Daily Math Practice Challenge: Preparing for the ACT Exam-DAY 21

6. Li is walking from one point on a large model of the standard (x,y) coordinate plane to another point. She walks only along lines parallel or perpendicular to the x-axis. The expression ⎪6 − 1⎪ + ⎪2 − (−5)⎪ gives the minimum distance, in coordinate units, Li walks between which of the following pairs of points?

F. (2, 6) and (−5, 1)
G. (2, 6) and (−1,−5)
H. (6,−5) and (−1, 2)
J. (6,−1) and ( 2, 5)
K. (6, 1) and ( 2,−5)

Correct Answer:F
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7. For all angle measures A° greater than 0°, which of the following expressions is equal to cos A° ?

F. cos(090 + A)°
G. cos(180 − A)°
H. cos(180 + A)°
J. cos(270 + A)°
K. cos(360 − A)°

Correct Answer:K
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8. The rational function graphed in the standard (x,y) coordinate plane below is undefined for 2 real values of x.

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One of the following functions is the graphed function. Which one?

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Correct Answer:J
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9. Given 4x − 9 = 6x − 15 is true, x = ?

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Correct Answer:E
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10. In the figure below, parallel lines m and n are cut by transversal line t, and 2 angle measures are given. What is the value of x ?

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F. 20
G. 25
H. 30
J. 65
K. 70

Correct Answer:J
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