7.03 Algebra ☆

Simplifying Expressions

100

3a + 2a

5a

200

5y x 6y

30y²

300

72y³ ÷ 9y

8y²

400

12m² ÷ 4 × 3m

9m³

500

6a × 10b ÷ 5a × 2a ÷ 12b

2a

Collecting Like Terms

100

10b - 4b

6b

200

7x + 3 + 8x + 1

15x + 4

300

5m + 3n -2m + 17n

3m + 20n

400

2c² + c² + c² + c² - c²

4c²

500

9x² − 2x − 11x² + 5x

-2x² + 3x

Substitution

100

If e = 15,

what is ᵉ⁄₅ ?

3

200

If b = 10,

what is 9b + 11 ?

101

300

If h = 4 and i = 2,

what is hi ?

8

400

If p = -3,

what is 8p² + 3 ?

75

500

If b = 4 and d = 0.5,

what is 10d + 4b / 7 ?

3

Solving Equations

100

If w + 5 = 7,

what is the value of w ?

w = 2

200

If m / 6 = 8,

what is the value of m ?

m = 48

300

If 5g = 24,

what is the value of g ?

g = 4.8

400

If 2t + 9 = -6,

what is the value of t ?

t = -7.5

500

If 10m + 20 / 15 = 6,

what is the value of m ?

m = 7

Rearranging

100

Make y the subject,

y + a = x

y = x - a

200

Make x the subject,

x / a = r

x = ra

or

x = ar

300

Make x the subject,

x + t / m = 2c

x = 2cm - t

400

Make c the subject,

v = u + ac

c = v - u / a

500

Make c the subject,

x = bc² / d

x = √xd / b