Vocabulary
A mathematical phrase that contains operations, numbers, and variables, but no equal sign.
What is an expression?
x - 7 = 5
x = 12
7k - 14 = 42
k = 8
Lisa is cooking muffins. The recipe calls for 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
Let c equal the number of cups left. Make sure to label your answer with units!
c = 5 cups
$19.08
A mathematical sentence that shows that two expressions are equivalent.
-6y = -30
y = 5
r/4 - 12 = -5
r = 28
At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?
Let b equal the total amount of the bill. Label your answer with units!
b = $52
-13 + 5
-8
Two numbers that are the same distance from zero on the number line.
What are opposites?
r + 23 = 8
r = -15
-5 + 7k = -19
k = -2
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were on each bus?
Let s equal the number of students on each bus.
s = 54 students
What is the equation of a line that has a constant of proportionality of k = 2?
y=2x
A fraction that contains a fraction as the numerator, denominator, or both.
What is a complex fraction?
w/8 = 2
w = 16
-12 = 24 + 4b
b = -9
You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?
Let e equal the cost of each eraser.
e = $5
-54 รท -6
9
A constant ratio of or two variables related proportionally; k
What is the constant of proportionality?
y - 3.5 = -2.1
y = 1.4
9 = 4a +13
a = -1
Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?
Let c be the number of comic books Jill started with.
c = 40 comic books
A pair of shoes originally cost $60. They are on sale for 40% off. What is the cost of the shoes after the discount?
$36