Draw two lines under the verb in parentheses that agrees with the subject.

Three hours (was, were) devoted to practicing piano.

Underline the form of the verb that agrees with the subject.
Anyone who (excavates, excavate) a dinosaur has many stories to tell.

In each of the following sentences, underline the parts of the compound subject. Alfalfa or soybeans will grow in those fields next year.

Find the minimum and maximum values of the function subject to the given constraint.

$$f ( x , y ) = 4 x ^ { 2 } + 9 y ^ { 2 },$$

xy = 4

In each of the following sentences, underline the verb or helping verb in parentheses that agrees with its subject.

They (is, are) trying to save these ballads.

Write $U$ beside each sentence that has you as its understood subject. Write $I$ beside each sentence that is in inverted order. If the sentence is in inverted order, draw one line under the subject and two lines under each simple predicate.

Over the outfield wall sailed the ball.

Consider the problem of maximizing the function $f(x, y) = 2x + 3y$ subject to the constraint $\sqrt{x} + \sqrt{y} = 5$. What is the significance of $f(9, 4)$?

Use Theorem 1 to explain why no maxima or minima exist. Minimize $f(x, y)=4 y-3 x$, subject to 2x+5y=3.

Write in the blank the verb in parentheses that agrees with the subject of each sentence.

The population _____ steadily each year. (grows, grow)

Find the minimum and maximum values of the function subject to the given constraint.

$$f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 },$$

x + 3y + 2z = 36

Circle each subject and underline each verb in the following sentences.

Christina played the guitar and sang songs from Chile.

Draw two lines under the verb in parentheses that agrees with the subject.

Through the rain (trudges, trudge) the weary travelers.

Find the minimum and maximum values of the function subject to the given constraint. f(x, y) = xy,

$$4 x ^ { 2 } + 9 y ^ { 2 } = 32$$

Which subject does this sentence describe? Aprendemos de nuestro país y los países del mundo. (yo) (nosotros)