Algebraic Expressions
Evaluate
Functions
Relations
Word Problems
100
the product of a number, x and 7.
7x
100
7 - 3 x 8 / 6
3
100
{(-2, 4), (3, 2), (2, 10)}
What is the Domain?
{-2 , 3 , 2 }
100
Put these ordered pairs into a table. (-5,-2) (-2,-1) (0,1) (2,3) (4,-5)
100
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. In how many days will the water level be 26 feet?
y = 1/2x + 34
16 days
200
List one way to write the algebraic expression 9 + 3x
The sum of 9 and 3 times a number.
200
f(x) = –7x
Find f(-4)
28
200
{(-6, 8), (-4, 2), (-4, 5)}
What is the Range?
{ 8 , 2 , 5 }
200
Draw a mapping diagram of the coordinate pairs: (-5,-2) (-2,-1) (0,1) (2,3) (4,-5)
200
Seth’s father is thinking of buying his son a six-month movie pass for $40. With the pass, matinees cost $1.00. If matinees are normally $3.50 each, how many times must Seth attend in order for it to benefit his father to buy the pass?
40 < 2.5x
More than 16 times
300
5 less than twice a number, x.
2x - 5
300
y(x) = -3 - 4n
Find f(-2)
5
300
For f(x) = -3x + 14
Find f(-5).
29
300
Create a table of ordered pairs for the function y = x2 – 4 Use values x = –3, –1, 0, 1, and 3.
{(-3 , 2), (-1 , -3) , (0 , -4) , (3 , 5)}
300
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting. What do you think the slope and the y-intercept represent? How much money will she make if she baby-sits 5 hours?
C = 5h + 3
The y-intercept represents the $3 flat fee.
The slope represents the $5 per hour.
$28
400
Seven increased by the product of two numbers
7 + xy
400
n − x when n = 4 and x = -3
7
400
f(x) = 4x2 - 3x + 2
Find f(-2)
24
400
Which relation below does not represent a function? Why?
[A] {(1,-5), (3,1), (-5,4), (4,-2)}
[B] {(1,-5), (-1,6), (1,5), (6,-3)}
[C] {(2,7), (3,7), (4,7), (5,8)}
[D] {(3,-2), (5,-6), (7,7), (8,8)}
[ B ]
The x value repeats.
400
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?
C = 50h + 25
8 hours : $425
10 hours : $525
500
The quotient of two numbers subtracted from 20
20 - x/y
500
f(x) = -9(4 + 7b)
Find f(-3)
-153
500
f(x) = -3(5w - 8) + 6
Find f(3)
-15
500
A relation exists between a toy store’s profit and the number of toys it sells. In this relation, what is the dependent variable?
The toys store's profit.
500
Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. Write and graph the equation for the total pounds, P, of aluminum cans after w weeks. What does the slope and y-intercept represent? How long will it take Rufus to collect 400 pounds of cans?
P = 25w + 100
The slope represents the 25 pounds per week.
The y-intercept represents the original 100 pounds.
12 week