Int. Algebra - Solving Equations/Inequalities

Systems of Equations

100

What is the x coordinate?

y – 2x = – 4

y = 3x

x = -4

200

Solve for the solution of the systems of equations.

y – 4x = 3

y = 5x

(3, 15)

300

Solve for the solution of the systems of equations.

y = 2x + 3

x + y = 24

(7, 17)

400

Solve for the solution of the systems of equations.

y = x + 7

x + y = 11

(2, 9)

500

Solve for the solution of the systems of equations.

y = x + 10

x + y = 2

(-4, 6)

One Step

100

Solve: m + 5 > -3

What is m > -8

200

Solve: 

x - 10 < 22

What is x < 32

300

Solve: 

-7b > 42

What is b < -6

400

Solve and graph: 

b/3 ≥ -2

What is b ≥ -6

500

Solve, graph, and write in interval notation:

-3n ≥ -9

What is n ≤ 3

(-infinity, 3] 

Two Step

100

Solve: 

v - 4 - 7 ≤ 5

What is v ≤ 16

200

Solve: 

4x + 10 < 22

What is x < 3

300

Solve:  

-5 < 5m - 20

What is m > 3 (or 3 < m)

400

Solve and graph:

-5m - 3 ≥ -18

What is m ≤ 3

500

Solve, graph, and write in interval notation:

1 < -2x + 15

What is x < 7 (or 7 > x)

(-infinity, 7)

3 Step & More

100

Solve:

2x - 2 + 4x < 4

x < 1

200

Solve: 

2y - 5 > 9 + 3y

What is y < -14 (or -14 > y)

300

FREE 300 POINTS

FREE 300 POINTS

400

Solve and graph: 

-6(2x+6) ≥ -108

What is x ≤ 6

500

Solve, graph, and write in interval notation:

3(2 + r) ≥ 15 - 2r

What is r ≥ 9/5

[9/5, infinity)

Absolute Value Equations

100

Solve:  

|8x|=16

x = 2 and x = -2

200

Solve: 

|x + 7|=12

x = 5 and x = -19

300

Solve:

|10x + 1| = 59

x = 29/5 and x = -6

400

Solve:  

|-10x - 4| = 14

x = -9/5 and x = 1

500

Solve:  

|-5 - 8x| = 5

x = -5/4 and x = 0