Linear equations and inequalities
Solve for X:
2x - 5 = 9
X = 7
Given f(x) = 3x - 4, find f(5)
11
Factor the polynomial
x^2+5x+6
x^2+5x+6=(x+2)(x+3)
Solve the quadratic equation
x^2-5x+6=0
x=2 x=3
Who was the first president of the United States?
George Washington
Solve for X:
1/2x + 4 = 10
x = 12
Is ( 1,2 ) ( 2,3 ) ( 3,4 ) ( 1,5 ) a function?
No
Simplify the polynomial
3x^2+4x-2x^2+7
(3x^2-2x^2)+4x+7=x^2+4z+7
What is the vertex of the quadratic function
f(x)=x^2-6x+8
(3,-1)
What is the past tense of the verb “ go “?
Went
Solve the inequality:
3x + 2 < 11
x < 3
A taxi charges a flat fee of $5 plus $2 per mile. Write a function C(m) for the cost in dollars for m miles.
C(m)=2x+5
Factor completely
x^2-9
x^2-9=(x-3)(x+3)
Write the quadratic equation in vertex form
Y=x^2+4x+1
y=(x+2)^2-3
Which continent is the Sahara Desert located on?
Africa
Solve the inequality
-4 ≤ 2x - 6 < 10
1 ≤ x < 8
Write an F(x) equation from the function ( 1,4 ) ( 2,7 ) ( 3,10 )
F(x) = 3x + 1
Factor by grouping
x^3+2x^2+x+2
(X^3+2x^2)+(x+2)=x^2(x+2)+1(x+2)=(x^2+1)(x+2)
What is the maximum height the ball reaches
H(t)=-16t^2+32t+5
21 feet
What gas do plants absorb from the atmosphere to perform photosynthesis?
Carbon Dioxide
Find the equation of the line that passes through the points ( 2 , 3 ) and ( 4 , 7 )
y = 2x - 1
Is the point ( 2,9 ) on the line of the function F(x) = 2x+5?
Yes
True or False: The expression X^2+4x+4
True
Determinate if the quadratic has real solution
x^2+4x+5=0
No real solutions
What is the smallest planet in our solar system?
Mercury