Evaluating and Simplifying expressions and equations

Expressions (7.EE.1)

100

Combine like terms:

3a +4 +6a -12

9a-8

200

Distribute the following expression:

2.5 (6c+4)

15c+10

300

(13y+4) - (2y -6)

11y +10

400

Distribute then combine like terms:

4a + 3(2a +4)

10a +12

500

Double distribute and simplify by combining like terms:

4g + 6 (1.5g-3) -2 (g+2.5)

11g-23

2 step Equations (7.EE.4)

100

4y +6= 18

y=3

(subtract 6 then divide by 4)

200

0.5b -6=20

b=52

(add 6, divide by 0.5 or multiply by 2)

300

b/4 + 1.2=15

b=55.2

(subtract 1.2 then multiply by 4)

400

2 (3a-4) +12= 19

a=2.5

500

1.3(6a-4) + 2(4a-2.5) = 21.4

a=2

Evaluating Expressions (7.EE.1a)

100

Solve if a=9

3a-2

25

200

Solve if m= -2.5

92-4m

102

300

Substitute and Solve:

5(1.5a-6) if a=6

15

400

Substitute and solve 

3/2(10-2d) if d=1.5

10.5, 21/2 or 10 1/2

500

Substitute and Solve for the following expression

6.2 [9r + (-2)] if r=2.5

127.1

Solving real world problems using 2 step equations (7.EE.4a)

100

3 times a number plus 14 equals 41. What is the number?

9

200

Jorge goes to to the store and buys 10 packs of gum and a bottle of sprite for $2. He spends $15.50 total. How much does each pack of gum cost?

$1.25

300

Pranav rented a bike from DeShawn's Bikes. It cost $13.90 plus $5.20 per hour. If Pranav paid $55.50 then he rented the bike for how many hours?

8 hours

400

For a field trip 4 students rode in cars and the rest filled nine buses. How many students were in each bus if 472 students were on the trip?

52 students on each bus

(4b+4= 472)

500

The General Store sells friendship bracelets. This week, the bracelets are on sale for 2 dollars off each bracelet. Jenny purchased bracelets for her 8 friends and spent a total of $40. What was the original price of the bracelets?

x=7

Catch all Category

100

Solve for a: 9a-8=89

a=11

(Add 8, divide by 9)

200

Jamie babysits for an hourly rate of 11 and asks for an 8 dollar fee for driving to the house. If she makes $129, how many hours did she basbysit?

11 hours

(Equation: 11h+8=129

subtract 8 then divide by 11)

300

Solve for c:

0.5c -13 = 25

c=76

(I.O. 1 add 13, 

I.O.2 divide by 0.5 OR multiply by 2)

400

-1.4 + 0.2m= 16.2

m=88

I.O.1: add 1.4

I.O.2: divide by 0.2 or multiply by 5

500

Mr. Schmidt’s car has a 15.8 gallon gas tank. He pulls into the station with 2.6 gallons left in the tank. If the gas pump pumps 2.2 gallons per minute, how long will it take to fill the tank. Let m represent the number of minutes to fill the gas tank.

m= 6 minutes