Algebra 1 – Fall Midterm Review k 

Algebra 1 – Fall Midterm Review
Solving Equations and Inequalities
1.
(A.5A)
6.
Solve for 𝑥:
A.
 3(2k  3)  20  4k
A.
11
𝑥 = 10
B. 𝑥 =
2.
11
2
11
2
11
− 10
C.
𝑥=−
D.
𝑥=
A.
B.
C.
D.
3.
4.
(A.5A)
C.
𝑦=
D.
𝑦=−
𝑄+3𝑎
5
C.
𝑐=
𝑄−3
3𝑎
D.
𝑐=
𝑄−3𝑎
5
Step 1
Step 2
Step 3
7.
A.
Step 4
B.
11
6
11
6
In one baseball season, Jaime hit twice
the difference of the number of home runs
Alice hit and 10. Altogether, they hit 28 home
runs. How many home runs did Alice hit?
(A.5A)
A.
B.
C.
D.
5.
𝑐=
Solve the equation 21 y  18  12 y
𝑦=2
𝑦 = −2
(A.5B)
16
14
12
8
C.
3(n  2)  5n  10  0
A.
B.
C.
D.
𝑛>2
𝑛<2
No solution
𝑛 > −3
𝑄+5
3𝑎
B.
Step 1
Step 2
Step 3
Step 4
A.
B.
𝑐=
Domain and Range
Examine the problem below. Which
step contains the first error?
7 y  3(7 y  2)  5  73 original equation
(A.5A)
7 y  21y  6  5  73
−14𝑦 − 1 = −73
−14𝑦 = −72
36
𝑥=
7
Solve the following literal equation for 𝑐.
𝑄 = 3𝑎 + 5𝑐
(A.12E)
D.
(A.2A) Which graph shows a function
with a domain of all real numbers
greater than 7?
Algebra 1 – Fall Midterm Review
8.
Rental cars at ABC Rental Car Company
cost $50 to rent, plus $2 per mile (partial miles
round up). This function can be represented
by the equation 𝑀(𝑑) = 2𝑑 + 50 where
𝑑 = distance traveled and 𝑀 = money spent.
What is the range of this function?
(A.2A)
A.
B.
C.
D.
𝑅: − ∞ < 𝑦 < ∞
𝑅: {0, 1, 2, 3 . . . }
𝑅: 𝑦 ≥ 0
𝑅: 50, 52, 54, 56 . . . }
A scientist is keeping data on the growth
of a tree over a period of time. What would be
the most reasonable range?
A.
All real numbers
B.
𝑥≥0
C.
𝑦≥0
D.
𝑦≤0
12. (A.2A)
Functions and Sequences
Which graphs are functions(more than
one answer)?
13. (A.12A)
9.
(A.2A) Which situation is NOT discrete data
(It is continuous)?
A.
The number of problems you have
for homework.
A.
B.
The number of pages in a
dictionary.
C.
week.
The temperatures throughout the
D.
The numbers ofTV’s in your house.
B.
A storm is headed through North Texas.
The duration of the storm is measured in hours
while the rainfall is measured in inches as seen
in the table below.
Duration of the
1
2
3
storm (hrs), 𝒙
10. (A.2A)
Amount of rain
(inches), 𝒚
2.5
5
7.5
What would the range be for this scenario?
A.
B.
C.
D.
C.
𝑦 = {2.5,5,7.5}
𝑦 ≥ 2.5
𝑦≥0
𝑦 ≤ 7.5
What would the domain be for this
scenario?
A.
𝑥 = {1,2,3, }
B.
𝑥≥1
C.
𝑥≥0
D.
𝑥≤3
11. (A.2A)
D.
Algebra 1 – Fall Midterm Review
Evaluate 𝑓(𝑥) = −3𝑥 + 9 for
𝑓(−5) 𝑎𝑛𝑑 𝑓(1).
14. (A.12B)
A.
B.
19.
x
1
2
3
4
−3,9
0,9
−5,1
24,6
C.
D.
20.
2
22
28
46
y
25
45
65
85
Record your answer and fill in the bubbles on
the answer document.
Find the 20th term of the sequence
defined by the given rule: f(1) = 8, f(n)=f(n - 1) + 2
15. (A.12C)
A.
B.
C.
D.
(A.3B) Below is how a table of Joe’s earnings.
How much does he make per hour?
The following represents the graph for a
helium balloon’s flight. Determine the rate of
change of the graph.
(A.3B)
the sequence −4, −2, 0, 2 . . . . .
What is the function rule?
16. (A.12D)Tai wrote
𝑓(𝑛) = 2𝑛 − 6
𝑓(𝑛) = −4𝑛
𝑓(𝑛) = 2𝑛
D.
𝑓(𝑛) = 6𝑛 − 2
Slope and Rate of Change
A.
B.
C.
A.
B.
C.
D.
Determine the slope of the line
represented by the table below.
17. (A.3A)
x
y
−5
−23
−2
−11
−1
−7
0
−3
A.
−4
B.
1
4
C.
