Vocabulary
an equation rule for a relationship between two or more quantities is a(n) _________
choices:
compound inequality, element, formula, literal equation, set or subset?
Formula
Determine whether it is an element of real numbers, irrational numbers, rational numbers, integers, or whole numbers. List all that apply.
13.9
rational, real
What property would you use first to solve 1/2x - 6 = 10
add 6 to the other side because it cancels out. You have to isolate the x.
21- 4x = 4x + 21
x = 0, one solution
xy = k. Isolate the y.
y= k/x
a combination of two or more inequalities using the wrod and or the word or is a(n)
choices: compound inequality, element, formula, identity, literal equations, set, or subset?
compound inequality
Determine whether it is an element of real numbers, irrational numbers, rational numbers, integers, or whole numbers. List all that apply.
square root of 11
real number, rational number, integer, whole number.
3(2x-1) = 21
x = 4
6b - 27 = 3(5b - 2)
b = -2 1/3 or -2.3333 repeating
a = 2/b + 3c, isolate the c.
c = ab - 2/3b
Any of the distinct objects of a set is called a(n)_____
choices:
compound inequality, element, formula, identity, literal equation, set or subset?
element
Determine whether it is an element of real numbers, irrational numbers, rational numbers, integers, or whole numbers. List all that apply.
-48
real number, rational number, integer.
5/8 = 3/4b - 7/12
b = 29/18
.45(t + 8) = .6(t - 3)
t = 36
Call out the mistake the student made.
a = 3/4(b + 5). isolate b.
4/3a = 3/4(b + 5) 4/3
4/3a = b+5
b = 4/3a +5
the student added 5 instead of subtracting 5 in the last step.
an equation where letters are used for constants and variables is a(n)________
choices:
compound inequality, element, formula, identity, literal equation, set or subset?
literal equation
Order from least to greatest.
.36 repeating, square root of 15, square root of 17/3
.36 repeating, square root of 17/3, square root of 15.
100 = 8(4t - 5)
t = 4.375
Call out the mistake this student made on this problem.
.6(y - .2) = 3 - .2(y - 1)
.6y - .12 = 3.2 - .2y
100(.6y - .12) = 10(3.2 - .2y)
60y - 12= 32 - 2y
60 - 12 +12 +2y = 32 + 12 - 2y +2y
62y = 42
y= 21/31
the student multipled by the right side by 10 instead of 100.
6(2c + 3d) = 5(4c - 3d)
d = 8/33 c
if each element of B is also an element of A, B is a(n) ______ of A.
choices:
compound inequality, element, formula, identity, literal equation, set or subset?
subset
Taylor uses tape to mark a square play area in the basement for her daughter. The area measures 28 square feet. Is the side length of the square rational or irrational? Explain!
irrational: 28 is not a perfect square, so the square root of 28 is not rational.
The price for an adult movie ticket is 1 1/3 times as much as a movie ticket for a child. Ines takes her daughter to the movie, buys a box of popcorn for $5.50, and spends $26.50. Write and solve an equation to find the prices for each of their movie tickets.
1 1/3t + t + 5.5 = 26.5, adult ticket $12, child ticket $9
Aaron can join a gym that charges $19.99 per month, plus an annual $12.80 fee, or he can pay $21.59 per month. He thinks the second option is better because he plans to use the gym for 10 months. Is Aaron correct? Explain.
No, he is not correct, for 10 months, the first option will cost $19.99(10) +12.80 = $212.70. The second option will cost $21.59(10) = $215.90. The first option is less expensive.
isolate h.
V= 1/3 pi r2 h
h = 3v/pi r2