Year 9 5.2 Expressions and Equations

The algebraic expression that represents 2 less than 3 lots of n is:

• 3(n – 2)

• 2 – 3n

• 3n - 2

• 3 + n - 2

• n

The fully simplified form of 2ab ÷ (8a) is:

• $\frac{2ab}{8a}$

• $\frac{4}{b}$

• $\frac{b}{4}$

• $4b$

• $4a$

The simplified form of 6ab + 14a – 2ab + 3a is:

• 21ab

• 4ab+11a

• ab+7a

• 4ab+17a

• 4+17a

The solution to the equation 2x – 3 = 7 is:

• x=2

• x=-5

• x=5

• x=6.5

• x=0.5

The solution to  $\frac{x}{3}-1=4$  is:

• x=13

• x=7

• x=9

• x=15

• x=  $\frac{5}{3}$  

The expanded form of 3(2y - 1) is:

• 6y-3

• 5y-1

• 6y-1

• 6y+2

• 3y-3

An equivalent equation to 5x = 2x + 9 is:

• 2x=5

• 3x=9

• 0=3x+9

• 7x=9

• x=9

The solution to the equation 2(x - 3) = 7 is:

• x=5

• x= $\frac{13}{2}$

• x=2

• x= $\frac{1}{2}$

• x= $\frac{7}{3}$

Eli is x years old. His sister is 2 years older. The sum of their ages is 22. A simplified equation to represent this is:

• x+2=22

• 2x+2=22

• 2(x+2)=22

• x(x+2)=22

• 2x=22

If  $A=\frac{1}{2}bh$  with A=360 and h=40, then the value of b is:

• 90

• 4.5

• 20

• 18

• 9