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Algebraic

Expressions

Algebraic

Equations

Number

Sense

Coordinate

Grids

Potpourri

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- The length of one side of the square to the left is ‘s’ inches. Of the following expressions, this is the one that could be used to find the perimeter of the square.
- 2s
- 4 + s
- 2 + s
- 4s

s

What is

D. 4s?

Explanation: To find the perimeter you could also use the expression s + s + s + s, which means the same as

4 times s or 4s.

- The rectangle to the left has the dimensions shown. This expression could be used to find the area of the rectangle
- a x b
- a + b
- a + a + b + b
- 2a + 2b

a

b

What is

A. a x b?

Explanation: One way to find the area of a rectangle is to multiply the length and width.

- Bill is ‘x’ years old. His brother is 6 years older than Bill is. This expression is how old Bill’s brother is.
- 6x
- x + 6
- x – 6
- x ÷ 6

What is

B. x + 6?

Judy likes to walk around her block. It takes her 12 minutes to walk around her block one time. This expression could be written to find how long it takes her to walk around her block ‘b’ times.

What is

12b?

(or 12 x b)

The perimeter of the square to the left is p inches. This expression could be used to find the length of one side of the square.

What is

p ÷ 4?

- This equation could be used to tell the relationship between x and y in the table above:
- A . x + 1 = y
- 6x = y
- x + 5 = y
- x + 2 = y

What is

C. x + 5 = y?

- Empire School bought new computers and printers. The computers and printers together cost $1600. The printers cost $350. If the cost of the computers is ‘c’ dollars, this equation could be used to find the cost of the computers.
- 350 – c = 1600
- 350 + 1600 = c
- 350 + c = 1600
- 350 ÷ c = 1600

What is

C. 350 + c = 1600?

- Joan bought 5 cans of pop which cost a total of $10. If ‘p’ represents the cost of one can of pop, this equation could be used the find the cost of one can.
- 5 + p = 10
- 5 – p = 10
- 10 – 5 = p
- 10 ÷ 5 = p

What is

D. 10 ÷ 5 = p?

A cheese pizza costs $7. Each topping has an additional cost. This table shows the cost of a cheese pizza with additional toppings.

Number of

Toppings (n)

Total Cost

of the Pizza (c)

- This equation below represents the situation.
- c = n + 2
- c = n + 8
- c = (2 + n) + 7
- c = 2n + 7

What is

D. c = 2n + 7?

- This equation below shows the relationship between x and y in the table above.
- x + 8 = y
- 3x - 4 = y
- 2x + 3 = y
- x + 13 = y

What is

C. 2x + 3 = y?

Tom recorded the number of miles he rode his bicycle each week in the table as shown.

This statement below describes how the number of miles he rode changed each week.

- As the number of weeks increases, the number of miles he rode increases.
- As the number of weeks increases, the number of miles he rode decreases.
- As the number of weeks increases, the number of miles he rode stays the same.
- As the number of weeks increases, the number of miles he rode increases and decreases.

What is

A. As the number of weeks increases, the number of miles he rode increases?

Tommy planted a vegetable garden. He planted 1 row of carrots, 2 rows of beans, 4 rows of lettuce and 1 row of cucumbers. This is the percentage of rows that were beans.

What is

25%?

Shannon bought 2 ¾ yards of orange fabric and 1 ½ yards of brown fabric to make a present for her friend. This is the total amount of yards of fabric she bought.

What is

4 ¼ yards of fabric?

Keri counted the number of pages in a book and told her friend that there were 5 x 102 pages. This is the number of pages in the book.

What is

500 pages?

Bob and Joe both like to bike ride. Joe always bikes farther than Bob. Last week, they kept track of how many miles each of them biked each day and put the information in the chart above. After the week was over, this is how many times further Joe biked than Bob.

What is

3 times further?

The distance between each number on the grid pictured to the left is 1 centimeter. This is the area of the blue figure on the grid.

What is

12 square centimeters?

The blue dot on the grid is at the point (10, 50). This is the coordinate of the red dot.

What is

(40, 20)?

The yellow dot on the grid is at point (6, 15) . This is the coordinate of the green dot.

What is the

(15, 6)?

Mark was drawing a rectangle on a the grid piece of paper to the left. He put the 3 dots on the paper that are shown. This is where he should put the fourth dot so he can connect the dots to make his rectangle.

What is

(1, 2)

This is the perimeter of the rectangle pictured on the grid.

= 1 sq. cm.

What is

18 centimeters?

3

2

x

- Of the choices below, this is the only possible decimal value for point x:
- 2.009
- 2.217
- 2.582
- 2.954

What is

B. 2.217?

Input

Output

- This rule describes the input-output function.
- double the input, and add 1
- add 1 to each input number
- add 2 to each input number
- divide the input by 2 and add 4

What is

D. Divide the input by 2 and add 4?

Day

Temperature (C)

This is the mean of the low temperatures

What is

5 degrees Celsius?

Colleen has 3 orange marbles, 5 brown marbles and 4 white marbles. This is the percentage of marbles that are orange.

What is

25%?

Explanation: 3 out of 12 marbles are orange. If you reduce the fractions 3/12 to lowest terms, you will get ¼ which is 25%.

The width of the rectangle below is 2 ¾ inches. The length of the rectangle is 3 ½ inches. This is the perimeter of the rectangle.

What is

12 ½ inches?