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Final
100
Jeremy makes $4.70 every time he mows a lawn but it costs him $6.80 to refill his lawn mower with gas. If Jeremy mows 5 lawns using 3 tanks of gas, how much did he profit?
$3.10
100
Subtract the expressions:
(2y+14.6x+3.8)-(34.8x+15.6+4y)
-20.2x-4y-11.8
100
Write an expression that represents a price being discounted by 25% off the original price of the item.
x-0.25x
or
0.75x
100
The length of a living room is 12 feet and its width is 10 feet. The length of the room is being expanded by x feet. Write and expression that represent the total area of the living room in square feet.
10(12+x)
or
120+10x
100
Which property is shown:
3x+5y-7z=5y+3x-7z
Commutative property of addition
200
Distribute:
1/2(5x+18)
5/2x+9
200
Simplify:
8.9-1.4x-6.5x+3.4
12.3-7.9x
200
Using a NEGATIVE factor, factor:
12x-15y+33
-3(-4x+5y-11)
200
Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $25 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.
1/2x+25
200
Subtract the expressions:
(-3x-4y+9)-(2-6x+5y)
3x-9y+7
300
You sell a baseball card that has increased in value by 50%. Write an expression for the amount you sold the card for compared to the original price.
x+0.5x
or
1.5x
300
Angeline bought s yards of satin fabric priced at $8.09 per yard, and c yards of cotton fabric priced at $3.79 per yard. What expression could you use to determine the total cost of the fabric? If she bought 5 yards of satin fabric and 8 yards of cotton fabric, how much did Angeline spend in all?
8.09x+3.79y
$70.77
300
Simplify:
-6w+(-8)+1+(-7w)
-13w-7
300
Using the Commutative property of addition. Write an equivalent expression.
7(4x-9)
7(-9+4x)
300
Find the sum of the expressions:
(9c-8d)+(2c-6)+(-d+3)
11c-9d-3
400
Factor:
12x-18
6(2x-3)
400
Factor:
24v-84
12(2v-7)
400
Write and equivalent expression to
4xdiv5
(4x)/5
400
Eric exercises in sets that are each t minutes long. He does 6 sets of push-ups, 3 sets of pull-ups, and 4 sets of sit-ups. Write an expression to represent the time it takes Eric to exercise as the sum of three different terms. Then simplify the expression.
6x+3x+4x
13x
400
Expand and solve the expression:
3/2(4x-8y)
(3/2*4x)+(3/2*-8y)
6x-12y
500
List all the coefficients for the following expression:
2/3+6x-8y+4/5x-2/3z
{6,-8,4/5,-2/3}
500
How can you tell if a value has increased or decreased just by looking at a variable's coefficient?
Increased: Greater than 1
Decreased: Less than 1
500
Tamara says she used the GCF to factor the expression 21x + 56xy
as 7(3x + 8xy). Is she correct? Explain.
No, both terms also share an "x" therefore the GCF is 7x
7x(3+8y)
500
Sabra joins a cooking club for $8.50 and pays $6.25 each month. She also joins a movie club for $12 and pays $3.75 each month. Write an expression that represents the total amount of money Sabra spends on both clubs after m months. Then simplify the expression.
(8.50+6.25m)+(12+3.75m)
20.50+10m
500
Leon has a container filled with 450 grams of tea leaves. Each morning, he uses 3 grams to make a cup of tea. Write an expression to represent the amount of tea leaves remaining after x days
-3x+450
450-3x
500
A builder is adding an addition (Orange) onto the length of a house (Blue). The Original house and addition both have the same width. It takes 4 pieces of plywood with length x to go the length of the addition. If the TOTAL area is 140x+2555 square feet. What is the length and width of the original house?
35(4x+73)
Width is 35 feet
Length is 73 feet