traveled by the particle during the given time interval.

$$v ( t ) = t - \sqrt { t } ; 0 \leq t \leq 4$$