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Name________________________________________________ Date_______________________________
7th Math Final Exam Part II
1) A cave explorer climbed from an elevation of -11 meters to an elevation of -5 meters. What vertical distance did the explorer climb?
a) – 6 meters b) 6 meters c) – 16 meters d) 16 meters
2) Which of the following is an example of a number and its additive inverse?
a) 5 + |5| = 0 b) 5 + -5 = 0 c) 5 + |-5| = 0 d) 5 + |-5| > 0
3) Simplify the following expression:
-5x2 + 4 – 8x + x2 – 2 + 3x
a) -4x2 + 2 – 5x b) -6x2 – 2 – 5x c) 25x2 + 2 – 5x d) -4x2 + 2 – 11x
4) Use the expression below to answer the question.
20 + 8y – 9y – 21
Which expression is equivalent?
a) 2(10 + 4y – 7y – 19)
b) 2(10 + 4y) – 3(3y – 7)
c) 4(5 + 2y – 5y – 17)
d) 4(5 + 2y) – 3(3y + 7)
5) Which of the following is an example of the rule
about the sign of the quotient of two numbers?
a) –(
) =
=
b) –(
) =
=
c)
=
=
d) –(
) =
=
6) What equation can be written showing the
relationship between time and length based on the
graph below?
a) y = 1.5x b) y = 2x c) y = 0.5x d) y = 3x
7) Which of the following is a true statement?
a) In the algebraic equation, y =
x, the constant
of proportionality is
.
b) A proportional relationship can be presented by a graph that contains the points (0, 2) and (1, 4).
c) The equation, y=3x runs through the points, (3,9) and (4,16).
d) Constant of proportionality is found on a graph by dividing the X value by the Y value.
Name____________________________________________ Date________________________________
7th Math 1st Quarter Final Exam
8) John walks at the rate of 2 miles in
hour. What is
his unit rate?
a) 1.6 mi/hr. b) 2.5 mi/hr. c) 0.4 mi/hr. d) 6 mi/hr.
9) The prices for various numbers of pounds of
apples at several stores are shown in the table
below.
For which store would 7 pounds of apples cost
exactly $13.23?
a) Jerri’s Fresh Produce b) Parson’s Market c) Carol’s Apple Orchard d) Ed’s Green Grocery
10) A sloth was watching a turtle move one day. The
sloth noticed it took the turtle
of an hour just to
travel
of a meter. At this rate, how far can the
turtle go in 3 hours?
a)
meter
b) 1
meters
c) 2 meters
d) 4
meters
11) What is the constant of proportionality in the
graph shown below?
a) k =
b) k = 1½ c) k = ½ d) k = 2
12) Mr. Richard changed his showerhead to conserve water and energy. The table below shows the relationship between the amount of flow and the duration of the water flow.
Which statement best describes the rate of water flow?
a) 0.4 gallons per minute b) 0.4 minutes per gallon c) 2.1 gallons per minute d) 2.5 gallons per minute e) 2.5 minutes per gallon
13) The following list shows the ingredients needed to make 1 loaf of Ms. Abell’s famous banana bread.
Ms. Abell has a bunch of leftover bananas and she wants to modify the recipe so she can use 7 cups of mashed overripe bananas. Based on this information, how many cups of flour will she need to complete the recipe and keep the ingredients proportional?
a) 3 cups b) 3½ cups c) 6 cups d) 6½ cups
14) Line KN represents a proportional relationship.
Point N lies at (18, 12), as shown on the graph below.
Which ordered pair could represent the coordinates of
point K?
a) (6, 9) b) (2, 3) c) (1.5, 1) d) (2, 9) e) (9, 7)
15) Which table represents a proportional relationship?
a)
b)
c)
d) 16) One of the highest snowfall rates ever recorded was in Silver Lake, Colorado, in April 1921, when just
over 7 feet of snow fell in 27
hours. What was that
rate in feet per hour?
a)
ft/hr
b) 192
ft/hr
c) 3
ft/hr
d)
ft/hr
17) Which is a simplified version of the following expression?
3y – [2y + 6(-2y +4)]
a) -13y + 24 b) -11y + 24 c) 13y – 24 d) 13y + 24
Banana Bread
2 cups flour
1 teaspoon baking soda
¼ teaspoon salt
½ cup butter
¾ cup brown sugar
2 eggs, beaten
2⅓ cups mashed overripe bananas
18) In which of these situations would the answer
be 0?
a) Teddy jumped into a pool from a diving board 8
feet above the water. He sank 8 feet and then swam
straight up to the surface of the water. How many
feet did Teddy swim?
b) Jerry left his house and walked 1.5 miles directly
west. Then he walked 1.5 miles directly east. At this
point, how many miles was Jerry from his house?
c) A trail begins at an elevation of -50 feet. The trail
ends at an elevation of 50 feet. The trail ends at an
elevation of 50 feet. By how many feet does the
elevation of the trail change from beginning to end?
d) The low temperature one day was -3 degrees
Celsius. The high temperature that day was 3
degrees Celsius. What is the difference between the
low temperature and the high temperature?
