IMSA Algebra and Linear Equations 1 — Questions and Answers
Question 1: Solve for x: 3x + 7 = 22
- x = 5 (Correct answer)
- x = 7
- x = 3
- x = 4
Correct answer: x = 5
Subtracting 7 from both sides gives 3x = 15, so x = 5.
Question 2: Which of the following is the slope-intercept form of a linear equation?
- y = mx + b (Correct answer)
- ax + by = c
- y - y1 = m(x - x1)
- x/a + y/b = 1
Correct answer: y = mx + b
y = mx + b is the slope-intercept form where m is the slope and b is the y-intercept.
Question 3: If 2x - 3y = 12 and x = 0, what is the value of y?
- y = -4 (Correct answer)
- y = 4
- y = 6
- y = -6
Correct answer: y = -4
Substituting x = 0 gives -3y = 12, so y = -4.
Question 4: What is the solution to the system: x + y = 10 and x - y = 4?
- x = 7, y = 3 (Correct answer)
- x = 3, y = 7
- x = 6, y = 4
- x = 5, y = 5
Correct answer: x = 7, y = 3
Adding the equations gives 2x = 14, so x = 7, and substituting back gives y = 3.
Question 5: A line passes through (2, 5) and (4, 9). What is its slope?
- 2 (Correct answer)
- 1/2
- 4
- 3
Correct answer: 2
Slope = (9 - 5)/(4 - 2) = 4/2 = 2.
Question 6: Simplify: 4(2x - 3) + 2(x + 5)
- 10x - 2 (Correct answer)
- 8x - 2
- 10x + 2
- 6x - 2
Correct answer: 10x - 2
Distributing gives 8x - 12 + 2x + 10 = 10x - 2.
IMSA Algebra and Linear Equations 1
Solve for x: 3x + 7 = 22