Quadratics
Find the solutions to the following quadratic equation:
(x-5)(x+9)=0
x = 5 and x = -9
Algebra: What type of function is this?
y-5=3(x+4)
Linear
Equivalent
A - same as
B - Equal to
C - both are correct
C - both are correct
Julia traveled to Argentina and Chile for a total of 16 days. In Argentina, she learned 125 new words per day. In Chile, she learned 140 new words per day. She learned a total of 2145 words. Write a system of equations using x for Argentina and y for Chile.
x + y = 16
125x + 140y = 2145
Given y=abx , What does the a represent?
y-intercept/ intial amount
If you receive this symbol > for an inequality. What type of line will you use and how would you shade?
A. Solid line and shade above
B. Solid line and shade below
C. Dashed line and shade below
D. Dashed line and shade above
D
Find the roots to the quadratic equation:
2x2=200
x = 10 and x = -10
Algebra: simplify: 4(6ac - 3) + 5ac
Algebra: 29ac-12
a vertical line that cuts through the middle of the parabola, dividing it into two equal halves
A. Maximum of parabola
B. x - intercept
C. Line of symmetry
C
Solve the following system of equations:
6x − 12y = 24
−x − 6y = 4
(2, -1)
Simplify (4x5)2
16x10
What are the three things you get to use on the Algebra I EOC?
Calculator, Desmos, and Reference Sheet
The height h (in feet) of an underhand volleyball serve can be modeled by h = -16t2+ 30t + 4, where t is the time (in seconds).
What is the maximum height? Round to the nearest whole number.
h = 18 feet
Algebra: Solve for a: abc + 2h=0
Algebra: a = -2h/bc
2(x+1) = 2x + 2
This is
A - Distributive property
B - Order of operations
A
Solve the following system of equations:
x + 7y = 0
2x − 8y = 22
(7, -1)
Which statements describe the graph of y = 1.06x?
Select the two correct answers.
A. The graph is always increasing.
B. The graph is always decreasing.
C. The graph goes through the point (0, 0).
D. The graph goes through the point (0, 1).
E. The graph goes through the point (1, 0).
A and D
An absolute value inequality is shown.
− 3 |x − 2| < − 21
What operation should you perform during the first step in solving the inequality?
Divide by -3
Find the solutions to the following quadratic:
2x2 − 3x − 5 = 0
x = 5/2
x = -1
Given the function: f(x) = 2x2-16x+6
Find f(3).
-24
Order of operations, or PMDAS, the p stands for
A - Parabola
B - Parenthesis first
C - Paragraph of math
B
Given the following system of inequality:
−8x − 10y < 24
6x + 5y > 2
Is (7,-8) a solution to the system?
no
Given the function: f(t) = 600(0.85)t
What percentage is the function decreasing by?
15%
What form is this quadratic in?
(x+5)2-4=0
Vertex Form
A water balloon is catapulted into the air so that its height h, in meters, after t seconds is
h = -4.9t2 + 24.5t + 1. When does the height of the balloon reach 20.6 meters?
1 and 4 seconds
Algebra: What's the domain of a exponential function?
All Real Numbers
Roots of a parabola are the same as
A. X-intercepts
B. Zeros
C. A and B
C
If two lines intersect, then the solution to the system is:
a. One solution
b. Infinitely Many Solutions
c. No solution
One solution
What is the correct factorization for 25x2-64?
A(5x+8)(5x-8)
B (5x-8)(5x-8)
C (5x+8)(5x+8)
A (5x+8)(5x-8)
The function P(b) = 4b − 15 represents the amount of money Marisa makes by
selling b bracelets. Which is the most appropriate domain for this function?
A. all real numbers
B. all integers ≥ 0
C. all positive real numbers
D. all integers ≥ 4
B