Inequalities and Equations

Number Line

100

Graph  x > 2 on the number line

Open circle at 2. Goes to the right.

200

Graph x ≤ 0 on the number line

Filled in circle. To the left.

300

Solve then graph     x + 1 > 2     on the number

x+1>2 solved is x>1

Open circle. Arrow to the right.

400

A number line shows an open circle at 5 and the arrow is pointing to the left. WRITE AN INEQUALITY FOR THIS.

x<5   OR    5>x

500

A number line shows a filled in circle at -3 and the arrow is pointing to the right. WRITE AN INEQUALITY FOR THIS.

x≥-3   or   -3≤x

Give a Value

100

Give 3 values that make y>-10 true

EXAMPLES:   -9, -8, -7, 0, 1, 2, 10, 1000000

200

What is the greatest value that makes y≤-5 true

-5 because all other values are less than -5

300

Give 3 values that make y+4 < 2 true

Anything less than -2, such as -3, -4 ,-5, -10000

400

List 3 values that make -2y ≤ 6 true

Anything greater than or equal to -3, 

You could say -3, -2, -1, 0, 1, 2, ....

500

What are 3 values that make -5y ≥ -50 true?

Anything less than or equal to 10

Examples: 10, 9, 8 ,7, 6, etc.

Solve it

100

Solve the inequality    x - 8 > -5

Add 8 to both sides

   x > 3

200

Solve the inequality   -4y < 20

y>-5

This is one where we switch the sign since y is times a negative

300

Solve the inequality    2a + 1 ≤ 15

subtract 1 then divide by 2

   a≤7

400

Solve the inequality    -6c - 4 ≤ 20

Add 4 then divide by -6

You must flip the inequality symbol

c ≥ -4

500

Solve the inequality    -3m + 9 > 18

Subtract 9 then divide by -3

Must flip the inequality symbol

m < -3

Distribution

100

Distribute the following    3(x + 5)

3x + 15

200

Distribute the following   -3(y+4)

-3y - 12

300

Distribute    -2(a - 9)

-2a + 18

400

Solve the equation    4(x+2)=20

4(x+2)=20

4x+8=20

    4x=12

      x=3

500

Solve    5(h - 4)=10

5(h - 4)=10

5h-20=10

   5h = 30

      h = 6