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​Solving Two-Step Inequalities

7th Grade: ​Lesson 7.7A

Match

Match each phrase with the correct symbol.

• $$>$$  

• $$\ge$$  

• $$\le$$  

• $$<$$  

• $$\ne$$  

greater than

greater than or equal to

less than or equal to

less than

not equal to

• greater than

• greater than or equal to

• less than or equal to

• less than

• not equal to

​When graphing inequalities, the arrow should point toward the possible solutions.

​Graphing Inequalities​

​x > 6 or 6 < x

means x is any number that is greater than 6.

Drag and Drop

When graphing inequalities:

Use an open circle for ​​

Placeholder

.

Use a closed circle for ​​​​

Placeholder

.

Drag these tiles and drop them in the correct blank above

> or <

≥ or ≤

Match

Match each statement with the correct graph.

y < 6

y > 6

y ≤ 6

y ≥ 6

• y < 6

• y > 6

• y ≤ 6

• y ≥ 6

​If you multiply or divide both sides by a negative number, you must flip the inequality symbol.

Solve like an equation by isolating the variable on one side of the inequality.

​Solve Inequalities

-2x + 3 > 9

​-2x > 6

x < -3​

Drag and Drop

When solving inequalities, if you multiply or​ ​

Placeholder

both sides by a ​

Placeholder

number, you must ​

Placeholder

the ​

Placeholder

symbol.

Drag these tiles and drop them in the correct blank above

divide

negative

flip

inequality

add

positive

equal

Multiple Choice

Solve.

$$3n+3\ge30$$  

• $$n\le9$$  

• $$n\ge9$$  

• $$n\le11$$  

• $$n\ge11$$  

Multiple Choice

Solve.

$$-8x+7<15$$  

• $$x>1$$  

• $$x<1$$  

• $$x>-1$$  

• $$x<-1$$  

Multiple Choice

Solve.

$$17\le-2m-3$$  

• $$-10\ge m$$  

• $$-10\le m$$  

• $$-7\ge m$$  

• $$-7\le m$$