Linear equations
What's the value of c whenever 3x-5=3x-c has no solution.
Every c that not equal to 5.
−7y ≤ −35
y ≥ 5
Tell whether (2, 5) is a solution of the system of linear equations.
x + y = 7
2x − 3y = −11
yes
What is the Chinese of porabola?
抛物线
Describe the domain and range.
y = −3x2 + 6x + 9.
Domain: all real numbers.
range: y<=12
Solve the equation -2(4y+1)=-8y-2.
y has infinitely many solutions.
2(5w − 1) ≤ 7 + 10w
all real numbers are solutions.
Write an equation of each line that passes through (−3, 5) and (0, −1).
y = −2x − 1
Whether the function has a minimum value or a maximum value.
g(x) = 8x2 − 8x + 6
Min.
What is the first tenth decimals of π?
3.1415926535
the slope of 3y+5x=23
What is -5/3
∣10 − m ∣ ≥ − 2
All real numbers are solutions.
Solve the system:
y = −2x − 9
6x − 5y = −19
The solution is (−4, −1).
Let f (x) = −0.5x2 + 2 and g(x) = f(x) − 7.
Describe the transformation from the graph of f to the graph of g.
Move downward for 7 units.
What is the Point-Slope Form of a linear function?
𝑦 − 𝑦₁ = 𝑚(𝑥 − 𝑥₁)
4 ∣2x − 5 ∣ + 1 > 21
x < 0 or x > 5
Determine which of the lines, if any, are parallel or perpendicular.
Line a: y = 4x + 2
Line b: x + 4y = 3
Line c: −8y − 2x = 16
b and c are parallel. a is perpendicular to lines b and c.
The axis of symmetry of f (x) = 2x2 + 8x − 1.
x = −2
Solve ∣2x + 6 ∣ = 4x. Check your solutions.
x = 3
The expected attendance at a school event is 65 people. The actual attendance can vary by up to 30 people. Which equation can you use to find the minimum and maximum
attendances?
A ∣x + 65 ∣ = 30
B ∣x − 65 ∣ = 30
C ∣x − 30 ∣ = 65
D ∣x + 30 ∣ = 65
B
When will a system has the solution as "no solution"?
When they are having the same slope, and they are not the same line.
The vertex of the graph of the function g(x) = x2 + 6x + 5.
(-3,-4)