Linear Equations
Solve for x: 3x + 6 = 21
x = 5
What is the area of a triangle with base 10 and height 6?
30
What is 20% of 80?
16
What is a “claim” in a passage?
The main point or argument the author is making.
Where is the comma needed? “Before eating the dog barked loudly.”
After “eating”
What is the slope of the line: y = –2x + 9
-2
A circle has radius 7. What is its circumference? (Use π)
14π
A price increases from $50 to $60. What is the percent increase?
20%
If a passage says “research suggests,” what type of evidence is being used?
Scientific or research‑based evidence.
What rule is used when placing a comma before “and” in a sentence?
Joining two independent clauses.
A line passes through (2, 5) with slope 3. Write its equation in slope‑intercept form.
y = 3x – 1
A right triangle has legs 8 and 15. What is the hypotenuse?
17
A shirt originally costs $40 but is discounted 25%. What is the sale price?
30
Identify the flaw: “Everyone in my class likes soccer, so everyone in the school must like soccer.”
Overgeneralization
“My brother who lives in Texas is visiting.”
My brother, who lives in Texas, is visiting.
Solve the system: 2x – y = 4, x + y = 11
x = 5, y = 6
A rectangle has perimeter 50 and width 8. What is its length?
17
A value decreases from 200 to 150. What is the percent decrease?
25%
If Part A asks for the main idea, what does Part B usually ask for?
Evidence supporting the answer to Part A.
Which sentence uses commas correctly?
A) I bought apples, and bananas and grapes.
B) I bought apples, bananas, and grapes.
B
A line has slope 4 and passes through (–3, 2). Write the equation in point‑slope form.
y – 2 = 4(x + 3)
The volume of a cylinder is 150π and the radius is 5. What is the height?
6
A number is increased by 30% to become 78. What was the original number?
60
What logical fallacy is this: “If you don’t support this plan, you must want the school to fail.”
False dilemma (either/or fallacy)
Fix the sentence: “Yes I think we should leave now.”
Yes, I think we should leave now.