More Lessons for Passport to Advanced Math

More Lessons for SAT Math

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These videos and solutions are for the redesigned PSAT, which is for you, if you are taking the PSAT in October 2015 and beyond.

New PSAT Math Practice Tests from CollegeBoard, Practice Test 1, Questions 5 to 8

PSAT Math Practice Test 1 - No Calculator

Question 5

In a certain game, a player can solve easy or hard puzzles. A player earns 30 points for solving an easy puzzle and 60 points for solving a hard puzzle. Tina solved a total of 50 puzzles playing this game, earning 1,950 points in all. How many hard puzzles did Tina solve?

A. 10

B. 15

A. 10

B. 15

2x

If r and s are two solutions of the equation above and r > s, which of the following is the value of r - s?

To cut a lawn, Allan charges a fee of $15 for his equipment and $8.50 per hour spent cutting a lawn. Taylor charges a fee of $12 for his equipment and $9.25 per hour spent cutting a lawn. If x represents the number of hours spent cutting a lawn, what are all the values of x for which Taylor’s total charge is greater than Allan’s total charge?

A. x > 4

B. 3 ≤ x ≤ 4

C. 4 ≤ x ≤ 5

D. x < 3

N = 456 - 3T

The equation above is used to model the relationship between the number of cups, n, of hot chocolate sold per day in a coffee shop and the average daily temperature, T, in degrees Fahrenheit. According to the model, what is the meaning of the 3 in the equation?

A. For every increase of 3°F, one more cup of hot chocolate will be sold.

B. For every decrease of 3°F, one more cup of hot chocolate will be sold.

C. For every increase of 1°F, three more cups of hot chocolate will be sold.

D. For every decrease of 1°F, three more cups of hot chocolate will be sold.

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