1
Factor: x^2 − 15x + 36
Medium
A
(x + 3)(x + 12)
B
(x + 3)(x - 12)
C
(x - 3)(x - 12)
D
(x - 3)(x + 12)
Explanation x^2 − 15x + 36 factors as the product of (x − r) for each root: (x - 3)(x - 12).
2
Solve for x: -11 < 4x + 9 < 13
Medium
A
-5 < x < 0
B
-6 < x < 2
C
-4 < x < 1
D
-5 < x < 1
Explanation Subtracting 9 from all parts: -20 < 4x < 4. Dividing by 4: -5 < x < 1.
3
What is the slope of the line through (-13, 9) and (-23, -4)?
Medium
A
10/13
B
-13/10
C
13/10
D
23/10
Explanation Slope = (y2 − y1)/(x2 − x1) = (-4 − 9)/(-23 − -13) = -13/-10 = 13/10.
4
A cinema sells adult tickets for Rs. 24 and child tickets for Rs. 9. If 67 tickets were sold for a total of Rs. 1338, how many adult tickets were sold?
Medium
A
46
B
50
C
53
D
49
Explanation Let a = adult tickets, c = child tickets. a + c = 67 and 24a + 9c = 1338. Solving gives a = 49, c = 18.
5
An employee's salary starts at Rs. 68358 and increases by Rs. 1648 each year. What will the salary be after 15 years?
Medium
A
93154
B
92989
C
93157
D
93078
Explanation Salary after 15 years = 68358 + 15 × 1648 = Rs. 93078.
6
If f(x) = 3x^2 − 7x + 14, what is f(8)?
Medium
A
146
B
163
C
155
D
150
Explanation f(8) = 3(8)^2 + (-7)(8) + (14) = 150.
7
Solve for x: x/6 + 10 = 15
Medium
A
37
B
30
C
24
D
23
Explanation x/6 = 15 − (10) = 5, so x = 6 × 5 = 30.
8
Solve for x: -6x − 11 > -107
Medium
A
x < 17
B
x < 16
C
x > 16
D
x < 15
Explanation Dividing both sides by the negative coefficient -6 reverses the inequality sign, giving x < 16.
9
A line has slope -7/4 and another line has slope 4/7. Are the lines parallel, perpendicular, or neither?
Medium
A
Neither
B
Parallel
C
Cannot be determined
D
Perpendicular
Explanation Two lines are parallel if their slopes are equal, and perpendicular if their slopes multiply to −1. Here, -7/4 and 4/7 are perpendicular.
10
What is the slope of the line through (0, -9) and (-1, -22)?
Medium
A
14
B
13
C
1/13
D
-13
Explanation Slope = (y2 − y1)/(x2 − x1) = (-22 − -9)/(-1 − 0) = -13/-1 = 13.
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11
What is the slope of the line through (-18, -5) and (-19, 11)?
Medium
A
-16
B
16
C
-1/16
D
-15
Explanation Slope = (y2 − y1)/(x2 − x1) = (11 − -5)/(-19 − -18) = 16/-1 = -16.
12
If f(x) = -6x − 25, what is f(9)?
Medium
A
-83
B
-81
C
-79
D
-74
Explanation f(9) = (-6)(9) − 25 = -79.
13
In an arithmetic sequence, the 7th term is 9 and the 21st term is 65. What is the 24th term?
Medium
A
77
B
74
C
83
D
71
Explanation d = (65 − 9)/(21−7) = 4. Then the 24th term = 9 + (24−7)(4) = 77.
14
A geometric sequence has first term -5 and common ratio -3. What is the 3rd term?
Medium
A
-45
B
-41
C
-37
D
-39
Explanation aₙ = a₁ × r^(n−1) = -5 × (-3)^2 = -45.
15
What is the axis of symmetry of the parabola y = x^2 + 5?
Medium
A
x = -1
B
x = 2
C
x = 0
D
x = 1
Explanation The axis of symmetry is x = −b/(2a) = −(0)/(2×1) = 0.
16
What is the minimum value of y = 5x^2 − 150x − 26?
Medium
A
-1151
B
-1249
C
-1112
D
-1085
Explanation Since a = 5 is positive, the parabola opens upward and has a minimum at its vertex, where y = -1151.
17
If -4x + 3y = -47 and 9x + 8y = 268, what is x + y?
