Algebra I – Unit 1: Pre-Test – Answer Key
Name:
Date:
1. When 2 x 2  3 x  2 is subtracted from 4 x 2  5 x  2 , the result is
A.
C.
2 x 2  2 x
2 x 2  8 x  4
B.
2x2  2x
D.
2 x2  8x  4
2. Which expression is equivalent to b(x – 1) + a(–x + 1)?
A.
B.
(b – a)x
(b – a)(x – 1)
C.
D.
(b + a)x – b + a
(b – a)x + b + a
A-SSE.A.2
EAGLE
B
4x + y + 7
7x – 2y + 7
A-APR.A.1
EAGLE
C
3. Simplify: (3y + 7) – (–4x + 2y) =
A.
B.
–4x + 5y + 7
4x + 5y + 7
C.
D.
4. Jamie is measuring the growth of a bean plant in her garden. On the first
day, the plant is 2.5 inches tall. On the fourth day, it is 7 inches tall, and on
the ninth day, it is 14.5 inches tall. What will be the height of Jamie’s plant on
the twenty-first day if it continues to grow at the same rate?
A.
B.
29.5 inches
31 inches
C.
D.
A-SSE.A.1
B
32.5 inches
34 inches
5. Write an exponential function that models the data in the table.
x
0
1
2
3
4
y
6
18
54
162
486
A-CED.A.1
EAGLE
C
A-CED.A.2
y  6(3) x
6. Richard owns a restaurant. He needs to buy at least 300 glasses. Tall glasses
cost $2.50. Short glasses cost $2.10. He can spend at most $670.
Which system of inequalities can Richard use to find the possible numbers of
tall glasses, t, and short glasses, s, he can buy?
A.
t  s  300
C.
t  s  300
B.
2.5t  2.1s  670
t  s  670
D.
2.5t  2.1s  670
t  s  670
2.5t  2.1s  300
2.5t  2.1s  300
A-CED.A.3
C
7. Brianna is trying to find the height of a container whose formula for volume
is:
1
V  bh
3
Which equation is correctly solved for h?
A.
1
h V  b
3
C.
B.
h  3V  b
D.
3V
h
b
h
A-CED.A.4
C
V
3b
8. Ben solved an equation as shown below.
Equation:
Step 1:
Step 2:
Step 3:
Step 4:
2(–3x + 1) = 9x – 8
–6x + 2 = 9x – 8
–6x + 9x = –8 + 2
3x = –6
x = –2
What mistake did Ben make in solving the equation?
A.
B.
C.
D.
In
In
In
In
Step
Step
Step
Step
1,
2,
3,
4,
Ben
Ben
Ben
Ben
did not distribute the 2 correctly.
did not maintain the equality of the equation.
made an error adding positive and negative numbers.
did not divide correctly.
9. Solve for a:
A-REI.B.3
A
10 - 5  ja - 9
A.
14
a
j
C.
14  j  a
B.
4
a
j
D.
4  j  a
10. Solve this system of equations using elimination. State the solution.
4 x  5 y  40
2x  3 y  9
A-REI.A.1
EAGLE
B
A-REI.C.5
 15 , 2 


 2

11. Which of the following are a solution to this system of equations?
2 x  3 y  4
x  2 y  3
A.
 -17 2 
 7 ,7


B.
C.
 17 19 
 7 , 7 


D.
 17 2 
 7 ,7


E.
1 2
7,7


F.
No Solution
 -23 -1 
 7 ,7


12. If a graph for our equation shows that the line doesn't pass through a certain
point than we can assume that:
A.
B.
C.
D.
The equation, when solved for that point, will be true
The equation, when solved for that point, will be false
The equation, when solved for that point, will be neither true nor false
None of the above
13. Which of the following ordered pairs (x, y) are solutions to the equation
4x – y ≤ 10 ?
A.
B.
C.
D.
(3, 2)
(2, 3)
(-1, -14)
(0, 0)
E.
F.
G.
H.
(1,
(5,
(0,
(3,
-6)
10)
-10)
4)
A-REI.C.6
A and D
AREI.D.10
B
AREI.D.12
A, B, C, D,
E, F, G, H
14. Mr. Garrison is making plans to travel from New Orleans to Pensacola, which is
a 200 mile trip. His gas tank holds x gallons of gas and he gets 16 miles per
gallon. He wants to determine if he can make it to Pensacola on a full tank of
gas.
Show the calculation he should perform to determine how many gallons of gas
he will need to make the trip to Pensacola. All units must be specified in every
step of your work.
N-Q.A.1
See
answer
in the
red box
to the
left.
If his tanks holds 12 gallons of gas, explain why one tank of gas will or will not
get him to Pensacola.
a.
 16miles 
 gallon  ( x)  200miles


 16miles 
 gallon  ( x )
200 g



 16miles 
 16miles 
 gallon 
 gallon 




x
x
200 miles
 16 miles 
 gallon 


200miles  gallon 
 16miles 
1


x  12.5gallons
b. One tank of gas will not get Mr. Garrison from New Orleans to Pensacola
since he needs 12.5 gallons and his tank will only hold 12 gallons.
15. Walter has decided to drive from Long Island New York to Orlando to visit his
family. He knows the trip is about 1,000 miles. About how many hours can he
expect to drive?
A.
B.
5
20
C.
D.
40
60
N-Q.A.2
B
16. Use the picture to answer the question.
Rosa measures 100 almonds using the ruler shown. Then she finds the mean
length of the almonds.
Which unit is the most appropriate place value for her to report the mean, given
the accuracy of her measuring tool?
A.
B.
C.
D.
centimeter
tenth of a centimeter
hundredth of a centimeter
thousandth of a centimeter
N-Q.A.3
EAGLE
B