Grade 7 - Chapter 3 - Inequalities

Solving Inequalities (A/S)

100

X - 3> 2

X > 5

200

x + (-6) < -5

X < 1

300

x - 3 + 2 ≥  2 + 2

x ≥  5

400

-3 > -2 + x

-1 > x   OR   x < -1

500

x - 5 + 3 - 3 + 1 ≤ 4 + 2 - 1

x ≤ 9

Solving Inequalities (M/D)

100

x ÷  3 > 5

x > 15

200

2x < 12

x < 6

300

x ÷ 12 > 3 + 2

x > 60

400

-5x < 25 

x > -5  (SIGN FLIP)

500

3(x - 2)  ≥  6

x  ≥  4

Multistep

100

x/2  - 3  <  5

x < 16

200

4x - 20 > 20 - 4

x > 9

300

x/15 + 2 < 1

X < -15

400

2/5 + 1/5 < x - 1/5

4/5 < x OR x > 4/5

500

2/5x + 4> 2

X > -5

Graphing

100

Does the arrow on the number line go left or right for x > 5

RIGHT (all numbers bigger than 5)

200

Does the arrow on the number line go to the right or left for x ≤ -33

LEFT (all numbers smaller than -33)

300

For the inequality X > -2, what number is directly to the RIGHT of a -2 on the number line

-1

400

For the inequality x/-2 ≥ -4 , does the arrow go to the left or the right

LEFT (SIGN FLIP) X≤ +8

500

Does the arrow on the number line go to the left or right for the inequality X/-3 > 2

LEFT  answer = X < -6 (have to flip your sign)

Writing Inequalities

100

Write the inequality using X as your variable:

Julie had grown over inches since her last appointment

x > 5

200

Write the inequality using X as your variable:

The height of the tree is less than 55 inches

X < 55 

300

Write the inequality using X as your variable:

Lisa could spend no more than $12 on a ticket

x ≤ 12

400

Write the inequality using X as your variable:

Kenny had to pack more than the sum of 7 boxes and 5 boxes

x > 12