Free Printable Unit 1: Ratios and Proportional Reasoning

1.

If Kennedee makes 14 points in 2 games how many points will she make in 5 games?

a)

28 points

b)

7 points

c)

35 points

d)

70 points

2.

What is the correct next step when using the cross product method on this problem?

\frac{1}{2}=\ \frac{5}{10}

a)

1(10) = 2(5)

b)

1(5) = 2(10)

c)

1(2) = 5(10)

3.

Solve the proportion for X.

\frac{36}{9}=\frac{x}{3}

a)

2

b)

4

c)

13

d)

12

4.

Is the following equation a proportion or not? (Proportions have two equivalent ratios)

\frac{2}{3}=\frac{4}{6}

a)

Proportion

b)

Not a proportion

5.

Identify what $m$ must equal to form a proportion:
$\frac{3}{m}=\frac{12}{36}$

a)

36

b)

4

c)

9

d)

1

6.

If Justin can type 408 words in 4 minutes, how many words can he type per minute?

a)

102 words per minute

b)

100 words per minute

c)

400 words per minute

d)

412 words per minute

7.

You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

a)

$8 per pound

b)

$5 per pound

c)

$35 per pound

d)

0.125 pounds per dollar

8.

Find the value of x.

4 lines

9.

Find the value of x in the table.

4 lines

10.

$\frac{12}{3.6}=\frac{16.666}{5}$ Identify whether the equation is a proportional relationship.

a)

Yes

b)

No

c)

Cannot be determined

11.

Mavrik eats 14 bites of watermelon in 36 seconds. At this rate, how many bites will he have in 45 seconds?

4 lines

12.

Walker plays 5 games in 2 days, at this rate how many games will he play in 2 weeks?

a)

35 games

b)

5 games

c)

10 games

d)

20 games

13.

Which of the following represents direct variation?

a)

y = kx

b)

y = k/x

c)

y = x/k

d)

y = mx + b

14.

Write an equation for this relationship.

a)

y=4x

b)

y=1/8x

c)

y=1/4x

d)

y=8x

15.

Is the given table a direct variation? If so, what is the constant?

a)

Yes; 1/4

b)

Yes; 4

c)

Yes; 2

d)

No

16.

Is this a direct variation?
y=2x

a)

yes

b)

no

17.

Is this proportional?

a)

yes

b)

no

18.

Is this proportional?

a)

yes

b)

no

19.

Which of the given graphs is a direct variation?

a)

A

b)

B

c)

C

d)

D

20.

What ordered pair does a direct variation always go through when graphed?

a)

(0, 0)

b)

(1, 0)

c)

(0, 1)

d)

(1, 1)

21.

What is the constant of proportionality (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

22.

Determine the type of variation:

a)

Direct

b)

Inverse

c)

Neither

23.

Which of the following represents inverse variation?

a)

y = kx

b)

y = k/x

c)

y = x/k

d)

y = mx + b

24.

Assume y varies inversely with x. If x=7 when y=4, what is y when x=2 ?

a)

4

b)

14

c)

7

d)

28

25.

Quantity of petrol in litres and its cost. This is related to

a)

Direct variation

b)

Inverse Variation

26.

The marks in study is ______ proportional to hardworking.

a)

Directly

b)

Inversely

27.

The number of mistake in work is ________ proportional to practice.

a)

Inversely

b)

Directly

28.

The bank balance is directly proportional to amount of saving.

a)

True

b)

False

29.

x and y vary inversely. Given (5, 20), what is the constant k?

a)

4

b)

5

c)

25

d)

100

30.

Does the equation show an inverse variation?
y=10/x

a)

yes

b)

no

31.

What type of relationship is a direct variation.

a)

proportional

b)

non-proportional

32.

What does "k" stand for in the direct variation equation?

a)

constant of equality

b)

constant of proportionality

c)

constant of non-proportionality

33.