Medium
A
37
B
38
C
27
D
31
Explanation Solving the system gives x = 20 and y = 11, so x + y = 31.
18
If f(x) = 7x + 15 and g(x) = f(x − 11) + 3, what is g(-2)?
Medium
A
-73
B
-65
C
-70
D
-66
Explanation g(-2) = f(-13) + 3 = -76 + 3 = -73.
19
What is the slope of the line through (12, -3) and (8, 15)?
Medium
A
-2/9
B
9/2
C
-7/2
D
-9/2
Explanation Slope = (y2 − y1)/(x2 − x1) = (15 − -3)/(8 − 12) = 18/-4 = -9/2.
20
What is the vertex of the parabola y = -3x^2 − 66x − 28?
Medium
A
(-10, 335)
B
(11, 335)
C
(-11, 335)
D
(-11, 336)
Explanation The vertex x-coordinate is −b/(2a) = −(-66)/(2×-3) = -11. Substituting gives y = 335, so the vertex is (-11, 335).
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21
A population of 650 grows by 20% each year. What will the population be after 2 years?
Medium
A
897
B
925
C
944
D
936
Explanation Population after 2 years = 650 × (1 + 20/100)^2 = 936.
22
Factor: 100x^2 − 50x
Medium
A
x(100x − 50)
B
10x(10x + 5)
C
10(10x − 5)
D
10x(10x − 5)
Explanation The GCF of 100 and -50 (besides x) is 10, and factoring it out (along with one x) gives 10x(10x − 5).
23
Does the parabola y = -6x^2 − 24x + 21 open upward or downward?
Medium
A
Cannot be determined
B
Downward
C
It is a straight line
D
Upward
Explanation Since a = -6 is negative, the parabola opens downward.
24
Factor: x^2 − 121
Medium
A
(x + 11)(x + 11)
B
(x - 11)(x + 11)
C
(x - 11)(x - 11)
D
(x - 10)(x + 12)
Explanation x^2 − 121 = x^2 − 11^2 = (x − 11)(x + 11), using the difference-of-squares identity.
25
Which equation has roots -9 and 13?
Medium
A
x^2 − 4x − 117 = 0
B
x^2 + 4x − 117 = 0
C
x^2 − 4x + 117 = 0
D
x^2 − 2x − 117 = 0
Explanation Sum of roots = 4, product of roots = -117, giving x^2 − (4)x + (-117) = 0, i.e. x^2 − 4x − 117 = 0.
26
What is the nature of the roots of 5x^2 − 12x = 0?
Medium
A
Two distinct real roots
B
One repeated real root
C
No real roots
D
Cannot be determined
Explanation The discriminant is b^2 − 4ac = (-12)^2 − 4(5)(0) = 144, which is positive, so the equation has two distinct real roots.
27
A geometric sequence has first term 6 and common ratio 4. What is the 3rd term?
Medium
A
96
B
95
C
91
D
94
Explanation aₙ = a₁ × r^(n−1) = 6 × (4)^2 = 96.
28
Solve the system for x: 6x + 8y = -34, 8x + 7y = -27
Medium
A
1
B
5
C
4
Explanation Solving the system by elimination or substitution gives x = 1 (and y = -5).
29
What is the nature of the roots of x^2 + 3x + 9 = 0?
Medium
A
Cannot be determined
B
No real roots
C
One repeated real root
D
Two distinct real roots
Explanation The discriminant is b^2 − 4ac = (3)^2 − 4(1)(9) = -27, which is negative, so the equation has no real roots.
30
What is the value of -2x + 1 when x = 7?
Medium
A
-8
B
-15
C
-13
D
-9
Explanation -2(7) + 1 = -14 + 1 = -13.
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31
Solve for x: x/-1 + 11 = 1
Medium
A
10
B
9
C
11
D
8
Explanation x/-1 = 1 − (11) = -10, so x = -1 × -10 = 10.
32
What is the value of 13x − 6 when x = 6?
Medium
A
67
B
68
C
69
D
72
Explanation 13(6) − 6 = 78 − 6 = 72.
33
What is the axis of symmetry of the parabola y = -5x^2 − 10x − 15?
Medium
A
x = -2
B
x = 0
C
x = -1
D
x = 1
Explanation The axis of symmetry is x = −b/(2a) = −(-10)/(2×-5) = -1.
34
Solve for x: 10x − 9 = -6x + 311
Medium
A
18
B
23
C
20
D
19
Explanation Moving variable terms to one side: (10−-6)x = 311−(-9), so x = (320)/(16) = 20.
