Math 4 Name:

Date:

Quiz Review

Sections 2.1-2.3

Key Facts

·  Order of operations: PEMDAS!

o  Remember:

§  Absolute value bars count as parentheses

§  Fraction bars imply parenthesis:

§  Multiplication and division happen together, from left to right

§  Addition and subtraction happen together, from left to right

·  When adding and subtracting polynomials, you can only combine like terms (same combination of variables and exponents)

·  When multiplying polynomials, use a multiplication box to make sure you multiply every term in one polynomial by every term in the other

·  Solving for one variable (like x) in terms of the other variables means you still get x by itself but it will be equal to something involving the other variables, rather than a number

o  Example: Solving for m in gives

Make sure your homework is up-to-date: #1-42 in your workbook should be done!

Learning Targets

·  1.1 I can convert between single units (e.g. feet to inches).

·  1.2 I can convert between complex units using dimensional analysis (e.g. feet/second to miles/hour).

·  2.1 I can simplify numeric expressions using order of operations.

·  2.2 I can simplify polynomial expressions using order of operations.

·  2.3 I can solve multi-variable equations for one of the variables.

Practice: Learning Targets 2.1 – 2.3

Answer all the following questions without a calculator. Show your work.

1.  Simplify / 2.  Simplify
3.  Simplify / 4.  Simplify

5.  Would you be happy if you received the following score on a test?

6.  Lindsay and Diego are arguing over the following problem. Lindsay says the solution is correct. Diego says that the solution is wrong. Who’s right?

Simplify the following expressions by combining like terms, then evaluate the expressions using the numbers given.

7.  Evaluate given

8.  Evaluate given and

Simplify the following expressions. Be sure to use a multiplication box to help you when multiplying polynomials.

9.  / 10. 
11.  / 12. 
13.  Solve for m: / 14.  Solve for w:

15.  The density D of an object is given by , where m is the mass and V is the volume of the object.

  1. Solve for V in terms of the other variables.
  1. Use your formula from part a to find the volume of an object with a mass of 20 kg and a density of 4 kg/m3. What are the units of your answer?

16.  The volume V of a right prism with an equilateral triangle for a base is given by , where s is the side length of the base and h is the height.

  1. Solve for h in terms of the other variables.
  1. Use your formula from part a to find the height h for a prism with a volume of 300 in3 and a side length of 6 in. What are the units of your answer? You may use a calculator.

Learning Targets 1.1 – 1.2

Unit Equivalences

3 feet (ft) = 1 yard (yd)
5280 feet (ft) = 1 mile (mi)
3.28 feet (ft) = 1 meter (m)
1000 meter (m) = 1 kilometer (km) / 2000 pounds (lb) = 1 ton (T)
16 ounces (oz) = 1 pound (lb)
2.2 pounds (lb) = 1 kilogram (kg)
365 days = 1 year

For all the problems that follow, show your work and include units with your answer.

17.  An empty space shuttle weights 363,000 lbs. What is the weight of the shuttle in kilograms?

18.  The Great Wall of China is 5,500.3 miles long. How long is the wall in feet?

19.  The fastest supersonic jet on record, NASA’s X-43, was recorded as flying at 7,150 miles/hour. How fast is that in meters/second.

20.  Donatella did the following calculation to figure out how many seconds she had been alive on her 18th birthday. However, she made a mistake in her calculations. Find and correct her mistake.

18 years x1 year365 daysx1 day24 hoursx1 hour60 minutex1 minute60 seconds=

21.  Min measures the field house in strides and finds it to be exactly 325 strides long. Using the chart below, find out how many of his shoes long it would be.

1 stride = 38 inches / 1 shoe = 10 inches

Answers

  1. 15
  2. -2
  3. -4
  4. 10
  5. No. The score is 0
  6. Diego is right because there is a mistake. They didn’t do multiplication and division from left to right.
  7. evaluate to 22
  8. evaluate to 14
  15. a. b. 5 m3
  16. a. b. 19.245 in
  17. 165,000 kg
  18. 29,041,584 ft.
  19. 3,197.15 m/sec
  20. 18 years x365 days1 yearx24 hours1 dayx60 minues1 hourx60 seconds1 minute=567,648,000 seconds
  21. 1,235 shoes.

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