ACT Geometry

John has x red pencils, and three times as many red pencils as blue pencils. If he has four more yellow pencils than blue pencils, then in terms of x, how many yellow pencils does John have?

• x + 4

• x + 7

• x/6

• (x + 12)/6

• (x + 12)/3

Tags

CCSS.8.EE.C.7B

• 3x + 2

• 3x - 2

• 3(x - 2)

• 3(x + 2)

• x^2 - 2

Tags

CCSS.HSA.APR.D.6

In my dear Aunt Sally’s math class, there are four exams. The first three exam scores are averaged, and the resulting score is averaged with the final exam score. If a, b, and c are the first three exam scores, and f is the final exam score, which of the following examples gives a student’s final score in the class?

• a + b + c + f

Tags

CCSS.6.EE.B.6

In a piggy bank, there are pennies, nickels, dimes, and quarters that total $2.17 in value. If there are 3 times as many pennies as there are dimes, 1 more dime than nickels, and 2 more quarters than dimes, then how many pennies are in the piggy bank?

• 12

• 15

• 18

• 21

• 24

Which of the following represents the range of solutions for inequality -5x - 7 < x + 5?

• A

• B

• C

• D

• E

Tags

CCSS.7.EE.B.4B

Point B (4,3) is the midpoint of line segment AC. If point A has coordinates (0,1), then what are the coordinates of point C?

• (-4,-1)

• (4,1)

• (4,4)

• (8,5)

• (8,9)

Tags

CCSS.HSG.GPE.B.6

What is the slope of the line based on the equation 5x - y = 7x + 6?

• -2

• 0

• 2

• 6

• -6

Tags

CCSS.8.EE.B.5

What is the slope of the straight line passing through the points (−2,5) and (6,4)?

Tags

CCSS.8.EE.B.5

What is the distance between points A (2,2) and B (5,6)?

• 3

• 4

• 5

• 6

• 7

Tags

CCSS.HSG.GPE.B.7

• 30°

• 80°

• 90°

• 110°

• 120°

Tags

CCSS.8.G.A.5