Vocabulary
Coefficient
The number in front of a variable
Solve the following:
(5p2 - 3) + (2p2 - 3p3)
-3p3 + 7p2 - 3
Solve the following and graph its solution on a number line.
x + 5 > 6
x > 1
Solve:
5 + (–11)
-6
Solve:
2m2 + 2m2
4m2
Y-Intercept
The point where the graph crosses the Y axis
Solve the following:
(a3 - 2a2) - (3a2 - 4a3)
5a3 - 5a2
Solve the following and graph its solution on a number line.
-b - 2 > 8
b < -10
Solve:
(–17)(-9)
153
Solve:
-5d5 - 18d5
-23d5
Inequality
An inequality is like an equation, but instead of an equal sign (=) it has one of these signs:
< : less than
≤ : less than or equal to
> : greater than
≥ : greater than or equal to
(7 + 19b) * -15
-285b - 105
Solve the following and graph its solution on a number line.
m/3 - 3 < -6
m < -9
Solve:
| –19 | + | –5 |
24
Solve:
2m2 ⋅ 2m3
4m5
Variable
An unknown number usually represented by a letter
Solve the following:
(5n + 6) (5n - 5)
25n2 -25n + 30n - 30
OR
25n2 + 5n - 30
Solve the following and graph its solution on a number line.
2x + 4 > 24
x > 10
Solve.
18 + 5(5 – 9) ÷ 2
28
Solve:
4v3 ⋅ vu2
4v4u2
State the difference between an algebraic expression and a numerical expression
An algebraic expression is a mathematical expression that consists of variables, numbers and operations
A numerical expression is a mathematical sentence involving only numbers and one or more operation symbols.
Solve the following:
(6n2 − 6n − 5)(7n2 + 6n − 5)
42n4 − 6n3 − 101n2 + 25
Solve the following and graph its solution on a number line.
-4 ( -4 + x) > 56
x < -10
Solve:
29 – (7² – 9) ÷ 5
21
Solve:
2x3 y-3 ⋅ 2x-1 y3
4x2