Inequality Review

Presentation

•

Mathematics

•

7th Grade

•

Medium

•

CCSS

6.EE.B.8, 7.EE.B.4B, 6.NS.C.7A

Standards-aligned

Annaliese Bradford

Used 3+ times

FREE Resource

20 Slides • 30 Questions

Solving & Graphing Inequalities (One Step)

INEQUALITY DEFINTION

GREATER THAN

is greater than
is more than

LESS THAN

is less than
is fewer than

GREATER THAN OR EQUAL TO

is greater than or equal to
is at least
is no less than

LESS THAN OR EQUAL TO

is less than or equal to
is at most
is no more than

Inequalities Symbols Summary

Multiple Choice

What does the inequality sign mean?

greater than

less than

greater than or equal to

less than or equal to

Multiple Choice

WHICH SIGN GOES WITH THE PHRASE?

There are fewer than 50 people allowed in this area.

$<$

$>$

$\le$

$\ge$

Multiple Choice

What does the inequality sign mean?

greater than

less than

greater than or equal to

less than or equal to

Multiple Choice

Greater than or equal to

≤

≥

Multiple Choice

WHICH SIGN GOES WITH THE PHRASE?

I need at least 30 orders to meet my qouta.

$<$

$>$

$\le$

$\ge$

Multiple Choice

WHICH SIGN GOES WITH THE PHRASE?

I see more than a dozen seagulls.

$<$

$>$

$\le$

$\ge$

Multiple Choice

Greater than

≤

≥

Multiple Choice

WHICH SIGN GOES WITH THE PHRASE?

I can spend no more than $20 at the store.

$<$

$>$

$\le$

$\ge$

Multiple Choice

Less than or equal to

≤

≥

Open Circles- Use when there is NOT a line under the inequality symbol
Closed Circles- Use when there IS a line

Graphing Symbols

Multiple Choice

When graphing an inequality, you use an OPEN dot when you use which symbol?

<, >

≤, ≥

≤, <

≥, >

Multiple Choice

When you graph an inequality, you used a CLOSED dot when you use which symbols?

≤, ≥

<, >

≤, <

≥, >

If the x is one the left side of the inequality, you can graph following the arrow rule!

Graphing Inequalities

Multiple Choice

What inequality does the number line graph represent?

x≥ 3

x > 3

x < -3

x ≤ 3

Multiple Choice

What inequality does the number line graph represent?

x ≤ -4

x ≥ -4

x < -4

x < 4

Multiple Choice

Match the graph with its inequality.

b > –2

b < –2

b ≥ –2

b ≤ –2

Multiple Choice

Which graph matches the inequality
k < 3?

Solving Inequalities

Example 1

1. Remember we want X BY ITSELF
2. Subtract 3 from both sides

3. Open circle at 1

4. Arrow to the right

Multiple Choice

x + 5 > 7

x > -2

x > 2

x > 12

x > -12

Example 2

1. Add 3 to both sides

2. Switch so the variable is on

the left side

3. Closed circle at 3

4. Arrow to the left

Multiple Choice

r - 14 ≥ 17

r ≥ 3

r ≥ -31

r ≥ 31

r ≥ -3

Since the operation in the inequality is division, we will use multiplication to solve.
Multiply both sides of the inequality sign by 5.
4 times 5=20
x>20
If we were to graph this, the circle would be open!

Multiple Choice

Solve

x<4

x≤1

x≤4

x≥1

Multiple Choice

Solve

z≤1

z>9

z≤9

z<9

Example 3

1. Divide both sides by 6

2. Open circle at -4

3. Arrow to the left

Multiple Choice

8x < 48

x < -6

x > -6

x < 6

x > 6

Multiple Choice

$6x>12$

$x<2$

$x\le2$

$x>2$

$x\ge2$

Example 4

1. Divide both sides by -5

2. Flip the inequality sign!!!

3. Closed circle at 2

4. Arrow to the left

Multiple Choice

Solve the inequality

-4 ≥ g

4 ≤ g

4 ≥ g

4 > g

Multiple Choice

When do you "flip the inequalities sign"?

When you add or subtract a negative

When it's a 1-step problem

When you multiply or divide a negative

When it's a 2-step problem

Multiple Choice

When do you flip the sign of an inequality?

When ONLY multiplying by a negative

When ONLY dividing by a negative

BOTH multiplying or dividing by a negative

Just do it when Ms. Bee tells you to

Multiple Choice

You flip an inequality symbol when you...

subtract

multiply and divide only

multiple by a negative number

multiple or divide by a negative number

Fill in the Blanks

When you MULTIPLY or DIVIDE by a negative number on both sides of an inequality, you have to

Type answer...

the sign.

Multiple Choice

Solve the following inequality!

$-3z\ \ge\ 15$

$z\ge5$

$z\le5$

$z\ge-5$

$z\le-5$

Multiple Choice

Solve the following inequality!

$-5c\ \le\ 30$

$c\ \ge\ -6$

$c\ \le\ -6$

Multiple Choice

s + 9 ≥ -25

s ≥ -18

s ≥ -34

s ≤ 18

s ≥ 34

Multiple Choice

10 ≥ x - 3

x ≤ 13

x ≥ 13

x ≤ 7

x ≥ 7

Solving & Graphing Inequalities (One Step)

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