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.