Expressions and Operations SOL Review

Translations

100

Translate: 

Five less than the product of ten and a number.

10x-5

200

Translate:

Twice the sum of a number and three.

2(x + 3)

300

Translate:

Three less than the product of two and a number.

2x - 3

400

Translate:

Seven less than three times the square of a number.

3x² - 7

500

Given the expression "three less than a number", what is the value of the expression if the number is equal to 7.

4

Evaluations

100

Evaluate 6 - 3a +2b, 

if a = 0 and b = 4.

14

200

Evaluate 4a - 5b 

if a = 1 an b = -3

19

300

Evaluate (x + y)²

when x = 1 and y = -1

0

400

Evaluate 2x + 2(xy - z) 

if x = 3, y = 4, and z = -1

32

500

Evaluate x³/(2yz-3)

when x = 8, y = 3, and z = -1

-34 2/15

Exponents

100

Simplify (x²/y⁴)³

x⁶/y¹²

200

Simplify (-3a²b)(2ab³)

-6a³b⁴

300

Simplify (-15x⁵y³)/(-25x⁸y⁵)

3/(5x³y²)

400

Simplify 6(x¹⁰)⁰

6

500

(x^-3)(x^-8)

1/x¹¹

Radicals

100

Write in simplest form

/48    (radical 48)

4/3    (4 radical 3)

200

Write in simplest radical form:

/112x⁶y³z⁵

4x³yz²/7yz

300

Simplify the radical:

/50x²y⁷z⁸

5xy³z⁴/2y

400

Simplify

³/27x⁶y³  (cube root)

3x²y

500

Simplify

-3/18 - /8  (-3radical 18 - radical 8)

-11/2   (-11 radical 2)

Polynomial Operations

100

Simplify -3x(x² - 1)

-3x³ + 3x

200

Simplify (x + 2)(x + 3)

x² + 5x + 6

300

Simplify 

(3x² - 5x + 1) - (5x² -2x + 3)

-2x² - 3x -2

400

What are the factors of 100x² - 9

(10x + 3)(10x - 3)

500

Factor 5x² - 50x + 105

5(x - 7)(x - 3)