35
Solve for x: x/3 + x/2 = -20
Medium
A
-24
B
-29
C
-30
D
-23
Explanation Combining terms: x(1/3 + 1/2) = -20, so x × (5)/6 = -20, giving x = -24.
36
What is the sum of the first 7 terms of a geometric sequence with first term 2 and common ratio -3?
Medium
A
1117
B
1114
C
1133
D
1094
Explanation Sum = a₁(rⁿ − 1)/(r − 1) = 2((-3)^7 − 1)/(-3 − 1) = 1094.
37
A geometric sequence has first term 2 and common ratio 2. What is the 6th term?
Medium
A
58
B
64
C
57
D
59
Explanation aₙ = a₁ × r^(n−1) = 2 × (2)^5 = 64.
38
If f(x) = 6x − 19, what is f(-5) − f(2)?
Medium
A
-38
B
-43
C
-42
D
-48
Explanation f(-5) = -49 and f(2) = -7, so f(-5) − f(2) = -42.
39
Solve for x: -4x + 0 = -7x + 75
Medium
A
25
B
24
C
29
D
21
Explanation Moving variable terms to one side: (-4−-7)x = 75−(0), so x = (75)/(3) = 25.
40
How many solutions does the equation 2x + -7 = 2x + 1 have?
Medium
A
Exactly two solutions
B
Exactly one solution
C
No solution
D
Infinitely many solutions
Explanation The x-terms cancel leaving a false statement (since -7 ≠ 1), so there is no solution.
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41
What is the value of -8x + 4 when x = 14?
Medium
A
-109
B
-99
C
-121
D
-108
Explanation -8(14) + 4 = -112 + 4 = -108.
42
What are the solutions to 5x^2 + 40x − 240 = 0?
Medium
A
x = -12 or x = 4
B
x = -11 or x = 4
C
x = -13 or x = 5
D
x = 12 or x = -4
Explanation Using the quadratic formula with a=5, b=40, c=-240, the discriminant is a perfect square, giving x = -12 or x = 4.
43
What is the vertex of the parabola y = -x^2 − 24?
Medium
A
(2, -24)
B
(0, -24)
C
(0, -23)
D
(1, -24)
Explanation The vertex x-coordinate is −b/(2a) = −(0)/(2×-1) = 0. Substituting gives y = -24, so the vertex is (0, -24).
44
Factor: x^2 − 14x + 13
Medium
A
(x + 1)(x + 13)
B
(x - 1)(x - 13)
C
(x - 1)(x + 13)
D
(x + 1)(x - 13)
Explanation x^2 − 14x + 13 factors as the product of (x − r) for each root: (x - 1)(x - 13).
45
Solve for x: -6(x − 5) = 90
Medium
A
-9
B
-14
C
-12
D
-10
Explanation Dividing both sides by -6: x − 5 = -15, so x = -10.
46
If f(x) = 3x − 8, what is f(-12)?
Medium
A
-39
B
-38
C
-44
D
-46
Explanation f(-12) = (3)(-12) − 8 = -44.
47
What is the discriminant of x^2 + 7x − 17 = 0?
Medium
A
120
B
117
C
111
D
131
Explanation Discriminant = b^2 − 4ac = (7)^2 − 4(1)(-17) = 49 − -68 = 117.
48
How many solutions does the equation 3x + 7 = 3x + 7 have?
Medium
A
Exactly one solution
B
No solution
C
Infinitely many solutions
D
Exactly two solutions
Explanation Both sides are identical for every x, so every value of x works — infinitely many solutions.
49
What is the axis of symmetry of the parabola y = x^2 + 12x + 29?
Medium
A
x = 6
B
x = -5
C
x = -7
D
x = -6
Explanation The axis of symmetry is x = −b/(2a) = −(12)/(2×1) = -6.
50
What is the y-intercept of the line 10x + 5y = 55?
Medium
A
11
B
13
C
10
D
14
Explanation Set x = 0: 5y = 55, so y = 55/5 = 11.
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51
What is the product of the roots of x^2 + 15x − 13 = 0?
Medium
A
-11
B
-13
C
-16
D
-12
Explanation By Vieta's formulas, the product of the roots equals c/a = -13/1 = -13.
52
If f(x) = 5x − 13 and g(x) = f(x − 10) + 10, what is g(-14)?
