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Here are two parts of practice questions:
PART 1 : HARD PRACTICE MCQS
EST2–HS Math 1 Practice Questions (Hard Level)
20 Multiple Choice Questions (MCQs)
Question 1
Solve:
4x - 7 = 3x + 12
A) 5
B) 12
C) 17
D) 19
E) 21
✅ Correct Answer: C) 19
Question 2
Simplify:
3(2x - 5) + 4x
A) 6x - 15
B) 10x - 15
C) 10x + 15
D) 7x - 5
E) 12x - 20
✅ Correct Answer: B) 10x - 15
Question 3
Solve:
x² - 25 = 0
A) x = 5 only
B) x = -5 only
C) x = ±5
D) x = 25
E) x = 0
✅ Correct Answer: C) x = ±5
Question 4
A line passes through the points (2,5) and (6,13). What is its slope?
A) 1
B) 2
C) 3
D) 4
E) 8
✅ Correct Answer: B) 2
Question 5
Which equation represents a line parallel to:
y = 3x + 7
A) y = -3x + 2
B) y = 3x - 5
C) y = 1/3x + 4
D) y = -1/3x + 7
E) y = 7x + 3
✅ Correct Answer: B) y = 3x - 5
Question 6
Find the value of:
(5² × 5³)
A) 5⁵
B) 10⁵
C) 25⁶
D) 5⁶
E) 25⁵
✅ Correct Answer: A) 5⁵
Question 7
Simplify:
√50
A) 5√2
B) 10√5
C) 2√25
D) 25√2
E) 50√2
✅ Correct Answer: A) 5√2
Question 8
If:
f(x)=x²-4x+3
Find:
f(5)
A) 5
B) 6
C) 7
D) 8
E) 9
✅ Correct Answer: C) 8
Question 9
The solution set of:
2x + 5 > 15
is:
A) x > 10
B) x > 5
C) x < 5
D) x < 10
E) x = 5
✅ Correct Answer: B) x > 5
Question 10
A rectangle has an area of 72 cm². If its length is 9 cm, what is its width?
A) 6 cm
B) 7 cm
C) 8 cm
D) 9 cm
E) 12 cm
✅ Correct Answer: A) 8 cm
Question 11
Factor:
x² + 7x + 12
A) (x+2)(x+6)
B) (x+3)(x+4)
C) (x-3)(x-4)
D) (x+1)(x+12)
E) (x+5)(x+2)
✅ Correct Answer: B) (x+3)(x+4)
Question 12
A triangle has sides 6 cm, 8 cm, and 10 cm. This triangle is:
A) Equilateral
B) Isosceles
C) Right triangle
D) Obtuse triangle
E) Impossible triangle
✅ Correct Answer: C) Right triangle
Question 13
Find the mean of:
12, 15, 18, 21, 24
A) 16
B) 17
C) 18
D) 19
E) 20
✅ Correct Answer: C) 18
Question 14
If:
3x + 2 = 20
What is x?
A) 4
B) 5
C) 6
D) 7
E) 8
✅ Correct Answer: B) 6
Question 15
A bag contains 5 red balls, 3 blue balls, and 2 green balls. What is the probability of selecting a blue ball?
A) 1/5
B) 2/5
C) 3/10
D) 1/2
E) 3/5
✅ Correct Answer: C) 3/10
Question 16
What is the equation of a line with slope -2 and y-intercept 5?
A) y = 2x + 5
B) y = -2x + 5
C) y = 5x - 2
D) y = -5x + 2
E) y = 2x - 5
✅ Correct Answer: B) y = -2x + 5
Question 17
Simplify:
(x³y²)(x²y⁴)
A) x⁵y⁶
B) x⁶y⁸
C) x⁵y⁸
D) x⁶y⁶
E) xy⁶
✅ Correct Answer: A) x⁵y⁶
Question 18
A circle has diameter 14 cm. What is its circumference?
A) 7π
B) 14π
C) 28π
D) 49π
E) 196π
✅ Correct Answer: B) 14π
Question 19
Solve:
|x - 3| = 7
A) x = 10 only
B) x = -4 only
C) x = 10 or x = -4
D) x = 3 or x = 7
E) x = 4 or x = -10
✅ Correct Answer: C) x = 10 or x = -4
Question 20
A system of equations is:
x + y = 10
x - y = 4
What is the value of x?
