1. Write the equation of a line in point-slope from that passes through (2, 5) and (5, 11).
y− 5 = 2 (x− 2)
m= = =−2
y− 11 = − 2 (x− 2)
m= = =0
y− 5 = −2 (x− 2)
Two wrongs and a right
5−11 5−2
11−5 5−2
6 3
−6 3
5−11 5−2
−6 3

2. y ≥ x2 + 3
Two wrongs and a right

3. Solve the multi-step equation:
4(–x – 2) – 5 = 13
–4x + 8 – 5 = 13
–4x + 3 = 13
–4x = 10
x = – = – 5 2
–4x – 8 – 5 = 13
–4x – 13 = 13
–4x = 0
x = 0
–4x = 26
x = – = – 13 2
Two wrongs and a right 4 2 4 2

4. Solve the absolute value inequality:
x + 5 < 15
–15 < x + 5 < 15
–20 > x > 10
–20 < x < 10
–20 < x < 20
Two wrongs and a right

5. Find the slope of the line that passes through (–2, 5) and (–2, 1).
m= = 4 −4 =−1
Find the slope of the line that passes through (–2, 5) and (–2, 1).
m= = 4 0
Slope is undefined
m= = 0 4 =0
Two wrongs and a right
5−1 −2−2
4 −4
5−1 −2− −2
4 0
−2 − −2 5−2
0 4

6. Given f(x) = 5x – 2, find the value of x when f(x) = 8.
f(8) = 5(8) – 2
f(8) = 38
f = 4.75
Given f(x) = 5x – 2, find the value of x when f(x) = 8.
8 = 5x – 2
10 = 5x
2 = x
Two wrongs and a right

7. (x – 3)2 – 5 = 11
(x – 3)2 = 16
x – 3 = 4
x = 7
x – 3 = ±4
x = 3 ± 4
x = 7 or x = –1
(x – 3)2 = 6
x – 3 = ±6
x = 3 ± 6
x = 9 or x = –3
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8. Simplify the expression:
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9. y3x −2 y4x3
y3y4 x2x3
y12 x6
y7 x5
y7 x1
1 x1y7
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10. −3−4 + −6+1
−7 + −5
7 + 5 12
7 + 7 14
−1 + −5
1 + 5 6
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11. x2 – 5x + 6 = 2
(x – 3)(x – 2) = 2
x – 3 = 2 or x – 2 = 2
x = 5 or x = 4
x2 – 5x + 4 = 0
(x + 4)(x + 1) = 0
x + 4 = 0 or x + 1 = 0
x = –4 or x = –1
(x – 4)(x – 1) = 0
x – 4 = 0 or x – 1 = 0
x = 4 or x = 1
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12. x 2 + x 3 =6 3x + 2x = 36 5x = 36 x = 36 5 3x + 2x = 6 5x = 6 x = 6 5
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x 2
x 3
x 2
x 3
36 5 36 6
6 5
x 2
x 3
3x 6
2x 6
5x 6 5
36 36

13. Parabola with vertex (2, –3)
Two wrongs and a right

14. Line with slope – 2 3
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2 3
2 3
2 3

15. Line graphed is  to y = 3x + 1
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16. Graph of
y = 2 (x – 3)2 – 5
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17. Graph of y = x
Two wrongs and a right 5 5 5

18. Points B and D are tangent to the circle.
2x2 + 2x = 7x + 12
2x2 – 5x – 12 = 0
(2x + 3)(x – 4) = 0
2x = –3 or x = 4
x = −3 2 or x = 4
x = 4
(2x – 3)(x + 4) = 0
2x = 3 or x = –4
x = 3 2
Two wrongs and a right

19. SU is the diameter of the circle. Find the m ST .
m TU = 2(61) = 122
m ST = 122
m ST = 180 – 122 = 58
Two wrongs and a right

20. Two wrongs and a right Solve for x. 2x + 30 = 5x – 36 66 = 3x x = 227 7

21. Find the area of the trapezoid.
A = 330 m2
A = ( ) 10
A = 250 m2
A = ( ) ( )
A = 550 m2
Two wrongs and a right 2 2 2

22. Find the volume of the cylinder.
Two wrongs and a right

23. Angles A and B are supplementary. m∠A=36; find m∠B.
36 + m∠B = 90
m∠B=54
36 + m∠B = 180
m∠B=144
36 + m∠B = 360
m∠B=324
Two wrongs and a right

24. Two wrongs and a right Find the Cos K Cos K = 5 12 Cos K = 12 13

25. Two wrongs and a right Find the mMBD. 180 – (56 + 78) 180 – 134 46
Triangle MBD is isosceles, and thus, mMBD = mMDB = 62.
mAMC = 180 − ( )
mAMC = 46
mAMC = mDMB = 46
mMDB = 180 − ( )
mMDB = 180 − (108)
mMDB = 72
Two wrongs and a right

26. Two wrongs and a right The rectangle has area = 432 and has 12
congruent squares. What is the perimeter?
Let the side of one of the
small squares = x. Thus
(4x) (3x) = 432
12x2 = 432
x2 = 36
x = 6
Perimeter = 6 × 4 = 24
Perimeter = 6 × 14 = 84
The rectangle has area = 432 and has 12 congruent squares. What is the perimeter?
It is NOT possible to find
the perimeter.
Two wrongs and a right

27. Two wrongs and a right ABC is a right triangle. AM  BC. mABC = 55.
Find mMAC.
mABC + mACM + 90° = 180°
mACM = 180 – 90 – 55 = 35°
mMAC + mACM + 90 = 180°
mMAC = 180 − 90 − mACM
= 180 − 90 − 55 = 35°
mACM = 180 – 90 – 55 = 45°
= 180 − 90 − 45 = 45°
= 180 − 90 − 35 = 55°
Two wrongs and a right

28. Parallelogram WXYZ is mapped to its image WXYZ by a reflection
across the x-axis.
Two wrongs and a right

29. The following triangles are
congruent by ASA.
Two wrongs and a right

30. In ABC, AC  AC. Find the length ( y ) of BC.
22 14 = y+15 y
22y = 14(y + 15)
22y = 14y + 210
8y = 210
y = 26.25
14 30 = y y+15
30y = 14(y + 15)
30y = 14y + 210
16y = 210
y =
In ABC, AC  AC. Find the length ( y ) of BC.
22 14 = 15 y
22y = 210
y = 9.54
Two wrongs and a right