ACT W1 D3

Trapezoid A and Trapezoid B are congruent and graphed in the standard (x,y) coordinate plane below. One of the following transformations or sequences of transformations would map Trapezoid A onto Trapezoid B. Which one?

• Reflection over the line y = x

• Reflection over the line y = -x

• Rotation of 180° around the origin

• Reflection over the y-axis and then a reflection over the x-axis

• Reflection over the x-axis and then a translation to the left

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A circle with its center at (5,4) and a radius of 3 coordinate units is graphed in the standard (x,y) coordinate plane. One point on the circle has a y-coordinate greater than that of any other point on the circle. What is the y-coordinate of that point?

• 3

• 7

• 8

• 9

• 13

Tags

CCSS.HSG.GPE.A.1

For real constants a, b, and c, the graph in the standard (x,y) coordinate plane below is represented by an equation in one of the following forms. Which one?

• ax +b

• |ax + b| + c

Tags

CCSS.HSF-IF.C.7A

• 1.5

• 4

• 5.5

• 10

• 10.5

Tags

CCSS.7.EE.B.3

In the figure below, 5 right triangles share a common vertex, O. The legs of each of these triangles are shown dashed, and their lengths are labeled in feet. The point on each triangle that is farthest from O is labeled A, B, C, D, or E. A circle centered at O with a radius of 10 feet will be drawn. Which of the following points is outside of this circle?

• A

• B

• C

• D

• E

Tags

CCSS.5.G.A.2

• $730.00

• $33,397.50

• $66,612.50

• $66,795.00

• $133,225.00

Tables of values for the 2 functions f and g are shown below. What is the value of g(f(5)) ?

• −24

• −6

• −5

• 4

• 7

Tags

CCSS.HSF-BF.A.1C

In the figure below, line l is parallel to line m, and line n intersects the parallel lines. What is the value of x?

• 5

• 10

• 17.5

• 40

• 50

Tags

CCSS.8.G.A.5

Which of the following expressions is equal to (2√7 + 1)(√7 − 1) − (√7 − 1)?

• 12

• 96

• −2 − 4√7

• 1 + 2√7

• 14 − 2√7

Tags

CCSS.HSN.RN.A.2

Given i² = −1, −2i(3 + 4i) − 3(2 + 5i) = ?

• −14 − 21i

• 1 − 3i

• 2 − 21i

• 2 + 9i

• 14 + 9i

Tags

CCSS.HSN.CN.A.2