Complete this realistic SAT Math exam, featuring Module 1, and strengthen the algebra, functions, percentages, quadratics, and problem-solving skills needed to choose the best answer under timed pressure. These modules are designed to mirror the feel of the real exam, helping you build accuracy, confidence, and control as you work through each problem with speed and precision. Each module includes 22 questions and is timed for 35 minutes.
Quiz Summary
0 of 22 Questions completed
Questions:
Information
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading…
You must sign in or sign up to start the quiz.
You must first complete the following:
Results
Results
0 of 22 Questions answered correctly
Your time:
Time has elapsed
You have reached 0 of 0 point(s), (0)
Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)
| Average score | |
| Your score |
Categories
- Not categorized 0%
- Question:
Solve for x: 2x – 3 = 9.
A. 4
B. 5
C. 6
D. 7Correct answer: C. 6
Why C is correct:
Add 3 to both sides: 2x = 12. Then divide by 2: x = 6.Why the others are incorrect:
A. 2(4) – 3 = 5
B. 2(5) – 3 = 7
D. 2(7) – 3 = 112. Solve for x: |2x − 7| = 3x − 1
Case 1:
2x − 7 = 3x − 1
x = -6
Check:
|2(-6) − 7| = 19, but 3(-6) − 1 = -19, so this failsCase 2:
-(2x − 7) = 3x − 1
-2x + 7 = 3x − 1
8 = 5x
x = 8/5
Check:
|16/5 − 35/5| = 19/5 and 24/5 − 5/5 = 19/5, so it worksCorrect answer: C) 8/5
- Question:
Solve for x: (x / 2) + 2 = 6.
A. 6
B. 8
C. 10
D. 12Correct answer: B. 8
Why B is correct:
Subtract 2 from both sides: x/2 = 4. Then multiply by 2: x = 8.Why the others are incorrect:
A. 6/2 + 2 = 5
C. 10/2 + 2 = 7
D. 12/2 + 2 = 8- Question: Solve for x: √(x + 9) − 1 = x/2
Add 1:
√(x + 9) = x/2 + 1
Square both sides:
x + 9 = (x/2 + 1)²
x + 9 = x²/4 + x + 1
9 = x²/4 + 1
8 = x²/4
32 = x²
x = ±4√2
Check:
- x = 4√2 works
- x = -4√2 does not work in the original equation
Correct answer: 4√2
- Question:
Solve for x: 2(x + 4) – 3 = 15.
A. 4
B. 5
C. 6
D. 7Correct answer: B. 5
Why B is correct:
Add 3 to both sides: 2(x + 4) = 18.
Divide by 2: x + 4 = 9.
Subtract 4: x = 5.Why the others are incorrect:
A. 2(4 + 4) – 3 = 13
C. 2(6 + 4) – 3 = 17
D. 2(7 + 4) – 3 = 19- Question:
Solve for x: |x – 1| = 3, where x > 1.
A. 2
B. 3
C. 4
D. 5Correct answer: C. 4
Why C is correct:
The equation |x – 1| = 3 gives two possibilities:x – 1 = 3 or x – 1 = -3
So x = 4 or x = -2.
Because the question says x > 1, the only valid answer is x = 4.Why the others are incorrect:
A. |2 – 1| = 1
B. |3 – 1| = 2
D. |5 – 1| = 4- Question:
Correct answer: B) 7
Explanation:
Rewrite the equation by completing the square.Start with:
x² – 6x + y² + 10y = 15Complete the square for x:
x² – 6x = (x – 3)² – 9Complete the square for y:
y² + 10y = (y + 5)² – 25Substitute:
(x – 3)² – 9 + (y + 5)² – 25 = 15Combine constants:
(x – 3)² + (y + 5)² – 34 = 15Add 34:
(x – 3)² + (y + 5)² = 49Since 49 = 7², the radius is: 7
- Question:
A gym charges a 9 dollar sign-up fee plus 3 dollars per class. If the total cost is 27 dollars, how many classes were taken?
