Algebra: Unit 3 Review

Order of Operations

100

Simplify the Expression:

4x(x + 8) - 3x + 4 - x²

3x² + 29x + 4

200

50 + [(2+3)² + 25]

100

300

5^2[(4*5) div 10]

50

400

[(56 / 7)^2 + 6] - (25-15)

60

Equations

100

1 = -2 - (4 - x)

x = 7

200

-14 1/2 = 3/2 x

x = -29/3

300

6x - 2(3 + 3x) = -6

All Real Numbers

400

2(3x + 3) = 3(2x + 3)

No Solutions

Literal Equations

100

ax + b = c 

Solve for x.

x = (c - b)/a

200

A + B/x = C

Solve for x.

x = B / (C - A)

300

Ay + B = Cy + D        

Solve for y

y = (D - B) / (A - C)

400

x = (y + A) / (y - B)

Solve for y.

y = (A +Bx) / (x - 1)

Inequalities

100

-8h + 11 > -5

h < 2

2 > h

200

14 + 2r < 3r - 6

20 < r 

r > 20

300

8b - 3 > 4(2b + 3)

No solution

400

2(5w - 1.2) le 7 + 10w

All Real Numbers

Compound Inequalities

100

2m - 1 le 5  and 5m > -25

-5 < mle 3

200

-18 ge 3(4g +2) or 10 < 9g - 17

-2 ge g or 3 < g

300

-7 le 7(3 + 2p) le 35

-2 le p le 1

400

-7 < (7-2x)/5 <3

21 > x > -4

-4 < x < 21