Download Unit 5 TEST REVIEW ALGEBRA 1a

Unit 5 TEST REVIEW ALGEBRA 1
1. The charge for a Hawkins and Young Photography
Session includes an expense/travel fee of $185.00.
The photographer then is paid an hourly rate of
$250.00. Determine an equation that represents the
total price of a session using x and y. What does the
x represent? What does the y represent?
equation _____________________________________
x represents __________________________________
NAME :______________________
3. The density of a substance is the relationship
between the mass of the substance and how much
space it takes up (volume). Density is defined as
mass per unit volume. The equation is written as
d
m
where d stands for density, m stands for
v
mass, and v represents volume. Rearrange the
quantities in this formula to give a new formula for
volume, v, in terms of mass and density.
y represents __________________________________
2. What are the equations of the following graphs?
A:
Equation:
4. The domain of f(x) is {−7, 0, 4}. If 𝑓(𝑥) = −2𝑥 + 1,
what is the range?
_____________
B:
5. The range of f(x) is {6, 9, 12}. If 𝑓(𝑥) =
3
𝑥
2
− 3,
what is the domain?
Equation:
_____________
C:
Equation:
_____________
6. What is the difference in how you write the domain
and range for a discrete graph and for a continuous
graph?
DiscreteContinuous-
7. It would be “less than normal” not to have a test
without an inequality problem or two! Solve for x.
10. Graph the function f ( x)  2 x  4
A: 2x  8  4x  7
B:
2
3
x4  x6
5
2
Using the equation above, describe the effect on
the graph of f(x) when 𝑔(𝑥) = 2𝑥 + 4.
Graph the resulting equation on the grid above.
8. Draw a graph that is not a function:
11. Graph the function f ( x) 
9. Find the line of best fit for the following data
using a calculator:
1
x 1
3
Using the equation above, describe the effect on
the graph of f(x) when𝑔(𝑥) = 2𝑥 − 4.
Graph the resulting equation on the grid above.
12. What form is this equation written in?
_______________________
2 x  6 y  18
Now, write this equation in another form so that
you can determine the slope AND the y-intercept.
15. Read the scenarios and determine if their
graphs would be discrete or continuous.
a. the number of hours driven and the distance
traveled _____________________________
b. the number of students going on a field trip
and the total buses needed ______________
16. Write the domain and range for the following
graphs.
a.
13. Write an equation of a line in slope-intercept
form that passes through point (3,6) and is
parallel to the graph of equation, y  2 x  4 .
Domain _________________________________
Range __________________________________
b.
14. Write an equation of a line in slope-intercept
form that passes through point (-4,3) and is
perpendicular to the graph of the equation,
y  2 x  4 .
Domain _________________________________
Range __________________________________
c.
Domain _________________________________
Range __________________________________
17. What is the rate of change for the following
data?
_____________
What is the y-intercept of the following data?
_____________
x
3
5
8
y
5.5
9.5
15.5
What is the equation of this data?
19. Each notebook in a store costs $7, and each
eraser costs $2. If you want to spend exactly
$28, write an equation in standard form
modeling this situation. Let n represent the
number of notebooks you buy, and r represent
the number of erasers you buy.
Equation _________________________________
Continuous or discrete? _____________________
What is the domain? ________________________
What is the range? __________________________
_____________________
18. The math club wants to raise $300 for a needy
family this holiday season. The club decides to
sell Rubik’s Cubes and wooden puzzles. The
team will sell Rubik’s Cubes for $15 each. The
wooden puzzles are $25 per puzzle.
20. Apples are on sale for $0.70 per pound. Write
an equation to model the cost, y, for x pounds
of apples.
Equation _________________________________
Continuous or discrete? _____________________
What is the domain? ________________________
Write an equation to find out how many cubes and
puzzles must be sold in order to raise $300.
What is the range? __________________________
What is the cost for 16 pounds of apples? _______
Find the x- and y-intercepts for this situation.
x-intercept _________
y-intercept _________
21. The equation for area of a square is 𝐴 = 𝑠 2 .
Is the graph of this equation continuous or
What does the x-intercept mean in this problem?
discrete? _______________________________
What is an appropriate domain and range for this
equation?
What does the y-intercept mean in this problem?
d: _____________________________________
r: _____________________________________