Solving equations: practice

2 marksCore skill

Solve

5x + 3 = 2x + 18

.

[2]

2 marksCore skill

Solve

7x - 4 = 3x + 10

.

[2]

2 marksCore skill

Solve

2x + 9 = 6x - 3

.

[2]

3 marksCore skill

Solve

3(x + 2) = 5x - 4

.

[3]

3 marksCore skill

Solve

2(3x - 5) = 4x + 11

.

[3]

3 marksCore skill

Solve

5(2x + 1) = 9x - 13

.

[3]

3 marksCore skill

Solve

\dfrac{2x + 5}{3} = 7

.

[3]

3 marksCore skill

Solve

\dfrac{3x - 4}{5} = 4

.

[3]

3 marksCore skill

Solve

\dfrac{4x + 1}{2} = -3

.

[3]

4 marksProblem solving

(a)

The angles of a triangle are

2x + 10

,

3x - 5

and

x + 25

, in degrees. Form an equation and solve it to find

x

.

[3]

(b)

Find the size of the largest angle.

[1]

4 marksProblem solving

(a)

The angles of a quadrilateral are

x + 40

,

2x + 15

,

3x - 10

and

2x + 35

, in degrees. Form an equation and solve it to find

x

.

[3]

(b)

Find the size of the largest angle.

[1]

2 marksCore skill

Femi thinks of a number, multiplies it by 4 and then subtracts 7. The answer is 29. Write an equation and solve it to find Femi's number.

[2]

2 marksCore skill

Isla thinks of a number, multiplies it by 3 and then adds 11. The answer is 5. Write an equation and solve it to find Isla's number.

[2]

2 marksCore skill

Callum is 6 years older than Ana. Their ages add up to 34. Form an equation and solve it to find Ana's age.

[2]