SAT Math Practice #2

Solving Equations w/ Fractions

100

x + 3/4 = -1/2

What is x = -5/4

200

3/4(x+3)=9

What is x = 9

300

x - 5/6 = 1/3

What is x = 7/6

400

3/2x + 1/2(x-4) = 6

What is x = 4

500

1/4x + 3/2(2x-1) = 2

What is x = 14/13

Rationalizing the Denominator

100

If the denominator consists of the square root of a natural number that is not a perfect square, ____________ the numerator and the denomiator by the ____________ number that produces the square root of a perfect square in the denominator.

What s multiply; smallest 

200

5/√5

What is √5

300

6/√3

What is 2√3

400

7/ √6

What is 7√6/6

500

-4/√7

What is -4√7/7

Conjugates

100

Radical expressions that involve the sum and difference of the ___________________________ are called conjugates. Conjugates are used to rationalize denominators because the product of such a pair contains no ____________.

What is same two terms; radicals

200

(√5 + 4)(√5 - 4)

What is -11

300

(√2 + √7)(√2 - √7)

What is -5

400

5/4-√2

What is 20 + 5√2/14

500

3/3-2√3

What is -3 - 2√3

Adding & Subtracting Polynomials

100

(2x² + 6x + 5) + (3x² - 2x - 1)

What is 5x²  +  4x  +  4 

200

(x²+3xy−9) - (−2y²+5xy+6)

What is x²+2y²−2xy−15

300

(–3x² + 9xy – 5y²) – (4x² + 7xy – 8y²)

What is -7x²+2xy+3y²

400

(2x² + 6y + 3xy) + (3x² - 5xy - x) + (6xy + 5)

What is 5x² + 6y + 4xy - x + 5 

500

3(x² - 2x + 3) - 4(4x + 1) - (3x² - 2x)

What is -20x + 9 

Simplifying Exponents

100

2^{3 +} 2⁶

What is 2⁹

200

t¹⁰/t⁸

What is t²

300

5x⁵/3x³

What is 5x²/3

400

 (–46x²y³z)⁰

What is 0

500

4x³y⁸z²/8x⁶y²z⁴

What is y⁶/2x³_z²