Topic Review 4 7th grade

Written Expression

100

Write an expression that represents the weigh of an object that weigh 12 pounds and increase by 0.5 pounds per months m.

What is 12 + 0.5m ?

200

Write an expression can be used to determine the total weight of b baseball that weigh 5.25 oz. each and s softball that weigh 6.5 ounces each.

What is 5.25b + 6.5s?

300

Water evaporates at a rate of 1.5 ounces per day from a container that holds 34 ounces when full. Write an expression that represents the amount of water remaining in the container after d days?

What is 34 - 1.5d ?

400

A freight train traveling at a rate of 22.5 miles per hour is 60 miles from its destination. How far from the destination will the train be? in 2.5 hours?

What is 3.75 mi.?

500

An elevator began at an elevation of 85.5 feet and ascended at a rate of 2.75 feet per second. What was the elevation of the elevator after 8 seconds?

What is 107.5 ft?

Generate Equivalent Expressions

100

8(y - 7) 

Write an equivalent expression.

What is 8y - 56?

200

-2x + 7

Write an equivalent expression.

What is 7 - 2x?

300

3/5x + 2/5 + 3/5x

Write an equivalent expression.

What is 6/5x + 2/5 or 1 1/5x + 2/5?

400

 

5(3/2r -8)

Write an equivalent expression.

What is 

15/2r-40?

500

1/2(-1.4m+0.4)

Write an equivalent expression.

What is 

-0.7m+0.2?

Simplify Expressions

100

-2.6c -2.8c

Simplify the expression.

What is -5.4c ?

200

3/5y + (-6/5y)

Simplify the expression.

What is 

-3/5y?

300

-2x+(-4)+8+(-3v)

Simplify the expression.

What is 

-5v+4?

400

3/14x+(-1)+(-4)-2/7x

Simplify the expression.

What is 

500

2.8-4.4n-2n+7

Simplify the expression.

What is 

-6.4n+9.8?

Factor Expressions

100

21a-9

Factor this expression.

What is 

3(7a-3)?

200

-28y-32

Factor this expression.

What is 

-4(7a +8)?

300

1/2(3+4t-10)

Factor this expression.

What is 

2t-7/2?

400

1/ 5(15 + 10x - 5)

Factor this expression.

What is 

2 + 2x?

500

A carpenter plans to extend the length of a rectangular desk by 7 feet. Let x represent the desks original length. The expression 9(x + 7) represents the area of the desk where 9 is the width, in feet, and (x + 7) represents the extended length, in feet, of the desk. The carpenter thinks that the area of the extended portion of the desk is 16 square feet. Write an expression to represent the desks surface and the correct area of the extended portion of the desks surface?

What is 

9x + 63 , 63 sq. ft?.

Adding and Subtracting Expressions

100

(3z+1)+(5+7z)

Simplify the expression

What is 

10z + 6?

200

(10x-4)+(-7+x)

Simplify the expression

What is 

11x -11?

300

The width of a rectangle by (3x-1.5). The length of the rectangle , in feet is represented by (1.25x+3). Find the perimeter of the rectangle.

What is 8.5x + 3?

400

-2(1.5h+5)-4(-0.5+3h)

Simplify the expression

What is 

-15h-8?

500

(-9p+7)-(-9p+3)

Simplify the expression

What is 4?