ACP Review Fall 24

If f(x)=|x| is changed to g(x)=-f(x-5), how is the graph of the function transformed?

• The graph of f(x) is reflected across the x-axis and translated 5 units left to create the graph of g(x).

• The graph of f(x) is reflected across the x-axis and translated 5 units right to create the graph of g(x).

• The graph of f(x) is reflected across the y-axis and translated 5 units left to create the graph of g(x).

• The graph of f(x) is reflected across the y-axis and translated 5 units right to create the graph of g(x).

Horatio has 57 coins consisting of nickels, dimes, and quarters. He has twice as many dimes as nickels. If the coins are worth a total of $7.25, which system of equations is used to determine how many of each coin Horatio has?

• n+d+q=57

  n=2d

  0.05n+0.10d+0.25q=7.25

• n+d+q=57

  n=2d

  5n+10d+25q=7.25

• n+d+q=57

  d=2n

  0.05n+0.10d+0.25q=7.25

• n+d+q=57

  d=2n

  5n+10d+25q=7.25

|-4x+8|-3 < 13

What is the solution set for the inequality?

• -2 < x < 6

• -6 < x < 2

• x < -2 or x > 6

• x < -6 or x > 2

Which equation matches this parabola?

Which system is represented by this graph?

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Which function has roots at x=2, x=0, and x=-5?

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What is the solution to the system of equations?

• (-4, 1, 3)

• (-3, 4, -1)

• (3, -4, 1)

• (4, -1, -3)

What value of x makes the equation |7 - x| + 4 = 2x + 5 true?

• -12

• -8

• -4

• 2

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