Properties of Operations
0.8y + 2.7y + 3.0
3.5y + 3.0
A pair of boots are one sale at Bass Pro for 75% off. If using (c) to represent the cost of boots, then which expression is equivalent to (c - 0.75c)?
0.25c
144 = - 12 (x +5)
-17
A rectangular garden sits next to a house. Three sides of the garden are fenced, and the fourth side is the house. The length of the garden along the house if 9 meters. A total of 21.5 meters of fencing is used. If w stands for the width of the garden in meters, which equation can be used to find its width?
2w + 9 = 21.5
If a triangle has a base of 6 cm and a height of 10 cm, what is its total area?
30 square centimeters
3x + 5(-2x + 6)
-7x + 30
Tammie has a discount member card that reduces the price of her grocery bill in Costco by 7%. If (c) represents the cost of Tammie's groceries, which expression represents Tammie's grocery bill including the discount?
c - 0.07c
- 6 = n/2 - 10
8
The length of each of the two congruent sides of an isosceles triangle is 2x+3. The length of the third side is 2x. Its perimeter is 36 centimeters. Create and solve an equation to find the value of x.
x = 5
A jacket originally costs $80 but is on sale for 25% off. How much money do you save?
$20
1/3 (12y - 33)
4y-11
At TSC a bag of rabbit grass (r) costs $25. If Ben wants to calculate how much he will spend on rabbit grass on his next trip to TSC, then which of the following expressions will help him calculate that cost?
25r
(r+5)/16 = -1
-21
Ben built bird houses to sell at the craft fair for $8.00 each. He had to spend $40 at Home Depot on materials. Create and solve an inequality to represent the number of bird houses Ben must sell to make more than $200.
b > 30
I am thinking of a number. If you multiply it by 4 and then subtract 7, the result is 25. What is the original number?
8
Write an expression to represent the perimeter of 2c - 3 of a regular hexagon.
6(2c-3)
Amanda bought a cookbook for 45% less than the original price. The original price was (y) dollars. Which of the following expressions could be used to calculate the reduced price of the cookbook?
y-0.55y
4 (-4x – 3) > 36
x < -3
When Brittany bought her puppy, she was promised that she would weigh less than 5 pounds when she is full grown. Right now the puppy weighs 2.5 pounds. Which inequality represents the amount of weight the puppy can gain and still be within the seller's promised weight.
p + 2.5 < 5
A car travels at a constant speed of 60 miles per hour. How many minutes will it take for the car to travel 45 miles?
45 minutes
Write an expression to represent the perimeter of a rectangle with a length 8 its width, w.
2(8w+w)
The owner of Target uses the expression (r - 0.6r) to calculate the sales price of each piece of Thanksgiving decor he is discounting. In the expression, r represents the regular price of the Thanksgiving decor item. Which of the following is equivalent to the expression?
0.4r
6(2/3x - 3)>8
x > 6 1/2
William got a summer job cutting lawns so that he can buy a 4-wheeler that costs $1200. He bought a used lawnmower for $350 before he started any jobs. He is charging $40 for each lawn he mows. Create and solve an inequality to represent the minimum number of lawns he must mow to earn the money he needs to buy the 4-wheeler. (Tip: You cannot mow part of a yard/property.)
m "greater than or equal to" 39
What is the only even prime number?
2