Algebra 1 Pre-Comp Review Packet Algebra 1 Pre-Comp Information
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1 Name: Algebra 1 Pre-Comp Review Packet If you can do everything in this packet, then you will do wonderfully on the pre-comp. Each day in class we will take a mini quiz. For each question you get incorrect, try the corresponding questions in this packet. 3. You will get out of this what you put into it. Use your time in class and at home wisely. 4. ASK FOR HELP! ASK FOR HELP! ASK FOR HELP! Algebra 1 Pre-Comp Information - Friday, February 3, Lessons Common Portion: o 5 multiple choice questions o 45 minutes - Local Portion: o 4 formulas (1 point each) o 14 free response questions (4 points each) Partial credit! Show your work! o 30 minutes
2 Day #1 Do Now A. Evaluate u + v(u + v) w if u = 1, v = 3, and w = B. Solve: x 4(x ) = 9 (5x + 5) C. Solve the system by substitution: 6x + y = 33 { 7x + 3y = 6
3 Algebra 1 Pre-Comp Extra Practice #1 - Signed Numbers & Solving Equations Question 1 - Lesson 13 Simplify:. 6( 5 + 1) 6( 3 8) ( 45 5) + 4 Question - Lesson 16 Evaluate: 3. e[( c d) ( e d )] if e = 7, c = 1 and d = b[ a( a b )] if a = 3 and b = 4. [A] 17 [B] 3 [C] 3 [D] 1
4 Algebra 1 Pre-Comp Extra Practice #1 - Signed Numbers & Solving Equations Question 3 - Lesson 19 Evaluate: 5. s + t( s + t) u u= 1 if s=, t=, and 6. ( 3 b c )( c b)( b) if b=1 and c= Question 4 - Lesson 5 Solve: x = x 5 6 = 1 4
5 Algebra 1 Pre-Comp Extra Practice #1 - Signed Numbers & Solving Equations Question 5 - Lesson 6 Solve: 10. x 1+ 5x + 3 = 1+ x + 3x 4 9. x 5 + 5x + = 1 x + 4x Question 6 - Lesson 7 Solve: m m = x 1. = 1.5
6 Algebra 1 Pre-Comp Extra Practice #1 - Signed Numbers & Solving Equations Question 7 - Lesson 31 Solve: 15. ( x 4) 3( x ) = 13. 5z ( z + 5) = 5z x ( x 3) = 8 ( 3x + 4) ( h) ( 3)( h 4) = ( 3h 4)
7 Algebra 1 Pre-Comp Extra Practice #1 - Signed Numbers & Solving Equations Question 8 - Lesson Solve the system by the substitution method. x = y + 5 x + y = Solve the system by the substitution method. x = 6y + 7 9x + y = 10 Question 9 - Lesson Solve the system by substitution: 6x + y = 44 7x 8y = Solve the system by substitution: 3x + y = 10 x + y = 8
8 Algebra 1 Pre-Comp Extra Practice #1 - Signed Numbers & Solving Equations [1] 514 [] 90 [3] 56 [4] [D] [5] 5 [6] 14 [7] 13 9 [8] 5 9 [9] 5 [10] 1 [11] x = 0.5 [1] 3 [13] 3 [15] 8 [14] 1 [16] [17] ( 11, 8) [18] ( 11, 3) [19] ( 6, 8) [0] (, 4)
9 Day # Do Now A. Find the surface area of this right triangular prism. Dimensions are in inches. B. Find the volume of this right circular cylinder. Dimensions are in meters.
