Algebra

Introduction to Algebra

100

Using  and  to represent numbers, write an expression for:
b divided by negative 5

b / -5

200

Write the following expressions in ascending order.:
m + 3, m - 2, m + 1, m - 8

m - 8, m - 2, m + 1, m + 8 

300

Write an expression for each of the following:

The sum of b and 2

b + 2

400

If  A, B, and C represent any three numbers, write an expression for:
The sum of A and C is divided by B

(A + C) / B

500

If  A, B, and C represent any three numbers, write an expression for:

The difference between C and the product of A and B

C - AB

Substituting & evaluating

100

If a = 4, then:
a + 7 =

11

200

If b = 6, then:

b - 8 =

-2

300

If h = 12, solve:

12h + 7

151

400

Using the formula below, if f = 20, then h = ?

f = 12h - 4

2

500

The area of a triangle is given by A = 1/2 x w x h.
Find the height h and width w that gives an area of 12 square units.
 

6 and 4
or
8 and 3
or
12 and 2

Simplifying

100

Simplify the following:
4t + 8t - 3 + 2t

14t - 3

200

Simplify the following:
12st + at - 3s + 2st - at - 2s

14st - 5s

300

Simplify the following:

2s x 4t

8st

400

Simplify the following:

3z x 5d x 3a x b

45abdz

500

Simplify the following:

-6b x -7s x - 2d

-84bds

Dividing terms

100

Simplify:
3 x a
  a²

3 / a

200

25p⁴n²
 5p2n

5p²n

300

w x  5
      w²

5
w

400

8a³ x 7y²
6a x 14y³

2a²
3y

500

   12a³b²   
6a⁴ x 14b³

  1  
7ab

Expanding brackets

100

Expand the following:
2c(8d - q)

16cd - 2cq

200

Expand the following:
-3b(3b - 2g)

-9b² + 6bg

300

4a(a + 1) - 2(2a - 3)

4a² + 6

400

16r² + 12r(2 - r) - 6r + 3

-4r² +18r + 3

500

The price of a dress is $150. During a sale, the price of the shoes is discounted by $d. If you buy two dresses, you receive an additional $30 off the total price.

Write an expression for the cost if you buy 2 dresses.

270 - 2d