Practice Exam Actual 2025/2026 with Detailed
Rationales | 100% Verified | Pass Guaranteed – A+
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Section 1: Algebra & Patterns (10 Questions)
Q1: Which of the following is the simplified form of the expression 3(2x−5)+4(x+2)
?
A. 5x−7
B. 10x−7 [CORRECT]
C. 10x+23
D. 6x−15
Correct Answer: B
Rationale: Distributing gives 6x−15+4x+8 , and combining like terms yields 10x−7 .
Q2: If 2x+7=15 , what is the value of 3x−4 ?
A. 5
B. 8 [CORRECT]
C. 11
D. 20
Correct Answer: B
Rationale: Solving 2x+7=15 gives x=4 ; substituting into 3x−4 yields 3(4)−4=8 .
Q3: Which inequality represents the statement "Five less than twice a number is
greater than or equal to eleven"?
A. 5−2n≥11
B. 2n−5≥11 [CORRECT]
C. 2(n−5)≥11
D. 2n+5≥11
Correct Answer: B
,Rationale: "Twice a number" is 2n , and "five less than" that quantity is 2n−5 , which
must be greater than or equal to 11.
Q4: The function f(x)=3x−2 is evaluated at x=−2 . What is f(−2) ?
A. −8 [CORRECT]
B. −4
C. 4
D. 8
Correct Answer: A
Rationale: Substituting x=−2 gives f(−2)=3(−2)−2=−6−2=−8 .
Q5: A car travels at a constant speed of 60 miles per hour. Which equation
represents the distance d (in miles) the car travels in t hours?
A. d=60+t
B. d=60t [CORRECT]
C. d=
60
t
D. d=60−t
Correct Answer: B
Rationale: Distance equals rate multiplied by time, so d=60t represents the
relationship between distance and time at a constant speed of 60 mph.
Q6: Which of the following sequences follows the pattern "multiply by 2, then
subtract 1"?
A. 3,5,9,17,…
B. 3,5,9,17,33,… [CORRECT]
C. 3,6,12,24,…
D. 3,5,7,9,…
Correct Answer: B
, Rationale: Starting with 3: 3×2−1=5 , 5×2−1=9 , 9×2−1=17 , 17×2−1=33 , which
matches the pattern.
Q7: The graph of y=−2x+6 intersects the x -axis at which point?
A. (0,6)
B. (3,0) [CORRECT]
C. (−3,0)
D. (0,−6)
Correct Answer: B
Rationale: Setting y=0 gives 0=−2x+6 , so 2x=6 and x=3 ; the x -intercept is (3,0) .
Q8: If the point (4,k) lies on the line y=
2
1
x+3 , what is the value of k ?
A. 1
B. 5 [CORRECT]
C. 7
D. 11
Correct Answer: B
Rationale: Substituting x=4 into the equation gives y=
2
1
(4)+3=2+3=5 , so k=5 .
Q9: A rectangle has a length that is 3 centimeters more than twice its width. If the
perimeter is 36 cm, which equation can be used to find the width w ?
A. 2w+2(w+3)=36