Checking the solution of simultaneous equations
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Lesson details
Key learning points
- In this lesson, we will learn to check the solutions to simultaneous equations by a method of substitution.
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5 Questions
Q1.
Let p be the number of protractors bought. If each protractor costs £2, which of the following represents the total amount spent on protractors (in pounds)?
2+p
p
p^2
Q2.
Let p be the cost of a protractor. If I buy 3 protractors, which of the following represents the total cost?
3+p
Others
p^3
p+3
Q3.
Let p be the number of protractors bought and q be the number of rulers bought. Protractors cost 20 pence and rulers cost 15 pence each. What does 15q represent?
Others
The number of protractors
The number of rulers
The total cost of the protractors
Q4.
Let p be the number of protractors bought and q be the number of rulers bought. Protractors cost 20 pence and rulers cost 15 pence each. What does p+q represent?
Nothing
The cost of 1 protractor and 1 ruler
The total cost
Q5.
Let p be the number of protractors bought and q be the number of rulers bought. Protractors cost 20 pence and rulers cost 15 pence each. What does 20p+15q represent?
20 protractors and 15 rulers
nothing
The total number of items bought
5 Questions
Q1.
If x=2 and y=3, what is the value of 2x+3y?
12
4x+9y
5
Q2.
Is x=3 the solution to 2x+7=13?
no
Q3.
Use substitution to decide which of the following are solutions to x+y=3.
x=3 and y=0
y=1 and x=1
Q4.
Use substitution to decide which of the following is the solution to x+y=3 and 3x+4y=10.
x=1 and y = 2
x=3 and y=4
x=4 and y=-0.5
Q5.
Use substitution to decide which of the following is the solution to x+y=3 and 5y+3x=15.
x=1 and y=2
x=1.5 and y = 1.5
x=2 and y=1