Two-Step Equations
3(x - 5) = -3
x = 4
Write an equation:
Twice a number is 15.
2x = 15
Destiny rented a bike from Bikes-R-Us. It cost $14 plus $3 per hour. If Destiny paid $32 then she rented the bike for how many hours?
6 hours
2p - 4 > 4
p > 4
Write an inequality for the situation:
A family drives 400 miles per day on a trip. How many days, d, must they travel to reach a distance of at least 1600 miles?
400d>=1600
Leland goes to the market with $50. He buys one papaya for $20 and buys some apples that cost $6 each. How many apples can he purchase?
He can purchase 5 apples or less.
14 - 5h = 26
h = -2.4
Write an equation:
I bought some shirts at the store for $9 each and received a $25 discount. My total bill was $88. How many shirts did I buy?
9x - 25 = 88
Cristian had $21 to spend on pens and pencils. He purchased pen packs for $4 each and pencil packs. If he bought 3 packs of each. How much did each pencil pack cost?
$3
-4 < -3w - 19
w < -5
Write an inequality to represent the situation:
Sarah budgets $260 for yoga training. She buys a yoga mat for $20 and pays $12 per yoga class.
260 >=20+12y
Ella has $80. She wants to purchase a nail paint set for $16 and some earrings. Each pair of earrings costs $8. How many pairs of earrings can she purchase?
24 - 7y = 59
y = -5
Write a simplified equation:
The perimeter of a triangle is 29 units and its sides are 7, x , and x + 2 .
2x + 9 = 29
Weston spent $39 on a magazine and some candy bars. If the magazine cost $4 and each candy bar cost $5 then how many candy bars did she buy?
7 candy bars
h/4 + 46 ≤ 38
h ≤ -32
Write an inequality to find the numbers of bagels Nick can buy:
Nick has $7.00. Bagels cost $0.75 each, and a small container of cream cheese costs $1.29.
1.29 + 0.75x ≤ 7
Ms. Delicato is saving up to buy a digital camera that costs $490. So far, she saved $175. She would like to buy the camera 3 weeks from now. How much must she save every week to have at least enough money to purchase the camera?
She must save at least $105 per week.
1/4 (x + 16) = 2
x = -8
Write an equation to find the cost of popcorn:
A group of 6 friends attends a movie. Tickets cost $9 and each friend gets a bag of popcorn. In total they pay $78.
6(9 + x) = 78
For a field trip, 378 students and teachers rode in 9 buses. Each bus took 2 teachers as chaperones. How many students were on each bus?
40 students
-9d + 16 < 7
d > 1
Write an inequality to represent the number of cans, c, that Brad must still collect:
Brad needs to collect at least 200 cans for a food drive. He has already collected 40 items.
40+c>=200
Ryan goes to the store. He has $90. He wants to purchase a leather jacket for $45, a hat for $10, and some jeans. Each pair of jeans costs $35. How many jeans can he purchase?
He can purchase one pair of jeans.
2/3 (x + 6) = 10
x = 9
Write an equation to help find the cost per class:
A monthly membership to the gym costs $40 and fitness classes are paid separately. A family of 4 paid $560 last month. Each family member has a membership and attended 2 classes.
4(2x + 40) = 560
Angel won 40 pieces of gum playing basketball at his school's game night. Later, he gave two to each of his friends. He only has 8 remaining. How many friends received pieces of gum?
16 friends
72 ≥ 61 - y/8
y >= -88
Write an inequality for the amount Aydan needs to deposit to avoid being charged a service fee:
Aydan's bank offers free checking for accounts with a balance of at least $500. He has a balance of $516.46 and needs to write a check for $31.96.
484.50 + d >=500?
Miles works in New York City and makes $42 per hour. He works in an office and must get his suit dry cleaned everyday for $75. If he wants to make a profit of more than $264 a day, at least how many hours must he work? Round to the nearest whole number.
He must work more than 8 hours each day.