Expressions
A rectangle has a length represented by 3x − 2.4 and a width of 5. Its perimeter is 36 inches. Give 2 equations that can be used to represent the perimeter.
2(3x − 2.4) + 2(5) = 36
6x − 4.8 + 10 = 36
6x + 5.2 = 36
Sofia works at a fruit stand. She sells 8 bags of apples that each cost a dollars and one basket of oranges for $7. She collects $47 total. Write an equation and tell how much each bag of apples is.
8a + 7 = 47
$5 per bag
2(x + 4) − 3 = 13
x = 4
Solve and graph x/3 + 2 > −1 on the number line.
x > −9
Graph: Open circle at −9, arrow pointing RIGHT
What are 2 different ways to begin solving this equation?
8(x + 5) = 56
Distribute 8 to (x + 5)
Divide both sides by 8
The expression 6x-6.3 represents the perimeter of an equilateral triangle. Write an expression for the side length of this triangle.
2x - 2.1
A coach orders 20 water bottles that each cost w dollars and one first-aid kit for $12. The total bill is $92. Write an equation and tell the cost of a water bottle.
20w + 12 = 92
$4 per bottle
4(x + 3) − 5 = 19
x = 3
Solve and graph m/(−3) + 1 ≤ 4 on the number line.
m ≥ −9
Graph: Closed circle at −9, arrow pointing RIGHT
-17 - ( - 37)
20
A square's side length is represented by 3y + 1.2. Its perimeter is 32 inches. Give 2 equations that can represent its perimeter.
4(3y + 1.2) = 32
12y + 4.8 = 32
2(3y + 1.2) + 2(3y + 1.2) = 32
Jamal sells tickets at a movie theater. He sells 12 adult tickets that each cost t dollars and one group pass that costs $15. He collects $111 total. Write an equation that represents this and tell how much each ticket costs.
12t + 15 = 111
$8
³⁄₅(x − 10) = ⁹⁄₅
x = 13
Solve and graph -2m - 15 > - 2.4
m< -6.3
Kim spend $35 buying food from Midtown Diner. She spends $5 on a large potato salad and the rest on turkey sandwiches. The sandwiches cost $2.50. How many sandwiches did she buy?
12 sandwiches
A cafeteria has 30 tables. Each table seats 6 people. A student writes the expression 6(30 − p) to represent the number of available seats when p tables are occupied. The principal writes 180 − 6p. What information does each expression communicate?
The student shows a 'tables first' approach.
The principal shows a 'total seats first' approach.
Marisol buys 3 notebooks that all cost the same amount and 1 calculator that costs $9. The total cost is $21. Write an equation and tell the cost of one notebook.
3x + 9 = 21
$4
²⁄₃(x + 6) =4
x = 0
A cargo plane can hold at most 38,000. There are 35 boxes on the plane. Each box weighs 625 lbs. How many more boxes of the same weight can the cargo plane hold?
Up to 25 more boxes
In what year did International Women's Day become a holiday?
1911
A parking lot has 50 spaces. Each row holds 5 cars. An attendant writes 5(50 − r) to find available spaces when r rows are full. The manager writes 250 − 5r. What does each expression reveal about how the person is thinking about the situation?
The attendant calculates remaining rows first
The manager starts with total capacity
Solve ¹⁄₃(x − 9) = ⁵⁄₃ .
x = 14
Ella builds a chicken coop. The area of the chicken coop is 40 square feet. Each chicken needs at least 3 square feet of space. How many chickens can the coop hold?
0 - 13 chickens
Who is America's richest female celebrity?
Oprah Winfrey