10 Algebra 1 Formulas and Facts Unit Equivalences 1 ft = in 1 mi = ft 1 yd = ft 1 m = cm 1 in = cm 1 km = m Geometry Formulas Area of a Rectangle Area of a Triangle Circumference of a Circle Circumference of a Semicircle Area of a Circle Area of a Semicircle Surface Area of a Right Solid Volume of a Right Solid Algebraic Facts a(b + c) = x 0 =
11 Algebra 1 Pre-Comp Extra Practice # - Geometry Question - Lesson 3 1. Find the perimeter of the figure. All angles are right angles. Dimensions are in feet.. Find the perimeter of the figure. All angles are right angles. Dimensions are in feet Question 3 - Lesson 3 3. Find the perimeter of the figure. Dimensions are in meters. 4. Find the perimeter of the figure. Dimensions are in centimeters
12 Algebra 1 Pre-Comp Extra Practice # - Geometry Question 4 - Lesson 8 5. Find the area of the shaded portion of the figure. Dimensions are in centimeters. 7. Find the area of the figure. Dimensions are in inches Find the area of the figure. Dimensions are in meters. 8. Find the area of the shaded portion of the figure. Dimensions are in feet
13 Algebra 1 Pre-Comp Extra Practice # - Geometry Question 5 - Lesson Find the surface area of this right triangular prism. Dimensions are in centimeters. 10. A base of a right solid whose height is 13 centimeters is shown. Find the surface area of the solid. Dimensions are in centimeters Question 6 - Lesson A base of a right solid whose height is 19 centimeters is shown. Find the volume of the solid. Dimensions are in centimeters. 1. Find the volume of the right circular cylinder. Dimensions are in inches
14 Algebra 1 Pre-Comp Extra Practice # - Geometry Question 7 - Lesson 51 Graph: 14. y = x y = x + 4 Question 8 - Lesson 51 Graph: 16. y = 15. x = 3
15 Algebra 1 Pre-Comp Extra Practice # - Geometry [1] 6 feet [] 160 feet [3] ( π ) meters [4] ( 6 + 6π ) centimeters [5] 40 cm [7] ( π ) in. [6] ( π ) m [8] ( π ) ft [9] 600 cm [10] 1580 cm [11] 57 cm 3 [1] 44 π in y 10 y x x [13] 10 [14] y 10 y 10 10x 10 10x [15] 10 [16] 10
16 Day #3 Do Now A. Factor the greatest common factor of 30x 6 y 5 z 35x 9 y z 4 B. Divide 6y 48y 6y C. Expand by using the distributive property: x 3 z 3 (9y x 3x3 y )
17 Algebra 1 Pre-Comp Extra Practice #3 - Algebraic Expressions Part 1 Question 1 - Lesson 1 Simplify: y x z y x x zz c acca c a bb Question - Lesson 1 Simplify: 4. y nx 4 4nx 4 y + 3ny x 4 + 6x 4 y n 3. 7ma b 7m + a bm 8bma
18 Algebra 1 Pre-Comp Extra Practice #3 - Algebraic Expressions Part 1 Question 3 - Lesson 7 5. Expand by using the distributive 3 property: c d( cd + 5c d) 6. Expand by using the distributive property: rs( rs 3r s) Question 4 - Lesson 9 7. Expand by using the distributive property: 4x y ( x y 3x y ) 8. Expand by using the distributive property: p q ( p q 3 p q )
19 Algebra 1 Pre-Comp Extra Practice #3 - Algebraic Expressions Part 1 Question 5 - Lesson 9 9. Simplify: ( 5) Evaluate: s( t s )( t s) if s = 4 and t = 1 Question 6 - Lesson Factor the greatest common factor of q r s + 8q r s + 14q rs. 1. Factor the greatest common factor of 5x 4 y 6 z 15x 7 y z 5.
20 Algebra 1 Pre-Comp Extra Practice #3 - Algebraic Expressions Part 1 Question 7 - Lesson Divide: 5 a 15 a 5a 14. Simplify (factor if necessary): x y + 1x y 3 3x y Question 8 - Lesson Expand by using the distributive property: x 3 F 4y 6xI 3 z x y HG KJ 16. Expand by using the distributive property: x 3 F 4y xi 3 z x y HG KJ
21 Algebra 1 Pre-Comp Extra Practice #3 - Algebraic Expressions Part 1 Question 9 - Lesson Simplify. Write the answer with all positive exponents. x x 4 y 3 z 3 1 z z y 19. Simplify. Write the answer with all positive exponents. xx 3 y 5 z z z y 18. Simplify. Write the answer with all variables in the numerator. x x y z z z y Simplify. Write the answer with all variables in the numerator. x x y z z z y
22 Algebra 1 Pre-Comp Extra Practice #3 - Algebraic Expressions Part [1] a b c [] x y z [3] a bm 7m [4] 6x 4 y n [5] c d + 5c d [6] r s 3r s [7] 8x y + 1x y [8] 4 p q 6p q [9] 1 [10] [11] q rs( 5qr s + 4q r + 7s ) [1] 5x y z ( 5y 3x z ) 4 8 [13] 1 3a [14] 3x y + 7xy [15] 4y 6x 3 z y z 4 3 [16] 4xy 3 z 4 x y z [17] x y [18] y [19] x y 7 [0] x y z
23 Day #4 Do Now A. Simplify. Write the answer with all exponents positive. ( 3x p 5 y 3 ) ( y5 p 4 5 x 4 ) B. Add 8y+8x 6y+3x 4x y 4 4x y 4 3 C. Add: 4 a+b b Hint: Remember to distribute in the numerator and add like terms!
