Geometry ACT Review - E23

The degree measures of the 3 angles of the triangle are expressed in terms of x. What is the value of x?

• 10

• 12

• 24

• 30

• 36

Tags

CCSS.8.G.A.5

In the standard (x, y) coordinate plane, what is the slope of the line through (-3, 1) and (5, 6)?

Tags

CCSS.8.EE.B.5

The lengths of corresponding sides of 2 similar right triangles are in the ratio of 4:5. The hypotenuse of the smaller triangle is 24 inches long. How many inches long is the hypotenuse of the larger triangle?

• 1.25

• 9

• 20

• 25

• 30

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Tags

CCSS.HSG.SRT.C.6

In the figure shown, C is the segment with endpoint A and D. The distance between A and B is 2,000 km, between A an C is 1,600 km, between A and D is 2,500 km. What is the distance, in kilometers, between B and D?

Tags

CCSS.8.G.B.8

In the figure shown, all angles are right angles, and the side lengths given are in inches. What is the area, in square inches, of the figure?

• 42

• 57

• 67

• 89

• 99

Tags

CCSS.3.MD.C.7D

A weeklong summer camp is held in June for children in grades 3-6. Each child enrolled by May 15 received a 20% discount off of regular enrollment fee. For each grade, the table gives the number of children enrolled by May 15 as well as the regular enrollment fee per child. By May 15, Mr Ramirez had enrolled his 2 children for camp. One child was in Grade 4, and the other was in Grade 6. What was the total amount Mr. Ramirez paid to enroll his 2 children?

• $720

• $800

• $820

• $860

• $880

Tags

CCSS.6.RP.A.3C

A weeklong summer camp is held in June for children in grades 3-6. Each child enrolled by May 15 received a 20% discount off of regular enrollment fee. For each grade, the table gives the number of children enrolled by May 15 as well as the regular enrollment fee per child. By May 15, Ms. Chen enrolled her 2 children for camp. One child was in Grade 3, and the other was in Grade 4. For each grade, the names of all the children enrolled by May 15 will be entered into a drawing for a free T-shirt. For each grade, 1 name will be randomly drawn. What is the probability that the names of both of Ms. Chen's children will be drawn?

Tags

CCSS.HSS.CP.B.9

The area of a certain square is 900 square inches. What is the perimeter of this square, in inches?

• 30

• 60

• 120

• 225

• 450

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Among a group of 20 students, 13 students are members of the Math Club, 11 students are members of the Drama Club, and 9 students are members of both clubs. How many of the 20 students are NOT members of either club?

• 4

• 5

• 6

• 11

• 13

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.B.7