Functions
Systems of Linear Equations and Inequalities in Two Variables
Linear and Quadratic Functions
Quadratic Equations and Inequalities
Angles and Parallel Lines
100
This word is used to describe the set of all inputs for a function.
domain
100
What is the solution to the system of linear equations?
(2,9)
100
What is the standard form of a Linear Function?
y = f(x) = mx + b
(also known as the slope-intercept form)
100
Solve the following quadratic equation by using extracting square roots: 4x2 = 400
4x2 = 400
x2 = 100
sqrt(x2) = +-sqrt (100)
x = 10 or -10
100
If a pair of angles add up to a degree of 180, what are the angles called?
Supplementary Angles
200
Does the following table represent a function?
x y
1 2
2 5
6 2
2 9
5 1
No, because the input (x) of 2 has two different outputs (y)
200
After solving a system of linear equations using substitution, you end with 5 = 8. How many solutions does this system of linear equations have?
no solution
200
What is the slope of the line that passes through (-3, 7) and (1, -1)?
m = -2
200
Solve the following quadratic equation by factoring. 2x2 - 5x - 3 = 0
ac = (2)(-3) = -6 (factors: (-6 and 1)
2x2 - 6x + x - 3 = 0
(2x2 - 6x) + (x - 3) = 0
2x(x - 3) + 1(x - 3) = 0
(2x + 1)(x - 3) = 0
x = -1/2 or x = 3
200
A pair of angles that are outside the parallel lines and on opposite sides of the transversal, they are congruent.
Alternate exterior angles
300
Let f(x) = x2 + x + 1; find f(-5).
f(-5) = 21
300
What is the solution to the system of linear equations?
x+y=-1
3x-2y=12
(2,-3)
300
What is the equation of the line that passes through (-3, 7) and (1, -1), in standard form?
y = -2x + 1
300
Solve by completing the square:
x2 + 6x + 5 = 0
x2 + 6x = -5
x2 + 6x + 9 = -5 + 9
(x + 3)2 = 4
x + 3 = 2 or x + 3 = -2
x = -1 or x = -5
300
If two parallel lines are cut by a transversal, then, same-side (consecutive) interior angles are ________________.
supplementary
400
This word describes any set of ordered pairs where each x-value is paired with one y-value.
Function
400
Which is a solution to the system of linear inequalities below?
y ≤ x − 2
y > −3x + 5
a) (0, 0)
b) (0, -2)
c) (3, 3)
d) (5, 0)
d) (5, 0)
400
What is the equation of the axis of symmetry of y = -2(x+5)2 - 6?
x = -5
400
Which is NOT a solution to the inequality, 2x2 + 7 > 9x?
a) -2
b) -1
c) 0
d) 1
d) 1
400
Refer to this link for the figure: https://drive.google.com/file/d/16Kc6Qcb5rl-P6MhpBdjSGbIn01LtPvYY/view?usp=drive_link
What is the measurement of angle 3?
45 degrees
500
In general, what is the domain of a Quadratic Function?
all real numbers
500
An elementary school teacher is ordering x workbooks and y sets of flash cards for a math class. The teacher must order at least 20 items, but the total cost of the order must not be over $80. if the workbooks cost $3 each and the flash cards cost $4 per set, which system of inequalities illustrates the situation?
a. x+y>20, 3x+4y<80
b. x+y>20, 3x+4y>80
c. 3x+4y<20, x+y>80
d. x+y<20, 3x+4y>80
a. x+y>20, 3x+4y<80
500
What is the vertex of y = 5x2 + 10x - 2?
(-1, -7)
500
Solve the inequality and write your solution in interval and set-builder notation:
2x2+5x < 12
set-builder notation:
{x| -4<x<1.5}
interval notation:
(-4, 1.5)
500
Refer to this link for the figure: https://drive.google.com/file/d/16Kc6Qcb5rl-P6MhpBdjSGbIn01LtPvYY/view?usp=drive_link
What is the value of x?
x = 20