Quiz about Sem 1 Midterm Review (Part 1)

Question 1

Solve the following simultaneous equations.

$$y=-3x\ +\ 5$$ and $$4x\ +\ 2y\ =\ 4$$

Accepted Answer

x = 3 and y = -4

Answer

x = 3 and y = 4

Answer

x = -3 and y = -4

Answer

x = -3 and y = 4

Question 2

Solve the following simultaneous equations.

$$3x\ -\ 2y\ =\ 29$$ and $$4x\ +\ y\ =\ 24$$

Accepted Answer

x = 7 and y = -4

Answer

x = -7 and y = -4

Answer

x = -7 and y = 4

Answer

x = 7 and y = 4

Question 3

Solve the following simultaneous equations.

$$2x\ -\ 3y\ =\ -8$$ and $$5x\ +\ 3y\ -\ 1=0$$

Accepted Answer

x = -1 and y = 2

Answer

x = -1 and y = -2

Answer

x = 2 and y = -1

Answer

x = -2 and y = -1

Question 4

Solve the following simultaneous equations.

$$2x\ -\ 5y\ =\ 24$$ and $$3y\ +\ 4x\ +\ 4\ =\ 0$$

Accepted Answer

x = 2 and y = -4

Answer

x = -2 and y = -4

Answer

x = -2 and y = 4

Answer

x = 2 and y = 4

Question 5

Solve the following simultaneous equations. (Give your answers correct to two decimal places)

$$3x+y\ =\ 5$$ and $$y\ =\ 2x^2+4x\ -\ 12$$

Accepted Answer

x = -5.15 and y = 20.45

x = 1.65 and y = 0.05

Answer

x = -5.15 and y = -20.45

x = 1.65 and y = 0.05

Answer

x = 5.15 and y = 20.45

x = -1.65 and y = -0.05

Answer

x = 5.15 and y = 20.45

x = -1.65 and y = 0.05

Question 6

Solve the given inequality.

$$6m\ -\ 4<-10$$

Accepted Answer

m < -1

Answer

m < 1

Answer

m > 1

Answer

m > -1

Question 7

Solve the given inequality.

$$3x\ +\ 12\ \ge\ 5x\ -\ 10$$

Accepted Answer

$$x\le11$$

Answer

$$x\le-11$$

Answer

$$x\ge11$$

Answer

$$x\ge-11$$

Question 8

Solve the given inequality.

$$2\left(3x-4\right)>2x\ +\ 6$$

Accepted Answer

$$x>\frac{7}{2}$$

Answer

$$x>1$$

Answer

$$x>\frac{7}{4}$$

Answer

$$x>\frac{1}{4}$$

Question 9

Which of the following inequalities represents the shaded region in this graph?

Accepted Answer

$$y\ <x\ +\ 5$$

Answer

$$y\ >\ x\ +\ 5$$

Answer

$$y\ \ge x\ +\ 5$$

Answer

$$y\ \le x+5$$

Question 10

Which of the following inequalities represents the shaded region in this graph?

Accepted Answer

$$2x\ -\ 3y\ <\ 6$$

Answer

$$2x\ -\ 3y\ >\ 6$$

Answer

$$x\ -\ 3y\ >\ 6$$

Answer

$$x\ -\ 3y\ <\ 6$$

Question 11

The region R represents all the solutions to three linear inequalities. What are these three linear inequalities?

Accepted Answer

$$x\le4$$

$$y\le3$$

$$x+y\ \ge5$$

Answer

$$x<4$$

$$y\le3$$

$$x+y\ >\ 5$$

Answer

$$x\ \ge4$$

$$y\ge3$$

$$x+y\ge5$$

Answer

$$x\le4$$

$$y\le3$$

$$x+y\le5$$

Sem 1 Midterm Review (Part 1)

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics