Task 1 · easy
Reading factors
For f ((x) = 3x+5 specify the coefficients a and b and determine the monotonicity.
Hint and solution →Original practice tasks · Math · High school . Class 1
Linear function — tasks with solutions
Start with the easier exercises and work your way up. Every task has a hint and a full step-by-step solution — try it on your own first, then unlock the solution and compare.
Easy
4
Medium
8
Hard
4
Task 2 · easy
Calculation of values
For f ((x) = 2,5x-4 calculate f ((6).
Hint and solution →Task 3 · easy
Zero place
Set the zero position of the function f ((x)=4x-12.
Hint and solution →Task 4 · easy
Formula monotonicity
Specify the monotonicity of the function g ((x)=-0,5x+7.
Hint and solution →Task 5 · medium
Cuts with axles
Select the intersection points of the y=3x+6 graph with the OX and OY axes.
Hint and solution →Task 6 · medium
Formula from a and point
The linear function has an a=-2 slope and its graph passes through a point (3.1). Set a pattern.
Hint and solution →Task 7 · medium
Model of two points
Select a formula for a linear function passing through A= ((-1.4) and B= ((3,-4).
Hint and solution →Task 8 · medium
Zero-place pattern
The linear function is zero x=5 and meets f ((2)=9. Set a pattern for her.
Hint and solution →Task 9 · medium
Cutting graphs
Find the intersection point of the graphs f ((x) = 2x+1 and g ((x) =-x+7.
Hint and solution →Task 10 · medium
Function Mark
For which x function of f ((x) = 3x-9 is positive?
Hint and solution →Task 11 · medium
Case a=0
Describe the function f ((x)=5: specify a, b, monotonicity and number of zeros.
Hint and solution →Task 12 · medium
Free expression of condition
The function f ((x) = 4x+b takes place with zero x=-2. Set b.
Hint and solution →Task 13 · hard
Cost model
Booking costs 25 PLN and each ticket 12 PLN. Save cost Kăn), calculate cost of 7 tickets and give a reasonable area.
Hint and solution →Task 14 · hard
Parameter and monotonicity
For which k values of f ((x)=k-2)x+6 is increasing?
Hint and solution →Task 15 · hard
Temperature change model
The temperature is described by T ((t)=18-1,5t for 0≤t≤8. After how many hours is the temperature 9°C?
Hint and solution →Task 16 · hard
Missing Point Coordinate
The simple linear function graph passes through A ((2,5) and B= ((m,11) and its directional factor is 3. Set the m.
Hint and solution →Materials and further learning
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Karta pracy do druku
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Otwórz kartę pracy →After the tasks
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