MATH PRACTICE PLACEMENT TEST SOLUTIONS LATEST UPDATE AND VERIFIED PAGE 1 OF 14 16w2u10 v4 1. Simplify: 20 43 (8) 20 64 (8) 20 (8) = 12 (Order of operations from left to right: Parenthesis, Exponents, Multiplication, Division, Addition Subtraction) 2. Simplify: (2a – 4) + 2(a – 5) – 3(a+1) = 2a – 4 + 2a – 10 – 3a – 3 = a – 17 3. Evaluate the expression: 4a2 4ab b2 , when a = 2 and b = 5 4a2 4ab b2 422 425 52 16 40 25 = 1 4. Firefighters use the formula S = 0.5P + 26 to compute the horizontal range S in feet of water from a particular hose, where P is the nozzle pressure in pounds. Find the horizontal range if pressure is 90 lb. Given P = 90 lb. Hence horizontal range S = 0.5(90) + 26 = 71 feet . 5. Simplify: 2x2 3x2 3 2x2 33 x2 3 2x2 27x6 = 54x8 2u5v2 2 8w 2 82 w2 64w2 6. Simplify: 8w
2u5v2
2 5 2 2 2 4u10v4 = 2 u v
7. Express in scientific notation: 0. 0000056 = the decimal) 5.6106 (count number of places from first non-zero digit to 8. Expand: 1.20105 = 1.2 × 10000 = 120000 9. Solve: 1 x 5 3 Multiply both sides of the equation by 8 8 1 x 5 3 2x 5 3 x 4 4 8 8 4 8 8
10. Solve: 8(x – 2) – 5(x + 4) = 20 + x 8x – 16 – 5x – 20 = 20 + x 3x – 36 = 20 + x 3x – x = 20 + 36 2x = 56 x = 28 MATH PRACTICE PLACEMENT TEST SOLUTIONS LATEST UPDATE AND VERIFIED PAGE 2 OF 14 2x 1 x 3 mv
3 5 15 11. Solve for m: 2 F Fr mv2
r Fr m . v2 12. Solve P: A P Pr t A P(1 r t)
13. Solve: 6 4 6x 4 x 5 6x 4x 20 6x 4x 20 2x 20
x 5 x 14. Solve: 2 x 3 5 x 3 5 x 3 5 or x 3 5 2 2 x 5 3 or x 5 3
2 2 15. Solve: 3 (x 4)3 (x 4) (x 4)
(x 4)3 x (4 x) 4
4 x
3x 12 x 14 2x 12 4 2x 8 x 4 However, if x = 4 the denominator becomes zero in the original equation. ANSWER : No Solution 16. Simplify: x3 x2 y 6xy2 x2 2xy = x x2 xy 6 y2
x x 2 y = x 3y x 2 y
x 2 y = 17. Simplify: 4x2 1 2x2 5x 3 = 2x 12x 1
2x 1 x 3 = 18. Solve: -3(2x – 3) 27 6x 9 27 6x 18 x 3 2 x 4 2 x 4
19. Solve:
3 5 15 15 15 15 10 3x 4 3x 6
A 1 rt P 2 x 11 or x 1 2 2 x 2 x 3y x 10 x 4 x 4
x 4 4 x x 4 4 x
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller TutorExpert. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $20.49. You're not tied to anything after your purchase.
