ACT 英语与数学练习

A nonessential clause such as who trained for years should be set off with a comma before and after it.

The subject is list, not requirements, so the singular verb is agrees with it.

With a singular indefinite subject such as every student, formal ACT style uses a singular possessive pronoun.

Despite is a preposition that can introduce a noun phrase and expresses contrast with the rest of the sentence.

Items in a series should keep the same grammatical form, so biking matches hiking and swimming.

But correctly shows contrast: the test was difficult, yet the work was completed on time.

However signals a contrast between the strong essay and the rushed conclusion.

A singular possessive is needed because the decision belongs to one teacher.

A complete sentence needs a subject and a predicate; The train arrived has both and expresses a full thought.

The revised sentence gives the action a clear subject: I pushed hard, but the door would not open.

Accept means to receive or agree to something; the sentence asks someone to accept the invitation.

Because it rained is concise, grammatically complete, and keeps the original meaning.

Therefore links the failure to the logical result: trying a new approach.

The past-tense verb entered sets the time, so stopped keeps the tense consistent.

Whom is the object of the verb choose and is required in formal usage.

An introductory phrase should end with a comma and be followed by the main clause.

The uniforms belong to multiple players, so the plural possessive players’ is correct.

Use the comparative better when comparing exactly two things. The sentence compares two essays, so the comparative form is correct, not the superlative best. More better is redundant, and most good is not standard English.

She refers clearly to Maya, the nearest singular feminine noun.

The correct preposition after interested is in. The phrase interested in art history is a fixed collocation in standard English, so the sentence needs in after the adjective. Interested for, interested at, and interested on are not used with this meaning.

The combined sentence uses but to show contrast and avoids a comma splice.

The first option is direct, formal, and free of redundant wording.

Each is singular, so the singular verb is is correct even though candidates is plural.

The relative clause that had crashed correctly modifies computer. It tells which computer the technician repaired and stays close to its noun. Crashing and crashed alone do not form a grammatical relative clause, and had crashing is not a valid verb phrase.

Its is the possessive form; it’s means it is. The license belongs to the company, so the sentence needs the possessive pronoun without an apostrophe. It is the subject pronoun, and its’ is not a valid English word.

The main idea must cover all the listed benefits: air quality, community, and fresh food.

More plants capture pollutants and improve the air, which is why plant cover is the stated cause.

If gardens require volunteers, readers can infer that local people must participate.

In context, vibrant describes an active, lively neighborhood. A vibrant area is full of energy and activity, which matches lively. Expensive and noisy add ideas not contained in the word, and isolated means the opposite of active.

Fresh food is listed as one benefit of urban gardens, supporting the positive argument.

The author presents benefits positively, so the tone is supportive.

The steps all describe the process of starting a garden.

Neighbors meeting while gardening directly shows social connection and community building.

The passage defines community gardens as spaces shared and maintained by many people.

Accessible means people can easily reach or obtain the fresh produce.

Multiply first: 2 × 5 = 10, then add 8 to get 18.

25% is one fourth, and 80 divided by 4 equals 20.

36 cookies are 3 times 12, so multiply 3 cups by 3 to get 9 cups.

Subtract 5 from both sides to get 3x = 15, then divide by 3 to find x = 5.

Add the equations: 2x = 14, so x = 7. Adding x + y = 10 and x - y = 4 eliminates y because y and -y cancel. This gives a direct way to solve for x without substitution.

The inequality simplifies to x > 8, so 9 is the only solution listed.

Substitute 4: f(4) = 2(4) + 1 = 9. Replacing x with 4 and following order of operations gives 8 + 1, which is 9. The other choices come from misreading the function or making an arithmetic error.

Add the exponents: 2^3 × 2^2 = 2^5 = 32.

12 × 12 = 144, so the square root is 12. The square root of a number is the nonnegative value that multiplies by itself to give that number. Checking by squaring confirms 12, while 14 × 14 = 196 and 24 × 24 = 576.

In slope-intercept form y = mx + b, m is the slope and b is the y-intercept.

20% of $40 is $8, so the sale price is $40 - $8 = $32.

The sum is 30, and 30 divided by 5 is 6.

Ordered from least to greatest: 2, 3, 5, 7, 9. The middle value is 5.

There are 5 marbles total and 3 red, so P(red) = 3/5.

Angles in a triangle sum to 180°, so 180 - 50 - 70 = 60°.

Area = πr² = π(3²) = 9π. The area formula squares the radius before multiplying by π. Since 3 squared is 9, the result is 9π; 6π and 12π come from using the diameter or circumference formula instead.

Perimeter = 2(8 + 5) = 26. The perimeter is the distance around the rectangle, so add the length and width and double the total. The result 40 would be the area in square units, and the other choices omit one step.

Volume = length × width × height = 3 × 4 × 5 = 60. Multiply the three dimensions in any order to find the space inside the box. The values 35 and 12 come from adding dimensions or multiplying only part of them.

The differences are 3 and 4, and the distance is the square root of 3² + 4² = 5.

Slope = (6 - 0) / (2 - 0) = 3. Slope measures the change in y divided by the change in x between two points. Rising 6 units over a run of 2 units gives a slope of 3, so the answer is 3.

x² = 9, so x = 3 or x = -3. The positive solution is 3.

The first uses commas around a nonessential clause, and the third uses a semicolon between related independent clauses. The other choices contain punctuation errors.

The singular subject group takes is, and the plural subject both takes were.

Air quality and fresh produce are stated benefits; planning and replacing supermarkets are not supported.

Neighbors meeting and volunteers sharing tools both show cooperation; the other choices contradict the claim.

3 × 4 = 12 and 24 ÷ 2 = 12. The other expressions equal 8 and 11.

The inequality is strict, so 5 is not a solution; 6 and 8 are greater than 5.

Area = 6 × 4 = 24, and perimeter = 2(6 + 4) = 20.

3 and 6 divide 12 evenly; 5 and 8 do not.

A semicolon is used between independent clauses that are closely related and not joined by a coordinating conjunction.

Apostrophes show possession or omissions; they are not used to make most nouns plural.

A main idea is broad enough to cover the passage while the details support it.

The median is found by ordering the values and locating the middle.

The mean is an average and does not have to appear in the data set itself.

The product of a negative and a positive number is negative.

Neither is singular, so the singular verb is is correct.

Child is an irregular plural, and the possessive is children's.

15% means 0.15, and 0.15 × 200 = 30. Percent means per hundred, so 15% of 200 is 15/100 × 200. Dividing 200 by 100 gives 2, and 15 × 2 = 30, so the blank is 30.

Subtract 7 from both sides to get x = 8. Solving an equation requires keeping both sides balanced while isolating the variable. Since 15 - 7 is 8, x = 8 is the only value that makes the statement true.

Area = (1/2) × base × height = (1/2) × 10 × 6 = 30.

The complete sentence has a subject and predicate, the fragment lacks a main clause, and the run-on joins two sentences without punctuation.

The main idea states the broad point, the detail gives supporting evidence, and the transition word signals a shift.

2 × 9 = 18, 15 - 6 = 9, and 4² = 16. Match each expression to its value by computing one at a time and checking the result. These calculations cover multiplication, subtraction, and an exponent, so each row has a distinct answer.

A rectangle uses length times width, a triangle uses one half base times height, and a circle uses πr².

The mean is the average, the median is the middle value, and the mode is the most frequent value.