19) A UPS driver drove 76 miles in 1
hours. How
many miles can the driver go in 19 hours?
a) 60.8 miles
b) 1,805 miles
c) 1,155.2 miles
d) 753.50 miles
20) The numbers -9.7 and 6.2 are shown on the number line below. What is the distance between the two points?
a) 15.9 b) 3.5 c) -15.9 d) -3.5
21) The graph below shows the price Joanna sells
tomatoes according to their weight. Write an
equation for the graph.
a)
b)
c)
d)
22) Solve for x.
x = -5
- (7
)
a) 2
b) -13
c) 13
d) -2
23) Simplify the following expression:
½(14g + 32v) – 10(g – 7)
a) -3g + 32v + 7 b) 3g +16v -7 c) -3g + 16v + 70 d) -3g + 16v - 70
24) Simplify the following expression:
(6c + 9) – (8c – 5)
a) -4c + 1 b) 12c + 1 c) -4c +11 d) -12c - 1
25) Which expressions are equivalent
to -3 – (7.5 + 4) ? Select all that apply.
a) (7.5 + 4) – 3 b) –(7.5 + 4) – 3 c) –(7.5 + 4) + 3 d) -3 – (4 + 7.5) e) -3 + (-7.5 – 4)
26) A train traveled
of the distance between two
cities in
hour. At this rate, how many hours will it
take the train to travel the entire distance between
these two cities?
a)
b)
c) 3
d) 6
27) Which of the following are equivalent
expressions? Select all that apply.
A.) –(
)
B.)
C.)
D.)
28) Three friends are comparing the amount of
money they have. Chris has $12 more than Pedro.
Lisa has 5 times as much money as Chris. If Lisa has
$90, how much money does Pedro have?
A.) $2.50
B.) $6.00
C.) $15.60
D.) $30.00
29) Solve for x.
(x – 9) – 6 = -12
a.) x=0
b.) x=4.5
c.) x=-4.5
d.) x=40.5
30) Simplify.
– (-
)
a.) -
b.) 1
c.) 1
d.) 2
31) Solve for x.
9 – x = -16
a.) x=-7
b.) x=25
c.) x= -25
d.) x=7
32) Solve for x.
–(-x - 9) + 9x= -1
a.) x=-1
b.) x=
c.) x=1
d.) x= -1
33) Solve for x.
0.5(2x + 10) - 6x=10
a.)x=1
b.) x=0
c.) x=-1
d.) x=-3
34) Simplify.
- + (-24
)
a.) -23
b.) 24
c.) -25
d.) 23
35) Katie is making cookies. The number of
tablespoons that she uses is proportional to the
number of cookies she makes. Katie uses 17
to
make 10 cookies. Which equation represents the
relationship between s, the number of tablespoons
of sugar Katie uses, and c, the number of cookies she
makes?
a) s=
c
b) s= 1
c
c) s= 2
c
d) s= 17
c
36) A number line is shown below. It is drawn to scale. The numbers 0 and 1 are marked on the line, as are two other numbers, a and b.
Based on the values on the above number line, which expression below is not negative?
a) –b b) a+b c) ab + 1 d) a - 2
37) Which set contains only rational numbers?
a) –2, , –
, 0.3
b)
, -5.769, ,
c) 1,
, –15.23,
d)
, ,
, -42.5, 0.1
38) A sugar-water solution freezes at -1.8°C. A saltwater solution freezes at -13.6°C. What is the difference between the freezing temperatures of the solutions?
a) 15.4° b) 11.8° c) 12.2° d) 31.6°
39) Which expressions have products that are positive? Select all that apply.
a) (-5)(0.2)(-9)
b) (
)(
)( -
)
c) (6)(-3)(8)(-7)
d) (-4
)(-
)(-5
)(-
)
e) (
)(-10)(3
)(2)
f) (-1.2)(-3.5(2.7)(-0.8)
40) The graph below shows the speed of a subway
car. Which equation represents the graph?
a) y = 2x
b) y =
x
c) y = 3x
d) y =
x
41) Find the quotient.
4
÷ (-1
)
a) -3
b) 3
c) -7
d) 7
42) Solve for y.
20 = 4(
y – 3)
a) y=11
b) y= 11.5
c) y= 16
d) y= -11
43) Solve for h.
9 = 10 + 4h – 8h – 3
a.) h= 0.5
b.) h=2
c.) h= - 0.5
d.) h= -2
44) Solve for c.
c -
=
a) 6 b) 5
c) 3
d) 3
45) Solve for x.
– 6 = -1
a) x=35
b) x= -49
c) x=1
d) x= -35
46) Which equation has -4 as a solution?
a) 9z = 36 c) z +9 = 5
b) -
= -9 d) z – 9 = -5
47) A newspaper reports these changes in the price
of a stock over four days:
,
,
,
. What is the
average daily change?
a)
b) -9
c)
d)
48) Simplify the following expression.
2(10 + 4y) – 3(3y – 7)
a) 41 + 17y b) 13 - y c) -1 - y d) 41 – y
49) If
of a pound of candy costs $15.50, how much
would 2 pounds of the same candy cost?
a) $23.25
b) $12.50
c) $46.50
d) $20.00
50) Glenn and Martha run track for their school. Glenn can run ¾ lap in 1 minute. The graph below shows the number of laps Martha can run over time.
Glenn and Martha decide to run a 20-lap race. If Glenn’s and Martha’s running rates remain constant for all 20 laps, which pair of statements about the race is correct?
a) Martha will win the race. She runs at a pace
that is
lap per minute faster than Glenn.
b) Martha will win the race. She runs at a pace
that is
lap per minute faster than Glenn.
c) Glenn will win the race. He runs at a pace
that is
lap per minute faster than Martha.
d) Glenn will win the race. He runs at a pace
that is
lap per minute faster than Martha.