ACT Math Mini-test 5

Answer explanation

Note that both equations have a slope of b, meaning that these lines must be parallel to one another.

In the case that c=d, these are the same line. They would have the same slope and the same y-intercept.

It is not possible for theselines to intersect at only one point. Since they have the same slope, they are parallel and therefore never intersect.

• -4

• -2

• 0

• 2

• 4

Answer explanation

A system of two equations has an infinite number of solutions when both equations represent the same line.

In the case, you could imagine that the two lines intersect at every single point!

The goal in this problem, therefore is to make the equatons the same.

Notice that the left side of the top equation can be multiplied by -2 in order to make it match the left side of the bottom equation.

According to the measurements given in the figure, which of the follwing expressions gives the distance, in meters, from the cinema to the bookstore?

Tags

CCSS.HSG.SRT.C.6

The figure shows an emblem that is being designed for a company logo. It features a square inscribed within a diamond, which is inscribed in a circle, which is inscribed iwithn a square. The edges of he outside square are 4 inches in length.

Q. The emblem has how many lines of symmetry, discounting any text that might eventually be used in the logo?

• 2

• 3

• 4

• 6

• 8

Answer explanation

Draw a dot at the ceter of the emblem. Use your pencil to try different lines that result in a mirror image between one part of the figure and the other.

There are four lines of symmetry. One runs vertical through the midpoint. One runs horizontal.

Two run from the corners of the outside square through th midpoint and across.

The figure shows an emblem that is being designed for a company logo. It features a square inscribed within a diamond, which is inscribed in a circle, which is inscribed iwithn a square. The edges of he outside square are 4 inches in length.

Q. What is the area of the shaded region outside of the circle in the emblem, to the nearest 0.1 square inches?

• 2.6

• 3.4

• 4.8

• 5.2

• 6.4

Q. The company wants to create a sign from the image to be posted in front of its building. the length of each edge is to be 400% of its original size. What will be the area of the new sign in square inches?

• 64

• 128

• 256

• 448

• 512

You conduct a survey of music types your classmates prefer. Your results are shown in the circle graph. Based on the information already gathered, if you were to survey another student, what are the odds that this student would prefer pop music (pop music: not pop music)?

• 69:31

• 31:69

• 3:1

• 1:3

• 1:1

• 40

• 45

• 58

• 60

• 75

Tags

CCSS.HSG.SRT.D.9