D.
Graphs and Transformations
21.
Which is the equation of the line
graphed below?
(A.2C)
4
−12
A plane is descending from 30,500 feet at
a speed of 3500 feet per minutes.
What is the rate of change?
18. (A.3B)
A.
B.
1 mile per hour
40 miles per hour
.5 mile per hour
40 hour per mile
Rate of change is 30,500 feet.
Rate of change is 3500 feet per
minute.
C.
Rate of change is 3500 feet
D. Rate of change is 3500 minutes.
A.
B.
C.
D.
−2𝑥 + 𝑦 = 2
2𝑥 − 𝑦 = −2
𝑥 + 2𝑦 = 4
𝑥 − 2𝑦 = 4
Algebra 1 – Fall Midterm Review
22.
Which line represents the equation
−3𝑥 − 2𝑦 = 4?
(A.3C)
A.
C.
25.
B.
The graph of the linear equation
𝑦 = 2𝑥 − 2 is shown below. What would the
zero be?
(A.3C)
A.
B.
C.
D.
D.
26.
(A.3A)
23. (A.3C) Determine the 𝑥 − and 𝑦 − intercepts
from the following equation: −2𝑥 + 2𝑦 = −4
A.
B.
C.
D.
(-2, 0) and (0, -2)
(2, 0) and (0, -2)
(2, 0) and (0, 2)
(-2, 0) and (0, 2)
27.
24. (A.3C) A submarine is 30,000 feet below the sea
level, it begins ascending at the rate of 40 feet per
hour. Assume the submarine continues at the
same rate of ascent. The submarines height and
minutes below the ground are related to
Each other. What does the 𝑥 −intercept
represent in this situation?
A. The height below the surface of the
submarine
B. The miles per hour the submarine is
surfacing.
C. The rate of ascent of thesubmarine.
D. The time it takes the submarine to
surface.
(A.3E)
(0, -2)
(-2, 0)
(1, 0)
(0,1)
Given: 3𝑥 − 𝑦 = −1, what is the slope?
1
3
A.
𝑚=−
B.
𝑚=3
C.
𝑚=3
D.
𝑚 = −3
1
Below is the linear parent function.
What will happen to the line if the slope is
tripled?
A.
It will move up 3 units.
B.
It will move down 3 units.
C.
It will become less steep.
D.
It will become steeper.
Writing Equations
28.
Write the equation of the line containing
point (5, −3) 𝑎𝑛𝑑 𝑎 𝑠𝑙𝑜𝑝𝑒 𝑜𝑓 2.
(A.2B)
A.
B.
C.
D.
𝑦 – 5 = − 3(𝑥 – 2)
𝑦 + 3 = 2(x – 5)
𝑦 = 2𝑥 − 12
𝑦 – 5 = 2(𝑥 + 3)
Algebra 1 – Fall Midterm Review
29.
Natasha and her friends go out for yogurt.
They decide to create their own yogurt, which
costs 3 plus $.50 per topping. If 𝑥 represents the
number of toppings on the yogurt, then which
equation describes 𝑦, the total cost for the yogurt?
(A.2C)
𝑦 = .5 + 3𝑥
𝑦 = 3 + .5𝑥
𝑥 = .5𝑦 + 3
𝑦 = 8.50𝑥
A.
B.
C.
D.
30.
(A.2C)
Which equation creates the table below?
Question
3
6
9
12
8.
y
3
4
5
6
9.
10.
11.
12.
31.
(A.2C)
B.
𝑦 = 3𝑥 + 2
C.
𝑦 = 𝑥+2
D.
𝑦 = + 2𝑥
1
3
1
3
Write the equation for the line below.
A.
B.
32.
𝑦 = 2𝑥 + 3
1
𝑦 = 2𝑥 + 1
1
𝑦 = −2𝑥 + 1
C.
𝑦 = −2𝑥 + 1
D.
𝑦 = 2𝑥 + 1
In an equation, 𝑦 varies directly with 𝑥.
If 𝑥 = 7when 𝑦 = 21, what is the value of 𝑥
when 𝑦 = 30?
(A.2D)
Record your answer and fill in the bubbles on
the answer document.
TEK
Solve Equations and Inequalities
1.
C
5A
2.
A
5A
3.
B
5A
4.
a
5A
5.
B
5B
6.
D
12E
Domain and Range
7.
A
2A
x
A.
Answer
D
2A
C
2A
C
2A
C
2A
C
2A
Functions and Sequences
13.
ABD
12A
14.
D
12B
15.
D
12C
16.
A
12D
Slope and Rate of Change
17.
C
3A
18.
B
3B
19.
20 (grid)
3B
20.
B
3B
Graphs and Transformations
21.
D
2C
22.
C
3C
23.
B
3C
24.
D
3C
25.
C
3C
26.
B
3A
27.
D
3E
Writing Equations
28.
B
2B
29.
B
2C
30.
C
2C
31.
C
2C
32.
10 (grid)
2D
Algebra 1 – Fall Midterm Review
ANSWER KEY