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Pennsylvania Keystone Exams | Latest Verified Questions
and Detailed Answers
OVERVIEW DESCRIPTION:
This collection of multiple-choice questions is designed for the Pennsylvania Keystone
Exams in Algebra I, Biology, and Literature. The questions are distributed across the three
subjects, and directly address the key module topics: for Algebra I—linear equations,
inequalities, functions, and data analysis; for Biology—cellular processes, genetics,
evolution, and ecology; for Literature—fiction and nonfiction comprehension, literary
devices, and text structure. Each question follows a consistent format featuring the
question stem, four answer choices, a correct answer indicator, and a brief expert rationale,
providing an efficient tool for review and assessment.
ALGEBRA I
QUESTION 1
Solve for x: 3(x - 4) = 2x + 7
A) x = -5
B) x = 5
C) x = 19
D) x = -19
CORRECT ANSWER: C
EXPERT RATIONALE: Distribute 3 to get 3x - 12 = 2x + 7, then subtract 2x and add 12 to
get x = 19.
QUESTION 2
What is the slope of the line passing through (2, 5) and (6, 9)?
A) 1
B) 2
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C) 1/2
D) 4
CORRECT ANSWER: A
EXPERT RATIONALE: Slope = (9-5)/(6-2) = 4/4 = 1.
QUESTION 3
Simplify: 4x² + 3x - 2x² - 5x
A) 2x² - 2x
B) 2x² + 8x
C) 6x² - 2x
D) 6x² + 8x
CORRECT ANSWER: A
EXPERT RATIONALE: Combine like terms: 4x² - 2x² = 2x², and 3x - 5x = -2x.
QUESTION 4
Solve the inequality: -2x + 5 > 13
A) x > -4
B) x < -4
C) x > 4
D) x < 4
CORRECT ANSWER: B
EXPERT RATIONALE: Subtract 5: -2x > 8, divide by -2 (flip inequality): x < -4.
QUESTION 5
What is the y-intercept of y = 3x - 7?
A) (0, 3)
B) (0, -7)
C) (3, 0)
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D) (-7, 0)
CORRECT ANSWER: B
EXPERT RATIONALE: The y-intercept occurs when x = 0, giving y = -7.
QUESTION 6
Solve the system: y = 2x + 1 and y = -x + 4
A) (1, 3)
B) (3, 1)
C) (2, 5)
D) (0, 1)
CORRECT ANSWER: A
EXPERT RATIONALE: Set 2x+1 = -x+4 → 3x = 3 → x=1, then y=3.
QUESTION 7
Factor completely: x² - 9
A) (x - 3)(x - 3)
B) (x + 3)(x - 3)
C) (x + 9)(x - 1)
D) (x - 9)(x + 1)
CORRECT ANSWER: B
EXPERT RATIONALE: Difference of squares: a² - b² = (a+b)(a-b), so x² - 9 = (x+3)(x-3).
QUESTION 8
What is the solution to |2x - 1| = 7?
A) x = 4 only
B) x = -3 only
C) x = 4 or x = -3
D) x = 4 or x = 3
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CORRECT ANSWER: C
EXPERT RATIONALE: Two cases: 2x-1=7 → x=4; 2x-1=-7 → x=-3.
QUESTION 9
A line has slope -2 and passes through (0, 5). What is its equation?
A) y = -2x + 5
B) y = 2x + 5
C) y = -2x - 5
D) y = 5x - 2
CORRECT ANSWER: A
EXPERT RATIONALE: Slope-intercept form y = mx + b, with m=-2 and y-intercept 5.
QUESTION 10
Simplify: (3x²y³)(2xy⁴)
A) 5x³y⁷
B) 6x³y⁷
C) 6x²y¹²
D) 5x²y¹²
CORRECT ANSWER: B
EXPERT RATIONALE: Multiply coefficients: 3*2=6; add exponents: x^(2+1)=x³,
y^(3+4)=y⁷.
QUESTION 11
What is the x-intercept of 2x + 3y = 12?
