1. Simplify the following expressions:

a) 5x + 3x - 2x

b) 8y - 2y + 5y

c) 4a + 2b - 3a + 5b

d) 6c - 2d + 4c - 3d

1. Evaluate the following expressions for x = 3 and y = 5:

a) 2x + 3y

b) 4x - 2y

c) 5x + 2y - 3x

d) 3y - 2x + 4

1. Write an expression to represent the following word problems:

a) The sum of 6 and twice a number x.

b) The difference between 10 and a number y.

c) The product of a number a and 7.

d) The quotient of a number b and 3.

1. Solve the following equations for x:

a) 4x + 7 = 19

b) 2x - 5 = 11

c) 3x + 2 = 5x - 4

d) 6x - 3 = 2x + 15

1. Solve the following equations for y:

a) 3y + 4 = 13

b) 2y - 7 = 11

c) 5y - 2 = 3y + 10

d) 4y + 6 = 2y - 8

1. Write an equation to represent the following word problems:

a) The sum of a number x and 8 is 20.

b) The difference between a number y and 5 is 12.

c) The product of a number a and 6 is 42.

d) The quotient of a number b and 4 is 5.

1. Solve the following word problems:

a) If 3 times a number is 21, what is the number?

b) If the sum of a number and 5 is 12, what is the number?

c) If the difference between a number and 8 is 3, what is the number?

d) If the product of a number and 4 is 24, what is the number?