Ridgeview Middle School

Ridgeview Middle School

Ridgeview Middle School

Summer Math Packet

Algebra

Dear Ridgeview Student and Parent,

The purpose of this packet is to provide a review of objectives that were taught the previous school year and provide tasks related to the common core curriculum. Reviewing the material will help your child retain what he/she has learned this year, and assist them as they enter the next course in the sequence of study.

An answer key can be accessed online our school website. This key can be used in one of the following ways:

  • Have your child check his/her work after each assignment.
  • Check your child’s work after each assignment.
  • Check the entire packet once it is finished.

Whichever way you choose to use the answer key, make sure your child identifies and corrects all mistakes. Please remind your child that CALCULATORS SHOULD NOT BE USED and ALL WORK MUST BE SHOWN for each activity. If work is completed on a separate paper, please submit the paper(s) with the packet.

The completed packet will be due the second Friday of the new school year. This will be recorded as a homework completion grade during the first marking period.

Thank you for your cooperation,

The RMS Math Department

  1. On the grid provided, draw a right triangle with whole number side lengths and a hypotenuse of 10 units. The length of each square is one unit.
  1. A square, with side length s, has an area of 324 square centimeters. This equation shows the area of the square. What is the side length of the square in centimeters?

s2 = 324

s = 18 cm

  1. Six friends are going to buy pizza. Their choices are to buy 2 medium 10-inch diameter pizzas for $7.00 each, or 1 large 14-inch diameter pizza for $15.00. Both include tax and tip.

The friends agree that their best choice is the one that gives them the most pizza for their money.

Which is the best choice? Explain your answer.

Use Area: 2 mediums- 3.5π per dollar, versus 3.26π if you get the large.

  1. Rachel says the sum of a positive number and a negative number always equals a negative number or zero.
  1. Create an example that that supports Rachel’s claim.
  2. Create an example that that shows Rachel’s claim is false.

If the numbers are opposites (one positive, one negative but the same number) when you add them, you get 0. When the negative number has a larger absolute value, Rachel’s claim is also true. But when the negative number has a lower absolute value, Rachel’s’ claim is false.

  1. Draw the image of the figure after the following translations.
  1. A reflection over the x-axis.
  2. A horizontal translation 7 units to the left.

  1. Justin’s car can travel miles with gallons of gas.Justin at 25

Kim’s car can travel miles with gallons of gas.Kim at 31

At these rates, how far can each car travel with one gallon of gas? Graph the number of miles for each car on the number line.

7.

  1. Graph each value appropriately in the correct position on the number line.

at 0.4about .67at .3

  1. Two sides of a right triangle have lengths of and units. There are two possible lengths for the third side.
  1. What is the shortest possible side length, in units?

2

  1. What is the longest possible side length, in units?

4

Dog / No Dog / Total
Cat / 1 / 2 / 3
No Cat / 3 / 4 / 7
Total / 4 / 6 / 10
  1. Segment FG begins at point F(-2, 4) and ends at point G(-2, -3). The segment is translated by <x – 3, y + 2> and then reflected across the y-axis to form segment F’G’.

How long is segment F’G’. 7 units

  1. A sphere and a cone have the same volume. Each figure has a radius of 3 inches. What is the height of the cone?

9 inches

  1. Joe solved this linear system correctly.

6x + 3y = 6

y = -2x + 2

These are the last two steps of his work.

6x – 6x + 6 = 6

6 = 6

Which statement about this linear system must be true? d

  1. x must equal 6
  2. y must equal 6
  3. There is no solution to this system.
  4. There are infinitely many solutions to this system.
  1. Using digits 0-9, write numbers in each of the boxes to complete each equation given the number of solutions.
  1. Kyle was given a problem to solve. The problem and his work are shown.
  1. What part of Kyle’s work contains the mistake?
  2. What part of the problem should Kyle read again to fix his mistake?

Mistake in step 2: .9 (90) = $81 sale price, then 81 x 9 will give you the total bats sale. Goal missed by $7.

Two spaces must be red.

  1. Look at these numbers.

, , ,

Classify the numbers by ALL that apply.

  1. Integer none
  2. Irrationalnone
  3. Rationalall
  4. Realall
  1. Solve all problems and show all work.
  1. b.

t = -7m = 50

c. d.

r = 15/2 x = -39

  1. f.

g = -9/5y = -24

  1. Solve all problems and show all work.

a. b.

x = 3 t = -40

c. d.

x = 60 t = 11

e. f.

r = - 5 y = 0

g. h.

all real numbers y = 1/4

Resource: Smarter Balanced Assessment Consortium

Practice test Grade 8, 2013

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