Warm-up Nov. 5

Fill in your participation grade sheet (in the basket). Place it next to the basket when you have completed the sheet. (2 minutes)

Place all of your quizzes, tests, and graded hw into your folder. Place folder on the round table in the back. (2 minutes)

I will collect your notebooks Friday.

HW: Finish quarterly review PowerPoint

Enough Already!

Created for you by Ms. Nhotsoubanh

Aim: To review for your quarterly

• Take 3 sheets of paper and

lay the papers like the

diagram below.

about ½ in

• Fold the papers to

look like the diagram

5 tabs

• Label the front cover and the tabs

Quarterly Review

Print your nameDate: Nov. 5

#s 1 - 4#s 5 - 7

#s 8 - 12#s 13 - 17 #s 18 -

22

#s 1 - 4#s 5 - 8

#s 9 - 12#s 13 - 16 #s 17 -

25

1. 2.

3. 4.

1. Michael is 26 years old and Justin is 12 years old. In how many years will Michael be twice as old as Justin will be then?

Old = 2(young)26 + x = 2(12 + x)26 + x = 24 + 2x -x -x 26 = 24 + x -24 -24 2 = x

Answer: In 2 years.

Present Age

Future Age

Justin 12 12 + x

Michael 26 26 + x

2. The length of a rectangle is 3 inches more than its width. If the length is decreased by 5 and the width is increased by 1 inch, the perimeter of the rectangle is 46 inches. What is the length, in inches, of the original rectangle?

46 = 2(x – 2) + 2(x + 1)46 = 2x – 4 + 2x + 246 = 4x – 2+2 +248 = 4x 4 4x = 12Length = 15 in.

orig.orig.

x + 3

x

new

new

x + 3 – 5

x + 1

3. Madison has $4.70 in nickels and quarters. In all, she has 30 coins in her wallet. Find the number of each kind of coin she has.

5(30 – x) + 25x = 470150 – 5x + 25x = 470 150 + 20x = 470 -150 -150 20x = 320 20 20 x =1616 Quarters 14 Nickels

value amount

Nickels 5 30 – x = 5(30 – x)

Quarters 25 x = 25x

45x = 60(x – 1) 45x = 60x – 60 -60x -60x-15x = -60 -15 -15 x = 4The car will catch up to the truck in 3 hours

4. A truck traveling at a constant rate of 45 miles per hour leaves Inversetown.  One hour later a car traveling at a constant rate of 60 miles per hour also leaves Inversetown traveling in the same direction on the same highway.  How long will it take for the car to catch up to the truck, if both vehicles continue in the same direction on the highway?

R T = D

Truck 45 x = 45x

Car 60 x – 1 = 60(x – 1)

5.

6. The roots of the equation: 2x2 + x 15 are

2x2 + x 15 -15 -15 2x2 + x – 15 = 0 (2x – 5)(x + 3) 02x – 5 = 0 x + 3 = 0 +5 +5 x = -3 2x = 5 2 2x {5/2, -3}

x y

-5-4

-3

-2 -1 0 1

-8 -3 0

1 0

-3 -8

x =

-2

y = -x2 – 4x – 3

8. Solve: 0.6(p – 3) = 0.9p + 1.6 –

0.1p

Answer: 10[0.6(p – 3) = 0.9p + 1.6 – 0.1p] 6(p – 3) = 9p + 16 – 1p 6p – 18 = 8p + 16 -6p -6p -18 = 2p + 16 -16 -16 -34 = 2p 2 2 -17 = p

9. Solve for x in the equation below. 8 + 2(3x + 9) = 6x – 10   

Answer: 8 + 2(3x + 9) = 6x – 10 8 + 6x – 18 = 6x – 10 -10 + 6x = 6x – 10 Identity all real numbers

10. Solve for n:

2(5n + 7) = 3(4n)10n + 14 = 12n-10n -10n 14 = 2n 2 2 n = 7

Cross multiply

A.) 3.5B.) 7C.) -8D.) 10

11. Which is an illustration of the associative property?

A.) ab = ba

B.) a(b + c) = ab + ac

C.) a(bc) = (ab)c

D.) a + 0 = a

12.

Divide the coefficients and subtract the exponents.

Choice 1

13. Solve for x.

(4x – 2) – 2x = 4 –

5(4x – 2) – 30x = 60 – 6x 20x – 10 – 30x = 60 – 6x -10x – 10 = 60 – 6x +10x +10x -10 = 60 + 4x -60 -60 -70 = 4x 4 4 x = 17.5

5 3

1) (3x – 3)(x – 2) 2) (3x + 3)(x – 2) 3) 3(x + 1)(x – 2)4) 3(x – 1)(x – 2)

14. When factored completely, the expression 3x2 – 9x 6 is equivalent to

Factor completely means factor out the gcf 1st then factor the trinomial

A.) 5a C.)  

B.) D.)

15. What is the multiplicative inverse of -5a?

Choice B Multiplicative inverse means the same thing as reciprocal (if the number is not a fraction make it into a fraction and flip it).

16.

Choice 2

17. If 2n represents an even integer, the next consecutive even integer is represented by

D. 2n + 2To get the next consecutive

even integer, you add 2 to the original number

A. 4n

B. n + 2

C.   2n + 1

D. 2n + 2

A. 4n

B. n + 2

C.   2n + 1

D. 2n + 2

1)0 and 92)0 and 9 3)0 and 3 4)0 and 3

18. The roots of the equation: 3x2 – 27x 0 are

3x2 – 27x 0 3x(x – 9) 03x = 0 x – 9 = 0 3 3 x = 9 x = 0x {0, 9}

A.) addition

B.) subtraction

C.) multiplication

D.) division

19. Under which operation is the set of even integers not closed?

Answer: divisionThe quotient is not an even integer.

20.

21.

1) 12) 23) 54) 4

Isolate the radical. Square both sides of the equation to get rid of the radical sign then solve for x.

22.