7th Grade State Test Review

Expressions Equations Inequalities

Ratios and Proportions

The Number System

Statistics and Probability

100

Write your answer as the sum of two unlike terms

1/2(20x + 3x - 10) + 6

11.5x + 1 or 23/2x +1

100

A bakery sells boxes of cookies. The table below shows the cost, in dollars, for different numbers of boxes of cookies.

Number of Boxes Cost (dollars)

2. $11.00

5 $27.50

8 $44.00

10 $55.00

What is the cost, per box, of the cookies?

$5.50

100

Solve

0.5/-0.4 + - 0.25 =

- 1.5

100

On standard six-sided die, what is the probability of rolling an even number on the first roll and then rolling a number greater than 4 on the second roll?

3/6 x 2/6 = 6/36 or 1/6

200

40x + 82 = 1050

x = 24.2

200

How do you determine if a table, graph and equation is proportional?

Table: divide y by x and ratios are constant

Graph: starts at origin and line is straight

Equation: written in the form y=kx

200

A pound of beef costs $5.15. A pound of turkey costs $4.85. How much more does 2.75 pounds of beef cost than 2.75 pounds of turkey?

$0.82

200

To determine student preferences for new lunch menu items, which of the following sampling methods would be most effective: surveying every 5th student entering the cafeteria, surveying all students in one randomly selected grade, or allowing students to voluntarily respond to an online survey? Explain why.

Surveying every 5th student entering the cafeteria

option 2: biased

option 3: optional potentially too much or too little data collected

300

A store sells a backpack for p dollars. During a back-to-school sale, the backpack is discounted by 20%. Write two expressions that can be used to find the sale price of the backpack.

The two expressions that represent the sale price are

p−0.20p and 0.80p

300

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A clothing store is having a 30% off sale on all jeans. Sarah finds a pair of jeans with a sale price of $56. She also has to pay a 6% sales tax. What is the total amount of money Sarah saves on the jeans, including tax, compared to the original price of the jeans, including tax?

The total amount Sarah saves is

$25.44

300

Which scenario results in a final value of zero?

A. The total amount of money Brianna has if she earned $25 babysitting and then spent $25 on a new book.
B. The total number of miles a car travels if it drives 10 miles east and then 5 miles south.
C. The total height a ball reaches if it is thrown 15 feet into the air and then falls 5 feet.
D. The total number of students in a class if 15 students are present and 5 students are absent.

SHOW YOUR WORK in 2 different ways

A. The total amount of money Brianna has if she earned $25 babysitting and then spent $25 on a new book.

300

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. If a marble is drawn at random and another marble is drawn, what is the probability that the first marble is red and the second marble is blue?

5/10 x 3/9 = 15/90 or 1/6

400

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A gym charges a monthly membership fee of $30 and an additional $2 per class attended. Write and solve an inequality to find the maximum number of classes, c, a member can attend per month if they want to spend no more than $80.

2c + 30 ≤ 80

- 30. - 30

2c ≤ 50

c ≤ 25

The maximum number of classes, c, a member can attend per month if they want to spend no more than $80 is 25 classes.

400

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A baker uses 3 1/4 cups of flour to make 2 1/2 batches of muffins. If she uses the same amount of flour for each batch, how much flour, in cups, is needed for one batch of muffins?

How much flour is needed for one batch of muffins, divide the total amount of flour by the number of batches.

Total flour: 3 1/4 cups = 13/4 cups
Number of batches: 2 1/2 batches = 5/2 batches
Flour per batch: (13/4) / (5/2) = (13/4) * (2/5) = 13/10 = 1 3/10 cups

Therefore, 1 3/10 cups of flour is needed for one batch of muffins.

400

A bakery sold 80 cupcakes on Saturday. On Sunday, they sold 25% more cupcakes than on Saturday. If each cupcake costs $3.00, what was the total revenue, in dollars, from cupcake sales for both days?

Saturday - 80

Sunday - 0.25 x 80 = 20 + 80 = 100

Saturday and Sunday - 80 + 100 = 180

180 x 3 = 540

$540

400

A spinner is divided into 4 equal sections labeled 1, 2, 3, and 4. If the spinner is spun twice, what is the probability that the first spin lands on an even number and the second spin lands on an odd number?

2/4 x 2/4 = 4/16 or 1/4

500

A landscaper plants 5 rows of flowers. The first 2 rows are equal in length. The third row is 15 feet long, the fourth row is 20 feet long, and the fifth row is 25 feet long. The total length of the 5 rows is 90 feet. What is the length, in feet, of each of the first 2 rows the landscaper plants?

A. 10
B. 15
C. 20
D. 30

B. 15

500

The table shows a proportional relationship between x and y.

x y

8 2

12 3

16 4

20 5

Write an equation that represents this relationship

y = (1/4)x or y = 0.25x

500

On average, ocean temperatures around the world range from -12 degrees Celsius to 49 degrees Celsius. What is the different between the two ocean temperatures?

61 degrees Celsius

500

Wednesday has a coupon for a local bakery. The coupon allows her to select one type of bread, one spread, and one pastry. The options are listed below:

Breads: sourdough, rye, whole wheat
Spreads: butter, jam, honey
Pastries: croissant, muffin, scone

If Wednesday randomly chooses one item from each category, what is the probability that she selects rye bread, jam, and a muffin? Express the answer as a fraction.

The probability of Wednesday selecting rye bread, jam, and a muffin can be calculated as follows:

There are 3 choices for bread, 3 choices for spread, and 3 choices for pastry.

The total number of possible combinations is 3 * 3 * 3 = 27.

There is only 1 way to choose rye bread, jam, and a muffin.

Therefore, the probability of selecting rye bread, jam, and a muffin is 1/27.