combining expressions
Writing expressions
solve
substitution
Story problems
100

3y+7+2y

What is 5y+7?

100

six less a number

What is x-6?

100

y + 17 = 36

What is y = 19?

Work:

y +17-17=36-17

y=19

100

If a= 12 and b = 22 and c = 13, evaluate 3a + b.

What is 58?

Work:

3*12+22=

36+22=

58

100

Joe had some video games. His friend gave him 5 more. Now he has 24 video games. How many video games did Joe have before his friend gave him more? Write an equation to show this problem.

What is y + 5 = 24?

Work: 

y=Joe's video games

friend gave to him: add 5

y+5=24

200

9y+7-3-6y

What is 3y+4?

200

the sum of five and a number

What is 5+n?

200

23-y= 14

What is y=9?

Work:

23-23-y=14-23

-y=-9

-y / -1 = -9 / -1

y=9

200

If a = 10 and b = 22 and c= 14, evaluate 2b + 3c.

What is 86?

Work:

2*22+3*14=

44+42=

86

200

Mary gave her brother $12.00 on his birthday. He spent some money at the arcade yesterday. If he has $7.75 left. How much money did he spend? Write an equation to show this problem.

What is 12- y = 7.75?

Work:

y=money spent

starts with $12

12-y=7.75

300

2y+3+9y+4-5

What is 11y+2?

300

the product of a number and 11

What is 11n?

300

3y + 14 = 32

What is y=6?

Work:

3y+14-14=32-14

3y=18

3y/3 = 18/3

y=6

300

If a = 4 and b= 5 and c = 12, evaluate ab + 4c.

What is 68?

Work:

4*5+4*12=

20+48=

68

300

Max scored 5 points in the game and Jose scored twice as many. They are the only two players who scored. What was their total score as a team?

What is 15 points?

Work:

Max=5

Jose=2*Max=2*5=10

Max+Jose=5+10=15

400

6-3+7y-8y-12

What is -y-9?

400

six times a number plus three

What is 6x+3?

400

6y - 23 = 13

What is y=6?

Work:

6y-23+23=13+23

6y=36

6y/6=36/6

y=6

400

If a= 13, b= 23, and c= 11, evaluate 3a + b - c.

What is 51?

Work:

3*13+23-11=

39+23-11=

62-11=

51

400

Omar is 1/2 as old as John is. If their combined age is 24, how old is Omar and John?

What is "Omar is 8 years old and John is 16 years old."?

Work:

x=John

x/2=Omar

John + Omar = 24

x+x/2=24 (multiply all by 2)

2x+x=48 (combine like terms)

3x=48

3x/3=48/3

x=16

x/2=16/2=8

500

y+13+5y-17

What is 6y-4?

500

a number less than twenty three

What is 23-x?

500

14 + 5y = 39

What is y=5?

Work:

14-14+5y=39-14

5y=25

5y/5=25/5

y=5

500

If a= 22, b= 14, and c= 11, evaluate c (a- b).

What is 88?

Work:

11(22-14)=

11*8=

88

500

I have three times as many dimes as nickels. If my total is $1.05, how many nickels and dimes do I have?

What is 3 nickels and 9 dimes?

Work:

n=nickels

3n=dimes

0.05n+0.10(3n)=1.05

0.05n+0.30n=1.05 (Multiply all by 100)

5n+30n=105 (combine like terms)

35n=105

35n/35=105/35

n=3

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