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## ACC AAF W/S #1 - Key

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**ACCUPLACER®**Module #3 - AAF Worksheet #1 - Key 1**Module #3 Worksheet #1**1. B: To simplify the given equation, the first step is to make all exponents positive by moving the negative exponents to the opposite place in the fraction. 3 2 4 3 * a a b simplify. Multiplying the same base means the exponents can be added. Dividing the same bases means the exponents are subtracted. 2. B: The car is traveling at a speed of five meters per second. On the interval from one to three seconds, the position changes by fifteen meters. By making this change in position over time into a rate, the speed becomes ten meters in two seconds or five meters in one second. 3. B: there are two zeros for the given function. They are x= 0, -2. The zeros can be found a number of ways, but this particular equation can be factored into: f(x) = x(x2 + 4x + 4) = x(x +2)(x=2) NAME: _____KEY_________________ b b a This expression becomes: . Ten the rules for exponents can be used to 1 4 By setting each factor equal to zero and solving for x, there are two solutions. On a graph, these zeros can be seen where the line crosses the x-axis. 4. D: This problem involves a composition function, where one function is plugged into the other function. In this case, the f(x) function is plugged into the g(x) function for each x-value. The composition equation becomes: 3 2 ( ( )) 2 3(2 ) 2(2) 6 g f x . Simplifying the equation gives the answer: ( ( )) 8 3(4) 2(2) 6 8 12 4 6 2. g f x 5. D: The expression is simplified by collecting like terms. Terms with the same variable and exponent are like terms, and there coefficients can be added. 2

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