Lines
Expressions
Exponents
Order of Operations
Substitution & Solving
100
Solve for x:
4x -3 +2 = 0
x = 1/4
100
Which numbers are coefficients in this expression:
3x + 42y2 - 12
3 and 42
100
When you see the following expression, what is the big number called and what is the little number on top of it called?
24
Big number - base number
little number - exponent or power
100
Simplify the following expression:
62
100
Evaluate for when x = 8
4x - 2
30
200
What is the definition of a linear relation?
Linear means a direct relationship - x and y change at the same rate.
200
Combine like terms: 5x + 3 + 2x - 1
7x + 2
200
How can you rewrite 94 in expanded form?
9 x 9 x 9 x 9
200
Simplify the following expression:
5
200
Evaluate for when m = 2
18/m + m
11
300
Solve for x :
-5x - 8 > 2
x < -2
300
Use the distributive property to simplify: 4(2x - 5)
8x - 20
300
How can you rewrite the following in exponential form?
7 x 7 x 7 x 7 x 7
75
300
3 + 42 * (3 + 2)
83
300
f(x) = 2x - 7
evaluate for x = 4
f(4) = 1
400
what is the slope between the points (5,6) and (3,0)
m = 3
400
Translate this phrase into an algebraic expression: "Eight less than triple a number, n."
3n - 8
400
What is the value of:
24
16
400
45
400
Evaluate for a = 3 and b = 4
a - 3b + 2
- 7
500
A car rental company charges a flat fee of $30 plus $0.20 per mile driven. The total cost, y, for driving x miles is modeled by the equation: y=0.20x+30
A) What is the slope of this line, and what does it represent in the context of the problem?
B) What is the y-intercept, and what does it represent?
A) .2 - representing a positive rate of change
B) 30 - representing the fee that one has to pay before driving (time = 0)
500
An electronics store charges a flat diagnostic fee of $45 plus $25 per hour for repairs. Write an algebraic expression for the total cost of a repair lasting h hours.
25h + 45
500
A certain type of bacteria doubles in population every hour. If a petri dish starts with 5² bacteria, the population after h hours can be found using the expression 52(2h) How many bacteria will be in the dish after 4 hours?
400 bacteria (25 × 2⁴ → 25 × 16 = 400)
500
Leo is building a square sandbox with an area of x² and a border made of 4 planks. The cost to build it is modeled by the expression 3 × (s - 2)² + 15, where s is the side length. If the side length is 7 feet, how much will the sandbox cost to build?
$90
500
A cell phone company charges a monthly flat rate of $35 plus $0.10 per text message sent. If Maya's bill last month was $52, write an equation to find how many texts she sent, and solve it.
35 + 0.10t = 52
t = 170