ACT Prep 16-22

Among the following arithmetic operations, which could the emoticon ⊕ represent given that the equation (8 ⊕ 2)² - (4 ⊕ 1)² = 48 is true?

• I only

• III only

• II and III only

• I and III only

• I, II, and III

Which of the following equations represents the linear relation shown in the standard (x,y) coordinate plane below?

• y = -5x

• y = -6x

• y = -2x + 2

• y = -5x + 6

• y = -2x + 6

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

An integer, x, is subtracted from 6. That difference is then multiplied by 3. This product is 15 more than half the original integer. Which of the following equations represents this relationship?

• 3(6 - x) = x/2 + 15

• 3(6 - x) + 15 = x/2

• 3(6 - x) = 15 - x/2

• x - 6 x 3 = 15/2

• 6 + 3 = x/2 + 15

Tags

CCSS.8.EE.C.7B

The employees of two factories, X and Y, are comparing their production records. Factory X has already produced 18,000 units and can produce 120 units per day. Factory Y has produced only 14,500 units but can produce 155 units per day. If d represents the number of days, which equation can be used to determine when X's total production equals Y's total production?

• 18,000 + 120d = 14,500 + 155d

• 18,000 + 155d = 14,500 + 120d

• (18,000 + 120)d = (14,500 + 155)d

• (120 + 155)d = 18,000 - 14,500

A ramp used to access the side entrance to the DPC Candy Store, which is located 7 meters above the ground, covers 24 meters along the level ground from the edge of the building. How many meters long is the ramp?

• 13

• 14

• 17

• 23

Tags

CCSS.8.G.B.8

The expression 9(y + 3) - 2(4y - 4) is equivalent to:

• y - 1

• y + 15

• y + 18

• y + 23

Tags

CCSS.6.EE.A.3

If a + 3b = 27 and a - 3b = 9, then b = ?

• 3

• 9

• 14

• 18

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6