What is another name for constant of proportionality?

a)

constant of non-proportionality

b)

constant of equality

c)

constant of variation

34.

Which of the following is the equation format for direct variation?

a)

y = mx + b

b)

y = kx

c)

k = $\frac{y}{x}$

35.

What is the equation to find "k", the constant of proportionality?

a)

k = $\frac{y}{x}$

b)

y = kx

c)

y = mx + b

d)

k = $\frac{x}{y}$

36.

The phrase "y varies directly with x" means a relationship is a direct variation.

a)

True

b)

False

37.

If there is no constant of proportionality, k, then the relationship is NOT a direct variation.

a)

True

b)

False

38.

Is the relationship in the table a direct variation?

a)

Yes

b)

No

39.

Is the relationship in the table a direct variation?

a)

Yes

b)

No

40.

Determine if there is a constant of proportionality, k.

If there is a k, what is it?

a)

There is no k

b)

k = $\frac{1}{8}$

c)

k = 8

41.

What is the equation for the given relationship in the table?

a)

$y\ =\ 8x$

b)

y = $\frac{1}{8}x$

c)

$y\ =\ 8x\ +\ 3$

d)

$y\ =\ \frac{1}{8}x\ +\ 3$

42.

Does the graph show a direct variation?

a)

Yes

b)

No

43.

What is the equation for the given graph?

a)

$y\ =\ \frac{1}{30}x$

b)

$y\ =\ 30x$

44.

Does the given graph show a direct variation?

a)

Yes

b)

No

45.

What is the equation for the given graph?

a)

$y\ =\ \frac{1}{60}x$

b)

$y\ =\ 60x$

46.

Does the given graph show a direct variation?

a)

Yes

b)

No

47.

Find the slope:

a)

$\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$\frac{1}{4}$

d)

$\frac{3}{1}$

48.

Find the slope of the line.

a)

2

b)

$\frac{4}{1}$

c)

$\frac{3}{1}$

d)

$\frac{1}{2}$

49.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

50.

a)

1/6

b)

1

c)

-1/6

d)

-1

51.

a)

1/-2

b)

5/14

c)

1/2

d)

-1/2

52.

Find the slope of the line that goes through the points (−11,−5) and (1,−12)

1. Write (-11, -5) and (1, -12) on your desk.

2. Label them x1 y1 x2 y2

3. Put numbers in the right places in the formula

4. Simplify

a)

$-\frac{5}{8}$

b)

$\frac{16}{11}$

c)

$\frac{1}{6}$

d)

$-\frac{7}{12}$

53.

Find the slope of the line that goes through the points

(−1,−2) and (−3,−4).

a)

1

b)

2

c)

3

d)

4

54.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

55.

Find the slope given the points (2, −7) and (−1, 6).

a)

-13/3

b)

13/3

c)

0

d)

2/3

56.

What is the constant of proportionality for this table?

a)

$1/9 per hour

b)

$9 per hour

c)

$8 per hour

d)

$18 per hour

57.

What is the constant of proportionality for the following graph?

a)

80

b)

20

c)

40

d)

160

58.

Does this graph show a proportional relationship?

a)

Yes

b)

No

59.

What makes a graph proportional?

a)

Linear (straight line), that does NOT go through the origin.

b)

A straight line (linear) that goes through the origin

60.

What is the ordered pair that represents the unit rate?

a)

(1, 15)

b)

(15, 1)

c)

(4, 60)

61.

Does this graph show a proportional relationship?

a)

Yes

b)

No

c)

Sometimes

62.

Which graph shows a proportional relationship?

a)

b)

c)

d)

63.

Which tables and graphs show a proportional relationship?

a)

A,C,F

b)

B,D,E

c)

B,C,F

d)

A,B,D

64.

Which table shows a proportional relationship between the distances on a map and the actual distances?

a)

b)

c)

d)

65.

