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More Lessons for Passport to Advanced Math, More Lessons for SAT Math, More Resources for SAT

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 25 to 29

PSAT Math Practice Test 1 - Calculator

Question 25

Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice’s fence if the area of her garden is 5,670 square feet?

A. 342 feet

B. 318 feet

C. 300 feet

D. 270 feet
Question 26

Given the preceding right triangle ABC, which of the following is equal to b/a?

A. sin A

B. sin B

C. tan A

D. tan B

Question 27

y ≤ -x

2y > 3x + 2

Which section or sections of the graph could represent all of the solutions to the system?

A. Section R

B. Sections Q and S

C. Sections Q and P

D. Sections Q, R, and S
Question 28

The preceding xy-plane shows one of the two points of intersection of the graphs of a linear function and a quadratic function. The shown point of intersection has coordinates (v, w). If the vertex of the graph of the quadratic function is at (4, 19)

Question 29

In a college archeology class, 78 students are going to a dig site to find and study artifacts. The dig site has been divided into 24 sections, and each section will be studied by a group of either 2 or 4 students. How many of the sections will be studied by a group of 2 students?
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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Passport to Advanced Math, More Lessons for SAT Math, More Resources for SAT

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 25 to 29

PSAT Math Practice Test 1 - Calculator

Question 25

Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice’s fence if the area of her garden is 5,670 square feet?

A. 342 feet

B. 318 feet

C. 300 feet

D. 270 feet

Given the preceding right triangle ABC, which of the following is equal to b/a?

A. sin A

B. sin B

C. tan A

D. tan B

y ≤ -x

2y > 3x + 2

Which section or sections of the graph could represent all of the solutions to the system?

A. Section R

B. Sections Q and S

C. Sections Q and P

D. Sections Q, R, and S

The preceding xy-plane shows one of the two points of intersection of the graphs of a linear function and a quadratic function. The shown point of intersection has coordinates (v, w). If the vertex of the graph of the quadratic function is at (4, 19)

In a college archeology class, 78 students are going to a dig site to find and study artifacts. The dig site has been divided into 24 sections, and each section will be studied by a group of either 2 or 4 students. How many of the sections will be studied by a group of 2 students?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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