A. 4
B. 5
C. 6
D. 7Correct answer: C. 6
Why C is correct:
Set up the equation:9 + 3x = 27
Subtract 9: 3x = 18
Divide by 3: x = 6Why the others are incorrect:
A. 9 + 3(4) = 21
B. 9 + 3(5) = 24
D. 9 + 3(7) = 30- Question:
Correct answer: B) 4
Explanation:
Since f is linear, first find its rule.Slope:
(16 – 7) / (5 – 2) = 9 / 3 = 3So f(x) = 3x + b
Use f(2) = 7:
3(2) + b = 7
6 + b = 7
b = 1So:
f(x) = 3x + 1Now f⁻¹(13) means the input that gives an output of 13.
Set f(x) = 13:3x + 1 = 13
3x = 12
x = 4So:
f⁻¹(13) = 4 - Question:
A taxi charges 2 dollars to start a ride and 2 dollars per mile. What is the total cost, in dollars, of a 2-mile ride?
A. 6
B. 7
C. 8
D. 9Correct answer: A. 6
Why A is correct:
Start fee = 2
Mileage cost = 2(2) = 4
Total = 2 + 4 = 6Why the others are incorrect:
B. 7 is 1 dollar too high
C. 8 is 2 dollars too high
D. 9 is 3 dollars too high- Question:
Correct answer: C) 20
Explanation:
The student starts with:
18 correct out of 20 totalLet x be the number of additional correct answers.
Then:
(18 + x) / (20 + x) = 0.95Solve:
18 + x = 0.95(20 + x)
18 + x = 19 + 0.95x
0.05x = 1
x = 20So the student must answer 20 more questions correctly.
- Question:
Correct answer: B) 4
Explanation:
At intersection points, the y-values are equal:(x – 1)² = 2x + 5
Expand:
x² – 2x + 1 = 2x + 5Move all terms to one side:
x² – 4x – 4 = 0For a quadratic ax² + bx + c = 0, the sum of the solutions is:
-b / aHere:
a = 1
b = -4So the sum is:
-(-4) / 1 = 4So the sum of the x-coordinates is 4.
- Question:
Solve for x: (x / 2) + 1 = 6.
A. 8
B. 10
C. 12
D. 14Correct answer: B. 10
Why B is correct:
Subtract 1 from both sides: x/2 = 5. Then multiply by 2: x = 10.Why the others are incorrect:
A. 8/2 + 1 = 5
C. 12/2 + 1 = 7
D. 14/2 + 1 = 8- Question:
Correct answer: C) 54 and 12
Explanation:
When every value in a data set is multiplied by the same constant:- the mean is multiplied by that constant
- the standard deviation is also multiplied by that constant
Original mean:
18Original standard deviation:
4Multiply each by 3:
New mean:
18 × 3 = 54New standard deviation:
4 × 3 = 12So the transformed data set has:
mean = 54
standard deviation = 12
- Question:
Solve for x: 2(x + 5) – 4 = 10.
A. 2
B. 6
C. 7
D. 8Correct answer: A. 2
Why A is correct:
Add 4 to both sides: 2(x + 5) = 14.
Divide by 2: x + 5 = 7.
Subtract 5: x = 2.Why the others are incorrect:
B. 2(6 + 5) – 4 = 18
C. 2(7 + 5) – 4 = 20
D. 2(8 + 5) – 4 = 22- Question:
Solve for x: |x – 1| = 3, where x > 1.
A. 2
B. 3
C. 4
D. 5Correct answer: C. 4
Why C is correct:
As before, the equation gives x = 4 or x = -2.
Since x > 1, only x = 4 works.Why the others are incorrect:
A. |2 – 1| = 1
B. |3 – 1| = 2
D. |5 – 1| = 4- Question:
A class charges a 10 dollar registration fee plus 5 dollars per session. If the total cost is 35 dollars, how many sessions were attended?
