Semester 2 PCM

Solving systems of equations

100

What is the y-intercept of this line?

y=2x+3

3

200

What is the slope of this line?

y=1/2 x - 10

1/2

300

Solve this system by graphing:

y=2x+4

y=1/2 x +1

(-2,0)

400

Solve this system using substitution:

y=3x+2

4x+y=16

(2,8)

500

Solve this system using elimination:

3x-y=10

4x+y=-3

(1,-7)

Exponent Rules

100

Simplify:

x³ y²  *x⁴ y⁵

x⁷ y⁷

200

Simplify:  (xy² )⁵

x⁵ y¹⁰

300

Simplify:  a³ b⁶ /a² b²

ab⁴

400

Simplify:   (2a³ b⁵)² /4ab

a⁵ b⁹

500

Add these polynoimials:

(3x - y + z²) + (2x - y + 4z² )

5x - 2y + 5z²

Multiplying polynomials

100

Multiply:

5(3x² -4y)

15x² -20y

200

Multiply:

2y (3y+12)

6y² +24y

300

Multiply:

(x+5)(2x-1)

2x² +9x-5

400

Multiply:

(2x+y)(x-3y)

2x² -5xy-3y²

500

Multiply:

(x+1)(x² +3x+2)

x³ +4x² +5x+2

Factoring

100

Factor out a GCF:

5x² +15x

5x(x+3)

200

Factor out a GCF:

3x² -12x+6

3(x² -4x+2)

300

Factor:

x² +4x+4

(x+2)(x+2)

400

Factor:

x² -25

(x+5)(x-5)

500

Factor:

a² -9b²

(a+3b)(a-3b)

Miscellaneous

100

What number comes next in the Fibonacci sequence?

13, 21, 34,...

55

200

What is the sum of the 12th row of Pascal's triangle?

2¹² or 4096

300

What number represents the Golden Ratio? Include 3 decimal places

1.618

400

Write this number in scientific notation:

54,000,000

5.4 x 10⁷

500

Expand this binomial using Pascal's triangle:

(x+y)⁵

x⁵ +5x⁴y+10x³y²+10x²y³+5xy⁴+y⁵