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SAT Math Word Problems
100

Abate

v. to become less active, less intense, or less in amount

100

Adapt

v. to make suit a new purpose

v. to accommodate oneself to a new condition, setting, or situation

100

Advocate

n. someone who promotes or defends something

v. to defend or promote something (usu. a belief, theory, opinion, etc.)

100

Allude

v. to make a secretive mention of something

100

Maria is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 8% is applied to the room rate, and an additional one-time untaxed fee of $5.00 is charged by the hotel. Which of the following represents Maria’s total charge, in dollars, for staying x nights? 

A. (99.95 + 0.08x) + 5

B. 1.08(99.95x) + 5

C. 1.08(99.95x + 5)

D. 1.08(99.95 + 5)x

B. 1.08(99.95x) + 5

200

Abstract

adj. existing purely in the mind; not representing actual reality

200

Adept

adj. having knowledge or skill (usu. in a particular area)

200

Aesthetic

adj. relating to beauty or refined taste

200

Altercation

n. a noisy argument or confrontation

200



A. AE is parallel to BD

B. AE is perpendicular to BD

C. AB is parallel to DE

D. AB is perpendicular to DE

C. AB is parallel to DE

300

Abysmal

adj. extremely bad

300

Adequate

adj. having sufficient qualifications to meet a specific task or purpose

300

Afford

v. to be able to buy

v. to be able to spare

300

Ambiguous

adj. unclear or vague in meaning

300

x² + y² = 153
y = −4x

If (x, y) is a solution to the system of equations above, what is the value of x²?


A. -51

B. 3

C. 9

D. 144

C. 9

400

Accordingly

adv. in accordance with

400

Advent

n. the arrival or creation of something (usu. historic)

400

Agitate

v. to promote something (usu. a cause)

400

Ambitious

adj. having a powerful desire for success or achievement

400

The function f is defined by f(x) = 2x³ + 3x² + cx + 8, where c is a constant. In the xy-plane, the graph of f intersects the x-axis at the three points (−4, 0), (1/2, 0), and (p, 0). What is the value of c?

A. -18

B. -2

C. 2

D. 10

A. -18

500

Acquisition

n. the act of gaining a skill or possession of something

500

Adversarial

adj. relating to hostile opposition

500

Allow

v. to permit or consent to

500

Ambivalence

n. the state of being uncertain or stuck between two or more options

500

A researcher wanted to know if there is an association between exercise and sleep for the population of 16-year-olds in the United States. She obtained survey responses from a random sample of 2000 United States 16-year-olds and found convincing evidence of a positive association between exercise and sleep. Which of the following conclusions is well supported by the data?


A. There is a positive association between exercise and sleep for 16-year-olds in the United States.

B. There is a positive association between exercise and sleep for 16-year-olds in the world.

C. Using exercise and sleep as defined by the study, an increase in sleep is caused by an increase in exercise for 16-year-olds in the United States.

D. Using exercise and sleep as defined by the study, an increase in sleep is caused by an increase in exercise for 16-year-olds in the world.

A. There is a positive association between exercise and sleep for 16-year-olds in the United States.

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