Algebra

1. The function f(x) = 5(1.24)x models the length (cm) of a lizard from the beginning of a lizard's life. According to the model, which represents the growth factor throughout the lizard's life?
A) 1.24 ***
B) 5
C) x
D) y
2. The distance from Jim's house to the intersection of Thornwood Drive and Holly Drive is given by the expression 15x − 7. The total distance from Jim's house to Adam's house when traveled on Thornwood Drive and Holly Drive is given by the expression 23x − 2. Find a single expression that represents the distance from Adam's house to the intersection of Thornwood Drive and Holly Drive.
A) 8x + 5
B) 8x − 9
C) 38x + 5
D) 38x − 9***
Which polynomial is in standard form?
A) 2x + 3x3 + 5x5 + 9x4 + 2x
B) 5 + 3x + x2 + 2x4 + 2x5 ***
C) 8x7 + 3x6 + x5 + 5x4 − 2x3
D) 8x2 + 3x5 + x6 + 5x7 − 2

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  1. #1 ok
    #2 nope. You want to subtract. Read the question again, and draw and label a diagram if necessary.
    #3 nope. Time to review the standard form.

    And use ^ for exponents.
    x^2, or 1.24^x

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  2. The table shows the behavior of a quadratic and an exponential function near the origin.
    A. Which function is growing more rapidly?
    B. Between which x-values does the table indicate that the functions' graphs have crossed?
    C. Will the functions' graphs ever intersect again? Can you prove this?

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