Albert wants to buy some pens. He compares 4 different packs of pens. Which two packs of pens have the same cost per pen?

a)

Packs 1 and 2

b)

Packs 1 and 3

c)

Packs 2 and 4

d)

Packs 1 and 4

66.

What is the constant of proportionality for the line on the graph below?

a)

2

b)

1

c)

-1

d)

$\frac{1}{2}$

67.

The graph shows the distance a train travels over time. How fast is the train traveling?

a)

25 miles per hour

b)

90 miles per hour

c)

50 miles per hour

d)

45 miles per hour

68.

The table shows how much a store charges for a certain number of bananas. Which equation could be used to find cost, c, of any number of bananas, b?

a)

c = $0.09b

b)

c = $0.19b

c)

c = $0.38b

d)

c = $0.57b

69.

Use the table to write an equation that relates lunch cost L and number of riders n.

a)

L = $0.50n

b)

L = $4.00n

c)

L = $6.00n

d)

L = $8.00n

70.

Determine the constant of proportionality for the table. Express your answer as y = kx

a)

y = 1/2x

b)

x = 1/2y

c)

y = 2x

d)

k = x

71.

k represents

a)

the constant of proportionality

b)

the king

c)

ketchup

d)

a strikeout

72.

Which equation matches the constant of proportionality?

a)

x = y

b)

y = x

c)

y = kx

d)

l x w

73.

Select ALL equations that are proportional.

a)

y = 3x

b)

y = 25x

c)

y = 7x

d)

y = 2x - 1

e)

y = 4000x

74.

The constant of proportionality can be found by finding the __________ _____________.

a)

unit rate

b)

ratio rate

c)

proportion answer

d)

rational number

75.

The constant of proportionality in the equation y = ½x is _______.

a)

x

b)

y

c)

1/2

d)

2

76.

Is this relationship proportional or non-proportional?

Joey started mowing yards this summer. He charges $10 for every yard he mows.

a)

Proportional

b)

Non-Proportional

77.

Is the relationship proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

78.

Is the relationship proportional or non-proportional?

Rachel just started learning how to type in her keycode class. Each week her words per minute increases by 3 words.

a)

Proportional

b)

Non-Proportional

79.

Is the relationship proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

80.

Is the relationship proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

81.

Is the relationship proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

82.

Is the relationship proportional or non-proportional?

Ross started mowing yards this summer. He charges an initial fee of $20 and then $5 for each yard he mows.

a)

Proportional

b)

Non-Proportional

83.

Is the relationship proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

84.

Is the relationship proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

85.

Is the relationship proportional or non-proportional?

Monica had to read 15 pages each. night for her English class. She has already read 5 pages before she gets home.

a)

Proportional

b)

Non-Proportional

86.

Is the relationship proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

87.

Is the relationship proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

88.

Is the relationship proportional or non-proportional?

Chandler ordered a pepperoni pizza from Larry's Pizza. The pizza cost $12. The delivery fee was $2.

a)

Proportional

b)

Non-Proportional

89.

How do you find a constant of proportionality?

(a)

90.

What is the constant of proportionality equation?

(a)

91.

One-sixth of a bag of bird seed fills a bird feeder of 1/2 its capacity. How many times will a bag of bird seed completely fill the feeder?

a)

2

b)

3

c)

6

d)

12

92.

Ally’s hair grew from $10\frac{3}{4}$ inches to $13\frac{1}{4}$ inches over 5 months. At what rate did Ally’s hair grow per month?

a)

$\frac{1}{2}inch$

b)

$\frac{7}{10}inch$

c)

$2\frac{1}{2}inches$

d)

$1\frac{1}{4}inches$

93.

A group of students and teachers are going on a field trip. One-ninth of the group will fit on $\frac{1}{3}$ of a school bus. How many buses are needed to transport the entire group?

a)

9 buses

b)

6 buses

c)

3 buses

d)

1 bus

94.

