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Solve Equations
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Write Equations
Write equations from word problems
100

x + 18 = 42

What is x = 24

100

Don had 42 marbles. He lost 14 of them.  Write and solve an addition equation to find how many he has left

42 = 14 + m

m= 28 marbles

100
Write an equation and solve: Two more than a number is Fifty
What is 2 + x = 50 x = 48
100

Emma gets paid $10 for babysitting. She spends $2 on a package of trading cards. Write and solve an equation to show how much money Emma has left

What is x + 2 = 10 x = 8

200

2x = 22

What is x=11

200

The girls long jump record at Ella's school is 18 feet 2 inches.  Ella's longest jump is 17 feet 8 inches.  Write an equation that represents how much farther Ella has to jump to equal the long jump record.  Solve the equation.

Long jump record = 18 feet 2 inches or (18 X 12 + 2, which is 218 inches).

Ella's longest jump = 17 feet 8 inches or (17 X 12 + 2, which is 212 inches).

x = 218 inches - 212 inches

x = 6 inches (to equal the record)

200
Write an equation and solve: A number minus 30 is ninety one
What is x - 30 = 91 x = 121
200
Nate gets paid $18 for mowing a lawn. He spends $5 on a package of trading cards and $6 on lunch. Write and solve an equation to show how much money Nate has left
What is 5 + 6 + x = 18 x = 7
300
x/3 = 5
What is x = 15
300

Shannon has $6 more than twice the amount of  money that Dave has.  If Shannon has $14, write an equation and solve how much money Dave has.

x represents the amount of money Dave has

6 + 2x = 15

x=

300

The class must raise at least $50 to go on a field trip. They have collected $10. Write an equation to show how much the class still needs to collect to go on the trip.  Solve the equation.

x = what the class still needs to collect

x = $50 - $10

x = $40

300
Write an equation and solve: Five less than a number is sixty nine
What is x - 5 = 69 x = 74
300
Anthony spent $36 on 3 pair of jeans. If each pair of jeans costs the same amount, write an algebraic equation that represents this situation and solve to determine how much one pair of jeans costs.
What is 3x = 36 x = 12
400

Solve: 

5 1/4 = T + 2 1/2

get variable T by itself by subtracting 

2 1/2 on both sides

5 1/4 - 2 1/2 = T + 2 1/2 - 2 1/2

5 1/4 - 2 1/2 = T

21/4 - 5/2 = T

21/4 - 10/4 = T

11/4 = T

400

Jet hit 2 home runs in the game.  He was walked 3 times in the game.  Which equation below best represents how many time Jet got to bat during the game?  Solve the equation.

a) b = 2 X 3

b) b = 3 - 2

c) b = 3 / 2

d) b = 2 + 3  

d) b = 2 + 3

b = 5

400

The elevator has a weight limit 1,200 pounds. There are 3 people on the elevator who each weigh 200 pounds. Write an equation to represent how much more weight the elevator can hold without going over the limit.

w = the amount of remaining weight the elevator can hold

x = 1200 - 3(200)

x = 1200 - 600

x = 600 more pounds the elevator can hold

400
Write an equation and solve A number nine times is sixty three
What is 9x = 63 x = 7
400
Morgan spent $61 on 4 pair of jeans. If each pair of jeans costs the same amount, write an algebraic equation that represents this situation and solve to determine how much one pair of jeans costs
What is 4x = 61 x = 15.25
500

0.55s = 2.75

What is s = 5

500

Solve: 3y = 21

get the variable y by itself:

3y = 21  (opposite of multiplication is division)

3y / 3 = 21 / 3

y  = 3


500

Solve the equation:

4y = 2 1/4 + 5 3/6

get common denominators for the fractions:

4y = 9/4 + 33/6

4y = 27/12 + 66/12

4y = 93/12

y = 93/12 divided by 4

y = 93/12 X 1/4

y = 93/48

y = 1 45/48 or 1 15/16

500
Write and equation and solve Twice a number is four more than twelve
What is 2x = 4 + 12 x = 8
500
Seritte is saving her money to buy a new pony which costs $675. She has already saved $25. She earns $50 a week working at the stables. Write and solve an equation to show how many weeks it will take Sadie to earn enough money to buy a pony
What is 25 + 50x = 675 x=13 weeks
600

The perimeter of a triangle is 36 inches.  The base of the triangle is 20 inches.  The other 2 sides have an equal length.  Write and solve and equation that represents the length of the other 2 sides.

2s = 36 - 20

2s = 16 (divide both sides by 2)

s =  8