Foundations & Review
Simplify:
8+2(5-3)2
What is 16?
Add the polynomials:
(3x2+2x−1)+(x2−5x+4)
What is 4x2−3x+3?
Simplified form of this equation:
x3 ⋅ x5
What is x8?
The slope between
(2,3) and (6,11)
What is 2?
Solve the system:
y=x+2
y=5
What is (3,5)?
Solve:
3x-7=11
What is x=6?
Factor completely:
x2+7x+12
What is (x+3)(x+4)?
A population doubles every year. If it starts at 500, what is the population after 3 years?
What is 4000?
Y-intercept of
y=4x−7
What is -7?
Solve by elimination:
2x+y=7
x−y=2
What is (3,1)?
Solve the inequality:
2x+5<15
What is x<5?
Solve:
x2−16=0
What is x=4?/What is x=-4?
Expand using logarithm properties:
log(3x2)
What is log3+2logx?
The slope-intercept form of a line with slope 3 passing through (0,5).
What is y=3x+5?
This is what represents the solution to a system on a graph.
What is the point where the lines intersect?
Solve:
∣x−4∣=9
What is x=−5? /What is x=13?
Divide using synthetic division:
(x2+5x+6)÷(x+2)
What is x+3?
Solve:
2x=32
What is 5?
The equation of a line parallel to
y=2x+1 that passes through (4,-3).
What is y=2x−11?
A movie theater sells child tickets for $5 and adult tickets for $8. If 20 tickets were sold for $130 total, how many child tickets were sold?
What is 10 child tickets?
Write the solution in interval notation:
x≥−2
[−2,∞)
End behavior of
f(x)=−2x4+3x2
What is
As x→∞,f(x)→−∞
As x→−∞,f(x)→−∞?
A substance has a half-life of 10 years. If you start with 80 grams, how much remains after 20 years?
What is 20 grams?
The slope of a line perpendicular to
y=−1/4x+8.
What is 4?
Region shaded for the inequality
y>2x−1.
What is the region above the line?