Q.1.
x + y = 32x - y = 6
Q.2.
4x - y = 32x + y =5
Q.3.
6a - 3b = 44a - 3b = 8
Q.4.
4x - y = 34x - 3y = 7
Q.5.
A man is three times as old as his daughter. If the difference in their ages is 36 years, find the age of the father and daughter.
Q.6.
A theatre can hold 200 people. If the price of admission is $5 for an adult and $2 per child, find the number of each if the theatre is full and the profit is $577.
Q.7.
A man has 100 shares of stock A and 200 shares of stock B. The total value is $If he sells 50 shares of stock A and buys 60 shares of stock B the value is now $Find the price of each share.
Q.8.
Rectangle A is 3 times longer than rectangle B and twice as wide. If the perimeter of A is 50cm and the perimeter of B is 20cm, find the length and width of A.
Q.9.
A rectangle has a perimeter of 40cm. If the length is reduced by 5cm and 5cm is added to the width, it becomes a square. Find the dimensions of the rectangle.
Q.10.
Solve the simultaneous equations (there are two separate solutions):y = x2 + 7x - 2y = 2x - 6
Q.11.
Solve:3x - y = 11x + y = 5
Q.12.
Solve:3x + 5y = 44x - 5y = -18
Q.13.
Solve:2x + 3y = 5x + 3y = 7
Q.14.
What is the solution?
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Q.15.
Find the simultaneous solution
mt-6 sb-7-Simultaneous Equationsimg_no 264.jpg
Q.16.
Solve for x and y2x − 3y = −1 y = x − 1
Q.17.
How many solutions are there for the graphs of y=x² and y=x+2
mt-6 sb-7-Simultaneous Equationsimg_no 265.jpg
Q.18.
A fruit seller sells apples at $2 each and oranges at $4 each. On Monday, his sold a total of 57 fruits and earned a revenue of $Find out the total number of apples sold on Monday.
Q.19.
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which system represents this situation?
Q.20.
Select the correct graph for each inequality.
mt-6 sb-7-Simultaneous Equationsimg_no 266.jpg
Q.21.
Select the correct graph for each inequality.
mt-6 sb-7-Simultaneous Equationsimg_no 267.jpg
Q.22.
Select the correct graph for each inequality.
mt-6 sb-7-Simultaneous Equationsimg_no 268.jpg
Q.23.
Select the correct graph for each inequality.
mt-6 sb-7-Simultaneous Equationsimg_no 269.jpg
Q.24.
Which point below is NOT part of the solution set?
mt-6 sb-7-Simultaneous Equationsimg_no 270.jpg
Q.25.
How can I tell if an inequality will have a solid line?
Q.26.
Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.
mt-6 sb-7-Simultaneous Equationsimg_no 276.jpg
Q.27.
What is the solution?
mt-6 sb-7-Simultaneous Equationsimg_no 277.jpg
Q.28.
A man is six times as old as his son. Twenty years later he will be twice as old as his son. Find the age of the man when his son was born.
Q.29.
Solve:2x + 5y = 29x + 5y = 22
Q.30.
Solve 3x+y=13x+y=13x+y=1   x−2y=19x-2y=19x−2y=19  
Q.31.
Solve by substitution: y=−3x+5y=-3x+5y=−3x+5   5x−4y=−35x-4y=-35x−4y=−3  
Q.32.
Solve by substitution: 2x−3y=−12x-3y=-12x−3y=−1   y=x−1y=x-1y=x−1  
Q.33.
How many solutions are there for the graphs of y=x² and y=x+2
mt-8 sb-8-Simultaneous Equationsimg_no 18.jpg
Q.34.
Solve by elimination: −6x+6y=6-6x+6y=6−6x+6y=6   −6x+3y=−12-6x+3y=-12−6x+3y=−12  
Q.35.
Solve by elimination: −2x−9y=−25-2x-9y=-25−2x−9y=−25   −4x−9y=−23-4x-9y=-23−4x−9y=−23  
Q.36.
Solve by elimination: 5x+y=95x+y=95x+y=9   10x−7y=−1810x-7y=-1810x−7y=−18  
Q.37.
Solve by elimination: −4x+9y=9-4x+9y=9−4x+9y=9   x−3y=−6x-3y=-6x−3y=−6  
Q.38.
What is the solution to the system of equations?
mt-5 sb-8-Simultaneous Equationsimg_no 107.jpg
Q.39.
What is the solution to the system of equations?
mt-5 sb-8-Simultaneous Equationsimg_no 108.jpg
Q.40.
What is the solution to the system of equations?
mt-5 sb-8-Simultaneous Equationsimg_no 109.jpg
Q.41.
What is the solution to the system of equations?
mt-5 sb-8-Simultaneous Equationsimg_no 110.jpg
Q.42.
What is the solution to the system of equations?
mt-5 sb-8-Simultaneous Equationsimg_no 111.jpg
Q.43.
Solve:3x - 4y = 262x - 4y = 20
Q.44.
Solve:2x + y = 164x - y = 2
Q.45.
Solve:4x - y = 177x - y = 32
Q.46.
Solve:3x + 2y = 157x + 2y = 19
Q.47.
Solve for (x,y)-2x + 6y = 16-4x - 3y = 2
Q.48.
Solve for (x,y)5x + y = 9 10x − 7y = −18
Q.49.
Some horses and chickens are in a pasture. If there are a total of 28 animals and 80 legs, how many chickens and how many horses are there? (Hint: Write simultaneous equations and then solve)
Q.50.
Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which simultaneous equations represent this situation?