1-1
Real Numbers
Real Numbers
Which set is a subset of A?
A= {1,2,3,4,5,6,7,8,9,10}
B= {3,6,9,15}
C= {7,8,9,10}
C={7,8,9,10}
Evaluate x @ y = 3x2 - xy + 1 for
x = 2 and y = 6.
1
s = a + lw gives the cost s of
building a table of width w ft. Find
a formula for w in terms of s.
w = (s-a) / l
Solve the compound inequality.
2(x - 2) + 7 > -1 and 5 -4x > 9
x > -2 and x < -1
Find the values of x in the equation.
14 + |4x + 10| - 32 = 0
x = -7 and x = 2
List all subsets of real numbers
-6
Rational & Integers
What is the value of 2x in this
equation?
3(2x - 5) - 4x + 8 = -2x + 1
2x=4
The velocity v that an object
r units from Earth's center must
have to escape Earth's gravity is
given by v2 = (2GM) / r , where G is a
constant. Solve for the object's mass M
M = (v2r) /2G
Solve the inequality.
-2(x - 3) - 4 >= 3x - 5(x - 1)
No Solution
Drew is putting up posters,
wanting them at least 1 block
apart. He puts up a poster 3 blocks
west of his house, which is at 0.
Solve and graph the absolute value
inequality to represent the possible
locations for the next poster.
|x + 3| > 1
x < -4 or x > -2
1,000,583,789
Rational, Integers, Whole, and Natural
LaTanya buys 5 yards of blue fabric
and 8 yards of green fabric. The
blue fabric costs $2 more per yard
than the green fabric. She pays a
total of $62. What would be the
combined cost of 1 yard of blue
fabric and 1 yard of green fabric?
$10
Write the formula for the volume
of a cylinder, V = (pi) r2h, in terms
of h. Then find the height h,
expressed to the nearest inch, of a
cylinder with volume V = 201 in3
and radius r = 2 in.
h = (V) / pi r2
h=16
The area A of a rectangle with
dimensions 1.5 and 4x is described
with the inequality 36 <= A <= 72.
Write a compound inequality in terms of x.
36 <= 6x <= 72
Steven buys 6 movie downloads.
The total cost is $3 above or below
$35. Write an equation that models
the cost x, in dollars, of each movie
download.
|35-6x|-3=0
Three bags contain three
consecutive even numbers of
marbles. There are 72 marbles in
total. How many marbles are in
each bag?
Write the numbers from least to
greatest.
22, 24, 26
Corey combines x pounds of herbal
tea at $12 per lb with 8 pounds of
green tea at $9 per lb. He makes a
mixture that averages $10.50 per
lb. Which equation models the
situation?
12x + 72 = 10.50(x + 8)
Solve the equation for the given variable.
6(2c + 3d) = 5(4c - 3d) ; d
d = 8/33 c
Solve this inequality.
-2x + 5(x - 2) > 7x - 6
x < -1
Isabel is buying 6 angelfish, and
she wants to spend no more than
$2 above or below $36. Which
inequality models the cost x, in
dollars, Isabel is willing to pay per
angelfish?
|36-6x|<= 2