Simplify the expression
Vocab Application
Linear Equations
Word Problems 2
100

2a - a + 3a

4a

100

Is the following an equation or an expression-

4x + 3y − 2x + 6 + 5y

Expression

100

y - 3 = 7

y = 10

100

Sarah earns y dollars a day, and her coworker earns 50 dollars a day. If together they earn 130 dollars a day, how much does Sarah earn?

y + 50 = 130

y = 80

200

7x - 2y - 3x

4x - 2y

200

What are the variables in the following-

4x + 3y − 2x + 6 + 5y

x and y

200

2x + 5 = 11

x = 3

200

Lily had 15 books on her shelf. After buying some more books, she now has 25 books. How many books did Lily buy?

15 + b = 25

b = 10

300

2z x 3z

6z

300

What is the constant in the following -

4x + 3y − 2x + 6 + 5y

6

300

4x - 8 = 0

x = 2

300

The fee for a guided tour is $30 per group plus $12 per person.

Calculate the total fee if a group of 5 people takes the tour.

$90

400

12 + 4c - 7 + 2c + 2c2

5 + 6c + 2c2

400

How many terms are in the following -

4x + 3y − 2x + 6 + 5y

5

400

2(x - 3) = 14

x = 10

400

The fee for a guided tour is $30 per group plus $12 per person. 

On one day the tour company gave 3 tours, one with 3 people, and two with 4 people. How much money did they make?

$222

500

3y x 5z + 4x

15yz + 4x

500

What is the coefficient of the 3rd term -

4x + 3y − 2x + 6 + 5y

-2

500

3(x − 2) = 12/4

x = 3

500

A school group of 25 people visits a museum. There are 18 students and 7 teachers. The admission charges are: Students $4 and Teachers $10. The formula for the cost of admission is C=4s+10t, where s is the number of students and t is the number of teachers. Find the total cost for the group using the formula and show your working.

$142

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