Write and Solve Equations with Variables on Both Sides #2

WRITE AN EQUATION TO REPRESENT THE SITUATION

Two more than a certain number is 15 less than the product of  $\frac{7}{8}$   and the number.

•  $x+2\ =15-\frac{7}{8}x$  
  

•  $x\ +2\ =\frac{7}{8}x\ +15$  

•  $x\ +\ 2\ =\ \frac{7}{8}x-15$  

•  $x\ -2=\frac{7}{8}x\ -\ 15$  
  

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

WRITE AN EQUATION TO REPRESENT THE SITUATION

Graham is hiking at an altitude of 14,040 feet and is descending 50 feet each minute. Max is hiking at an altitude of 12,500 feet and is ascending 20 feet each minute. How many minutes will it take Graham and Max to meet at the same altitude?

• 14,040x – 50 = 12,500x + 20

• 14,040x + 50 = 12,500x - 20

• 14,040 – 50x = 12,500 + 20x

• 14,040 + 50x = 12,500 - 20x

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

CCSS.6.NS.C.5

SOLVE THE EQUATION

Graham is hiking at an altitude of 14,040 feet and is descending 50 feet each minute. Max is hiking at an altitude of 12,500 feet and is ascending 20 feet each minute. How many minutes will it take Graham and Max to meet at the same altitude?

• 20 minutes

• 21 minutes

• 22 minutes

• 23 minutes

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

CCSS.6.NS.C.5

SOLVE THE EQUATION

Graham is hiking at an altitude of 14,040 feet and is descending 50 feet each minute. Max is hiking at an altitude of 12,500 feet and is ascending 20 feet each minute. At what altitude will Graham and Max meet?

• 12,940 feet

• 12,920 feet

• 12,840 feet

• 12,820 feet

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CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

CCSS.6.NS.C.5

WRITE AN EQUATION TO REPRESENT THE SITUATION

Nick and Adam workout together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is losing about 2 pounds each week. Write an equation that can be used to find the number of weeks that it will take them to weigh the same amount.

• 160 - 3x = 195 + 2x

• 160 + 3x = 195 – 2x

• 160x + 3 = 195x – 2

• 160x - 3 = 195x + 2

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

SOLVE THE EQUATION

Nick and Adam workout together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is losing about 2 pounds each week. After how many weeks will the two weigh the same amount?

• 5 weeks

• 6 weeks

• 7 weeks

• 8 weeks

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

SOLVE THE EQUATION

Nick and Adam workout together. Nick weighs 160 pounds and is gaining about 3 pounds per week. Adam weighs 195 pounds and is losing about 2 pounds each week. After 7 weeks, how much will the two weigh?

• 161 pounds

• 171 pounds

• 181 pounds

• 191 pounds

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

WRITE AN EQUATION TO REPRESENT THE SITUATION

Jaycie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn’t have a membership, so she pays $8.25 each movie she sees. How many movies would they have to see in a year in order to pay the same amount that year?

• 27 + 6x = 8.25x

• 27 - 6x = 8.25 - x

• 27 + 6x = 8.25 + x

• 27 - 6x = 8.25x

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

SOLVE THE EQUATION

Jaycie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn’t have a membership, so she pays $8.25 each movie she sees. How many movies would they have to see in a year in order to pay the same amount that year?

• 11 movies

• 12 movies

• 13 movies

• 14 movies

Tags

CCSS.6.EE.A.4

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

SOLVE THE EQUATION

Jaycie has a VIP membership to a movie theater, so she pays $27 a year and $6.00 for each movie she sees. Claire doesn’t have a membership, so she pays $8.25 each movie she sees. How much will Jaycie and Claire pay for the

year?

• $89

• $99

• $109

• $119

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.RP.A.3