Susan used $9\frac{5}{8}$ kilowatts of electricity to power her house for $5\frac{1}{2}$ hours. On average, how many kilowatts did Susan use per hour?

a)

$\frac{4}{7}$

b)

$1\frac{2}{3}$

c)

$\frac{5}{8}$

d)

$1\frac{3}{4}$

95.

Stanley is having wood flooring installed in his living room. The installer has used $10\frac{1}{2}$ boxes of flooring on $\frac{2}{3}$ of the room. How many total boxes of flooring will be needed for Stanley’s living room?

a)

18

b)

16

c)

15

d)

11

96.

Jessie has a container that contains $18\frac{3}{4}$ cups of ice cream. How many $\frac{1}{3}$ - cup servings of ice cream are in the container?

a)

6

b)

48

c)

50

d)

56

97.

A certain laundry detergent recommends $\frac{1}{4}$ cup of detergent for a $\frac{1}{2}$ load of clothes. How much detergent is recommended for 4 loads of clothes?

a)

1 cup

b)

2 cups

c)

4 cups

d)

8 cups

98.

A hiker climbs a 5-mile trail up a mountain in 2 hours. On the return trip downhill, she walks the same trail and returns to her starting point in 1 hour. What was her average rate of speed, in miles per hour, for the entire trip?

a)

$\frac{3}{5}$

b)

$1\frac{2}{3}$

c)

$3\frac{1}{3}$

d)

$3\frac{1}{2}$

99.

Franco read $\frac{3}{8}$ of a chapter of his history book in $\frac{1}{5}$ of an hour. At this rate, how many chapters of his history book can he read in 1 hour?

a)

$\frac{3}{8}$

b)

$\frac{8}{15}$

c)

$1\frac{7}{15}$

d)

$1\frac{7}{8}$

100.

A pizza shop uses $\frac{1}{2}$ ounce of pepperoni for every $\frac{1}{4}$ of a large pizza. How much pepperoni does one large pizza have?

a)

$\frac{1}{8}ounce$

b)

$\frac{1}{2}ounce$

c)

1 ounce

d)

2 ounce

101.

When finding a UNIT RATE, you should __________ the top number by the bottom number.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

102.

6 movie tickets cost $30.00. What is the cost per ticket (unit rate)?

What will you do to find the unit rate?

a)

multiply by 6 to get $180 per ticket

b)

divide by 6 to get $5 per ticket

c)

multiply by 30 to get $900 per ticket

d)

divide by 30 to get $1 per ticket

103.

You've been ...

a)

Rick Rolled ... HAHAHA

b)

Forced to cringe ;P

104.

If a dozen bagels cost $8.40, what is the cost per bagel? (1 dozen = 12 bagels)

a)

$0.84

b)

$0.42

c)

$0.70

d)

$0.07

105.

What is the unit rate (in miles per hour) based on the table?

a)

45

b)

90

c)

135

d)

2

106.

Kim and Ben are planting a garden. Kim plants 24 flowers in 2 hours. Ben plants 33 flowers in 3 hours. Whose rate is faster?

a)

Kim's rate is faster at 12 flowers in 1 hour

b)

Ben's rate is faster at 11 flowers in 1 hour

c)

Kim's rate is faster at 6 flowers in 1 hour

d)

Ben's rate is faster at 3 flowers in 1 hour.

107.

Ann’s Bakery bakes 450 loaves of bread in 3 days. Mark’s Bakery bakes 560 loaves of bread in 4 days. Which bakery bakes bread at the faster rate?

a)

Ann's Bakery is faster at 150 loaves in 1 day

b)

Mark's Baker is faster at 140 loaves in 1 day

c)

Ann's Bakery is faster at 90 loaves in 1 day

d)

Mark's Bakery is faster at 70 loaves per day.

108.

