Test REVIEW 6.1: Inequalities, Equations, and Scaling Shapes

Test REVIEW 6.1: Inequalities, Equations, and Scaling Shapes

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?
  1. The Peterson family budgeted $5,000 for their vacation to Jamaica. Their budget consisted of $2,500 for travelcosts and $200 per day for other expenses. Write an inequality 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.

6.

7.

8.

9.

10.

11.

Determine the inequality that goes with the graph:

12.

13.

14.

  1. Two expressions are shown below.

Expression 1: 0.25x – 12

Expression 2: 18 – 0.55x

What is the value of x so that the two expressions have the same value?

  1. The equation below can be used to represent which of the following situation?

2x + 5 = 3x

A The price of five boxes of applesCThe price of three boxes of apples and

is $5a $5 drink equals the price of two

boxes of apples

B The price of two boxes of apples

and a $5 drink equals the price ofDThe price of two boxes of apples

three boxes of apples.Equals the price of a $5 drink.

  1. Which situation can be represented by the equation

2x + 150 = 5x?

A Melany has 5 stamps and buys 150

stamps each week. Ezequiel has no

stamps and buys 2 stamps each

week. When will Ezequiel have

more stamps than Melany?

B Melany has 2 stamps and buys 150

stamps each week. Ezequiel has no

stamps and buys 5 stamps each

week. When will they have the same

number of stamps?

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

Solve the equation:

  1. 5(d + 2) = 3(d – 6)20.15 – (4z + 3) = 12 + z
  1. -2x + 2 = 3(4 + x)22.3m + 12 = -m – (m + 13)
  1. What equation does the model show?
  1. Draw the image of the figure after the dilation of a scale factor of 4.

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? ______

Describe the change in the perimeter after the dilation.______

Describe the change in the area after the dilation. ______

  1. 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)

C (5x, 5y)

D (x + 5, y + 5)

  1. The following square is dilated by a scale factor of to create a new square.

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

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