A) (0, 4)
B) (4, 0)
C) (6, 0)
D) (0, 6)
Pennsylvania Keystone Exams | Latest Verified Questions
and Detailed Answers
OVERVIEW DESCRIPTION:
This collection of multiple-choice questions is designed for the Pennsylvania Keystone
Exams in Algebra I, Biology, and Literature. The questions are distributed across the three
subjects, and directly address the key module topics: for Algebra I—linear equations,
inequalities, functions, and data analysis; for Biology—cellular processes, genetics,
evolution, and ecology; for Literature—fiction and nonfiction comprehension, literary
devices, and text structure. Each question follows a consistent format featuring the
question stem, four answer choices, a correct answer indicator, and a brief expert rationale,
providing an efficient tool for review and assessment.
ALGEBRA I
QUESTION 1
Solve for x: 3(x - 4) = 2x + 7
A) x = -5
B) x = 5
C) x = 19
D) x = -19
CORRECT ANSWER: C
EXPERT RATIONALE: Distribute 3 to get 3x - 12 = 2x + 7, then subtract 2x and add 12 to
get x = 19.
QUESTION 2
What is the slope of the line passing through (2, 5) and (6, 9)?
A) 1
B) 2
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C) 1/2
D) 4
CORRECT ANSWER: A
EXPERT RATIONALE: Slope = (9-5)/(6-2) = 4/4 = 1.
QUESTION 3
Simplify: 4x² + 3x - 2x² - 5x
A) 2x² - 2x
B) 2x² + 8x
C) 6x² - 2x
D) 6x² + 8x
CORRECT ANSWER: A
EXPERT RATIONALE: Combine like terms: 4x² - 2x² = 2x², and 3x - 5x = -2x.
QUESTION 4
Solve the inequality: -2x + 5 > 13
A) x > -4
B) x < -4
C) x > 4
D) x < 4
CORRECT ANSWER: B
EXPERT RATIONALE: Subtract 5: -2x > 8, divide by -2 (flip inequality): x < -4.
QUESTION 5
What is the y-intercept of y = 3x - 7?
A) (0, 3)
B) (0, -7)
C) (3, 0)
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D) (-7, 0)
CORRECT ANSWER: B
EXPERT RATIONALE: The y-intercept occurs when x = 0, giving y = -7.
QUESTION 6
Solve the system: y = 2x + 1 and y = -x + 4
A) (1, 3)
B) (3, 1)
C) (2, 5)
D) (0, 1)
CORRECT ANSWER: A
EXPERT RATIONALE: Set 2x+1 = -x+4 → 3x = 3 → x=1, then y=3.
QUESTION 7
Factor completely: x² - 9
A) (x - 3)(x - 3)
B) (x + 3)(x - 3)
C) (x + 9)(x - 1)
D) (x - 9)(x + 1)
CORRECT ANSWER: B
EXPERT RATIONALE: Difference of squares: a² - b² = (a+b)(a-b), so x² - 9 = (x+3)(x-3).
QUESTION 8
What is the solution to |2x - 1| = 7?
A) x = 4 only
B) x = -3 only
C) x = 4 or x = -3
D) x = 4 or x = 3
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CORRECT ANSWER: C
EXPERT RATIONALE: Two cases: 2x-1=7 → x=4; 2x-1=-7 → x=-3.
QUESTION 9
A line has slope -2 and passes through (0, 5). What is its equation?
A) y = -2x + 5
B) y = 2x + 5
C) y = -2x - 5
D) y = 5x - 2
CORRECT ANSWER: A
EXPERT RATIONALE: Slope-intercept form y = mx + b, with m=-2 and y-intercept 5.
QUESTION 10
Simplify: (3x²y³)(2xy⁴)
A) 5x³y⁷
B) 6x³y⁷
C) 6x²y¹²
D) 5x²y¹²
CORRECT ANSWER: B
EXPERT RATIONALE: Multiply coefficients: 3*2=6; add exponents: x^(2+1)=x³,
y^(3+4)=y⁷.
QUESTION 11
What is the x-intercept of 2x + 3y = 12?
A) (0, 4)
B) (4, 0)
C) (6, 0)
D) (0, 6)