Medium
A
-118
B
-123
C
-135
D
-131
Explanation g(-14) = f(-24) + 10 = -133 + 10 = -123.
53
If f(x) = 8x − 7, what is f⁻¹(-127)?
Medium
A
-17
B
-15
C
-19
D
-12
Explanation f⁻¹(-127) is the x-value such that f(x) = -127: 8x − 7 = -127, so x = -15.
54
Factor: x^2 + 2x − 8
Medium
A
(x - 2)(x + 4)
B
(x + 2)(x + 4)
C
(x + 2)(x - 4)
D
(x - 2)(x - 4)
Explanation x^2 + 2x − 8 factors as the product of (x − r) for each root: (x - 2)(x + 4).
55
Solve for x: x/8 + x/11 = -95
Medium
A
-415
B
-417
C
-431
D
-440
Explanation Combining terms: x(1/8 + 1/11) = -95, so x × (19)/88 = -95, giving x = -440.
56
What is the value of -15x − 5 when x = -3?
Medium
A
37
B
40
C
39
D
45
Explanation -15(-3) − 5 = 45 − 5 = 40.
57
Solve the system for y: x + 2y = 33, -x + 4y = 33
Medium
A
8
B
11
C
13
D
7
Explanation Solving the system by elimination or substitution gives y = 11 (and x = 11).
58
What is the axis of symmetry of the parabola y = 6x^2 − 24x − 12?
Medium
A
x = 2
B
x = 1
C
x = 3
D
x = -2
Explanation The axis of symmetry is x = −b/(2a) = −(-24)/(2×6) = 2.
59
If f(x) = 7x − 5 and g(x) = f(x + 9) − 11, what is g(2)?
Medium
A
68
B
57
C
59
D
61
Explanation g(2) = f(11) − 11 = 72 − 11 = 61.
60
What is the sum to infinity of a geometric sequence with first term 1 and common ratio -3/4?
Medium
A
4/7
B
7/4
C
11/7
D
-3/7
Explanation Sum to infinity = a₁/(1 − r) = 1/(1 − (-3)/4) = 4/7.
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61
If f(x) = 3x − 4 and g(x) = 2x + 4, what is g(f(-3))?
Medium
A
-28
B
-18
C
-22
D
-23
Explanation f(-3) = -13, so g(f(-3)) = g(-13) = 2(-13) + 4 = -22.
62
Solve the inequality: x^2 + 22x + 57 > 0
Medium
A
-19 < x < -3
B
x < -20 or x > -2
C
-18 < x < -4
D
x < -19 or x > -3
Explanation x^2 + 22x + 57 = (x + 19)(x + 3), with roots -19 and -3. Since the parabola opens upward, the expression is positive outside the roots, giving x < -19 or x > -3.
63
Is x^2 − 30x + 231 a perfect square trinomial?
Medium
A
Yes
B
Only if x is positive
C
No
D
Cannot be determined
Explanation A trinomial x^2 + bx + c is a perfect square exactly when c = (b/2)^2. Here (b/2)^2 = (-15)^2 = 225, which does not match c = 231, so it is not a perfect square trinomial.
64
If f(x) = 6x − 8 and g(x) = f(x − 5) + 2, what is g(9)?
Medium
A
18
B
13
C
20
D
12
Explanation g(9) = f(4) + 2 = 16 + 2 = 18.
65
What is the nature of the roots of 6x^2 − 7x − 18 = 0?
Medium
A
One repeated real root
B
Two distinct real roots
C
No real roots
D
Cannot be determined
Explanation The discriminant is b^2 − 4ac = (-7)^2 − 4(6)(-18) = 481, which is positive, so the equation has two distinct real roots.
66
If f(x) = 8x − 4, for what value of x does f(x) = -148?
Medium
A
-20
B
-14
C
-19
D
-18
Explanation 8x − 4 = -148, so x = -18.
67
Which equation has roots -10 and -15?
Medium
A
x^2 + 27x + 150 = 0
B
x^2 + 25x + 150 = 0
C
x^2 − 25x + 150 = 0
D
x^2 + 25x − 150 = 0
Explanation Sum of roots = -25, product of roots = 150, giving x^2 − (-25)x + (150) = 0, i.e. x^2 + 25x + 150 = 0.
68
What is the sum of the first 12 terms of an arithmetic sequence with first term 14 and common difference 6?
