Chapter 1 – Symmetry and Surface Area REMEMBER TO SHOW ALL WORK! P.G. 2 -‐ 38
John says to rotate a rectangle 90° you have to move the rectangle ¼ clockwise. Brianna says to rotate a rectangle 90° you have to reflect it horizontally. Who is right? Why?
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Name: ______________ Class: ___________
Chapter 2 – Rational Numbers P.G. 42 -‐ 84 `
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Chapter 3 – Powers and Exponents P.G. 88 -‐ 122
Sunvir says that 52 is the same as 5 x 5. Saad says that 52 is the same as 5 x 2. Who is right? Why? Show your work.
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What does a0 equals to _______. 12.
Chapter 4 – Scale Factors and Similarity P.G. 126 -‐ 164
In the model, every cm equals 12 km in real life. If the distance between two places measures 1 m on the model, what is the distance in real life?
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Chapter 5 – Introduction to Polynomials P.G. 170 -‐ 202
Aaron said that in the monomial 3x2, 3 is the constant. Joanna quickly countered his argument and said that 3 was the co-efficient. Who is right? Why?
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Solve. a) (4x2 + 2x -1) + (8x2 -3x +5) b) (81x2 + 61x0 – 9) – (9 – 15x2)
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Chapter 6 – Linear Relations P.G. 206 -‐ 246
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Chapter 7 – Multiplying & Dividing Polynomials P.G. 250 -‐ 280 `
Harman says that in the equation 6/2(1+2) =? The answer is 9. Asrar says the answer is 1. Who is right? Why? (Remember BEDMAS)
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Chapter 8 – Solving Linear Equations P.G. 288 -‐ 332
Nay-Yar bought 4 bags of peas. When she got home, she noticed one of the bags were punctured and she lost 20 peas. When she poured out all the peas, there were a total of 120. How many peas were suppose to be in the punctured bag?
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Chapter 9 – Linear Inequalities P.G. 336 -‐ 370
Express x > -2 in two different ways.
Amar says that the statement 2x > -10, x > -5. Ripndeep says that x < -5. Who is right? Why?
Tamiza has box of mangos. She knows the box will contain at least 15 mangos, but not more than 23. Write an inequality to express this.
Solve the following inequality. 4x + 20 > 8x + 60, and then graph it on a number line.
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Chapter 10 – Circle Geometry P.G. 374 -‐ 406
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Chapter 11 – Data Analysis P.G. 410 -‐ 446
Lexus and Ghazel decide to take a survey on student’s favourite academic subject. Lexus decides to ask every grade nine female student. Ghazel decides to ask every 3rd student that enters the school. Which survey will be least bias? Why?
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Formulas
Rectangular Prism
SA = 2B + Ph
SA = 2(lw) + (2l + 2w) h
V = lwh
Cube
SA = 2B + Ph
SA = 2(s2) + (4s)s = 6s2
V = Bh
V = s3
Cylinder
SA = 2B + ph
SA = 2(π r2) + (2πr)h
V = Bh
V = π r2h
Pythagorean Theorem a2+b2=c2
Triangle Area = ½b × h
b = base h = vertical height
Rectangle Area = w × h w = width h = height
Square Area = a2
a = length of side
Circle Area = πr2
Circumference=2πr r = radius
Pi(𝜋) Pi = 3.14
Perimeter Length of all sides added together
Solutions to the PAT Review Booklet
Chapter 1 – Symmetry and Surface Area
1. A) 120° B) 72° 2. A) 522.496 cm2 B) Cup B 3. 45°, 90°, 60°,!!, !! 4. John
Chapter 2 – Rational Numbers
1. A 2. D 3. A) 0.6 B) 8 4. A) !!B) !
!5. A) −2 !
! B) − !
!" C) −1 !
!! D) −2 !
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6. A) 16 B) 1.9 C) 35 D) .22 7. A) 11 cm B) 25m C) 0.3mm D) 0.6 Km
Chapter 3 – Powers and Exponents 1. -‐32 2. 54 3. 4.8 4. (-‐5)4 5. $144 6. 3.5 7. 27 8. 86 9. Exponent 4, Power 34, Base 3 10. 25 11. Sunvir. 12. =1
Chapter 4 – Scale Factors and Similarity 1. 12cm 2. (-‐5)8 3. Neither, it is stretched. 4. 8, 0.5, x = 3 5. y = 52° 6. 1240000cm 7. 1200 km apart, or
1200000 m apart
Chapter 5 – Introduction to Polynomials 1. A) –x+3 B) x2 +x -‐2 C) -‐2x2-‐3x +4 D) 2x2-‐5 2. A) (8.50+4) x =T B) 50 +5x=T C) 17.50x +50 3. Joanna 4. A)
12x2 + 5x +4 B) 96x2 +43 Chapter 6 – Linear Relations
1. 7 2. -‐13 3. =4 4. =12 5. A(0,2), B(1,3), C(2,4), D(3,5), E(4,6) 6. 3n -‐1 7. A) Increased by 3 B) 3n -‐1 8. B(4,11), C(6,17), D(8,24)
Chapter 7 – Multiplying and Dividing Polynomials
1. 201 2. No 3. 8x + 12 4. Harman 5. B 6. D 7. -‐18.87xy Chapter 8 – Solving Linear Equations
1. 35 peas in each bag 2. Plane A= 750 km/h and Plane B= 3. Rearrange the equations in terms of x and y 4. B
5. 13 6. 2.7 Chapter 9 – Linear Inequalities
1. 15 ≤ 𝑥 𝑎𝑛𝑑 𝑥 ≤ 23 2. x is greater than -‐2 3. A) 𝒙 ≥ − 𝟏𝟓𝟖 B) 𝑥 < − !
! 4. A) 𝑥 < 2.5 B) 𝟒
𝟑≤ 𝒙
5. 𝑥 > −5 6. −10 > 𝑥 7. No, because if b is 0 and a, c, are negative numbers, this isn’t true. 8. B Chapter 10 – Circle Geometry
1. Angle C is 52° 2. A) 35° B) 3.9 C) 35° 3. 9.3m apart. 4. 5. Angle F is 67° 6. Angle E is 30°. Angle F is 55°. Angle D is 95°
Chapter 11 – Data Analysis
1. They signed out adventure books the most. 66% are considered Adventure or Sports. 2. Ghazal’s survey because it isn’t targeting a specific group. 3. Answers may vary. 4. B 5. Approximately 60 Tennis balls
