Algebraic Equations - Word Problems

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

the product of x and sixteen

• x + 16

• x - 16

• 16x

• x/16

Ben and Jerry together scored 50 points in the big game. If Ben scored 16 points, how many points did Jerry score?

Which equation fits this scenario?

• x + 16 = 50

• x - 16 = -50

• -500 + x = 16

• x - 16 = 500

On first down, a football team lost 16 yds. After two downs, the team had an overall gain of 5 yds. How many yards were gained on second down? Which equation matches this scenario?

• 8x - 3x = 450

• 16 - x = 15

• 1/16x = 45

• -16 + x = 15

One sixth of the candies in a bag of M&Ms are orange. If there are 15 orange candies how many M&Ms are in the bag? Which equation matches the scenario?

• x - 1/6 = 15

• -16x = 15

• 1/6 x = 15

• -15 = 16x

A scuba diver dove 16 ft to an elevation of -50 ft. What was her elevation before the dive?

Which equation matches the scenario?

• x - 1/6 = 50

• x - 16 = -50

• 1/6 x = 50

• -50 = 16x

The number of elephants at the circus was two-fifths of the number of horses. If there were 16 elephants, how many horses were there?

Which equation matches the scenario?

• 2/5x = 16

• 5/2x = 16

• x -16 = 2/5

• 16 + x = 2/5

A chest was resting on the ocean floor 500 ft below the surface. It was lifted to the deck of a ship 16 ft above the surface. How far was the chest lifted?

Which equation matches the scenario?

• 16x = 500

• x - 16 = -500

• 16x = -500

• -500 + x = 16