ATI TEAS 7 Math Exam 2025
Questions and correct answers
1. Percent Problems
Q: What number is 25% of 80?
A: 20
Explanation:
80×0.25=2080 \times 0.25 = 2080×0.25=20
2. Proportions
Q: If 3 notebooks cost $6, how much do 5 notebooks cost?
A: $10
Explanation:
Set up a proportion:
36=5x⇒3x=30⇒x=10\frac{3}{6} = \frac{5}{x} \Rightarrow 3x = 30 \Rightarrow x = 1063=x5
⇒3x=30⇒x=10
3. Algebraic Expressions
Q: Simplify: 4x−3+2x+74x - 3 + 2x + 74x−3+2x+7
A: 6x+46x + 46x+4
Explanation: Combine like terms.
4. Conversions
,Q: Convert 3 feet to inches.
A: 36 inches
Explanation:
3 ft×12 in/ft=36 in3 \text{ ft} \times 12 \text{ in/ft} = 36 \text{ in}3 ft×12 in/ft=36 in
5. Fractions
Q: What is 34+23\frac{3}{4} + \frac{2}{3}43+32?
A: 1712\frac{17}{12}1217 or 15121 \frac{5}{12}1125
Explanation:
Find common denominator (12):
34=912,23=812,912+812=1712\frac{3}{4} = \frac{9}{12}, \quad \frac{2}{3} = \frac{8}{12},
\quad \frac{9}{12} + \frac{8}{12} = \frac{17}{12}43=129,32=128,129+128=1217
6. Word Problem – Distance
Q: A car travels 60 miles in 1.5 hours. What is the average speed?
A: 40 miles per hour
Explanation:
Speed=DistanceTime=601.5=40\text{Speed} = \frac{\text{Distance}}{\text{Time}} =
\frac{60}{1.5} = 40Speed=TimeDistance=1.560=40
7. Area
Q: What is the area of a triangle with base 10 cm and height 6 cm?
A: 30 cm²
Explanation:
Area=12×base×height=12×10×6=30\text{Area} = \frac{1}{2} \times \text{base} \times
\text{height} = \frac{1}{2} \times 10 \times 6 = 30Area=21×base×height=21×10×6=30
8. Decimal Operations
Q: Multiply 4.2 by 3.1
A: 13.02
Explanation:
4.2×3.1=13.024.2 \times 3.1 = 13.024.2×3.1=13.02
,9. Order of Operations
Q: Evaluate: 5+2×(8−3)25 + 2 \times (8 - 3)^25+2×(8−3)2
A: 55
Explanation:
8−3=552=252×25=505+50=558 - 3 = 5 \\ 5^2 = 25 \\ 2 \times 25 = 50 \\ 5 + 50 =
558−3=552=252×25=505+50=55
10. Rational Numbers
Q: Which of the following is a rational number?
A) √2
B) π
C) 0.75
D) √5
A: C) 0.75
Explanation: 0.75 is a terminating decimal and therefore rational.
11. Simple Interest
Q: Find the simple interest on $500 at 6% for 3 years.
A: $90
Explanation:
I=PRT=500×0.06×3=90I = PRT = 500 \times 0.06 \times 3 = 90I=PRT=500×0.06×3=90
12. Inequalities
Q: Solve: 2x−5>72x - 5 > 72x−5>7
A: x>6x > 6x>6
Explanation:
2x>12⇒x>62x > 12 \Right arrow x > 62x>12⇒x>6
13. Proportions
Q: x8=34\frac{x}{8} = \frac{3}{4}8x=43. Find x.
A: 6
Explanation:
, x=34×8=6x = \frac{3}{4} \times 8 = 6x=43×8=6
14. Percent Increase
Q: A shirt was $40 and is now $50. What is the percent increase?
A: 25%
Explanation:
50−4040×100=1040×100=25%\frac{50 - 40}{40} \times 100 = \frac{10}{40} \times 100 =
25\%4050−40×100=4010×100=25%
15. Mean (Average)
Q: Find the mean of 12, 18, 24, and 30.
A: 21
Explanation:
12+18+24+304=844=21\frac{12 + 18 + 24 + 30}{4} = \frac{84}{4} = 21412+18+24+30=484
=21
16. Probability
Q: A bag has 3 red, 2 blue, and 5 green marbles. What is the probability of picking a red marble?
A: 310\frac{3}{10}103
Explanation:
Total marbles = 10. Red = 3. So, 310\frac{3}{10}103
17. Simplifying Expressions
Q: Simplify: (3x+2)+(5x−7)(3x + 2) + (5x - 7)(3x+2)+(5x−7)
A: 8x−58x - 58x−5
18. Volume
Q: Find the volume of a cube with side length 4 cm.
