SCYCA - GED Prep

Polynomials

100

Simplify: 

-5(a - b - c)   

-5a + 5b + 5c 

200

Simplify: 

5x³ - 14x² - 10x + 3 - (4x + 3) * x² - (8-10x)

x³ - 17x² -5

300

Simplify the expression:

20x²y⁶z⁸ / 4x²y⁵z

5yz⁷

400

Simplify the expression:

- (5p + 5) + (6p + 3) - 3p + (p - 1)

-p - 3

500

Simplify the expression: 

(a + b)(a² + 2b)(a + 3b)

a⁴ + 4a³b + 3a²b² +2a²b + 8ab² + 6b³

Slope

100

Find the slope: 

(2,-5) , (6,13)

9/2

200

What is the slope of a line parallel to 

2x - 4y = 6

1/2

300

Write the equation of a line given the points

(3,2) , (-5,2)

y = 2

400

Find the slope given the points

(3, -1/4) and (-2, 1/2) 

-3/20

500

What is the slope of a line perpendicular to 

4x = 3 - 2y

1/2

Order of Operations

100

Which operation comes first; multiplication or division

The one that comes first when reading the problem from left to right

200

9 + (5 - 2)² - 4 / 2

16

300

7x² + 2 - 5 [2(x² - 1) + 8]

-3x² - 28

400

(-2) - (-10) * [ (-4) - ((-4)³ + (-10))]

338

500

[5 - (9x² / 3x²)²] * 4x + 6x

-10x

Inequalities

100

12x - 1 < 3(5x - 3) 

3 < x 

200

4(a + 8) - 7(a - 1) < 12

a > 9

300

15x - 4 // 2 < 1 + 6x 

x < 2

400

4x - 2(3x + 7) < 6 + 5 - (x - 3/5)  

x > -25  3/5

500

-1/2x - 7 > 3/4x - 5/6 - 1/4x - 37/6

0 > x

Surprise!

100

Simplify

(6x² + 2x - 4) - (2x² - 5x + 1)

4x² + 7x - 5

200

Evaluate 

2x² - 4xy + 3y²  for x = 5, y = -1

73

300

Divide 

12p³q - 16p⁵q² + 10p⁴q⁴ // 8p²q³

3p/2q² - 2p³/q + 5p²q/4

400

Solve the system of equations

2x - 8y = 10

3y = 9

(17,3)

500

(x - 3)(x + 4) - 2(3x - 2) = (x - 4)²

x = 8/3