Equation and Inequality Expression Word Problems

Solve and then match the correct solution & graph.

• A

• B

• C

• D

at least

• <

• >

• ≤

• ≥

Translate into an inequality:
2 times a number is greater than 6

• 2-x<6

• 2x>6

• 2x>-6

• 2x<6

Jon ate 3 more hotdogs than Kalia.  Amarion at twice as many as Kalia.  They ate 27 hotdogs all together.
Which represents the number of hotdogs Kalia ate?

• x

• x + 3

• 2x

• 2x + 3

Sam make $10.25 per hour working at Cheddars.  He plans to buy a laptop for $550.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

• 10.25h < 550; less than 54 hours

• 10.25h > 550; greater than 54 hours

• 10.25h ≤ 550; at most 54 hours

• 10.25h ≥ 550; at least 54 hours

Sam make $10.25 per hour working at Popeye's. He already has $41 in his bank account. He plans to buy a laptop for $574.  Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. Graph the solution in your workspace.

• 41+10.25h < 574

  less than 52 hours

• 41+10.25h > 574

  greater than 52 hours

• 41+10.25h ≤ 574

  at most 52 hours

• 41+10.25h ≥ 574

  at least 52 hours

Jon ate 3 more hotdogs than Kalia.  Amarion at twice as many as Kalia.  They ate 27 hotdogs all together.
Which is an equation representing the situation?

• x + x + 3 = 27

• x + x + 3 + 2x = 27

• 2x + 3 = 27

• x + 3 + 2x = 27 

Dan has 5 less than twice the amount of cookies as Trinity.  The difference between their amounts of cookies is 7.
Which is an expression that represents Dan's cookies.

• x - 5

• 5 - 2x

• 5 - x

• 2x - 5

Dan has 5 less than twice the amount of cookies as Trinity.  The difference between their amounts of cookies is 7.
Which equation represents the situation?

• 2x - 5 + x = 7

• 2x - 5 - x = 7

• 2x - 5 = 7

• 5 - 2x - 7 = 7

Dan has 5 less than twice the amount of cookies as Trinity.  The difference between their amounts of cookies is 7.
How many cookies does Dan have?

• 24

• 12

• 5

• 19