Algebraic Expressions and factorisation

Expand and simplify 4(7x + 3).

• 28x + 12

• 28x + 3

• 47x + 12

• 47x + 3

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

Simplify 3x + 2y - 2x + 3y.

• x + 5y

• 5x + 5y

• 5x + y

• 5x - 5y

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

Expand and simplify 3(x + 2) + 4(2x +1).

• 11x + 10

• 11x + 7

• 7x + 10

• 11x + 3

Tags

CCSS.6.EE.A.2

CCSS.6.EE.A.3

Factorise x²+4x

• x(x+4)
• 4x(x+1)

Difference of squares
Factor x²-16

• (x-4)(x+4)
• (x-4)(x-4)
• (x+4)(x+4)
• (x+4){x-(-4)}

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factorise 3x²+12x

• 3x(x+4)
• 3(x²+4)

Expand (y+1)(y-2).

• y²-2y-2

• y²-y-2

• y²+y-2

• y²+2y-2

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Determine the area for the diagrams below using algebraic expressions

• 10x² - 11x - 6

• 7x² - 11x - 6

• 10x² - 19x - 6

• 10x² + 11x - 6

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSG.GPE.B.7

Factorise ab+bc+pq+pr.

• a(b+c) + p(q+r)

• b(a+c) + p(q+r)

• b(a+b) + p(q+r)

• b(a+c) + q(p+r)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factorise 2x + xy - 6 - 3y

• x (2 + y) - 3(2 + y)
• (2 + y)(x - 3)
• x (2 + y) - 3(2 - y)
• (2 + y)(x + 3)