Solve Equations and Inequalities

The answer to this inequality 5 − 2t < -4 is t > 9/2

Why does the inequality change from the less than symbol to the greater than symbol.

• I will divide by a negative 2.

• I will multiply by a negative 2.

• I will add negative 2.

• I don't know; I am negative.

Solve for t.

6t + 4 ≤ -2

• t ≤ -1 

• t ≤ 1

• t=1

• 1=t

Amanda rented a bike from Shawna's Bikes. They charged her $2 per hour, x, plus a $10 fee. Amanda paid less than $27. Which inequality represents this situation and what quantities are true for x?

• 2x+10≥27, where x≥8.5

• 2x+10<27, where x<8.5

• 2x+10≤27, where x≤8.5

• 2x+10>27, where x>8.5

Select all the equations where x=3 is a solution. (3 total)

• x - 3 = 0

• 1 + x = 2

• 9 - x = 3

• 6 = 2x

• x² = 9

Which equation describes the table? 

• y = 1/4x 

• y = 4 - x 

• y = 4 + x 

• y = 4x 

Which equation matches the table?

• c = 2h

• c = 6h

• c = 10h

• c = 12h

Which equation describes the table shown:

• y = 1x + 2

• y = 1x - 2

• y = 2x + 1

• y = -2x + 2

Erin can read at least 80 words per minute. Write an inequality to show this situation. 

• x > 80

• x < 80

• x ≥ 80

• x ≤ 80

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

• <, >

• ≤, ≥ 

• <,≥

• ≤,>

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

• ≤, ≥ 

• <, >