A. 4
B. 5
C. 6
D. 7Correct answer: B. 5
Why B is correct:
Set up the equation:10 + 5x = 35
Subtract 10: 5x = 25
Divide by 5: x = 5Why the others are incorrect:
A. 10 + 5(4) = 30
C. 10 + 5(6) = 40
D. 10 + 5(7) = 4518. Question:
What is the slope of the line through the points (2, 3) and (4, 11)?
The correct answer is B = 4, and that matches the spreadsheet. But the explanation includes this wrong extra sentence:“Since the answers are written as percentages, 4 corresponds to 400%.”
That line should be removed. The corrected explanation is:
Why B is correct:
Use the slope formula:
m = (11 – 3) / (4 – 2) = 8 / 2 = 4Why the others are incorrect:
A. The slope is not 3
C. The slope is not 5
D. The slope is not 6- Question:
Solve for x: 4x – 5 = 23.
A. 6
B. 7
C. 8
D. 9Correct answer: B. 7
Why B is correct:
Add 5 to both sides: 4x = 28. Then divide by 4: x = 7.Why the others are incorrect:
A. 4(6) – 5 = 19
C. 4(8) – 5 = 27
D. 4(9) – 5 = 31- Question:
Solve for x: 2(x + 2) = 8.
A. 2
B. 4
C. 5
D. 6Correct answer: A. 2
Why A is correct:
Divide both sides by 2: x + 2 = 4. Then subtract 2: x = 2.Why the others are incorrect:
B. 2(4 + 2) = 12
C. 2(5 + 2) = 14
D. 2(6 + 2) = 16- Question:
If 2x + y = 9 and y = 3, what is the value of x?
A. 2
B. 3
C. 4
D. 5Correct answer: B. 3
Why B is correct:
Substitute y = 3 into 2x + y = 9:2x + 3 = 9
2x = 6
x = 3Why the others are incorrect:
A. 2(2) + 3 = 7
C. 2(4) + 3 = 11
D. 2(5) + 3 = 13- Question:
A music app charges 3 dollars to start and 2 dollars per download. What is the total cost, in dollars, of a 1.5-download purchase?
A. 5
B. 6
C. 7
D. 8Correct answer: B. 6
Why B is correct:
Start fee = 3
Download cost = 2(1.5) = 3
Total = 3 + 3 = 6Why the others are incorrect:
A. 5 is too low
C. 7 is too high
D. 8 is too highNext Step:
Log My Score
Return to Math Hub- Question:
- Review
- Answered
- Correct
- Incorrect
- Question 1 of 22
1. Question
CorrectIncorrect - Question 2 of 22
2. Question
CorrectIncorrect - Question 3 of 22
3. Question
CorrectIncorrect - Question 4 of 22
4. Question
CorrectIncorrect - Question 5 of 22
5. Question
CorrectIncorrect - Question 6 of 22
6. Question
CorrectIncorrect - Question 7 of 22
7. Question
CorrectIncorrect - Question 8 of 22
8. Question
CorrectIncorrect - Question 9 of 22
9. Question
CorrectIncorrect - Question 10 of 22
10. Question
CorrectIncorrect - Question 11 of 22
11. Question
CorrectIncorrect - Question 12 of 22
12. Question
CorrectIncorrect - Question 13 of 22
13. Question
CorrectIncorrect - Question 14 of 22
14. Question
CorrectIncorrect - Question 15 of 22
15. Question
CorrectIncorrect - Question 16 of 22
16. Question
CorrectIncorrect - Question 17 of 22
17. Question
CorrectIncorrect - Question 18 of 22
18. Question
CorrectIncorrect - Question 19 of 22
19. Question
CorrectIncorrect - Question 20 of 22
20. Question
CorrectIncorrect - Question 21 of 22
21. Question
CorrectIncorrect - Question 22 of 22
22. Question
CorrectIncorrect