Algebra 1

Solve for X

100

–7 – x = 9

x = –16

200

4 = x – 3

x = 7

300

4x –12 = -x + 8

x = 4

400

12x -5 -9 + 4x = 8x – 13x + 15 – 8

x = 7

500

12x + 3 = 4x + 15

x = 2

Linear Equations

100

x + y = 2
2x + 3y = 4

x = 2 

y = 0

200

2x + 7y - 11 = 0

3x - y - 5 = 0

x = 2

y = 1 

300

3x - y = 3

7x + 2y = 20

x = 2 

y = 3 

400

y + x = 3

x = y + 5

x = 4 and y = −1

500

2x + 3y = 22

3x + y = 19

x = 5 and y = 4

Multiplying Polynomials

100

(x – 3) (2x – 9)

2x 2 – 15x +27

200

z * (x² + 2xy + y² + 1)

x²z + 2xyz + y²z + z

300

-5x * (3x + 5y – 6z)

-15x² – 25xy + 30xz

400

-8x2 * (x – y – z)

8x³ + 8x²y + 8x²z

500

3pq * (4p3 – 12pq + 9q2)

12p4q + 36p2q2 – 27pq3

Solve for X Inequalities

100

x + 2 > 12

x > 10

200

3x < 7+3

x < 10/3

300

12 < x + 5

x > 7

400

−2y < −8

y > 4

500

(x-3)/2 < −5

x < −7

Solve Quadratic Equations

100

2(x² + 1) = 5x

x = 2 or 1/2

200

3x² – 8x – 3 = 0

x = 3 or x = -13

300

 (2x – 3)² = 25

x = 4 or x = -1

400

x² + 7x + 10 = 0

x = –2 or -5

500

x² + 10x + 25

x = -5