Equations and inequalities
Solve the following linear equation for x:
3(x - 4) + 2x = 8x – 3
x = -3
Given the function f(x) = -3x + 7, find the value of f(-2)
f(-2) = 13
Simplify the polynomial expression by combining like terms: (3x² + 5x - 6) + (2x² - 8x + 4)
5x²- 3x – 2
This process allows plants to make food using sunlight
Photosynthesis
What is the term for a word that describes a noun?
Adjective
Solve the linear inequality for y:
-2y + 5 > 11
y < -3
An exponential function is modeled by g(x) = 5 • (2)x. What is the value of g(3)?
40
Multiply the binomials and write the product in standard form: (x + 4)(x - 3)
x²+ x – 12
This term describes the path a planet takes as it moves around the Sun
Orbit
What do we call the first paragraph of an essay that introduces the topic?
Introduction
A system of equations is given below:
2x + 3y = 12
x - y = 1
What is the value of x in the solution to this system?
x = 3
A linear function passes through the points (2, 5) and (4, 11). What is the constant rate of change (slope) of this function?
HINT: Rate of change formula:
m = (y2 - y1) / (x2 - x1)
3
The scatter plot below shows a strong negative linear correlation between the number of hours spent playing video games (x) and a student's score on a math quiz (y). The line of best fit is given by y = -5x + 95. What does the slope of this line mean?
For every hour of video games, the quiz score decreases by 5 points
This layer of Earth is made of solid rock and is where we live
The Crust
A word that has the opposite meaning of another word is called a what?
Antonym
What value of x makes the rational equation true?
(2x / 3) - 4 = 2
HINT: Answer should be x = ____
x = 9
A new smartphone costs $900 and depreciates exponentially at a rate of 20% each year. Which function models the value of the phone, V(t), after t years?
HINT: Exponential decay model formula is
V(t) = P(1 -r)t
V(t) = 900(0.80)t
The dimensions of a rectangular garden plot are represented by a length of (2x + 3) feet and a width of (x + 5) feet. Which polynomial expression represents the total area of the garden in square feet?
HINT: Area = Length • Width
2x² + 13x + 15
This is the step where a scientist makes an educated guess about what will happen.
Hypothesis
What is the term for a comparison using like or as?
Simile
A local theater charges $8 for student tickets and $12 for adult tickets. For one show, the theater sold a total of 150 tickets and collected $1,440 in revenue. Which system of equations can be used to find the number of student tickets (s) and adult tickets (a) sold?
A) s + a = 150
8s + 12a = 1440
B) s + a = 1440
8s + 12a = 150
C) 8s + 12a = 150
s + a = 1440
D) 12s + 8a = 150
s + a = 1440
A. s + a = 150
8s + 12a = 1440
An online streaming service charges a flat monthly fee of $10 plus $2 for every premium movie rented. The total monthly cost is given by C(m) = 2m + 10, where m is the number of premium movies. What does the y-intercept represent in the context of the problem?
HINT: Linear function formula is y = mx + b
The flat monthly subscription fee
A company tracks its monthly advertising expenditure (x, in thousands of dollars) and monthly sales revenue (y, in thousands of dollars). The linear regression equation is calculated as y = 8.5x + 12. If the company spends $4,000 on advertising next month, what is their predicted sales revenue?
$46,000
This organelle is known as the “powerhouse of the cell” because it produces energy
Mitochondria
When an author gives human qualities to non-human things, what is that called?
Personification