Soulful Solutions
What is the solution to 3x = 21?
7
State the direction the graph for the following inequality would be shaded (above or below) and if it would be solid or dashed:
3x + 4y < 24
below and dashed
Which of the following is an example of a linear function?
a) Bacteria population triples every hour.
b) A cleaning company charges $100 for the first 3 hours and $40 every hour after.
c) A comic book gains twice its value every 10 years.
d) A ball is thrown in the air and reaches a maximum height of 10 feet before falling back to the ground.
b) A cleaning company charges $100 for the first 3 hours and $40 every hour after.
75 students were asked their favorite sport. 28 listed football, 32 listed basketball, 9 listed baseball and 6 listed soccer.
What percent of students preferred football?
37.3%
What is the solution to 4x + 7 = 2x + 11?
2
Graph the following inequality in your calculator and state one solution (teacher will check on calculator, as answers will vary).
y > 2x + 5
Answers vary
The amount Amy gets paid each week at a shoe store is represented by the function
f(s) = 2.75s + 300,
where s is the number of shoes she sells. What does the 300 represent?
The amount she will be paid each week no matter how many shoes she sells.
Simplify the following expression:
2x(x2 + 7x - 10) - x(2x2 - 3x + 4)
17x2 -24x
What is the solution to 5x + 8 < 2x - 3?
x < -11/3
Write the following inequality in slope-intercept form:
3x + 4y < 24
y < 6 - 3/4x OR
y < -3/4x + 6
Is the following relation a function? Why or why not?
(2,7), (3,8), (6,9), (3,10), (1,11)
No, because the x value (3) repeats.
Which of the following expression or expressions is in standard form, and why?
i. 3x2 - 2x + 19
ii. 4x4 + 7
iii. 4x3 + 2x5 - 7
iv. x10 + x11
i and ii, because they are in decreasing order of degree.
What is the solution to 5x + 2 < 7x - 4?
x > 3
Jake wants to buy some chips and cookies for a party. Chips are $2.50 per bag and cookies are $3.75 per box. If he only has $20 to spend, write an inequality that would represent the situation where he buys x bags of chips and y boxes of cookies.
2.50x + 3.75y ≤ 20
What is the domain of the function:
f(x) = x2 + 10
(∞,∞)
Is the sum of 1/2 and √36 rational or irrational? Why or why not?
Rational, because the sum or two rational numbers is always rational.
What is the solution to 2 - 1/3 (x + 3) = 5x
3/16
What would be one solution to the following system of inequalities? (teacher will check, as answers vary).
y > 2x + 5
4x + 3y < 24
(answers vary)
but graphs should be for y > 2x + 5 and y < (-4/3)x + 8
If j(x) = 3x + 20x2, what is the value of j(10)?
30 + 20(10)2
= 2030
If an = n(an-1) and a1 = 3, what is the value of a4?
a2 = 2(3) = 6
a3 = 3(6) = 18
a4 = 4(18) = 72
72