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Milestones Review –
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Mary has cup of chocolate chips. A cookie
recipe calls for ½ cup of chocolate chips per
batch.
How many batches can Mary make using all of
her chocolate chips?
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If hot dogs come in packs of 6, and buns come in packs
of 8, what is the least amount of packs of each that
can be purchased to have no leftovers?
How many complete hot dogs would that make?
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There are 40 girls and 32 boys who want to
participate in soccer club. If each team must
have the same number of girls and the same
number of boys, what is the greatest number
of teams that can participate in soccer club?
How many girls and boys will be on each
team?
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Mack’s Market and Gary’s Gardens each sell watermelons by the pound. At
Gary’s Gardens, a 3-pound watermelon costs $1.26. At Mack’s Market, a 5-pound
watermelon costs $2.25.
Part A: What is the cost per pound of a watermelon at Gary’s Gardens?
Part B: Knowing that the unit price remains the same, how much would a 6-pound
watermelon cost at Mack’s Market?
Part C: Kate wants to buy a 12-pound watermelon for the lowest price.
How much would she save by buying the watermelon at Gary’s Gardens?
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1. What is the ratio of the length of a side of an equilateral triangle to
its perimeter?
2. At last Saturday’s ballgame, the concession stand sold 120 hot dogs,
260 hamburgers, 425 bags of chips, and 750 soft drinks. What was the
ratio of hot dogs and hamburgers sold to the number of soft drinks
sold? Give your answer in simplest form.
3. The average car on the highway can go 240 miles in 4 hours. At this
rate, how long would it take to drive 1,200 miles?
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Corner Grocery sells sodas at a price of $4.80 for 12, and Max's Market sells sodas at a
rate of $5.25 for 15. Which store has the best unit rate on sodas, and by how much?
A carpet cleaning company will clean 3 rooms for $71.00. Jim has a coupon for 20%
off the total price. How much will Jim pay after the discount?
In order to buy a house. Jorge had to pay 5% of the total price up front.
If Jorge paid $6,000 up front, how much did his house cost in all?
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1. In a class of 32 students, 75% returned their permission
slips for the school field trip. How many students did NOT
return their permission slips?
2. How many feet are in 15 miles?
1 mile = 5, 280 feet
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Jordan's cookie recipe calls for 3 teaspoons of
vanilla for every 9 teaspoons of sugar.
What is the unit rate, in terms of sugar to vanilla?
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Maddie is a guard on the basketball team. She made
70% of her field goals in the first game. She made 0.62,
¾, and 66% of her goals in the next three games. List
Maddie’s made field goal statistics from least to
greatest.
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Quentin evaluated the expression 3m – 3 ÷ 3 when m = 8.
His steps are shown below.
Evaluate 3m – 3 ÷ 3 when m = 8
Step 1 3(8) - 3 ÷ 3
Step 2 24 - 3 ÷ 3
Step 3 21 ÷ 3
Step 4 7
In which step did Quentin make an error?
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Bob mowed (2x² + 5x + 3) yards on Monday,
(4x + 7) yards on Tuesday, and (3x² - 10) yards on
Wednesday. How many yards did he mow in the three
days?
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Emeril used a total of 7 ¼ cups of flour to make three
pastries. He used 2 ¼ cups of flour for the first and 2 1/3
cups for the second. How much flour did Emeril use for
the third pastry?
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Audra was asked to combine like terms in the
expression 5k + 4 - 2k + 3 + 6k².
She came up with the answer 6k² + 7k + 7.
What was Audra's mistake?
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How is the process of multiplying fractions
different from the process for adding
fractions?
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Phillip rode his bicycle at
miles per hour. If
he rode for ¾ of an hour, how many miles did
he cover? Write your answer in simplest form.
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How is dividing fractions related to
multiplying?
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1. Eric’s Lawn Service charges a flat rate of $10, in addition to $15
per hour worked.
Write an expression to represent how much money they would
charge if they worked n hours?
2. A rectangle has a length of x feet and a width of y feet. Write
an expression to represent the area of this rectangle?
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Mr. Adams had 24 guests at his house for a
party. Each guest brought one item. Onethird of the guests brought drinks. One-fourth
of the guests brought a dessert. The rest of
the guests brought chips. How many guests
brought chips?
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The batting averages of four Atlanta Braves baseball players are shown
in the table. At the end of the 2014 season, which Braves player had
the highest batting average?
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The phrase, “twice the sum of an unknown value, a, and
four,” is represented by which algebraic expressions?
Expression 1 Expression 2 Expression 3
2(a + 4)
2a + 4
2a + 8
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Write an expression to represent the perimeter of this square
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A square has a perimeter of 80x + 4. Which factored
expression represents the perimeter?
A. 25(4x + 1)
B. 2(20x + 2)
C. 4(20x)
D. 4(20x + 1)
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What is the value of x in the following equation?
X + 1/6 = 2/3
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Use the distributive property to simplify:
4(x – 6y)
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Carrie needs to make at least an 85 on
her math test. Write an inequality to
represent this situation?
Let t = test score
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A football team is selling donuts as a fundraiser.
Based on the table, write an equation to represent
how to solve for b, the number of boxes sold?
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Simplify
5t + 7 – 5 + 2t
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Adam is n years old. Mary Beth is 3n + 4 years old.
If Adam is 9 years old, how old is Mary Beth?
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Milestones Review
Look at this inequality.
5y > 14
Which value for y makes the inequality true?
A. 1.5
B. 2
C. 2.8
D. 3
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It costs $60 to reserve a movie theater for a party.
There is also a charge of $3 for each person.
Which expression represents the total cost to reserve
a movie theater for n persons?
A. 60 + 3n
B. 60 − 3n
C. 3 + 60n
D. 3 − 60n
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What is the area of the
quadrilateral?
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Which of these questions is a statistical question?
A. “Where does the current U.S. president live?”
B. “What size coat am I wearing now?”
C. “Did Jack wear sneakers or boots to school today?”
D. “What size shirt do the kids in the school wear?”
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What is the area of
the figure to the
right?
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Harriet has $25 in her savings account. She will add $5 each
week and not take any money out of her account.
Which expression represents the amount of money in her
savings account after x weeks?
A 25x + 5
B 5x + 25
C 25(x + 5)
D 5(x + 25)
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• Calculate the volume of a cube with sides
measuring ½ in.
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• A cube’s side length measures 15 inches. What is
the surface area of the cube?