Algebra 1 5 Star project

Linear Equations and inequalities

100

Solve: -10x+24>3x+12

4>x

200

Solve 3x + 9 ≥ –x + 19

x ≥ 5/2

300

Solve: 4x-2 < 8, when x ∈ Z

{…, –2, –1, 0, 1, 2}

400

Find the solution for 7(3x + 2) - 5(2x - 3) > 7.

x > -2

500

The solution of 4(x + 2) - 1 > 5 - 7(4 - x) is

x < 10

Factoring Polynomials

100

According to factor theorem, if (x - a) is the factor of p(x), then

p(a) = 0

200

x^2(2−6x)+4x(4−12x)

x2(2−6x)+8x(2−6x)

300

6x7+3x4−9x3

3x3(2x4+x−3)

400

a^3b^8−7a10b^4+2a^5b^2

a^3b^2(b^6−7a^7b^2+2a^2)

500

2x(x^2+1)^3−16(x^2+1)^5

2(x^2+1)3(x−8(x^2+1)^2)

Quadratics

100

 x^2 – 13x = 30

x=-2 or x=15

200

Solve: (x – 7)^2 + x^2 = (x + 1)^2

x=4 x=12

300

Solve: 27x^2 = 12

3x=-2 3x=2

x=-2/3 x= 2/3

400

Solve: x(x + 4) = 32

x=4 x=-8

500

Solve: 20x^2 – 130x = –200

2x=5 or x=4

x= 5/2 

Systems of inequalities

100

−2≤6x−1<2

.

-1/6≤x<1/2

200

What is the solution of inequality 2x < x - 4 ≤ 3x + 8?

-6 ≤ x < -4

300

Find the solution for 7(3x + 2) - 5(2x - 3) > 7.

x > -2

400

Solve the inequality: -2(y + 3) < 10

y > -8

500

The solution of 4(x + 2) - 1 > 5 - 7(4 - x) is

x < 10

Point Slope

100

What is the formula for point slope form?

y-y1=m(x-x1)

200

Find the slope

y-3=0.5(x+7)

0.5

300

y − 0 = −3(x − 0)

y = −3x

400

y − 2 = 3(x − 3)

y = 3x − 7

500

y − 3 = 5(x − 7)

y=5x-32