Dave and Eric are painting a long fence. Dave paints 125 feet of the fence in 5 hours. Eric paints 175 feet in 7 hours. Whose rate is faster?

a)

Dave and Eric paint at the same rate.

b)

Eric paints faster at 25 feet per hour.

c)

Dave paints faster at 20 feet per hour.

d)

Neither Dave or Eric paint faster.

109.

You go to the grocery store to buy dog food. The store has three sizes available:

A 20-lb bag for $23.44

An 8-lb bag for $9.88

A 40-lb bag for $49.00

Which size bag has the lowest cost per pound rounded to the nearest cent?

a)

The 8-lb bag

b)

The 20-lb bag

c)

The 40-lb bag

d)

I have a cat

110.

Which is the better buy? A 12-pack of Pepsi for $3.50 or a 6-pack for $1.80?

a)

The 12-pack

b)

The 6-pack

c)

They're the same

d)

Neither, I prefer Coke

111.

Sarah wants to buy tomatoes, which is the best deal?
15 kg for $32.25
4 kg for $8.72

a)

15 kg for $32.25

b)

4 kg for $8.72

c)

Neither

112.

What is the best deal?
0.5 kg of rice at $1.80
5 kg of rice at $16.95

a)

0.5 kg of rice at $1.80

b)

5 kg of rice at $16.95

113.

Choose the best deal for buying oranges
$52.16 for 8 dozen
$33.77 for 5 dozen

a)

$52.16 for 8 dozen

b)

$33.77 for 5 dozen

c)

Neither

114.

Sarah wants to buy tomatoes, which is the best deal?
15 kg for $32.25
4 kg for $8.72

a)

15 kg for $32.25

b)

4 kg for $8.72

c)

Neither

115.

Sara Lee Turkey $6.58 per lb.
or
Butterball Turkey $11.16 for 2 lb.
Find the unit price of each and choose the better deal.

a)

Sara Lee

b)

Butterball

116.

$\left(-\frac{3}{4}\right)\times\frac{1}{8}=$

a)

$-\frac{3}{32}$

b)

$\frac{3}{32}$

c)

$\frac{4}{18}$

d)

$-\frac{4}{18}$

117.

$\frac{1}{2}\div\left(-\frac{2}{3}\right)=$

a)

$-\frac{3}{4}$

b)

$\frac{3}{4}$

c)

$\frac{2}{6}$

d)

$-\frac{2}{6}$

118.

$\left(-\frac{3}{5}\right)\div\left(-\frac{1}{10}\right)=$

a)

6

b)

-6

c)

$-\frac{3}{50}$

d)

$\frac{3}{50}$

119.

FInd the sum.

\frac{1}{4}+\ \frac{1}{2}

a)

$\frac{1}{6}$

b)

$\frac{1}{8}$

c)

$\frac{1}{2}$

d)

$\frac{3}{4}$

120.

Find the sum.

\frac{4}{5}\ +\ \frac{1}{3}

a)

$\frac{5}{8}$

b)

$1\ \frac{2}{15}$

c)

$\frac{7}{15}$

d)

$\frac{2}{15}$

121.

Find the sum.

\frac{1}{4}\ +\ \frac{3}{6}=

a)

$\frac{9}{12}$

b)

$\frac{3}{10}$

c)

$\frac{3}{12}$

d)

1

122.

$\frac{8}{9}\ -\ \frac{1}{3}\ =\$

a)

$\frac{7}{6}$

b)

$\frac{5}{9}$

c)

$\frac{2}{3}$

d)

$\frac{8}{27}$

123.

What is $\frac{8}{9}$ - $\frac{5}{6}$ = ?

a)

$\frac{6}{7}$

b)

$\frac{3}{4}$

c)

$\frac{1}{18}$

d)

$\frac{10}{12}$

124.

Solve. SIMPLIFY if needed.

$1\frac{1}{2}-\frac{2}{8}$

a)

$\frac{1}{4}$

b)

$1\frac{1}{4}$

c)

$1\frac{2}{8}$

d)

$1\frac{1}{6}$

125.

