ATI TEAS 7 ADVANCED MATH PRACTICE TEST (2026 EDITION)|| QUESTIONS AND ANSWERS WITH RATIONALES/GRADED A+/2026 UPDATE/100% CORRECT /INSTANT DOWNLOAD

ATI TEAS 7 ADVANCED MATH
PRACTICE TEST (2026 EDITION)||
QUESTIONS AND ANSWERS
WITH RATIONALES/GRADED
A+/2026 UPDATE/100% CORRECT
/INSTANT DOWNLOAD
Section 1: Algebra & Equations (Questions 1–15)
1. Solve for xx: 3(x−4)+5=2x+73(x−4)+5=2x+7
A) x=10x=10
B) x=14x=14
C) x=12x=12
D) x=8x=8
Correct Answer: B) x=14x=14
Rationale: 3x−12+5=2x+73x−12+5=2x+7 → 3x−7=2x+73x−7=2x+7 → x=14x
=14.
2. If 5y+2=3y−105y+2=3y−10, what is yy?
A) -6
B) -4
C) 4
D) 6
Correct Answer: A) -6
Rationale: 5y−3y=−10−25y−3y=−10−2 → 2y=−122y=−12 → y=−6y=−6.
3. Solve the inequality: 4−2x≤104−2x≤10
A) x≥−3x≥−3
B) x≤−3x≤−3
C) x≥3x≥3
D) x≤3x≤3

,Correct Answer: A) x≥−3x≥−3
*Rationale: −2x≤6−2x≤6 → divide by -2 (reverse sign) → x≥−3x≥−3.*
4. What is the slope of the line through (2, 3) and (5, 11)?
A) 8/3
B) 3/8
C) 8
D) 3
Correct Answer: A) 8/3
Rationale: (11−3)/(5−2)=8/3(11−3)/(5−2)=8/3.
5. Solve for zz: z4+3=74z+3=7
A) 10
B) 12
C) 16
D) 20
Correct Answer: C) 16
Rationale: z/4=4z/4=4 → z=16z=16.
6. If f(x)=2x2−3x+1f(x)=2x2−3x+1, find f(−2)f(−2).
A) 15
B) 11
C) 9
D) 7
Correct Answer: A) 15
Rationale: 2(4)−3(−2)+1=8+6+1=152(4)−3(−2)+1=8+6+1=15.
7. Solve the system: x+y=10x+y=10, x−y=4x−y=4
A) (7,3)
B) (6,4)
C) (5,5)
D) (8,2)
Correct Answer: A) (7,3)
Rationale: Add equations → 2x=142x=14 → x=7x=7, then y=3y=3.
8. Which equation represents a line perpendicular to y=3x−2y=3x−2?
A) y=3x+5y=3x+5
B) y=−3x+1y=−3x+1

, C) y=−13x+4y=−31x+4
D) y=13x−7y=31x−7
Correct Answer: C) y=−13x+4y=−31x+4
Rationale: Perpendicular slopes are negative
reciprocals: 3×−1/3=−13×−1/3=−1.
9. Solve: 2(3x−1)=4x+102(3x−1)=4x+10
A) 6
B) 4
C) 8
D) 5
Correct Answer: A) 6
Rationale: 6x−2=4x+106x−2=4x+10 → 2x=122x=12 → x=6x=6.
10. What is the y-intercept of 4x−2y=84x−2y=8?
A) (0, -4)
B) (0, 4)
C) (0, 2)
D) (0, -2)
Correct Answer: A) (0, -4)
Rationale: Set x=0x=0 → −2y=8−2y=8 → y=−4y=−4.
11. If 32x=8132x=81, find xx.
A) 2
B) 3
C) 4
D) 1
Correct Answer: A) 2
Rationale: 32x=3432x=34 → 2x=42x=4 → x=2x=2.
12. Factor: x2−5x−14x2−5x−14
A) (x−7)(x+2)(x−7)(x+2)
B) (x−2)(x+7)(x−2)(x+7)
C) (x−14)(x+1)(x−14)(x+1)
D) (x+14)(x−1)(x+14)(x−1)
Correct Answer: A) (x−7)(x+2)(x−7)(x+2)
*Rationale: Factors of -14 sum to -5: -7 and +2.*