Writing Equations and Inequalities

CONNOR PURCHASED SCHOOL SUPPLIES FOR HIS ART CLASS THAT COST $1,175 TO REGISTER. HE PAID $14 FOR EACH COLOR OF PAINT PLUS $55 ON A BRUSH SET. WRITE AN INEQUALITY TO REPRESENT THE TOTAL COST OF THE SUPPLIES SO THAT IT IS LESS THAN THE TOTAL COST OF THE CLASS.

• 
  $14x\ +\ 55\le1,175$

• $55x\ \ +\ 14\ >1,175$

• 
  $14x\ +\ 55\ <1,175$
  

• $55x\ -\ 14\ <1,175$

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

ROMEO IS X YEARS OLD. HIS BROTHER IS TWO TIMES HIS AGE MINUS 2 YEARS. THEIR AGES COMBINED IS EQUAL TO 40 YEARS. WRITE AN EQUATION HE COULD USE TO REPRESENT HIS AND HIS BROTHERS AGE.

• $x-2=40$

• $x\ +\left(2x-2\right)=40$

• $2x-2=40$

• $2x=40-2$

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

FELICIA MAKES $14 AN HOUR WORKING AT FORNEY GROCERY. SHE ALSO MAKES $55 A MONTH DOING CHORES AT HOME. WRITE AN EQUATION TO DETERMINE HOW MANY HOURS X, SHE WORKED AT THE GROCERY STORE IF SHE MADE $1,175 BEFORE TAXES.

• $14x\ +\ 55=1,175$

• $14x=1,175-55$

• $55-14x=1,175$

• $55x+14=1,175$

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

LUNA IS PLANTING FLOWERS AT HER VOLUNTEER ACTIVITY. THEY HAVE ALREADY PLANTED 40 FLOWERS. SHE CAN PLANT 14 FLOWERS PER HOUR. WRITE AN EQUATION TO REPRESENT HOW MANY HOURS, X, SHE MUST WORK TO PLANT ALL 124 FLOWERS.

• $40x-14=124$

• $14x-40=124$

• $14x-124=40$

• 
  

  $14x+40=124$
  

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

CCSS.6.RP.A.3

ERIC’S LUNCH ACCOUNT HAS $25 FOR THE WEEK. ON MONDAY HE PURCHASES A DRINK FOR $1, A HAMBURGER FOR $4, AND COOKIES FOR $1 EACH. WRITE THE INEQUALITY IF HIS TOTAL PURCHASE ON MONDAY IS NO MORE THAN WHAT HE HAS IN HIS ACCOUNT IF HE PURCHASED X NUMBER OF COOKIES.

• $x+5\le25$

• $x-5=25$

• $5x=25$

• $x-25=5$

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.B.8

CAMERON MADE 25 FREE THROWS LAST SEASON. THIS SEASON, HIS GOAL IS TO MAKE 5 FREE THROWS EACH GAME. SO FAR, CAMERON HAS MADE 8 FREE THROWS. WRITE AN INEQUALITY HE COULD USE TO DETERMINE HOW MANY GAMES, X, HE NEEDS TO PLAY IN ORDER TO MAKE NO LESS THAN 25 FREE THROWS

• $5x-8>25$

• $5x+8\le25$

• $5x+8\ge25$

• $8x-5\ge25$

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

JAKE IS SELLING POPCORN TO RAISE MONEY FOR NINJA SCHOOL. SO FAR HE HAS RAISED $40. EACH POPCORN BAG COST $2. THE STUDENT IN THE LEAD HAS SOLD $1,175 WORTH OF POPCORN. WRITE THE INEQUALITY TO REPRESENT HOW MANY MORE POPCORN BAGS HE MUST SELL IN ORDER TO RAISE MORE THAN THE LEAD STUDENT.

• $40-2x\le1,175$

• $2x-40<1,175$

• $40x+2>1,175$

• $40\ +\ 2x>1,175$

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.8

AMAY OWED HER BROTHER $5. SHE ALSO WORKED FOR TWO HOURS AT THE LOCAL ANIMAL SHELTER MAKING X DOLLARS PER HOUR. WRITE THE EQUATION TO REPRESENT THE TOTAL SITUATION IF SHE HAD $25 AT THE END OF THE DAY.

• $5x+2=25$

• 
  

  $2x-5=25$
  

• $25-5=2x$

• $-2x+5=25$

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7