Name: Date: Period' MPJH

Test REVIEW 6.1" Inequalities, Equations, and Scaling Shapes

1. Ana has a budget of $25 to spend on flowers. A package of flowers costs $1.99, and a

hanging basket of flowers costs $5.10. Both prices include tax. Write the inequality that

can be used to determine p, the number of packages of flowers she can buy if she also

buys a hanging basket of flowers? ,.ÿ" ÿ//,ÿ. Iÿ)i-19cÿ'p

olqÿ .2. The Peterson family budgeted $5,00 for their vacation to Jamaica. Their budgetconsisted of $2,500 for travelcosts and $200 per day for other expenses. Write aninequality that represents the number of days, x, the Peterson's can stay on vacation?

Solve each inequality and graph the solution on the number line provided.

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8. 4x.ÿ _< 19

ff_x s, _qoct d

" I I I I i I l I I I I 1. ...... ÿ; ÿ-ÿ--"ÿ :"

-7-6-5--4-3-2 lÿ 2 3 4 5 6 7

N

, i , , i , Ii s l , , , , ÿ , %

-7-6-5--4-3-2"ÿ10 1.2 3 4 5 6 7

-ÿ , . :ÿ_-- : - : :-- -.---....imÿK...ÿ.d , , f

-7-6-5-ÿ-3ÿ-1 0 t 2 3 4 ÿ 6 7

Determine the inequality that goes with the graph:

% lY =

[23 67-7-615-4-3-2-1 0

12. I I I 11 I I I ......... I I I I I I I I I-12-11-10 -9 -8 -7 -6 -5 ÿ-3 -) -10 1 2 3ÿ4 5 6 7 8 9 10 11 12

x -q13. I I I I.II I I I I I I I I I I I I I I I I O+--t--F

-12-11-10-9-8-7-8-5-4-3-2-1 0 1 2 3 4 5 6 7 8 9 10 11 12

14. I I I I I I I I I I I I OII I I r I ÿ I I I I I-12-11-10-9 -8 -7 -6 -5 -4 -3 -2 .1 0 1 2 3 4 5 6 7 8 9 101112

X (b15. Two expressions are shown below.

-ID - I% -,5S xExpression 1: 0.25x

Expression 2:18 - 0.55x -I_ÿ

What is the value ofx so that the two expressions have the same value?

_

16.The equation below can be used to represent which of the f0I10wing-situ-aÿon?

2x + 5 = 3x

A The price of five boxes of apples Cis $5

*ÿ--ÿ'Byhe price of two boxes of apples

-Jand a $5 drink equals the price ofthree boxes of apples.

D

The price of three boxes of apples anda $5 drink equals the price of twoboxes of apples

The price of two boxes of applesEquals the price of a $5 drink.

17.Which situation can be represented by the equation

2x+ 150 = 5x?

A

B

Melany has 5 stamps and buys 150stamps each week. Ezequiel has no

stamps and buys 2 stamps eachweek. When will Ezequiel havemore stamps than Melany?

Melany has 2 stamps and buys 150stamps each week. Ezequiel has no

stamps and buys 5 stamps eachweek. When will they have the samenumber of stamps?

C Melany has 150 stamps and buys 5stamps each week. Ezequiel has nostamps and buys 2 stamps eachweek. When wiÿE Ezequieÿ have morestamps than Nelany?

DÿPga-ny has 150 stamps and b,ÿy,s 2stamps each week, Ezequiel has ÿnostamps and buys 5 stamps eadÿweek, When will they have the samenumber of stamps?

18. Ally and Maria are each opening a savings account. Ally opens her account with $50 andadds $5 a week. Maria opens her account with $15 and adds $12 a week. In how manyweeks will Ally and Maria have the same amount of money in their savings account?

Solve the equation'

_5C:, .ÿ.ve iÿ* --ÿ -5u3

'%Cÿ :-- i.ÿ +-iLc-I 15

19. 5(d + 2) = 3(d- 6) --7 20.

-fÿ ,ÿ

21. -2x + 2 = 3(4 + x) 22.

L

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23. What equation--dÿes the model show?

24. Draw the image of the figure after the dilation of a scale factor of 4.

10 ....

L

LI[:ÿII[IiILhL$1&I:i ]iI i[

...... rÿ'r!

What is the perimeter of the original figure?

What is the perimeter of the new figure?

What is the area of the original figure?

What is the area of the new figure?

,S?c

Describe thechangeintheperimeterafterthedilation. /-ÿ ",ÿÿ.ÿ ÿ"ÿIGÿ'("

Describe the change in the area after the dilation, i b hÿ(ÿCL'ÿ ",ÿ'ÿ(ÿU"ÿ-Lÿ-.... C_ÿ _J

25. The figure below will be dilated by a scale factor of 5 from the center of dilation.

What is the algebraic rule that will reflect the new coordinates of the figure?

A (x- 5, y- 5)

B (-5x,-5y)

, 5y)

D (x+ 5, y + 5)

26. to create a new square.The following square is dilated by a scale factor ofÿ

-2 -1

,

,2.

£ c 20

What is the measure of the side length of the new square?

off