Math practice for test (not on test)

Representing Area using Algebraic Expressions

100

What is the area of a rectangle that the side lengths are x, 5, and 9?

14x or 9x + 5x 

200

What is the area of the square if the sides of the square is 4x

4x(4) or 16x

300

What is the area of a rectangle if the side lengths are x, 10, and 16

10x + 16x or 26x

400

Wha is the area of a square if the side length is 34x

1156x or 34x²

650

What is the area of a rectangle if the side length are x, 593, and 496

593x + 496x

Combining Like Terms

100

What is 30 - g - g - g?

27g

200

 What is 15g + 5 + 3g + 2g + 3?

20g + 8

300

What is 8 + 5h + h + 17 + 4a + 9h?

4a + 15h + 25

400

What is 3x + 2y + 5x - 3z + 7y + z?

8x + 9y - 2z

650

What is 7q + 5r - 4 + 3s - 3q + 5r - 3?

4q + 10r + 3s - 7

Equivalent Expressions

100

What is an equivalent expression for 5/6(6x + 24) - 3?

5x + 17

200

What is an equivalent expression for 4(x + 2) + 5(3x + 1)?

19x + 13

300

Is 5(6x + 15) equivalent to 30x + 75?

Yes, both expressions are equivlant  

400

What is an equivilant expression for 15 - 3(2x + 4)

-6x + 3

650

12 + 4x is equivilant to what?

4(3 + x)

Fill in the Blank / Description Writing

100

14 - ? = 5 + 2³

                   

1

200

1/2(30 -12) = 5 + ?

4

300

Write a Description for n + 5 = 10

A number plus 5 is 10

400

Write a Description for 1/3x - 2 = 8

2 less than 1/3 of a number is 8

650

Write a Description for 3/4(36) = 3 x 9

3/4 of 36 is the product of 3 and 9

Solutions / Real-World Problems

100

What number fits this equation : x + 7.4 = 10

Numbers that you can use : 2.4 , 2.6 , 3.6 , no number fits 

x = 2.6

200

What number fits this equation : 3/5y = 6/35

Numbers that you can use : 2/7 , 2 , 7/2 , 7 , no number fits 

y = 2/7

300

What number fits this equation : 1/4(2x - 8) = 3

Numbers : 8 , 12 , 16 , nothing fits

nothing fits

400

Let w represent the width of a rectangle in inches. Let l represent the length of the rectangle in inches. The formula P = 2w + 2l represents the perimeter of the rectangle. What is the perimeter of a rectangle that has a width of 8.5 inches and a length of 13 inches.

P = 43 inches

650

Sana and her family go on a road trip. Sana uses the equation s = 250/t , when t > 0 , to determine s , the car's speed in miles per hour when the family drives for t hours. She determines that the car's speed when the family drives for 4 hours is 65 miles per hour. Is Sana correct? If not correct what is the actual miles per hour?

When the family drives for 4 hour the car's speed goes 62.5 miles per hour. She is not correct.