Equivalent Expressions
Consider the expression 30b-6c. What is the value of the expression when b = -4, and c = 1.
-126
Which expression is equivalent to
-3/4 (32 + 24e -4f)?
-18e + 3f -24
Simplify the expression 5b + 3c - 20 + 3b - 15c +4.
What is 1/2 and 0.5?
During a walkathon, Team A walks a total of 6x + 12 miles, and Team B walks a total of 4x - 7 miles. What is the difference in miles walked between the two teams?
2x + 19
Hal earns n dollars per hour. Next month he will receive a 2% raise in pay per hour. The expression n + 0.02n is one way to represent Hal's pay per hour after the raise. Write an equivalent simplified expression that will represent his pay per hour after the raise.
1.02n
Use the expression 5b + 3c - 20 + 3b- 15c +4. What is the value of the expression when b = 2 and c = -3.
36
Simplify the expression 2(x - 6) + 2(8).
2x + 4
Simplify the expression 3.5(-3n + 4).
8b -12c - 16
There are 10x - 8 customers in a store on Monday and 6x + 16 customers on Tuesday. What is the total number of customers for the two days?
16x + 8
The area of a garden plot can be represented by the expression 84z - 54. The garden will be divided into six sections for planting six different vegetables. The sections will be equal in area. Write an expression that represents the area of each section.
14z - 9
Haddie makes and sells scarves. Next week, she will pay a $25 fee for the use of a booth at the craft fair. She will charge $12 for each scarf she sells at the fair. Write an expression to determine Haddie's profit for selling s scarves after paying the fee for the use of the booth.
12s - 25
Factor the expression the expression 30b - 6c using GCF.
6(5b - c).
Factor the expression 8b - 12c- 16.
4(2b - 3c - 4)
Add the expressions.
(5.2c - 7.35) + (-3.9c + 2.65)
1.3c - 4.7
The manager of a store marks up all the items by 10%. If x is the original price, which expression represents the new price with the markup? Select all that apply.
0.9x
x
1.1x
x + 0.1x
x - 0.1x
1.1x
x + 0.1x
The cost to buy p pounds of potatoes at $0.32 per pound and n pounds of onions at $0.48 per pound can be determined by using the expression 0.32p+ 0.48n. How much will it cost to buy 4.5 pounds of potatoes and 2.5 pounds of onions?
$2.64
Simplify the expression
-8w + (-4z) + 2 + 6w + 9z -7.
-2w + 5z -5
Combine like terms. x- 2/3 - 1/2x.
1/2x -2/3
Add te expressions. (6x -2y -5) - (-5 + 9y -8x)
14x - 11y
Joseph has $60 in a savings account. Each week he deposits $12 in the account. Which expression is equivalent to the total amount in the account after x weeks? Select all that apply.
60x + 12
60x + 12x
12(5 - x)
12x + 60
12(5 + x)
60x + 12x
12x + 60
12(5 + x)
The price of nails, n, is $1.29 per pound, the cost of washers, w, is $0.79 per pound, and the cost of bolts, b, is $2.39 per pound.
Part a- Write an expression to represent the total price of the supplies.
Part b- What is the total cost of buying 2 pounds of nails, 4 pounds of washers, and 3 pounds of bolts?
A- 1.29n + 0.79w + 2.39b
B- $12.91
Which shoe\s a way to factor the expression
32t - 48? Select all that apply.
2(16t - 24)
4(12t - 48)
6(26t - 42)
8(4t - 6)
16(2t - 3)
2(16t - 24)
8(4t - 6)
16(2t - 3)
Factor 81y + 54
3 (27y + 18)
9(9y + 6)
3(27y + 18)
Lat week Jean ran 2 fewer than 4m miles. This week she ran 0.5 miles more than last week. Write and simplify an expression for the total number of miles Jean ran in the two weeks.
(4m - 3) + (4m - +0.5) = 8m- 3.5
The height of the water in a fish pond is 42.5 inches. Water is being drained from the pond at a rate of 3.75 inches per minute. What is the height of the water after 3 minutes?
31.25 inches