A: 64 cm³
Explanation:
V=s3=43=64V = s^3 = 4^3 = 64V=s3=43=64
Questions and correct answers
1. Percent Problems
Q: What number is 25% of 80?
A: 20
Explanation:
80×0.25=2080 \times 0.25 = 2080×0.25=20
2. Proportions
Q: If 3 notebooks cost $6, how much do 5 notebooks cost?
A: $10
Explanation:
Set up a proportion:
36=5x⇒3x=30⇒x=10\frac{3}{6} = \frac{5}{x} \Rightarrow 3x = 30 \Rightarrow x = 1063=x5
⇒3x=30⇒x=10
3. Algebraic Expressions
Q: Simplify: 4x−3+2x+74x - 3 + 2x + 74x−3+2x+7
A: 6x+46x + 46x+4
Explanation: Combine like terms.
4. Conversions
,Q: Convert 3 feet to inches.
A: 36 inches
Explanation:
3 ft×12 in/ft=36 in3 \text{ ft} \times 12 \text{ in/ft} = 36 \text{ in}3 ft×12 in/ft=36 in
5. Fractions
Q: What is 34+23\frac{3}{4} + \frac{2}{3}43+32?
A: 1712\frac{17}{12}1217 or 15121 \frac{5}{12}1125
Explanation:
Find common denominator (12):
34=912,23=812,912+812=1712\frac{3}{4} = \frac{9}{12}, \quad \frac{2}{3} = \frac{8}{12},
\quad \frac{9}{12} + \frac{8}{12} = \frac{17}{12}43=129,32=128,129+128=1217
6. Word Problem – Distance
Q: A car travels 60 miles in 1.5 hours. What is the average speed?
A: 40 miles per hour
Explanation:
Speed=DistanceTime=601.5=40\text{Speed} = \frac{\text{Distance}}{\text{Time}} =
\frac{60}{1.5} = 40Speed=TimeDistance=1.560=40
7. Area
Q: What is the area of a triangle with base 10 cm and height 6 cm?
A: 30 cm²
Explanation:
Area=12×base×height=12×10×6=30\text{Area} = \frac{1}{2} \times \text{base} \times
\text{height} = \frac{1}{2} \times 10 \times 6 = 30Area=21×base×height=21×10×6=30
8. Decimal Operations
Q: Multiply 4.2 by 3.1
A: 13.02
Explanation:
4.2×3.1=13.024.2 \times 3.1 = 13.024.2×3.1=13.02
,9. Order of Operations
Q: Evaluate: 5+2×(8−3)25 + 2 \times (8 - 3)^25+2×(8−3)2
A: 55
Explanation:
8−3=552=252×25=505+50=558 - 3 = 5 \\ 5^2 = 25 \\ 2 \times 25 = 50 \\ 5 + 50 =
558−3=552=252×25=505+50=55
10. Rational Numbers
Q: Which of the following is a rational number?
A) √2
B) π
C) 0.75
D) √5
A: C) 0.75
Explanation: 0.75 is a terminating decimal and therefore rational.
11. Simple Interest
Q: Find the simple interest on $500 at 6% for 3 years.
A: $90
Explanation:
I=PRT=500×0.06×3=90I = PRT = 500 \times 0.06 \times 3 = 90I=PRT=500×0.06×3=90
12. Inequalities
Q: Solve: 2x−5>72x - 5 > 72x−5>7
A: x>6x > 6x>6
Explanation:
2x>12⇒x>62x > 12 \Right arrow x > 62x>12⇒x>6
13. Proportions
Q: x8=34\frac{x}{8} = \frac{3}{4}8x=43. Find x.
A: 6
Explanation:
, x=34×8=6x = \frac{3}{4} \times 8 = 6x=43×8=6
14. Percent Increase
Q: A shirt was $40 and is now $50. What is the percent increase?
A: 25%
Explanation:
50−4040×100=1040×100=25%\frac{50 - 40}{40} \times 100 = \frac{10}{40} \times 100 =
25\%4050−40×100=4010×100=25%
15. Mean (Average)
Q: Find the mean of 12, 18, 24, and 30.
A: 21
Explanation:
12+18+24+304=844=21\frac{12 + 18 + 24 + 30}{4} = \frac{84}{4} = 21412+18+24+30=484
=21
16. Probability
Q: A bag has 3 red, 2 blue, and 5 green marbles. What is the probability of picking a red marble?
A: 310\frac{3}{10}103
Explanation:
Total marbles = 10. Red = 3. So, 310\frac{3}{10}103
17. Simplifying Expressions
Q: Simplify: (3x+2)+(5x−7)(3x + 2) + (5x - 7)(3x+2)+(5x−7)
A: 8x−58x - 58x−5
18. Volume
Q: Find the volume of a cube with side length 4 cm.
A: 64 cm³
Explanation:
V=s3=43=64V = s^3 = 4^3 = 64V=s3=43=64
