Linear Equations
Measurement
Linear Equations?
Scale Factor
Measurement!
100
If 𝑦 = 5𝑥 − 4, substitute 4 into 𝑥
16
100
What is the missing length?
16.12
100
Twice a number plus five is eleven. Solve.
x=3
100
What is the scale factor of:
k=4
100
Solve for perimeter
120m
200
Determine the values of the following expressions if 𝑎 = 4 and 𝑏 = 3.
(8b)/a
6
200
Complete the pythag triad:
Hypotenuse = 5
Side length = 3
Missing side = ?
4
200
The sum of four times a number and seven is equal to the sum of twice the number and thirteen.
x=3
200
Determine x
x=9cm
200
Solve for area
600m^2
300
If b = 6, solve the following
4(b^3-1)
860
300
Solve the distance CE
x = 16.16cm
300
A car rental company charges a base fee plus a cost per kilometer driven. The total cost, C, in dollars, is given by the equation:
C=0.15k+50
where k represents the number of kilometers driven.
How much would it cost to rent the car and drive 200 km?
$80
300
Determine b
b=15.56m
300
Determine the area
474.43m^2
400
Solve:
x=-8/5
400
1ML = ?L
1,000,000L
400
transpose the following equation to make H the subject:
B=m/H^2
sqrt(m/B)
400
A building block measuring 48.4m by 41.25m is drawn on a plan with measurements of 8.8cm by 7.5cm. What scale was used to draw the plan?
1:605
400
Calculate the volume
200cm^2
500
Solve the following:
3x+2y=12
5x-y=7
x=2, y=3
500
Solve the area
A=221.15cm^2
500
Emily is visiting a farm and counting the number of chickens and goats. Each chicken has 2 legs, and each goat has 4 legs. In total, Emily counts 50 animals with a total of 140 legs. Form a system of linear equations to determine exactly how many chickens and goats Emily found.
30 chickens
20 goats
500
Determine the volume scale factor
k=2^3
500
3222.8mm^2