Pre-Chapter Review / College Algebra

P.1 Algebraic Expressions

100

Evaluate the Algebraic Expression for the given value  or values

8 + 5x, for x=10

58

200

Evaluate the Algebraic Expression for the given value  or values

4x - y, for x = -2 and y = 3

11

300

Evaluate the Algebraic Expression for the given value  or values

x² - 8x +3, for x =7

-4

400

Evaluate the Algebraic Expression for the given value  or values

x² -3(x - y)³ for  x =5 and y = 3

1

500

Evaluate the Algebraic Expression for the given value  or values

2x + 3y / x + 1 , for x= -2 and y = 4

-8

P.2 Exponents and Scientific Notation

100

(-3)³(-2)²

-108

200

2^-4 + 4^-1

5/16  or .3125

300

5^-3 * 5 

1/25

400

Write the number  in Scientific Notation

3,590,000

3.59 * 10⁶

500

Write the number in decimal Notation 

7.45 * 10^-5

.0000745

P.3 Radicals

100

√300

10√3

200

√27

3√3

300

√144 + √25 

17

400

√(-13)²

13

500

√32

4√2

P.4 Polynomials

100

(-6x³ + 7x² - 9x + 3) + (14x³ + 3x² - 11x -7)

8x³ + 10x² - 20x -4

200

(13x⁴ - 8x³ + 2x²) - (5x⁴ -3x + 2x² - 6)

8x⁴ - 5x³ + 6

300

(3x - 2)(4x² + 3x - 5)

12x³ + x² - 21x + 10 

400

(2x + 5)²

4x² + 20x + 25 

500

(2x + 1)³

8x³ + 12x² +6x +1

P.5 Factoring

100

15x³ + 3x² 

3x²(5x + 1)

200

x² - 11x + 28

( x - 4) (x -7)

300

64 - x²

(8 + x) (8 - x)

400

16x² - 40x + 25

(4x - 5)²

500

9x² - 9x + 2 

(3x - 2) (3x - 1)