6th Grade Equations & Inequalities

Wait....we have a SUBSTITUTE??

100

True or False...   A value of x = 4 would make the equation below true.  

4x = 20

False 

(4 x 4 would give you 16)

200

True or false... A value of -5 would make this equation correct. 

24 + y = 19

True

24 + (-5) = 19

300

True or false... The inequality below would be correct using a value of x = 8?

True

-5(8) > -45

-40 > -45

400

Would the value x = -36 make this inequality true?

x ÷ (-8) ≥ 4

Yes

-36 ÷ (-8) ≥ 4

4.5 ≥ 4

500

Which of the following is true if p = 3.4?

3p < 10.2

8.5 ≥ 2.5p

8.5 ≥ 2.5p

8.5 ≥ 2.5 (3.4)

8.5 ≥ 8.5

"I'm all alone, there's no one here beside me..." - The Variable

100

x - 8 = 24

x = 32

200

6t ≤ 120

t ≤ 20

300

x + (-12) = -7

x = 5

400

-7y > -56

y < 8

500

2x + 14 = 28

x = 7

Slide to the left, now slide to the right (GRAPHING)

100

Graph the inequality on a number line

x < 6

(Need to see the visual)

200

Graph the inequality

z ≥ 11

(Again, check visuals)

300

Graph the solution on a number line.

m + 28 ≥ 22

Graph should show 

m ≥ 6

400

Graph the solution. 

5x < 35

Graph should show

x < 7

500

Graph the solution on a number line. 

72 ≥ -9x

Graph should represent

-8 ≤ x    or     x ≥ -8

omg, we're twinning! - (EQUIVALENT EXPRESSION)

100

Are the following expressions equal?

(3 + 5) + 7

&

3 + (5 + 7)

Yes, since it is all addition, the parentheses can move

200

Are the following expressions equivalent?

7 - 2 + 5

&

7 - 5 + 2

No:

7 - 2 + 5 = 10

7 - 5 + 2 = 4

300

Write an equivalent expression to the one below, using the distributive property.  

5(x + 9)

5x + 45

400

Are the following expressions equivalent?

5a + 8 

& 

9a + 1 - 4a + 7

Yes, combining like terms

9a - 4a = 5a

1 + 7 = 8    so...

5a + 8

500

Create an equivalent expression to the following:

3(x + 5) + (5 • 2)

Check, an example may be:

3x + 25

"but what I really mean is..." (Words to Eq/Ineq.)

100

If a question included the phrases 

"fewer than...."

"Under..."

"colder than..."

What inequality symbol would be used?  

The less than symbol

4 < 8

200

Phrases like:

"No fewer than..."

"A minimum of..."

"At least.."

Would go with which inequality symbol?

Greater than or equal to

7 ≥ 5

300

Write an equation you could use with this scenario. 

Max buys x packs of baseball cards.  Each pack contains 15 cards.  If he now has 225 baseball cards, write an equation to represent x, the amount of packs he purchased.  

15x = 225

x = 15

400

Would m + 7 > 50 fit the scenario below?

Mr. Smith has a maximum of $50 to spend at the museum.  A ticket costs him $7.  Write an inequality to represent m, the amount of money he has remaining to spend.  

No, he can spend up to $50 so it should be:

m + 7 ≤ 50

500

Would a solution of h ≥ 4.5 work for the scenario below?

Emily has a goal of walking at least 18 miles this month.  She walks at a rate of 4 miles per hour.  Which inequality statement represents h, the number of hours she would need to walk to reach her goal?

Yes, based on the symbol, she CAN walk exactly 4.5 hours and reach her goal.