ACT Math Practice

Multiple Choice

A point at (-3, 5) in the standard (x,y) coordinate plane is translated right 7 coordinate units and down 3 coordinate units. What are the coordinates of the point after translation?

• (-10, 8)

• (-10, 2)

• (4, 2)

• (4, 8)

• (0,0)

Multiple Choice

Which of the following matrices is equal to

    

  ⌈ 9  −3 ⌉     +     ⌈̅−6  −3 ⌉  

⌈ 7  −4 ⌉ ⌈ 5 7 ⌉

• ⌈15 6⌉

  ⌈12 3⌉

• ⌈15 —6⌉

  ⌈12 —3⌉

• ⌈ 3 6 ⌉

  ⌈12 —3⌉

• ⌈3 —6 ⌉

  ⌈12 3 ⌉

• ⌈3 —6⌉

  ⌈12 —3⌉

Multiple Choice

A function, ∱, is defined as ∱ (x, y) + 2x² − 3y. What is the value of ∱ (−4, 3)?

• 40

• 32

• 23

• 0

• −41

Multiple Choice

A certain group of children consists of 6 children, 4 of whom are age 10 and 2 of whom are age 4. What is the mean age of the children in the group?

• 5

• 7

• 7.5

• 8

• 10

Multiple Choice

In figure 1 (see handout), AC II DE; BD = AD; D and E are on AB and BC, respectively; AC = 10 feet, and the height of Δ ABC is 12 feet. What is DE, in feet?

• 2

• 3

• 4

• 5

• 6

Multiple Choice

In the standard (x,y) coordinate plane, what is the slope of the line 5x + 7y = 8

• −5_

  7

• 5_

  7

• − 8_

  7

• 8_

  7

• 5

Multiple Choice

In a poll of 400 registered voters, 224 voters favored a proposal to increase funding for local schools. Suppose the pole is indicative of how the 22,000 registered voters will vote on the proposal. Which of the following values shows how many of the 22,000 registered voters will be expected to vote in favor of the proposal?

• 12,000

• 12,320

• 13,230

• 14,000

• 14,230

Multiple Choice

In figure 2 (see handout), AD intersects BG at C and is perpendicuar to DE. Line DE intersects BG at F. Given that the measure of <EFG is 30⁰, what is the measure of <BCD?

• 110⁰

• 115⁰

• 120⁰

• 130⁰

• 155⁰

Multiple Choice

What is the sum of the 2 solutions of the equation x² + 11x + 30 = 0?

• −30

• −5

• −5

• −11

• 11

Multiple Choice

The volume of a sphere is 4π r³ /3, where the r is the radius of the sphere. What is the volume, in cubic yards of a sphere with a diameter of 8 yards?

• 64π

  3

• 128π

  3

• 250π

  3

• 256π

  3

• 256π

Multiple Choice

According to a soil analysis, a certain lawn requires an application of 50.0 kg of nitrogen phosphate when the average temperature is 75.0⁰F. To avoid burning the grass, the required application amount decreases 1.5 kg for each 2.0⁰F. To the nearest 1.0 kg, what is the required application amount of nitrogen phosphate when the average temperature is 85.0⁰F?

• 23.5

• 33.5

• 42.5

• 53.5

• 57.5

Multiple Choice

The perimeter of a certain scalene triangle is 100 inches. The side lengths of the triangle are represented by 5x, 3x+30, and 2x+20, respectively. What is the length, in inches, of the longest side?

• 5

• 20

• 35

• 40

• 45

Multiple Choice

The mayor of Westhaven is deciding how to assign 5 council members to a row of 5 chairs. From how many different arrangements can she make?

• 100

• 110

• 120

• 130

• 140

Multiple Choice

The sum of 3 and 300% of 2 has the same value as which of the following calculations?

• 100% of 5

• 200% of 3

• 300% of 3

• 400% of 1

• 400% of 2

Multiple Choice

Refer to figure 3 (see handout). What is the area of the patio surrounding the pool?

• 300

• 600

• 800

• 900

• 1000