24 Algebra 1 Pre-Comp Extra Practice #4 - Algebraic Expressions Part Question 1 - Lesson Simplify by adding like terms. Write the answer with all exponents positive x y z 4x yz 5x y z x y z xy y z z. Simplify by adding like terms. Write the answer with all variables in the numerator x y n x y n x y n 5x y n n n xy n y n Question - Lesson 44 Add: 8y + 8x 5y 4x x y 5x y 4. y + 4x 3y + x x y 4x y
25 Algebra 1 Pre-Comp Extra Practice #4 - Algebraic Expressions Part Question 3 - Lesson 44 Add: 5. p s q + + r 5 s t 6. 4w y z 5 zy + x yz Question 4 - Lesson Add. Write the answer in descending order of the variable. 3 3 ( 5x 5x 5) ( 9x x ) 8. Add: ( 5x x 4) + ( 5x + 4x + 4) [A] x [B] 10x 6x [C] 10x + x 8 [D] 6x 8
26 Algebra 1 Pre-Comp Extra Practice #4 - Algebraic Expressions Part Question 5 - Lesson 49 Multiply: 10. ( x +4)( x x + 3) 9. (5x + 8)(4x 3) Question 6 - Lesson 5 Add: w 3 x + w x x 1. 3 f g g + h 5
27 Algebra 1 Pre-Comp Extra Practice #4 - Algebraic Expressions Part Question 7 - Lesson Simplify. Write the answer with all variables in the denominator. F HG x y 3 3z I KJ 3 F HG x z 4y I KJ 14. Simplify. Write the answer with all exponents positive. F HG x p y 3 I KJ F HG 3 3 y p x I KJ Question 8 - Lesson 55 Simplify: 1 f + g h 16. g r s r + g
28 Algebra 1 Pre-Comp Extra Practice #4 - Algebraic Expressions Part Question 9 - Lesson Add. Write the answer with all exponents positive. x y + 9z Add. Write the answer with all 1 3 exponents positive. x y z + wy z 18. Add. Write the answer with all exponents positive. x y + 7z 3 0. Add. Write the answer with all exponents positive. x yz + wy z 3
29 Algebra 1 Pre-Comp Extra Practice #4 - Algebraic Expressions Part [1] 7x y z + 3x y z [] 8x y n + 4x y n [3] 1x + 13y 5x 5 y 3 [4] 3x + y 4x 5 y 5 [5] ps t + q + rs t 5 s t 4 5 [6] 4w 5yz+ xy y z 3 [7] 14x 1x 10 [8] [A] 3 [9] 0x + 17x 4 [10] x + 3x x + 1 [11] 5x + 5w wx 3x 3wx 3 x + wx [1] 3 3 fg + 3 fh + 5g + 5g + 5g h 3 g + g h [13] 7 x y z [14] 8 x 4y p 1 10 [15] h f + g [16] gr g rs + [17] x z + 9y yz [18] y z +7x 3 x z 3 [19] y z + xwy z x 3 [0] y+ wx y z 3 x y
30 Day #5 Do Now A. The ratio of bipeds to quadrupeds was 3 to. If there were 1070 in all, how many were quadrupeds? B. Graph 3 x < 6
31 Algebra 1 Pre-Comp Extra Practice #5 - Word Problems & Inequalities Question 1 - Lesson of what number is 16?. 3 4 of what number is 1 3? Question - Lessons 3 and Tina and Jon found that times the sum of a number and 3 equals 36. What is the number? 4. If the product of a number and 3 is reduced by 3, the result is 18 less than twice the opposite of the number. What is the number?
32 Algebra 1 Pre-Comp Extra Practice #5 - Word Problems & Inequalities Question 3 - Lessons 38 and The ratio of rascals to good guys was 16 to 17. If there were 187 good guys, how many rascals were there? 6. The ratio of rats to mice was 19 to 14. If there were 6501 in all, how many were mice? Question 4 - Lesson 5 7. The average of the first 5 numbers was 31. The average of the next 10 numbers was 37. What was the overall average of the numbers? 8. The average of the first 5 numbers was 5. The average of the next 6 numbers was 34. The average of the last 9 numbers was 39. What was the overall average of the numbers?
33 Algebra 1 Pre-Comp Extra Practice #5 - Word Problems & Inequalities Question 5 - Lesson Draw a number line and graph the solution to x < Draw a number line and graph the solution to x. Question 6 - Lesson Graph: 4 < x 3 1. Write a conjunction that describes this graph
34 Algebra 1 Pre-Comp Extra Practice #5 - Word Problems & Inequalities [1] [] 8 33 [3] 15 [4] 15 [5] 176 [6] 758 [7] 35 [8] 34 [9] [10] [11] [1] 3 < x 6
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