10_31 Test 2-2 Review_ALG

Name __________________________________________
Date________________
Period __________
Test 2.2 REVIEW – Algebra 1 - MPJH
1. Which graph does not represent a function?
2. What is the x-intercept of the equation 2x + 4y = 7?
3. At Jennifer’s Jet Ski’s, the cost for renting a jet ski is $45 plus $35 per day. The
total cost can be represented by the equation y = 45 + 35x where x is the number
of days for which the jet ski has been rented and y is the total cost of renting the
jet ski. What is the y-intercept of this equation?
4. Rodney’s Rides car rental office charges $20 per day and $0.20 for each mile to
rent a small economy car. Grant plans to rent a car for a 2-day weekend vacation.
Which of the following represents the number of miles, m, Grant can drive if he can
spend up to $120 on a car rental for this vacation?
A 0 ≤ m ≤ 120
B 0 ≤ m ≤ 500
C 20 ≤ m ≤ 120
D 0 ≤ m ≤ 400
5. Write the equation of a vertical line passing through the point (5, 8)
________________________
6. Write the equation of a horizontal line passing through the point (-3, -7)
________________________
7. What is the y-intercept of the graph of 6x + 3y = 12? ________________
8. Decide which of the two points lies on the graph of the line.
x – 3y = 12
a. (9,1) b. (6,-2)
9. Solve the equation for y.
a.
-6x + y = 11
10. Make a table and find the range of y =
𝟕
𝟑
b.
10x -5y = 25
x + 3 if the domain is -3, -1, 0, 3.
11.Identify the range of the function with the given domain.
x + 3y = -8; domain x > 0
12. Solve the proportion:
a.
2𝑥−2
𝑥+3
=
6x - 3y = 9; domain x < 1
10
4
13. Write each equation in standard form.
b.
2
𝑛
a. -4 + 2y = 8x
=
14
𝑛+30
b. 10x -12 = 8y
14. The table below shows values
of y as a function of x. Which linear
equation best describes the relationship
between x and y?
x
y
A
y = 6x
B
y = 4x + 4
C
y = 3x + 6
D
y = 5x
2
12
8
30
14
48
27
87
37
117
17. Find the value of x so that
the function has the given
value.
f(x) = -7x – 3; -17
18. Evaluate the function
f(x) = -3x + 2; when x = -1, -2, 7
15. Write the equation for the line
6. graphed below.
3
6
19. What is the slope of the line
that passes through the points
(-3, 4) and (-3, -4)?
16. The owner of a convenience store
recorded the number of customers in the
store from 6:00am to 11:00am who were
served coffee and the number of pots of
coffee that were consumer. Write an
equation that describes this function.
20. A mechanic charges C(t) dollars
to install a new distributor in a car.
The formula
c(t) = 16t + 160
is used to find the cost of
installation, where t is the number
of hours of labor performed by the
mechanic. What does the slope
represent?
21.
23.
Which of the following is a correct
interpretation of the slope of the line on
Darin’s graph?
A The tree grew 1 foot in four years
22. Grace is saving money in a savings
account. She started with $5, and
adds $3 every week, as shown on
the graph below.
B The tree grew 1.5 feet in six years
C The tree grew 2 feet in six months
D The tree grew 4 feet in six months
24. Olsi’s Algebra teacher assigned 50
homework problems. The table below
compares the number of homework
problems Olsi has completed to the
percentage of the homework he has yet
to do.
What is the slope of the line connecting
the points on the graph?
What is the slope of the line that fits
these data?