Solve. SIMPLIFY if needed.

$8\frac{3}{9}-3\frac{1}{3}$

a)

$5\frac{2}{6}$

b)

$5$

c)

$5\frac{0}{9}$

d)

$\frac{0}{9}$

126.

Simplify. NO CALCULATORS!

-8\div-4

(a)

127.

Simplify (divide). NO CALCULATORS!

\frac{18}{-3}

(a)

128.

Simplify (divide). NO CALCULATORS!

-\frac{24}{2}

(a)

129.

Simplify. NO CALCULATORS!

17\div-1

(a)

130.

Simplify using Order of Operations. NO CALCULATORS

-7+4\div\left(-2\right)

(a)

131.

Simplify using Order of Operations. NO CALCULATORS

14\div\left(-7\right)+\left(-8\right)\left(2\right)

(a)

132.

Find the reciprocal. Use the math notes to help you!

\frac{7}{13}

(a)

133.

Find the reciprocal. Use the math notes to help you!

\frac{1}{5}

(a)

134.

Find the reciprocal. Use the math notes to help you!

2

(a)

135.

Find the reciprocal. Use the math notes to help you! (HINT-Make sure to change the mixed number to improper before finding the reciprocal!)

2\ \frac{5}{8}

(a)

136.

Multiply and Simplify.

\frac{5}{7}\cdot\frac{7}{5}

(a)

137.

What is the missing fraction?

\frac{8}{13}\cdot\left[\frac{ }{ }\right]=1

(a)

138.

What is the missing fraction?

\left[\frac{ }{ }\right]\cdot\frac{31}{27}=1

(a)

139.

Solve

-3 + -2

a)

5

b)

6

c)

-6

d)

-5

140.

Solve 6 + 3

a)

9

b)

-9

c)

3

d)

-3

141.

-1 + -8

a)

9

b)

-9

c)

7

d)

-7

142.

-35 + -49

a)

-14

b)

14

c)

-84

d)

84

143.

Solve

7 + -1

a)

8

b)

-6

c)

6

d)

-8

144.

Solve:

25 + -63

a)

88

b)

-88

c)

38

d)

-38

145.

Solve:

23 + -11

a)

-12

b)

12

c)

34

d)

-34

146.

Using the number line solve:

-5 + 4

a)

1

b)

-1

c)

9

d)

-9

147.

Using the number line solve:

-1 + -3

a)

4

b)

2

c)

-4

d)

-2

148.

A submarine at -32 feet dives down 18 feet. After the dive, what will be the submarines elevation?

a)

14

b)

-14

c)

-50

d)

50

149.

A football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position.

a)

-9 + (-22) = -13

b)

9 + (-22) = 13

c)

9 + (-22) = -13

d)

none

150.

Rate of Change is the same as Slope.

a)

True

b)

Sometimes

c)

False

151.

What is the rate of change for the table below?

a)

1/3

b)

3/7

c)

7/3

d)

3

152.

Which of the following are ways to find the rate of change?

a)

change in y over change in x

b)

rise over run

c)

subtract y coordinates over subtract x coordinates

d)

all of the above

153.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

154.

Find the rate of change

a)

1

b)

2

c)

11

d)

No slope/Non-Linear

155.

Find the rate of change

a)

3

b)

-3

c)

20

d)

No slope/Non-Linear

156.

What is the rate of change in the table?

a)

3/2

b)

2/3

c)

-3/2

d)

-2/3

157.

What is the y=mx+b (slope intercept form) equation of the table. Hint: find your slope (m) and the y-intercept (b) and insert those values in the y=mx+b formula.

a)

$y=\frac{2}{3}x+4$

b)

$y=-\frac{3}{2}x-4$

c)

$y=\frac{2}{3}x-4$

d)

$y=-\frac{2}{3}x+4$

158.

