Solve Two-Step Equations -Distribute
6(x + 3) = 48
x = 5
4d + 5 = 13
d = 2
Henry hit 3 more than half as many home runs as Jack hit last season. Henry hit a total of 8 home runs.
1/2x + 3=8
x=10
Eight more than four times a number is 28.
4x+8=28
x=5
What is 8% of 50?
4
–5(x + 2) = –70
x = 12
0.6p+4.5=22.5
p = 30
Three times a number, added to 8, is 53.
3n+8=53
n=15
You want to buy a pet rabbit that costs $242 You already have $62 and you plan to save $12 per week. If w represents the number of weeks until you have enough money to buy the rabbit. Write and solve the equation.
12w+62=242
w=15
What is the unit rate? Johnny paid $18.99 for three t-shirts.
$6.33
9(x + 8) = 18
x = –6
6x+1.6=58
x = 9.4
Sarah saved $12.75 every week for a number of weeks w. She received an additional $25 during the last week in which she saved money. Write and solve an equation to find the number of weeks w for which Sarah had saved money if she has $114.25 now.
12.75w+25=114.25
w=7
You buy 2.4 pounds of apples and 1.6 pounds of pears. Apples and pears sell for the same price per pound. The total cost, after using a 75cents¢-off coupon, is $4.25. If c represents the cost of the fruit in dollars per pound, what equation could you use to find the value of c?
4c-0.75=4.25
c=1.25
1.5(x + 2.1) write an equivalent expression by using distribution
1.5x + 3.15
2(x + 5) = –24
x = –17
1/2x + 6 = 18
x = 24
In 2000, the number of federal hazardous waste sites in State X was 8 less than twice the number of sites in State Y. Suppose there were 34 such sites in State X. Write and solve an equation that represents the number of hazardous waste sites, n, there were in State Y.
2n-8=34
n=21
A chef prepares and evenly divides s ounces of beef stock into 3 smaller pans. The chef uses 8 ounces of beef stock from one of the smaller pans, and 34 ounces of beef stock remain in that smaller pan. Write an equation that correctly represents the number of ounces of beef stock s that the chef initially prepares.
s/3 - 8=34
s=126
how do you find the constant of proportionality?
k = y/x
–5(x + 3) = –95
x = 16
12x - 2/3 = 83 1/3
x = 7
A group of 5
friends each have x action figures in his or her collection. Each friend buys 11 more action figures. Now the 5 friends have a total of 120 action figures. How many action figures did each friend start with?
5(x+11)=120
x=13
At a party, the amount of people who ate chicken wings was 15 less than two thirds 2/3 of the total number of people. The number of people who ate chicken wings was 23.
2/3x - 15=23
x=57
Write an equivalent expression
3.2y - 4 + 7x - 21 + 0.8y - 3x
4y + 4x - 25