A) 3
B) 5
C) 7
D) 8
E) 14
✅ Correct Answer: C) 7
Topics Covered:
✅ Advanced Algebra
✅ Linear Equations
✅ Functions
✅ Quadratic Expressions
✅ Inequalities
✅ Geometry
✅ Probability
✅ Statistics
✅ Coordinate Geometry
✅ Exponents and Radicals
EST2–HS Math 1 | Hard Practice Set
PART 2 : VERY SIMPLE PRACTICE MCQS
EST2–HS Math 1 Practice Questions (MCQs)
Question 1
Solve:
3x+5=20
A) 3
B) 5
C) 7
D) 10
E) 15
✅ Correct Answer: B) 5
Question 2
What is the value of:
2^3+4
A) 8
B) 10
C) 12
D) 14
E) 16
✅ Correct Answer: C) 12
Question 3
Simplify:
5x+3x
A) 8
B) 8x
C) 15x
D) 5x³
E) x+8
✅ Correct Answer: B) 8x
Question 4
Find the slope of the line:
y=4x+7
A) 4
B) 7
C) -4
D) 1
E) 11
✅ Correct Answer: A) 4
Question 5
Solve:
Square root of 49
A) 5
B) 6
C) 7 only
D) 7 or -7
E) 49
✅ Correct Answer: D) 7 or -7
Question 6
What is the value of:
3/4+1/4
A) 1/2
B) 1
C) 2/4
D) 3/8
E) 4/8
✅ Correct Answer: B) 1
Question 7
A rectangle has length 8 cm and width 5 cm. What is its area?
A) 13 cm²
B) 26 cm²
C) 40 cm²
D) 80 cm²
E) 20 cm²
✅ Correct Answer: C) 40 cm²
Question 8
Simplify:
(2x)(3x)
A) 5x
B) 6x
C) 6x²
D) 5x²
E) 6
✅ Correct Answer: C) 6x²
Question 9
Find the value of:
|-8|
A) -8
B) 0
C) 8
D) 16
E) 1
✅ Correct Answer: C) 8
Question 10
Which equation represents a line with slope 2 and y-intercept 3?
A) (y=3x+2)
B) (y=2x+3)
C) (y=x+5)
D) (y=2+3x)
E) (y=3x-2)
✅ Correct Answer: B) (y=2x+3)
Question 11
Solve:
[2x=18]
A) 6
B) 7
C) 8
D) 9
E) 10
✅ Correct Answer: D) 9
Question 12
What is the value of:
[sqrt{81}]
A) 7
B) 8
C) 9
D) 10
E) 11
✅ Correct Answer: C) 9
Question 13
If (f(x)=2x+1), find (f(4)).
A) 6
B) 8
C) 9
D) 10
E) 12
✅ Correct Answer: C) 9
Question 14
What is the mean of:
[4,6,8,10]
A) 5
B) 6
C) 7
D) 8
E) 9
✅ Correct Answer: C) 7
Question 15
Factor:
[x^2+5x]
A) x(x+5)
B) x(x-5)
C) (x+5)(x+5)
D) x²+5
E) 5x
✅ Correct Answer: A) x(x+5)
Question 16
A triangle has base 10 cm and height 6 cm. Find its area.
A) 16 cm²
B) 30 cm²
C) 60 cm²
D) 20 cm²
E) 40 cm²
✅ Correct Answer: B) 30 cm²
Question 17
Solve:
[x-7=12]
A) 5
B) 12
C) 17
D) 19
E) 21
✅ Correct Answer: C) 19
Question 18
Which number is irrational?
A) 1/2
B) 0.5
C) √2
D) 4
E) 10
✅ Correct Answer: C) √2
Question 19
Find the perimeter of a square with side length 6 cm.
A) 12 cm
B) 18 cm
C) 24 cm
D) 36 cm
E) 42 cm
✅ Correct Answer: C) 24 cm
Question 20
Simplify:
[3(x+4)]
A) 3x+4
B) 3x+12
C) x+12
D) 7x
E) 12x
✅ Correct Answer: B) 3x+12
📚 EST 2 - HS Math 1
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