What is the rate of change in the table?

a)

3

b)

2

c)

2/3

d)

3/2

159.

What is the rate of change in the graph?

a)

-6

b)

-1/6

c)

2

d)

-4

160.

What is the equation of this graph?

a)

$y=-3x+6$

b)

$y=3x-6$

c)

$y=-6x+3$

d)

$y=6x+3$

161.

Which graph shows a line with a zero of 2? (hint: remember the zero of a function is the x-intercept)

a)

b)

c)

d)

162.

Which table shows the same rate of change as the equation

y=2-\frac{4}{7}x?

a)

b)

c)

d)

163.

What is the slope?

a)

$2 per mile drive

b)

$.50 per mile driven

c)

2 miles driven per $1

d)

1 mile driven per $2

164.

Identify the slope...

a)

positive

b)

negative

c)

zero

d)

undefined

165.

Find the slope of the line that passes through (10, -8) and
(1, 12).

a)

20/9

b)

-20/9

c)

4/9

d)

9/4

166.

Find the slope of the line that passes through (-9, -6) and
(-9, -10)

a)

0

b)

Undefined

c)

-3

d)

-9

167.

a)

A

b)

B

c)

C

d)

D

168.

What is the y-intercept for the line defined by the equation below?
5x - 7y + 21 = 35

a)

5/7

b)

-5

c)

2

d)

-2

169.

The four sections of the coordinate plane are called

a)

sections

b)

quadrants

c)

corners

d)

axes

170.

Which axis is the vertical line?

a)

X axis

b)

Y axis

171.

Which axis is the horizontal line?

a)

X axis

b)

Y axis

172.

Which coordinate in this ordered pair is the X coordinate?

(5, -8)

a)

5

b)

-8

c)

neither

d)

both

173.

Which coordinate in this ordered pair is the Y coordinate?

(10, -23)

a)

10

b)

-23

c)

both

d)

neither

174.

What are the signs of a coordinate in quadrant III?

a)

(+,+)

b)

(+,-)

c)

(-,-)

d)

(-,+)

175.

What is an ordered pair?

a)

two random numbers

b)

two numbers that show the value for the X and Y

c)

one positive and one negative number

d)

two numbers that are ordered

176.

In what quadrant would you find (-4, 12)?

a)

QI

b)

QII

c)

QIII

d)

QIV

177.

In what quadrant would you find (-23, -4)?

a)

Qi

b)

QII

c)

QIII

d)

QIV

178.

Which ordered pair would be found in QIV?

a)

(1, -3)

b)

(12, 12)

c)

(-4, -6)

d)

(-3, 8)

179.

What are the signs of the coordinates for QIV?

a)

(-, -)

b)

(-, +)

c)

(+, +)

d)

(+, -)

180.

When plotting an ordered pair on the coordinate plane, which comes first, the X coordinate or the Y coordinate?

a)

X coordinate

b)

Y coordinate

181.

Where is Point A on the coordinate plane?

a)

(7,4)

b)

(1,3)

c)

(9,3)

d)

(4,7)

182.

a)

A(4, 5); B(-5, 5)

b)

A(4, 5); B(5, 5)

c)

A(4, 5); B(5, -5)

d)

A(5, 24); B(5, -5)

183.

a)

G(-6, 28); H(-2, -7)

b)

G(6, -6); H(-2, -7)

c)

G(6, -2); H(-6, -2)

d)

G(6, -6); H(-7, -2)

184.

a)

A(-4, 0); B(-2, -6)

b)

A(-4, 4); B(2, -6)

c)

A(4, 0); B(2, -6)

d)

A(-4, 0); B(2, -6)

185.

What is the intersection of the x-axis and y-axis on the Cartesian Coordinate Plane?

a)

Abscissa

b)

Origin

c)

Ordinate

d)

Ordered Pair

186.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

187.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

188.

