Linear Equations
Find the value of x in the equation
3x = -12
x = -4
Write down the value of the y-intercept
y = 3x - 5
-5
Write an equation where x is the number of soda cans and y is the total cost if each soda can costs $7
y=7x
Find x and y
x + y = 13
x - y = 1
x=7, y=7
What is the coefficient of x
13y+8x-14z
8
Find the value of x in the equation
4x + 2 = 18
x = 4
Write down the value of the gradient
y = 3x - 7
3
Write an equation for a taxi that charges $3 per minute where x is minutes and y is the total cost.
y=3x
Find x and y
3x + 2y = 7
3x + 7y = 2
x=3, y=-1
Write down the variables of the equation
y=2x+5
x and y
Find the value of x in the equation
-3x - 7 = 20
x = -9
Write down the value of the gradient of the line equation
y = 4 - 1/4x
-1/4
Three consecutive numbers add to make 72. What are the three numbers?
23, 24, 25
Find the intercept point of the lines
2x - y = 9
4x - y = 19
(5, -1)
Is the solution correct?
3(3x-2) = 30
3x - 2 = 30
3x = 32
x = 32/3
No
Find the value of x in the equation
3 - x = 12 + 2x
x = -3
Write the value of the gradient
2y + 3x = 5
-3/2
A taxi charges a boarding fee of $12 and then charges $1.50 per minute in the taxi.
Write an equation where y is the total cost and x is the number of minutes a passenger spends in the taxi.
y=1.5x+12
How many solutions do the system of equations have?
y=4x-3
y=4x+8
None - they are parallel
A taxi charges a boarding fee of $14 and charges $2 per minute.
What is the gradient if this was modelled as a linear equation? What is the y-intercept
Gradient = 2
y-intercept = 14
Find the value of x in the equation
4/x = 2/3
x = 6
Are the following equations parallel? How do you know?
y=3x+4
y=3x-2
Yes
The gradients are both 3
A rental company charges a $20 deposit and an hourly rate of $8.
Write an equation where y is the total cost and x is the number of hours.
y=8x+20
2x + 5y = 14
4x - 3y = 2
x=2, y=2
Solve the system of linear equations
5x + 3y = -7
4x + 3y = -8
x=1, y=-4