Definition(guess the term)
Definition:
_____ is an equation that states that two ratios are equal.
Answer: Proportion
A painting is 17.5 in. wide. What is the width in centimeters? (1in. = 2.54 cm.)
The painting is 44.45 cm wide.
Solve for "y"
10x + 5y = 80
Answer:
y = 16 - 2x
Solve using substitution
y = 4x - 7
y = 2x + 9
(8, 25)
Definition:
_____ is a mathematical phrase involving numbers and operation symbols, but no variable.
Ex: 2 + 4
Answer: Numerical expression
A tower is about 1815 ft tall. About how many meters tall is the tower? (Use 1m = 3.28 ft.)
The tower is about 553 meters tall.
Solve for "x"
2(5x - 1) = 3(x + 11)
Answer:
x = 5
Solve using elimination
4x + y = 8
-3x - y = 0
(8, -24)
Definition:
_____ is a monomial or the sum or difference of two or more monomials. A quotient with a variable in the denominator is not a _____.
Answer: Polynomial
A bookstore buys a book for $16 and marks it up to $28. What is the markup expressed as a percent charge?
The price of the book is increased by 75%.
Solve for "x"
ax - bx = c
Answer:
x = c/a-b
Solve using substitution
8x + 2y = -2
y = -5x + 1
(2, -9)
Definition:
_____ shows the relationship between two changing quantities. When one quantity depends in the other, the following is true.
_____ = change in the dependent variable/change in the independent variable
Answer: Rate of change
It takes a graphic designer 1.5 hours to make one page of a Web site. Using new software, the designer could complete each page in 1.25 hour, but it takes 8 hours to learn the software. How many Web pages would the designer have to make in order to save time using the new software.
It will take the designer the same amount of time to make 32 web pages using either software. The designer must make 33 pages or more in order to save time using the new software.
Solve for radius (r)
(Use 3.14 for π)
C = 2πr
Answer:
r = 10.2
Solve using substitution
y +2x = -1
y - 3x = -16
(3, -7)
Definition:
_____ is the ratio of the number of favorable outcomes to the number of possible outcomes if all outcomes have the same chance of happening.
Answer: Theoretical probability
The cost of petrol rises by 2 cents a liter. Last week a man bought 20 liters at the old price. This week he bought 10 liters at the new price. Altogether, the petrol costs $9.20. What was the old price for 1 liter?
20 x a + 10 x (a+2) = 920 (cents)
20 x a + 10 x a + 20 = 920
30 x a + 20 = 920
30 x a = 920 - 20
30 x a = 900
a = 900 : 30
a = 30 (cents)
Therefore the old price for 1 liter of petrol is 30 cents
Solve for "x"
3x - 7 = 5x +19
Answer:
x = -13
Solve using elimination
3x + 2y = -10
2x - 5y = 3
(-44/19, -29/19)