Alg II - Ch 1 Review

Real Numbers

Equations

Words & Formulas

Inequalities

Absolute Value

100

(pi)

Irrational

100

n + 32 = 14

n = -18

100

the cube of the sum of 6 and n

(6+n)³
(Alternate Answer: (n + 6)³

100

Inequalities using <,> have a graph with an _____ circle, while inequalities using ≤,≥ have a graph with a _______ circle.

Open, Closed

100

Solve: |m| < 7

-7 < m < 7 (Alternate answer: m < 7 AND m > -7)

200

Natural, Whole, Integer, Rational

200

5x - 4 = 56

x = 12

200

Rewrite: Ax + By = C, for y

y = (-Ax + C)/B

200

6x - 13 < 11

x < 4

200

When using absolute value, the final solution uses which conjunction given:
if =: then ______
if <,≤: then ______
if >,≥: then _____

=: 'OR'
<,≤: then AND
if >,≥: then OR

300

7/3

Rationals

300

-3k + 7 = 26

k = -19/3

300

21 less than the quotient of x and 7

(x/7) - 21

300

15 - 4v ≤ 8

v ≥ 7/4

300

Part 1: |c - 9| > -4

Part 2: |b - 11| < -8

Part 1: {All Real Numbers}

Part 2: Ø

400

√121

Natural, Whole, Integer, Rational

400

3(2y - 5) = 65

y = 40/3 or 13 1/3

400

Evaluate in terms of pi: SA_sphere= 4(pi)r², if r = 0.5 cm

pi sq. cm

400

3n + 2 > - 13 OR 5n + 2 < 12

{All Real Numbers} (Solved: n > -5 OR n < 2)

400

|3d - 2| > 7

d > 3 or d < -5/3

500

-28/4

Integers, Rationals

500

5z - (7z + 8) = 6z + 16

z = -3

500

Rewrite: A = (1/2)h(b₁ + b₂), for h

h = 2A/(b₁ + b₂)

500

-11 < 3x - 7 ≤ 14

(-4/3) < x ≤ 7

500

|x + 1| = 2x - 2

x = 3 (solution) x = 1/3 (extraneous)