ATI TEAS 6 Comprehensive Study Guide
Actual Questions and Answers |
Mathematics Science English & Language
Usage | 2025/2026/2027 Edition | Verified
Questions | A+ Graded Exam Prep
SECTION 1: MATHEMATICS
Subsection 1.1: Numbers and Algebra
Q1: What is the value of 3/5 + 2/3 expressed as a fraction in simplest form?
A. 5/8
B. 19/15
C. 6/15
D. 1 4/15
Correct Answer: B
Step-by-Step Solution:
1. Find common denominator: LCM of 5 and 3 is 15
2. Convert fractions: 3/5 = 9/15, 2/3 = 10/15
3. Add: 9/15 + 10/15 = 19/15
, 4. Simplify: 19/15 is already in simplest form
Rationale: When adding fractions with unlike denominators, you must find a common
denominator before adding. The LCM of 5 and 3 is 15. Converting gives 9/15 + 10/15 =
19/15, which cannot be simplified further.
Q2: Solve for x: 4(x - 3) = 2x + 8
A. x = 2
B. x = 5
C. x = 10
D. x = 14
Correct Answer: C
Step-by-Step Solution:
1. Distribute: 4x - 12 = 2x + 8
2. Subtract 2x from both sides: 2x - 12 = 8
3. Add 12 to both sides: 2x = 20
4. Divide both sides by 2: x = 10
Rationale: Solving linear equations requires isolating the variable by performing inverse
operations. First distribute the 4, then combine like terms by moving variable terms to
one side and constants to the other.
Q3: What is 45% of 80?
A. 36
B. 40
, C. 44
D. 36.5
Correct Answer: A
Step-by-Step Solution:
1. Convert percentage to decimal: 45% = 0.45
2. Multiply: 0.45 × 80 = 36
Rationale: To find a percentage of a number, convert the percentage to a decimal and
multiply. 45% of 80 means 0.45 × 80 = 36.
Q4: A recipe calls for a ratio of 3 cups of flour to 2 cups of sugar. If you use 9 cups of
flour, how many cups of sugar are needed?
A. 4 cups
B. 6 cups
C. 8 cups
D. 12 cups
Correct Answer: B
Step-by-Step Solution:
1. Set up proportion: 3/2 = 9/x
2. Cross-multiply: 3x = 18
3. Solve for x: x = 6
Rationale: Proportions maintain equal ratios. Since 9 cups of flour is 3 times the original
3 cups, you need 3 times the sugar: 2 × 3 = 6 cups.
Actual Questions and Answers |
Mathematics Science English & Language
Usage | 2025/2026/2027 Edition | Verified
Questions | A+ Graded Exam Prep
SECTION 1: MATHEMATICS
Subsection 1.1: Numbers and Algebra
Q1: What is the value of 3/5 + 2/3 expressed as a fraction in simplest form?
A. 5/8
B. 19/15
C. 6/15
D. 1 4/15
Correct Answer: B
Step-by-Step Solution:
1. Find common denominator: LCM of 5 and 3 is 15
2. Convert fractions: 3/5 = 9/15, 2/3 = 10/15
3. Add: 9/15 + 10/15 = 19/15
, 4. Simplify: 19/15 is already in simplest form
Rationale: When adding fractions with unlike denominators, you must find a common
denominator before adding. The LCM of 5 and 3 is 15. Converting gives 9/15 + 10/15 =
19/15, which cannot be simplified further.
Q2: Solve for x: 4(x - 3) = 2x + 8
A. x = 2
B. x = 5
C. x = 10
D. x = 14
Correct Answer: C
Step-by-Step Solution:
1. Distribute: 4x - 12 = 2x + 8
2. Subtract 2x from both sides: 2x - 12 = 8
3. Add 12 to both sides: 2x = 20
4. Divide both sides by 2: x = 10
Rationale: Solving linear equations requires isolating the variable by performing inverse
operations. First distribute the 4, then combine like terms by moving variable terms to
one side and constants to the other.
Q3: What is 45% of 80?
A. 36
B. 40
, C. 44
D. 36.5
Correct Answer: A
Step-by-Step Solution:
1. Convert percentage to decimal: 45% = 0.45
2. Multiply: 0.45 × 80 = 36
Rationale: To find a percentage of a number, convert the percentage to a decimal and
multiply. 45% of 80 means 0.45 × 80 = 36.
Q4: A recipe calls for a ratio of 3 cups of flour to 2 cups of sugar. If you use 9 cups of
flour, how many cups of sugar are needed?
A. 4 cups
B. 6 cups
C. 8 cups
D. 12 cups
Correct Answer: B
Step-by-Step Solution:
1. Set up proportion: 3/2 = 9/x
2. Cross-multiply: 3x = 18
3. Solve for x: x = 6
Rationale: Proportions maintain equal ratios. Since 9 cups of flour is 3 times the original
3 cups, you need 3 times the sugar: 2 × 3 = 6 cups.
