Linear Equation Problems
1.
Find an equation of the line with y-intercept (0, -4) and slope 3/5.
2.
Graph y = 2x + 3.
3.
Graph 3x + 2y = -6.
10
-10
10
10
-10
-10
10
-10
4.
Find an equation of the line passing through (4, 0) with slope 1/3.
5.
Find an equa
Exponent Rules OR Exponents Rule!
Laws of exponents for real numbers a and b and integers m and n:
Rule
Example
Rule
Example
am an = am + n
52 5 4 = 56
a
a
= n
b
b
n
am
= am n
n
a
x12
= x8
4
x
a n =
a0 = 1
10 0 = 1
a
b
=
b
a
a b n
a = a
m n
1.
5x
Scientific Notation:
a 10 b ,
where 1 a < 10 and b is an integer
1.
Simplify. All final answers should have positive exponents only. Use the
exponent rules, and then you are welcomed to confirm your answers with a
calculator.
(a) 5-4
(b) 7x-3
(c) 5-1 + 3-
1. Complete the table below, and graph the line.
1
y x 1
3
x
-3
0
3
y
2.
Complete the table below, and graph the line.
y = -x + 4
x
0
1
2
y
10
3. Complete the table below, and graph
the line.
1
y x 6
2
x
-2
0
2
4
-10
10
y
-10
4. Complete the table below,
1. Dane is three years older than twice his brothers
age, b. If the sum of their ages is 27, find Danes age.
(a) 8
(b) 12
(c) 15
(d) 19
2. The sum of the distance, m, and 24, divided by 7, is
11. Find m.
(a) 18
(b) 31
3. Solve for n.
(a) -3
(b) 3
4. Solve
Number Sets
Natural
N = cfw_1, 2, 3, 4, 5, . . .
Whole
W = cfw_0, 1, 2, 3, 4, 5, . . .
Integers
Z = cfw_. . . , -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, . . .
Rational
the set of real numbers that can be expressed as a ratio of
integers
Note: Both termin
Simplify the following algebraic expressions. (Most of these involve combining like terms
using the distributive property.)
1. 4x + 3x + 2x + x
10y 2 3y 2 2y
2. 3(x +4) 5(x 1)
Subtract 7x 2 from 4x + 6
3. 8 + 5(4y 3)
Twice a number, subtracted from 12
2
x