Two-Step Equations
两步方程
两步方程
3 + 4c = 15
c = 3
- 2x = 2.2
Toya bought some fruit for $5 and 3 boxes of cereal and spent a total of $17. Write and solve an equation for the situation.
Toya 花了 5 美元买了一些水果，又买了 3 盒麦片，总共花费了 17 美元。请针对这一情境列出并求解一个方程。
3n + 5 = 17
n = $4 per box
3n + 5 = 17
n = 每盒 4 美元
3a + 6 = 2a
a = -6
a. Jeremiah can spend at most $15 at the store.
b. There are more than 35 students in the band.
a. 杰里迈亚在商店里最多只能花15美元。
b. 乐队里有超过35名学生。
a. j ≤ 15
b. b > 35
0.12t - 0.6 = - 0.06
t = 4.5
- 1/4x = 16
x = - 64
Six less than twice a number is - 22. Write and solve an equation for this.
某个数的两倍减去 6 等于 -22。请列出并求解相应的方程。
2n - 6 = -22
n = -8
8.7w - 3 = 5.5w + 3.4
w = 2
Solve the inequalities
a. a - 15 ≤ 3
b. -5x < 13
a. a ≤ 18
b. x > 13/5
3/8 (v - 6) = 1/8
v = 64.7
1/5x = 4
x = 20
Nelle spent $36 on books ad pens. She spent $12 more on books than she did on pens. How much did she spend on books?
Nelle 花了 36 美元购买书籍和钢笔。她在书籍上的花费比在钢笔上多 12 美元。她花了多少钱买书？
$24
2/3x + 6 = 1/3x - 13
x = - 57
Jose is buying books and CDs. He can spend at most $150. He spends $30 on books. If each CD costs $20 write and solve an inequality to show the maximum number of CDs Jose can buy.
Jose 正在购买书籍和 CD。他最多只能花费 150 美元。他花了 30 美元购买书籍。如果每张 CD 售价为 20 美元，请列出并求解一个不等式，以确定 Jose 最多可以购买多少张 CD。
20x + 30 ≤ 150
x ≤ 6
4.1(x - 2.7) = 254.2
x = 64.7
Rosa is baking granola bars for her friends. Each bar requires 4.8 ounces of dough. Write and solve an equation to find how many granola bars Rosa can make if she has 336 ounces of dough.
Rosa 正在为朋友们烘焙燕麦棒。每根燕麦棒需要 4.8 盎司的面团。请列出并求解一个方程，以确定如果 Rosa 拥有 336 盎司的面团，她一共能制作多少根燕麦棒。
4.8x = 336
x = 70 granola bars
4.8x = 336
x = 70 根格兰诺拉麦片棒
Talia buys 4 boxes of cereal. She has coupons for $1.15 off the regular price of each box of cereal. After using the coupons, the total cost of cereal is $8.40. Write and solve an equation to find the regular price of each T-shirt.
Talia 买了 4 盒麦片。她手上有每盒麦片可优惠 1.15 美元的优惠券。使用优惠券后，麦片的总价为 8.40 美元。请列出并求解一个方程，以求出每盒麦片的常规价格。
4(p - 1.15) = 8.40
p =$3.25
5x + 2/5 = x - 1/10
x = - 1/8
a. 2(x + 2) - 4 = 2x
b. 5 + 3y = 3(2 +y)
a. identity; all numbers
b. null set; no solution
a. 恒等式；所有实数
b. 空集；无解
Nate read 10 more books than Maren for the summer reading program. The total number of books they read is 60. Solve x + x + 10 = 60 to find the number of books Nate read.
在暑期阅读计划中，Nate 比 Maren 多读了 10 本书。他们共读了 60 本书。请解方程 x + x + 10 = 60，以求出 Nate 读了多少本书。
35 books
35本书
Samantha has 15 packets of beads. She wants to make bracelets that use 1.5 packets of bead each. Write and solve an equation to find how many bracelets Samantha can make.
Samantha 拥有 15 包珠子。她想制作手链，每条手链需要用掉 1.5 包珠子。请列出并求解一个方程，以求出 Samantha 一共能制作多少条手链。
1.5x = 15
x = 10 bracelets.
1.5x = 15
x = 10 只手链
Brady buys five T-shirts on sale for $4 off the regular price. His total cost is $55, before tax. Write and solve an equation to find the regular price of each T-shirt.
Brady 购买了五件正在打折的 T 恤，每件比原价便宜 4 美元。不含税的总花费为 55 美元。请列出并求解一个方程，以求出每件 T 恤的原价。
5(t - 4) = 55
t = $15
An online video game site charges a $10 membership fee and a $6.00 monthly cost. Another game site charges $6 membership fee and a $8.00 monthly cost. Write and solve an equation to find how many months it would would take for the total cost of the two sites to be the same.
一家在线视频游戏网站收取 10 美元的入会费和 6.00 美元的月费。另一家游戏网站收取 6 美元的入会费和 8.00 美元的月费。请列出并求解一个方程，以确定经过多少个月后，这两家网站的总费用会变得相等。
6x + 10 = 8x + 6
x = 2 months
6x + 10 = 8x + 6
x = 2个月
A car sales associate receives a monthly salary of $1700 a month plus $140 for every car he sells. How many cars must he sell monthly to earn at least $4,500?
一位汽车销售员的月薪为 1700 美元，此外每售出一辆车还能获得 140 美元的提成。他每月必须售出多少辆车，才能赚取至少 4500 美元？
140x + 1700 ≥ $4,500
x ≥ 20 cars