Week 16 ClassworkAlgebra I

80 pts

Name:

  1. Explain what it means to “simplify” a problem versus what it means to “solve.”

  1. Simplify (54)(24) if possible.

  1. Find the equation of the line passing through (-1, 4) and (6, 0).

  1. Simplify (25)3 if possible.

  1. Simplify if possible.

  1. Graph 4y < -3x.

  1. Simplify and then solve :

  1. Find the equation of the line parallel to
-5 + 2y = 4x and passing through (-6, -3).
  1. Simplify :

  1. Simplify :

  1. Explain what it means to “solve a system of linear equations.”

  1. Find the solution to the system of linear equations:
  • -3y – 2 = x
  • 6x + 1 = -y

  1. 16 of Rebecca’s vinyl records are Journey and Led Zeppelin albums. The number of Led Zeppelin albums is five thirds the number of Journey albums. How many of each does Rebecca have?

  1. Find the solution to the system of linear equations:
  • 4 + 3y = -5x
  • x = -9y

  1. The growth rate for cats can be described the following way:
w = rt + wi, where w is the cat’s current weight, r is its growth rate per month, and wi is its original weight when adopted.
When Loki was adopted he weighed 9 pounds, and with a growth rate of 0.25 pounds per month is now 11 pounds. Buster weighed 4 pounds when he was adopted, and with a growth rate of 0.75 pounds per month is now 10 pounds.
Write equations describing the cats’ growth rates.
After how many months did Loki and Buster weigh the same?
  1. Fez and Melanie both love to read fantasy novels. Fez reads 1.7 times more pages per day than Melanie, with both reading a combined total of 540 pages per day.
How many pages do they both read in a day?
  1. Explain what a solution to a system of linear inequalities is.

  1. Graph 3y≥ -2x + 6 and -4 – y < 5x and indicate the solution to this system of linear inequalities, if there is one.

  1. =

  1. Niranjan and Heidi are both geologists. One day in the field they collect 130 rock samples, and Niranjan collected 1.5 times more samples than Heidi. Figure out how many rock samples they each collected.

  1. Find the axis of symmetry, vertex, and zeros of g(x) = x2 + 4x – 96.

  1. Chloe and Brandon are working on a project to create a program that helps diabetics monitor blood sugar levels. Their program currently has 1,250 lines of code, and Chloe wrote 1.5 times more of it than Brandon. How many lines of code did she write for the program?

  1. Explain what the “vertex form” of an absolute value, square root, and parabola function is useful for.
List these functions’ vertex forms.
  1. What is the “standard form” of a parabola? Why might it be useful?

  1. Find the vertex and zeros of f(x) = -2(x + 4)2.

  1. Find the vertex, axis of symmetry, and zeros of y = -3x2 + 4x + 2.

  1. Graph f(x) = . Describe its transformations for a +1 bonus.

  1. Graph 2y – 1 = 3|x – 9| + 2.

  1. Describe the transformations of
f(x) = .
  1. Graph f(x) = 2x2 + 3x – 1.

  1. FOIL (3x – 1)(x + 4) and find the zeros.

  1. Simplify m-3.

  1. Describe the transformations of
f(x) = -3(x – 3)2– 6. Graph it for a +1 bonus.
  1. Find the zeros of g(x) = -4x2 + x + 10.

  1. Graph -3y= .

  1. A school group does two car washes to raise money for a trip. The first car wash made 2 times more than the second, with both making $1,405.50. How much money was made at each car wash?

  1. Graph y = -x2– 3x + 2. Describe its transformations for a +1 bonus.

  1. Simplify :

  1. Describe the transformations of
h(x) = -3(x + 2)2 – 7.
  1. Solve for m:
-5 – 32(4m + 5⨯6÷3) = -m + 23 +

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