Medium
A
566
B
564
C
591
D
526
Explanation The 12th term is 80. Sum = n(a₁ + aₙ)/2 = 12(14 + 80)/2 = 564.
69
In an arithmetic sequence, the 6th term is -7 and the 12th term is -49. What is the 4th term?
Medium
A
8
B
5
C
12
D
7
Explanation d = (-49 − (-7))/(12−6) = -7. Then the 4th term = -7 + (4−6)(-7) = 7.
70
Solve for x: -33 < 4x + 19 < 27
Medium
A
-13 < x < 2
B
-12 < x < 2
C
-14 < x < 3
D
-13 < x < 1
Explanation Subtracting 19 from all parts: -52 < 4x < 8. Dividing by 4: -13 < x < 2.
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71
What is the nature of the roots of 6x^2 − 17x − 3 = 0?
Medium
A
One repeated real root
B
Two distinct real roots
C
No real roots
D
Cannot be determined
Explanation The discriminant is b^2 − 4ac = (-17)^2 − 4(6)(-3) = 361, which is positive, so the equation has two distinct real roots.
72
What is the vertex of the parabola y = -x^2 − 30x + 23?
Medium
A
(-14, 248)
B
(-15, 249)
C
(-15, 248)
D
(15, 248)
Explanation The vertex x-coordinate is −b/(2a) = −(-30)/(2×-1) = -15. Substituting gives y = 248, so the vertex is (-15, 248).
73
If f(x) = -12x + 4, what is f(3) − f(7)?
Medium
A
48
B
54
C
46
D
52
Explanation f(3) = -32 and f(7) = -80, so f(3) − f(7) = 48.
74
Does the parabola y = 7x^2 − 13x − 24 open upward or downward?
Medium
A
Downward
B
Upward
C
It is a straight line
D
Cannot be determined
Explanation Since a = 7 is positive, the parabola opens upward.
75
Is the sequence -10, -8, -6, -4, ... arithmetic, geometric, or neither?
Medium
A
Arithmetic
B
Geometric
C
Neither
D
Cannot be determined
Explanation Each term differs from the previous by a constant amount, so this sequence is arithmetic.
76
A sequence is defined by a₁ = -1 and aₙ = aₙ₋₁ − 2 for n > 1. What is a4?
Medium
A
-11
B
-9
C
-4
D
-7
Explanation Each term adds -2 to the previous one, so a4 = a₁ + (4−1)(-2) = -7.
77
What is the minimum value of y = 4x^2 − 120x − 13?
Medium
A
-902
B
-966
C
-876
D
-913
Explanation Since a = 4 is positive, the parabola opens upward and has a minimum at its vertex, where y = -913.
78
What is the slope of the line through (-3, -19) and (-7, -38)?
Medium
A
4/19
B
-19/4
C
19/4
D
23/4
Explanation Slope = (y2 − y1)/(x2 − x1) = (-38 − -19)/(-7 − -3) = -19/-4 = 19/4.
79
Factor: 70x^2 + 90x
Medium
A
10x(7x + 9)
B
x(70x + 90)
C
10(7x + 9)
D
10x(7x − 9)
Explanation The GCF of 70 and 90 (besides x) is 10, and factoring it out (along with one x) gives 10x(7x + 9).
80
Solve the system for x: -6x + 7y = 232, 6x − 2y = -152
Medium
A
-17
B
-20
C
-23
D
-16
Explanation Solving the system by elimination or substitution gives x = -20 (and y = 16).
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81
Factor: x^2 − x − 30
Medium
A
(x + 5)(x - 6)
B
(x - 5)(x - 6)
C
(x - 5)(x + 6)
D
(x + 5)(x + 6)
Explanation x^2 − x − 30 factors as the product of (x − r) for each root: (x + 5)(x - 6).
82
If f(x) = -7x + 6 and g(x) = 8x + 6, what is g(f(-8))?
Medium
A
486
B
502
C
504
D
479
Explanation f(-8) = 62, so g(f(-8)) = g(62) = 8(62) + 6 = 502.
83
Solve for x: 2x + 3 = 8x + 81
Medium
A
-13
B
-9
C
-15
D
-10
Explanation Moving variable terms to one side: (2−8)x = 81−(3), so x = (78)/(-6) = -13.
