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Quadratics, inequalities, systems, and coordinate plane concepts
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What is the slope of the line passing through and ?
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For :
Solving:
Important: When multiplying/dividing by negative, flip the sign!
Substitute:
Subtract:
Between and :
Special cases:
Solution:
Use slope formula:
Plug in points:
Answer:
ACT Tip: Remember "rise over run" - vertical change รท horizontal change
Solve the system:
Solution:
First equation already solved for , so use substitution:
Substitute into second equation:
Which of the following is a solution to ?
A) B) C) D)
Solution:
Factor the quadratic:
Find two numbers that multiply to and add to :
Find :
Answer:
Check: โ
Factor:
Solutions:
Answer: Both B and D are solutions (if only one answer allowed, both appear)
ACT Tip: Can also plug each answer choice into equation to test!