Solving equations test

1.    The equation  $\frac{4x+3}{9}=5$  has a solution of

• 10

• 10.25

• 10.5

• 10.75

• 11

1.    The equation 5x + 2 = 4x - 7 has a solution of:

• x = -1

• x = 1

• x = 9

• x = -9

• x = -5

If the equation  $\frac{x}{4}+\ 2t\ =\ 5t$     was rearranged so that x becomes the subject, what would the equation look like?

• x = 5t + 2t/4

• x =  $\frac{5t\ +\ 2t}{4}$  

•  $x\ =\ \frac{7t}{4}$  

•  $x=\frac{3t}{4}$  

• None of the above

The solution to 7(x+1) = x - 11 is:

• x = -2

• x = 2

• x = 3

• x = -3

• x = 1

What is the solution to the equation 13 - 5a = 28?

• a = -5

• a = -3

• a = 1

• a = 3

• a = 5

When 2(x-1) + 3(x+2)=24 is solved, the value of x is:

• 4

• 3.2

• 5.6

• 4.2

A number has been halved, 5 has been added and the result has been multiplied by 8. The equation equals zero.

The best algebraic equation to represent this number problem is:

• $8\left(\frac{x}{5}+2\right)\ =\ 0$

• $8\left(\frac{x}{2\ }+\ 5\right)\ =\ 0$

• $\frac{x}{2}+5\$ x 8 = 0

• $8\left(\frac{1}{2}x\right)$ + 5 = 0

 $2x\ +\ 4m\ =\ 14$ transposed to make x the subject becomes:

• m =  $m\ =\ \frac{14\ -\ 2x}{4}$  

• x = 2m - 7

•  $x=\frac{14\ -\ 4m}{2}$  

• x = 7 - 2m

 $2v\ +\ 7\ +\ 5v\ =\ 3\left(v\ +\ 1\right)\ +\ 4$  The following equation when solved is

• v = 0.25

• v = 10

• v = 0

• v = 3.5

 $3x\ +\ 4y\ =\ 2$  Solve the simultaneous equations and find the correct answers for x and y respectively from the options below

 $x\ =\ 7\ +\ 5y$  

• x = -3.5, y = -2.1

• x = 10.3, y =-0.66

• x = 2, y = -1

• x = -1, y = 2