Algebra 1: Linear Equations & Inequalities

Mixed Bag

100

Solve to 5x - 2 = 0 ?

x = 2/5

200

Simplify Square Root of 80

4"radical"5

300

Define Domain AND Range

Domain: All of the Inputs (x) values

Range: All of Outputs (y) values

400

Classify the fraction 15/5 with all applicable categories

Natural, Whole, Integer, Rational, Real

500

What property is demonstrated below:

2 ( 3 + 5 ) = 2 ( 5 + 3 )

Commutative Property of Addition

Linear Equations

100

Solve to 1/2x + 3 = 1 ?

x = 8

200

Solve: 3x - 1 = -2.

x = -1/3

300

Solve: -1 = -3r + 2r

r = 1

400

Solve: -16 + 5n = -7(-6 + 8n) + 3

n = 1

500

Solve: 10(x + 3) - (-9x - 4) = x - 5 + 3

x = -2

Linear Inequalities

100

Solve -8x > 16 ?

x < -2

200

Solve: 3x - 2 < 0

x < 2/3

300

Solve: 4x + 1 - 1 > -8

x > -2

400

Solve for a: -5(1 - 4a) > -5

a > 0

500

Solve the inequality: -6(1+2x) > 6(2x - 1) + 2x

x < 0

Compound Inequalities

100

Solve: 8 < x - 3 < 0 ?

11 < x < 3

200

Solve: -3x > 15 or 2x + 1 > 7

x < -5 or x > 3

300

Solve: -6 < 2n + 4 < 4

-5 < n < 0

400

Solve: -2(b+1) + 4 < 10 or 3b - 8 < -29

b < -7 or b > -4

500

Solve: -64 < 6b - 4 < -22

-10 < b < -3

Interval Notation

100

Write the interval notation for x >= -3

[-3, infinity)

200

Write the interval notation for x < -8

(-infinity, -8)

300

Write the compound inequality that represents [-3, 11)

-3 <= x < 11

400

Write the compound inequality that represents (-21, -5)

-21 < x < -5

500

Write the inequality notation to describe the following interval:

X>-5 or x<2

(-infinity, +infinity)