Unit 1: Linear Equations/Functions/ Inequalities
Simplify the following expression:
9a + 4b - 5c - 1 - 3a + 4b + 5c
6a + 8b -1
In a graph of a linear inequality, what does a dashed line mean?
What is the line is not included in the solution?
NO CALCULATOR:
Estimate what whole numbers the square root is between.
Square Root of 200
14 and 15
Given the Quadratic Function: y = -x2 + 6x - 7, what is the direction of the parabola and what is the y - intercept?
Down -7
f(x) = 3x+1 ; Find f(1)
9
Graph this equation:
y =2/3x + 4
(Check with Ms. Jackson)
DOUBLE JEOPARDY!!!
Solve the following system of equations using elimination:
x + y = 10
x - y = 12
(11, -1)
irrational. approximately: 1.414213...
Convert to standard form:
f(x) = (x - 4)(-3x + 3)
f(x)=−3x2+15x−12
Consider the function f(x) = 7,000(14)x/10 which models a long term investment made by Joshua las year. What does the 14 represent in the function?
A: interest rate
B: growth factor
C: initial deposit
D: number of years
B
Solve this equation:
2(x + 7) + 3x = 12
x=-2/5
2x - 4y = 6
4x + 4y = 10
(8/3,−1/6)
DOUBLE JEOPARDY!!!
Simplify using the properties of exponents:
614 / 612
62 or 36
Evaluate:
f(x) = (x+3)2 - 2x2 ; x = -12
-207
Solve the equation
53x-2=125
5/3
Which function describes the arithmetic sequence shown?
7, 9, 11, 13, 15, 17, ...
A: f(x) = 2x - 5
B: f(x) = 5x - 2
C: f(x) = 2x + 5
D: f(x) = 5x + 2
C
Solve the following system of equation using substitution:
3x - 2y = - 2
x + 3y = 14
x = 2, y = 4
What is the value of (32)4 and what rule of exponents do you use?
38 Power of Power Rule
Identify the vertex of the parabola:
f(x) = -4(x + 1)2 + 8
(-1, 8)
DOUBLE JEOPARDY!!!
Find the average rate of change of the function over the interval [-7, -5]
f(x) = 3x2 - 3x - 4
-39
In the equation, what is the value of x?
1/4(x + 4x) + 12 = 1/2(2 - x) + 10
- 4/7
You graph the inequality 2x - y > 4. What direction do you shade, and do you use a solid or dashed line?
What is shade below the dashed line?
(Note: Rearranged as y < 2x - 4, so it’s a dashed line and shaded below.)
Multiply and answer in scientific notation:
(3×108)(6.8×10-13)
2.04×10-4
What are the zeros of this equation:
x2 - 5x - 14 = 0
7 and - 2
Find f(g(4))
f(x) = 2x and g(x) = 3x + 1
(Composite Functions)
8192