Spring 2017 Math 1 Midterm Review
Name:_________________________
Page 1
----------------------------------------------------------------------------1. Which expression is equivalent to: x2 – 16
F.IF.8
A (x + 2)(x – 8)
B (x + 4)(x – 4)
C (x +8)(x – 8)
D (x – 4)(x – 4)
2. Which expression is equivalent to: x2 – 11x + 24
F.IF.8
A (x + 2)(x – 14)
B (x – 7)(x – 4)
C (x – 8)(x – 3)
D (x – 2)(x – 14)
7 . The floor of a rectangular cage has a length 4
feet greater than its width. Then James
increases both dimensions of the floor by 2 feet.
Which equation represents the area of the floor
of the cage with the increases? F.IF.8
A w2 + 6w
C w2 + 8w + 12
8. What is the smallest of 3 consecutive positive
integers if the product of the smaller two
integers is 5 less than 5 times the larger integer?
F.IF.8
A -5
C 5
3. Which expression is equivalent to:
-5x2 – 10x + 120
F.IF.8
A -5(x – 4)(x + 6)
B 5(x – 12)(x – 10)
C (5x – 30)(x – 4)
D -5(x + 8)(x – 3)
B w2 + 8w
D w2 + 10w + 16
B -1
D 1
9. Find the y-intercept of: y = 3x2 + 12x +16
F.IF.7
A (0, 12)
C (0, -5)
B (0, 6)
D (0, 3)
10. Find the vertex of : y = x2 – 4x + 4 F.IF.7
2
4. Factor the following trinomial: x + 10x + 25
F.IF.8
A (x – 5)(x + 5)
B (x – 5)2
C (x + 5)2
D Can’t be factored
5. The area of a rectangle is 12x2 -21x -6 which of
the following could be a length of the rectangle?
F.IF.8
A 4x -1
B 9x+1
C x-2
D 12x – 18
6. What are the factor pairs of the following
expression 𝑥 2 + 9 F.IF.8
A
B
C
D
(x + 2) (x + 2) (x – 6)
(x + 2) (x – 3) (x – 4)
Prime
(x2 +4)(x – 6)
A (0, 2)
C (-5, 25)
B (-10, 15)
D (2, 0)
11. Find the roots of: y = x2 -13x + 36 A.SSE.3
A 9 and 4
C -9 and -4
B 6 and -6
D No Roots
12. Determine if the equation has a maximum or
minimum value and state that value.
f(x) = x2 – 6x + 13
F.IF.7
13. Which of the following equations will have
exactly 1 real root? A.SSE.3
A x2 – 6x + 9
C 2x2 + 5x – 16
B x2- 6x -9
D 4x2 – 8x + 4
Spring 2017 Math 1 Midterm Review
Name:_________________________
Page 2
----------------------------------------------------------------------------14. An object is launched directly upward at 160
feet per second (ft/s) from the ground. The
equation for the object's height h at time t
seconds after launch is h = –16t2 + 160t
What will be the object's maximum height?
When will it attain this height? F.IF.7
19. A piggy bank contains nickels and dimes.
There are 25 coins that total $1.65. How many of
each coin are in the piggy bank?
20. Describe the correlation for the graph below as
positive or negative and strong or weak S.ID.1
15. Erica launches a model rocket into the air at
time t. The equation y= -16t2+ 256t can be
used to model the path of the rocket. At about
what time does the rocket hit the ground?
A.SSE.3
16. Simplify: (4x + 5)2
APR.1
21. Solve the equation for y: ax + y = c
REI. B3
17. Simplify 6x3 – 3x2 + 15x ?
3x2
APR.1
18. Determine which point is a solution to the
22. The sum of three consecutive odd integers is
99. What is the value of the largest integer?
A.CED.2
system of inequalities by graphing. REI.6
y  3
𝑦 <
2
3
23. The Math Club sells hot dogs and hamburgers at
the football games. A.REI.6
 3 hot dogs and 2 hamburgers will sell for
$8.
 2 hot dogs and 3 hamburgers will sell for
$8.25.
How much does each hamburger sell for?
𝑥 +5
24. Find the area of the shaded region. APR.1
A (-6, 4)
C No solution
B (3, 7)
D (5, 6)
5x + 12
2x -6
2x
3x - 2
Spring 2017 Math 1 Midterm Review
Name:_________________________
Page 3
----------------------------------------------------------------------------25. Two times Ashley’s age plus four times Bill’s
age is 42. Ashley is also one year older than
three times Bill’s age. How old is Ashley?
A.REI.6
31. Simplify: (2x + 3) (x – 3) A.APR.1
26. Complete the table using the following
information. Tom spent 4 minutes more than
1
the
3
time James spent taking a test. A.CED.2
James’
Time
(minutes)
12
18
24
30
36
Tom’s Time
(minutes)
27. Use substitution to solve the system of
equations given below. A.REI.6
y = 3x
5x - y = -20
28. A region is defined by the following system of
inequalities.
2x + 2y > -4
2x – 3y ≥ 6
In which quadrants of the coordinate plane is the
solution located? A.REI.12
29. Write the inequality for each graph. A.REI.12
30. Simplify the expression: A.APR.1
3(4a + 2b – c) – 3(5a – b – 2c)
32. The fishing club plans to rent a large boat for a
group fishing trip. The cost will be $325.00,
plus $30.00 for each hour (h) the boat is used.
Which expression models the total cost (c) of
renting the boat? A.CED.1
33. Use the following table to answer the question:
NUMBER OF
PEOPLE AT
THE ART
SHOW
0
15
10
30
20
45
30
60
How many people will be at the art show one
hour after is starts? S.ID.6
TIME IN
MINUTES
34. Solve for y: 6 − 3𝑦 ≤ 21
S.ID.5
35. Evaluate f(-2) when f(x) = x2 - 7x + 12
F.IF.2