New PSAT Math Practice Test 1

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

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New PSAT Math Practice Tests from CollegeBoard, Practice Test 1, Section 3, Questions 1 to 4

PSAT Math Practice Test 1 - No Calculator

  1. Download PSAT Practice Test 1 (pdf)
  2. Complete section 3. There are 17 questions to be completed in 25 minutes.
  3. Watch the videos to check your answers and for useful tips.

Question 1
A babysitter earns $8 an hour for babysitting 2 children and an additional $3 tip when both children are put to bed on time. If the babysitter gets the children to bed on time, what expression could be used to determine how much the babysitter earned?

A. 8x + 3, where x is the number of hours
B. 3x + 8, where x is the number of hours
C. x(8 + 2) + 3, where x is the number of children
D. 3x +(8 + 2), where x is the number of children.

Question 2
3(x + y) = y
If (x, y), is a solution to the equation above and y ≠ 0, what is the ratio x/y?

Question 3
1/2 x - 1/4 y = 10
1/8 x - 1/8 y = 19

Which ordered pair (x,y), satisfies the system of equations above?

Question 4
The preceding triangle ABC is isosceles with AB = AC and BC = 48. The ratio of DE to DF is 5:7. What is the length of DC?
A. 12
B. 20
C. 24
D. 28

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Try the free Mathway calculator and problem solver below to practice various 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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