ACT Quiz 18 - LL - Put it all together

• 9x⁵

• 9x¹¹

• 14x¹¹

• 9x²⁴

• 14x²⁴

A certain perfect square has exactly 3 digits (that is, it is an integer between 100 and 999). The positive square root of the perfect square must have how many digits?

• 1

• 2

• 3

• 4

• Cannot be determined from the given information

Which of the following inequalities represents the graph shown below on the real number line?

On level ground, a 60-foot-tall vertical building casts a 10-foot shadow. At the same time, another vertical building casts a 25-foot shadow. How many feet tall is the second building?

• 10

• 25

• 60

• 120

• 150

If 30% of a given number is 3, then what is 25% of the given number?

• 0.75

• 1

• 2.25

• 2.5

• 4

• 2

• 3

• 4

• 5

• 6

The equation shown below is true for which value of x?

5(x + 2) - 3(x - 6) = 7x

• -8/5

• -5/8

• 5/28

• 8/5

• 28/5

• 12

• 13

• 144

• 156

• 169

• -5

• -1/5

• 1/5

• 5

• 55

Which polynomial must be added to x³ + 2x + 15 so that the sum is 5x³ + 6x + 6?

• 6x³ + 8x + 21

• 5x³ + 4x + 21

• 5x³ + 4x - 9

• 4x³ + 4x - 9

• 4x³ + 8x - 9