Algebra and Linear Equations Flashcards
6 cards from real IMSA practice questions. Tap to flip, then mark Knew It or Still Learning โ missed cards come back until you master them.
Read the first 6 Algebra and Linear Equations flashcards as text
Solve for x: 3x + 7 = 22
Answer: x = 5
Subtracting 7 from both sides gives 3x = 15, so x = 5.
Which of the following is the slope-intercept form of a linear equation?
Answer: y = mx + b
y = mx + b is the slope-intercept form where m is the slope and b is the y-intercept.
If 2x - 3y = 12 and x = 0, what is the value of y?
Answer: y = -4
Substituting x = 0 gives -3y = 12, so y = -4.
What is the solution to the system: x + y = 10 and x - y = 4?
Answer: x = 7, y = 3
Adding the equations gives 2x = 14, so x = 7, and substituting back gives y = 3.
A line passes through (2, 5) and (4, 9). What is its slope?
Answer: 2
Slope = (9 - 5)/(4 - 2) = 4/2 = 2.
Simplify: 4(2x - 3) + 2(x + 5)
Answer: 10x - 2
Distributing gives 8x - 12 + 2x + 10 = 10x - 2.