Linear equations
In the standard slope-intercept form equation y = mx + b, this letter represents the slope of the line.
What is m?
A comparison of two numbers by division, it can be written with a colon, as a fraction, or using the word "to".
What is a ratio?
Because the instructions were very clear and simple, they were easy to ________.
What is understand?(also will accept "follow")
Use this common 3-letter transition to show a contrast: "Maria loved the winter; ________, she absolutely hated the freezing wind."
What is but? (also will accept "yet")
This first basic step of factoring involves pulling out the "GCF," which stands for this.
What is Greatest Common Factor?
This is the value of x that correctly satisfies the linear equation 3x - 7 = 14.
What is 7? (Add 7 to get 3x = 21, then divide by 3)
If a car travels 120 miles in 2 hours, this is its unit rate in miles per hour.
What is 60 mph? (120 divided by 2)
The dirty water was full of bacteria, making it ________ to drink.
What is unsafe? (also will accept "dangerous" or "bad")
This transition shows cause-and-effect: "The team practiced every single day; ________, they easily won the championship game."
What is therefore? (will also accept "so")
When factoring a basic quadratic like x² + 5x + 6, you need to find two numbers that multiply to 6 and do this to 5.
What is add?
Parallel lines on a coordinate plane will always share this exact geometric characteristic.
What is the same slope? (or "equal slopes")
To find an unknown variable in a proportion, you use this cross-multiplication technique named for its visual "X" shape.
What is the butterfly method? (also accept "cross-product property")
Although the two friends usually argue, today they finally managed to ________ on a plan.
What is agree?
This word adds more information: "Studying vocabulary improves your reading score; ________, it helps you write better essays."
What is additionally?
Because it features two perfect squares separated by a minus sign, x² - 9 is known by this special 4-word name.
What is Difference of Squares?
Representing the point where a line crosses the horizontal axis, it is found by setting y = 0 in the equation.
What is the x-intercept?
On a map, a scale of 1 inch to 5 miles represents this type of geometric drawing, where dimensions are proportional to actual sizes.
What is a scale drawing? (also accept "scale model")
Instead of giving a short answer, the teacher gave a ________ explanation that covered every single detail.
What is detailed? (will accept "long")
Use this transition to introduce a clear example: "The museum has many rare artifacts; ________, it houses a 2,000-year-old Roman coin."
What is for example?
If a polynomial has four terms, like x³ + 2x² + 3x + 6, you factor it by splitting it into pairs, a method called factoring by this.
What is grouping? (or "factoring by grouping")
Written as y - y₁ = m(x - x₁), this specific linear form is named for the two pieces of information it requires.
What is point-slope form?
If a 10-ounce box of cereal costs $5.00, this is the unit rate, or the price per single ounce.
What is 50 cents?
The dark clouds and strong winds suggested that a bad storm was ________ to happen soon.
What is about? (also will accept going)
This fancy transition means "in a similar way": "Baking requires exact ingredient measurements; ________, chemistry requires precise chemical mixes."
What is likewise? (also accept "similarly")
This is the fully factored form of the expression x² - 10x + 25, which can also be written as (x - 5)².
What is (x - 5)(x - 5)?