Trimester Review Algebra

Systems of Equations

100

y=5x+30

y=2x

(-10,-20)

200

y=2x-6

y=-x

(2, -2)

300

5x+3y=-16

-10x-3y=11

(1, -7)

400

x-6y=-35

-7x-6y=-43

(1, 6)

500

-5x+8y=-21

3x-4y=15

(9, 3)

Exponent Rules

100

(2x³)(5x⁴)

10x⁷

200

x^-5y⁴

y⁴/x⁵

300

(2x³y⁷)³

8x⁹y²¹

400

((x⁴y⁵)²) / y³

x⁸y⁷

500

((3x²)(4x⁵)) / (3x⁹)

4/x²

Radicals

100

sqrt 75

5 sqrt 3

200

4 sqrt 6 + 10 sqrt 6

14 sqrt 6

300

3 sqrt 6 - sqrt 96

- sqrt 6

400

5 sqrt 72 - sqrt 98

23 sqrt 2

500

sqrt 25x¹³

5x⁶ sqrt x

Equations and Inequalities

100

-2x+8=-x+7

1

200

-5x+7 > -9x-1

x>-2

300

-5x-(-2x-8)=-x-6

7

400

3+3(4b-9) > 9b-3-3

b>6

500

20 = |x+21|

-1 and -41

Basic Algebra Skills

100

Find the common difference of the arithmetic sequence

14, 5, -4, ...

-9

200

(3x+7) / (x+3) = 7 / 2

-7

300

-9 > -3x-3 > -24

2 < x <7

400

-7y - 2 - 4x - 2y + 6x + 6y -2

-3y - 4 + 2x

500

f(-3) if f(x) = -4x² + 8x + 11

-49