Solving Equations by Addition,Subtraction, Multiplication, & Division
Solving Equations with the Variable on Each Side
Expanding Expressions
Algebraic Expression
Word Problems
100

r-21= -37

-16

100

n - 2 = 4 - 2n

2

100

Expand & Simplify

3(a - 5) - 5a

-2a - 15

100

 Twice a number is added to 4

2n + 4

100

A taxi driver uses this formula to work out the cost of a journey: C = 5 + 3m, where C is the cost of a journey in $ and m is the number of miles. A journey cost $29. Work out how many miles it is.

m = 8 miles

200

6x = -42

-7


200

3 - 4q = 10q +10

-0.5

200

Expand & Simplify

10a2 - 6a(2a - b)

-2a2 + 6ab

200

Three times a number is subtracted from 7.

7 - 3n

200

For a party, Fauzan allows 10 sweets per guest plus 15 spare sweets. Which formula should he use to work out the number of sweets (S) she should buy, for C guest?

S = 10C + 15

300

r + (-1/2) = -3/4

-1/4

300

5t - 9 = -3t +7

2

300

Expand & Simplify

5(x+3)-6(x-4)

-x + 39

300

Five times an unknown number is equal to 60. Find the number.

5n = 60

n = 12

300

Ikhwan is 25 older than his son. If the total age of them is 57, how old is his son?

Ikhwan's son = 16 y.o

400

(5/2)a = -25

-10

400

4(f -2) = -3(f +5)

f = -1

400

Expand and simplify

3a/2(4 - 2b) - 5ab

6a - 8ab

400

A number subtracted from 9 is equal to 2 times the number. Find the number.

9 - x = 2x

x = 3

400

Train ticket to Chicago for 3 adults and 1 child cost $95. An adult ticket cost $25 more than a child's ticket. Work out the cost of each ticket.

child's ticket = $5

adult's ticket = $30

500

5 = r/2

10

500

3(1 + d) - 5 = 2(d - 2)



d = -2

500

Expand & Simplify

2r(4 - r) - r(5 + 2r)

3r - 4r2

500

Adding nine to a number gives the same result as subtracting seven from three times the number. Find the number.

9 + x = 3x - 7

x = 8

500

Andrew is 5 years younger than Josephine. Four years later, Josephine will be twice as old as Andrew. Find their present ages.

a + 4 = 2(a - 5 + 4)

Josephine's present age is 6

Andrew's present age is 1