84
Factor: x^2 − 7x − 60
Medium
A
(x + 5)(x + 12)
B
(x - 5)(x + 12)
C
(x - 5)(x - 12)
D
(x + 5)(x - 12)
Explanation x^2 − 7x − 60 factors as the product of (x − r) for each root: (x + 5)(x - 12).
85
Complete the square: x^2 − 6x + 7 = (x + h)^2 + k. What are the values of h and k?
Medium
A
h = -3, k = -2
B
h = 3, k = -2
C
h = -2, k = -2
D
h = -3, k = -1
Explanation x^2 − 6x + 7 = (x − 3)^2 − 2, since -6 = 2×-3 and 7 − 9 = -2.
86
If f(x) = 8x − 1 and g(x) = f(x − 10) + 5, what is g(-1)?
Medium
A
-83
B
-76
C
-82
D
-84
Explanation g(-1) = f(-11) + 5 = -89 + 5 = -84.
87
Solve for x: 10x + 4 > 74
Medium
A
x > 6
B
x > 8
C
x > 7
D
x < 7
Explanation 10x > 74 − (4) = 70, so x > 7.
88
Solve the system for y: 6x − 7y = -200, -2x − 2y = 6
Medium
A
15
B
18
C
14
D
10
Explanation Solving the system by elimination or substitution gives y = 14 (and x = -17).
89
If f(x) = -5x^2 + 4x + 15, what is f(8)?
Medium
A
-273
B
-290
C
-285
D
-291
Explanation f(8) = -5(8)^2 + (4)(8) + (15) = -273.
90
What is the value of 4x^2 − 7x + 24 when x = -8?
Medium
A
333
B
336
C
356
D
337
Explanation 4(-8)^2 + (-7)(-8) + (24) = (256) + (56) + (24) = 336.
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91
A jar contains only Rs. 5 and Rs. 10 coins. There are 38 coins with a total value of Rs. 280. How many Rs. 10 coins are there?
Medium
A
21
B
17
C
18
D
16
Explanation Let x = Rs.5 coins, y = Rs.10 coins. x + y = 38 and 5x + 10y = 280. Solving gives x = 20, y = 18.
92
Solve the inequality: x^2 − 18x − 19 > 0
Medium
A
x < -1 or x > 19
B
0 < x < 18
C
-1 < x < 19
D
x < -2 or x > 20
Explanation x^2 − 18x − 19 = (x + 1)(x - 19), with roots -1 and 19. Since the parabola opens upward, the expression is positive outside the roots, giving x < -1 or x > 19.
93
In an arithmetic sequence, the 6th term is -110 and the 11th term is -175. What is the common difference?
Medium
A
-13
B
-17
C
-12
D
-7
Explanation d = (aⱼ − aᵢ)/(j−i) = (-175 − (-110))/(11−6) = -13.
94
What is the sum of the roots of 2x^2 − 36x − 16 = 0?
Medium
A
18
B
20
C
21
D
22
Explanation By Vieta's formulas, the sum of the roots equals −b/a = −(-36)/2 = 18.
95
What is the y-intercept of the line 13x + 3y = 30?
Medium
A
10
B
12
C
14
D
8
Explanation Set x = 0: 3y = 30, so y = 30/3 = 10.
96
Given 7x + 11y = 22, what is y when x = -77?
Medium
A
42
B
40
C
39
D
51
Explanation 11y = 22 − 7(-77) = 22 − -539 = 561, so y = 561/11 = 51.
97
If 6x + 4y = 194 and 8x + 4y = 232, what is x + y?
Medium
A
32
B
46
C
47
D
39
Explanation Solving the system gives x = 19 and y = 20, so x + y = 39.
98
A cinema sells adult tickets for Rs. 5 and child tickets for Rs. 2. If 67 tickets were sold for a total of Rs. 260, how many adult tickets were sold?
Medium
A
43
B
35
C
36
D
42
Explanation Let a = adult tickets, c = child tickets. a + c = 67 and 5a + 2c = 260. Solving gives a = 42, c = 25.
99
A line has slope -6/5 and passes through (-15, -2). What is its y-intercept?
Medium
A
-18
B
-19
C
-20
D
-21
Explanation Using y = mx + b: -2 = (-6/5)(-15) + b, so b = -2 − 18 = -20.
100
A line has slope 7/6 and passes through (36, 6). What is its y-intercept?
Medium
A
-35
B
-36
C
-28
D
-31
Explanation Using y = mx + b: 6 = (7/6)(36) + b, so b = 6 − 42 = -36.