Friday 4/28 - ACT Day #1

The component forms of vectors u and v are given by u = ⟨5,3⟩ and v = ⟨2,−7⟩. Given that 2u + (−3v) + w = 0, what is the component form of w ?

• ⟨-16, 15⟩

• ⟨-4, -27⟩

• ⟨3, 10⟩

• ⟨4, 27⟩

• ⟨16, -15⟩

Hai has $100 available to buy USB drives to back up data for his business computers. Each USB drive has a price of $8, and Hai will pay a sales tax of 7% of the total price of the USB drives. What is the maximum number of USB drives Hai can buy?

• 11

• 12

• 13

• 14

• 15

For how many integers x is the equation 3^{x + 1} = 9^x−2 true?

• 0

• 1

• 2

• 3

• An infinite number

If 115% of a number is 460, what is 75% of the number?

• 280

• 300

• 320

• 345

• 400

Tags

CCSS.6.RP.A.3C

• a

• b

• c

• d

• e

Tags

CCSS.6.RP.A.3C

• a

• b

• c

• d

• e

• a

• b

• c

• d

• e

Tags

CCSS.6.RP.A.3B

• -18

• -26

• -33

• -60

• -75

Tags

CCSS.HSF.IF.A.2

What is the slope of the line through (-2, 1) and (2, -5) in the standard (x, y) coordinate plane?

• 1

• -1

• -4

Tags

CCSS.8.EE.B.5

• Translation to the right 6 coordinate units

• Translation to the left 6 coordinate units

• Translation up 6 coordinate units

• Translation down 6 coordinate units

• Reflection across the line x=6