ACT Prep

Mentality

100

1362 + 67

1429

200

4,328/8

541

300

19²

361

400

Least common multiple of 18 and 54

56

500

Factor the expression

x² - 12x + 64

(x + 16)(x - 4)

Polynomi- WHAT

100

(3x³ - 5x + 11) + (4x² - 9)

3x³ + 4x² - 5x + 2

200

(x² + 2)(3x - 7)

3X³ - 7x² + 6x - 14

300

GCF of 24a²b - 18a³ + 54a²b²

6a²

400

(3x² + 17x + 10)/(x² - 25)

(3x + 2)/(x - 5)

500

Factor 4x³-10x²-12x+30

(4x²-6)(2x-5)

Radical Decisions

100

Cube root of 125

5

200

simplify the square root of 147

7 square root 3

300

simplify the square root of -121

11i

400

square root of 36x⁵y¹²

6x²y⁶ square root x

500

fourth root of 48a¹⁵b⁸c³⁰

2a¹²b²c⁷ square root 3a³c²

The X-Files

100

The value of x in the following equation:

3x + 7 = -14

What is -3?

200

-2 | 7x - 18 | = 5

No Solution

300

16x² - 9 = 16

x = 3/4 and -3/4

400

3(4x + 7) + 11 = x

x = -3

500

Jonny buys x bottles of soap that cost 70 cents each. He paid $2.80 in tax. He spent a total amount of $14. Solve for x

x=16

Complex Zone

100

i²⁹

i

200

(8 - 3i) - (2 + 11i)

6 - 14i

300

(2 +31)(4 - i)

11 + 10i

400

(5 + 2i)/(1 - 3i)

(-1 + 17i)/10

500

i + 5i

6i