Alg 2 Chapter 2 Test Review

Linear Equations and Inequalities

100

Solve:
4x+3=19

x = 4

200

Solve:
3(x−2)=9

x = 5

300

Solve:
5x − 7 = 2x + 8

x = 5

400

Solve:
−2x + 6 > 14

x < -4

500

Solve:
2/3x−5 ≤ 1

x ≤ 9

Absolute Value Equations

100

Solve:
| x | = 9

x = 9

x = -9

200

Solve:
| x - 4 | = 6

x = 10

x = -2

300

Solve:
| 2x + 3 | = 11

x = 4

x = -7

400

Solve:
3| x - 2 | = 12

x = 6

x = -2

500

Solve:
|4x - 1| + 2 = 10

x = 9/4

x = -7/4

Absolute Value Inequalities

100

Solve:
|x| < 5

x < 5 and x > -5

-5 < x < 5

200

Solve:
|x - 3| ≥ 7

x ≥ 10 or x ≤ -4

300

Solve:
|2x + 1| > 9

x > 4 or x < -5

400

Solve:
4|x - 5| ≤ 4

x < 6 and x > 4

4 ≤ x ≤ 6

500

Solve:
2|x - 1| - 3 > 5

x > 5 or x < -3

Systems of Equations (Graphically)

100

How many solutions does a system have if the lines intersect once?

One solution

200

How many solutions does a system have if the lines are parallel?

No solutions

300

How many solutions does a system have if the equations represent the same line?

Infinite solutions (all real #'s)

400

Find the solution:
y = x + 1
y = −x + 5

(2,3)

500

Find the solution:
y = 3x − 2
y = 3x + 4

No solution

Systems of Equations (Algebraically)

100

Solve by substitution:

y = 2x
x + y = 9

(3,6)

200

Solve by elimination:
x + y = 12
x − y = 4

(8,4)

300

DAILY DOUBLE

Solve:
2x + y = 8
x − y = 1

(3,2)

400

Solve:
3x + 2y = 13
x − y = 1

(3,1)

500

Solve:
2x − 4y = 6
x − 2y = 5

No solution