Forming and solving equations and inequalities

Write down an expression for the perimeter of this triangle.

• 24x

• 8x²

• 9x

• 24x³

The perimeter is 27 cm. Create

an equation and then solve it to find

the value of 𝑥.

• 3

• 243

• 9

The perimeter of this

Quadrilateral needs to be less than 31 cm.

Create an inequality

• 6w+7=31

• 2w(w+3)<31

• 6w+7<31

• 6w+7>31

The perimeter of this

Quadrilateral needs to be less than 31 cm.

Create an inequality and solve to find the solution for w.

• w=4

• w<6.3

• w>6.3

• w<4

The perimeter of this

isosceles triangle is 28 cm or more.

Create an inequality and solve it to find the value of 𝑧.

The perimeter of this triangle is 30 cm.

Create an equation and solve it to find the value of 𝑦.

• y=1.5

• y=2.25

• y=3.5

A quadrilateral has interior angles:

𝑥+120°, 𝑥+70°, 2𝑥+30° , 4𝑥−60°

What is the value of 𝑥?

• 5

• 25

• 35

• 10

The length of a rectangle is 𝑥+7

The width is 3cm.

The area has to be greater than 72cm2

Write an inequality

• 3x+7>72

• 3x+21>72

• 3x+21<72

• 3x+7<72

The length of a rectangle is 𝑥+7

The width is 3cm.

The area has to be greater than 72cm2

Solve the inequality.

• x=17

• x<17

• x>17

• x>31

The length of a rectangle is 𝑥+7

The width is 3cm.

The area has to be greater than 72cm2

If the length of the rectangle is an integer, what is the smallest the length could be?

• 24cm

• 25cm

• 17cm

• 18cm