Transcript Semester Exam Review PP

Algebra 1
Semester Exam
2017
Extra Practice
1) Evaluate:
x2 – (y3 – 5z) if x = -2, y = 3, z = 4
-3
2) Solve: 4(6x – 3) = -(5 + 8x) + 4x
3
x = -1/12
3) Write the equation of a line passing
through (-2, -1) and (-8, 3) in slopeintercept form.
y = -2/3 x – 7/3
4) Given f(x) = -4x+5 and
g(x) = 3x2 – 6
Find:
a) f(6)
b) g(-3)
c) f(0) + g(-1)
a) -19
b) 21
c) 2
5) Is each relation a function?
a)
b)
c)
x
y
x
4
5
-1
3
1
4
-7
0
-2
6
3
a) yes
b) no
c) yes
y
5
2
6) Write the equation of a line
with a zero slope that passes
through the point (-5, 3).
y=3
7) Graph by first writing in slopeintercept form. 4x – 3y = 6
y = 4/3x - 2
8) The area and height of a trapezoid
are related by the equation
A = 1h(7 + 9)
2
What is the height of the trapezoid if
the Area is 60 in2?
7.5 inches
9) Solve by graphing:
2x - 4y = 8 and 2x + y = 3
y=½x–2
y = -2x + 3
(2, -1)
10) A movie theater sells tickets for $9.00
each. Senior citizens tickets are $3.00. One
evening the theater sold 636 tickets and took
in $4974 in revenue. How many tickets were
sold to senior citizens?
125 senior citizen tickets
11) Solve.
3x – 5(-2x + 7) = 6 + 5(3 + x )
x=7
12) The owner of Mel’s Doughnuts makes a huge
batch of doughnuts in the morning and as the day
goes by customers come in to buy them. She
records in the table the amount of doughnuts
remaining in the shop as customers come in to
purchase them. Write an equation in slope-intercept
form modeling this situation.
Number of
customers
6
12
18
24
30
36
Doughnuts
remaining
564
528
492
456
420
384
y = -6x + 600
13) The owner of Mel’s Doughnuts makes a huge batch of
doughnuts in the morning and as the day goes by customers
come in to buy them. She records in the table the amount of
doughnuts remaining in the shop as customers come in to
purchase them. Equation y = -6x + 600.
a) What specifically does the slope represent in this problem?
b) What specifically does the y-intercept represent?
c) After how many customers would Mel run out of donuts?
Number of
customers
6
12
18
24
30
36
Doughnuts
remaining
564
528
492
456
420
384
a) # of doughnuts remaining decreases by 6
per customer
b) Mel started off with 600 donuts
c) 100 customers
14) Solve the system using
substitution or elimination:
2x - 5y = -9 and 3x + y = -5
(-2, 1)
15) Solve, graph, and write in
interval notation.
-5 < -3x + 7 < 12
a)
b)
c)
16) Write the equation
for the line of best
fit using the two
points labeled.
y = 25x + 55 5
18
18
17) A chemist has 70 mL of a 50% methane
solution. How much of a 80% solution
must she add so the final solution is 60%
methane?
35 mL of the 80% solution must be added
18)
The correlation coefficient is -0.930. What type
of relationship does this show? Be specific.
There is a pretty strong negative correlation
Between the elevation and the Avg. annual
Temperature.
19)
Does this relationship show causation?
Why or why not?
Yes, the elevation of a location will cause the
temperature to increase or decrease.
20)
Name the
system of
inequalities
that is graphed.
y < 3x + 2 and y > -3/2x - 1
21) Graph x = 4
22) Find the number of solutions for
the system of equations.
x + 6y = 3
-3x - 18y = -9
Infinitely many
solutions
23) Solve, graph, and write in
interval notation.
-4(x – 10) < -4
5
a)
b)
c)
24) John took a drive to town at an average
rate of 40 mph. In the evening, he drove
back at 30 mph. If he spent a total of 7 hours
traveling, how much time did he spend
driving back?
It took 4 hours to drive home
(3 hours driving to town)