Integer Operations, Solving Equations & Inequalities

Integer Operations

100

15 + (-9) =

15 + (-9) = 6

200

-12 + 27 =

-12 + 27 = 15

300

-52 — (-24) =

-52 — (-24) = -28

400

-42 — 18 =

-42 — 18 = -60

500

-12 + 14 — (-2) =

-12 + 14 — (-2) = 4

Solving Equations

100

Solve for x:

5x + 2 = 12

x = 2

200

Solve for x:

9 — 3x = 21

x = -4

300

Solve for x:

-3(x — 5) = 12

x = 1

400

Solve for x:

9 — 2(5 — 2x) = 19

x = 5

500

Solve for x:

ˣ⁄₂ + 3(x — 5) = 5x

x = -10

Solving Inequalities

100

Solve the inequality:

4x + 9 > 13

x > 1

200

Solve the inequality:

6 — 7x < 41

x > -5

300

Solve the inequality:

5(8 + 2x) ≥ 50

x ≥ 1

400

Solve the inequality:

4 ≤ 2x — 5(x + 7)

-13 ≥ x   or   x ≤ -13

500

Solve the inequality:

-2(6 — 3x) > 4(4x + 7)

-4 > x   or   x < -4

Graphing Inequalities

100

Graph the following inequality:

x > 5

Graph should have:

open circle on 5

arrow pointing right

200

Graph the following inequality:

x + 7 < 9

Graph should have:

open circle on 2

arrow pointing left

300

Graph the following inequality:

-3x + 9 > 15

Graph should have:

open circle on -2

arrow pointing left

400

Graph the following inequality:

-4(6 — 3x) ≥ 36

Graph should have:

closed circle on 5

arrow pointing right

500

Graph the following inequality:

-6 ≥ 2(x + 6) — 8x

Graph should have:

closed circle on 3

arrow pointing right