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

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

This is one of the reasons many persons _____ travel agencies. (use)

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

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

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

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

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

Underline the subject and the correct word or word group in parentheses in each of the following sentences.

Where (is, are) the other assignments for the class?

Find the maximum and minimum values of

$$x ^ { 2 } + y ^ { 2 }$$

subject to the constraint

$$x ^ { 2 } - 2 x + y ^ { 2 } - 4 y = 0.$$

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

$$f ( x , y ) = x ^ { 2 } + y ^ { 2 } , \quad x ^ { 4 } + y ^ { 4 } = 1$$

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

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

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

Here (begins, begin) a fascinating story.

If you were the subject of the flyer given, how would you feel? How might you respond to it ?

Write the verb form that agrees with the subject in the sentence.

Most of his fiction (seem, seems) more brooding and serious.

Decide whether the words in each of the following pairs are antonyms or synonyms. Then, explain your reasoning.

subject to, prone

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

The highlight of the celebration (remains, remain) the fireworks.