Name the quadrant where POINT A is located.

a)

Quadrant I

b)

Quadrant IV

c)

No Quadrant

d)

Quadrant II

189.

If you were to plot the point (4, -12) what would be the correct method?

a)

Up 4, left 12

b)

Right 4, up 12

c)

Down 4, left 12

d)

Right 4, down 12

190.

Which letter matches the coordinate (4, -6)?

a)

C

b)

Z

c)

K

d)

None of the above

191.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

192.

Which axis runs vertically?

a)

x

b)

Y

193.

Which quadrant contains the point named by (2, 5)?

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

194.

The axes divide the coordinate plane into four sections called what?

a)

ordered pairs

b)

origins

c)

quadrants

d)

coordinate plane

195.

The coordinate plane is divided by a horizontal number line called what?

a)

y-axis

b)

origin

c)

x-axis

d)

quadrant

196.

The vertical number line in the coordinate plane is called what?

a)

y-axis

b)

origin

c)

quadrant

d)

x-axis

197.

The coordinates for the origin in the coordinate plane are________?

a)

(1,1)

b)

(0,0)

c)

(0,1)

d)

(1,0)

198.

In which quadrant is the following point?

(-3, -12)

a)

Quadrant I

b)

Quadrant II

c)

Quadrant III

d)

Quadrant IV

199.

What are the coordinates of Point D?

a)

(-4,2)

b)

(2,-4)

200.

What is the distance from Point A to Point B?

a)

8 units

b)

16 units

c)

0 units

201.

What is the distance between Katelynn's home, (0,3) and Adriana's home, (0,7)?

a)

14

b)

0

c)

4

d)

7

202.

What is the distance between Junior's home, (-2,0) and Chris' home, (4,0)?

a)

6

b)

0

c)

2

d)

8

203.

What is the absolute value definition?

a)

The opposite

b)

The distance from each other

c)

The distance from zero

d)

The sum of the integers

204.

Which direction does the X-axis move?

a)

east and north

b)

east and west

c)

north and south

d)

up and down

205.

What direction does the Y axis move?

a)

north and east

b)

north and south

c)

east and west

d)

south and west

206.

What is the distance between (-3,4) and (-3,8)?

a)

1

b)

2

c)

3

d)

4

207.

What is the distance between (-3,5) and (7,5)?

a)

10

b)

4

c)

3

d)

11

208.

What is the ordered pair for point A?

a)

( 2, 0)

b)

( 0 , 2)

c)

(0, -2)

d)

(-2,0)

209.

Watch the WHOLE video!

How do you plot an ordered pair?

a)

X means go left Y means go down

b)

X means go right Y means go down

c)

Y means go left and X means go up

d)

X means go right and Y means go up

210.

What is the ordered pair for A?

a)

(5,4)

b)

(2,4)

c)

(0,0)

d)

(4,5)

211.

What is the ordered pair for B?

a)

(5,4)

b)

(2,4)

c)

(0,0)

d)

(4,5)

212.

What is the ordered pair for D?

a)

(2,1)

b)

(2,4)

c)

(0,0)

d)

(1,2)

213.

What is the ordered pair for F?

a)

(2,1)

b)

(2,4)

c)

(0,0)

d)

(1,2)

214.

What is the ordered pair for T?

a)

(3,5)

b)

(5,3)

c)

(2,3)

d)

(0,4)

215.

What is the ordered pair for M?

a)

(3,5)

b)

(5,3)

c)

(2,3)

d)

(0,4)

216.

What is the ordered pair for V?

a)

(3,5)

b)

(5,3)

c)

(2,3)

d)

(0,4)

217.

What is the ordered pair for S?

a)

(3,5)

b)

(5,3)

c)

(2,3)

d)

(0,4)

218.

Is this and Additive or Multiplicative pattern?

a)

Additive

b)

Multiplicative

c)

Neither

219.

Which point is best represented by the ordered pair ( -5.5, 2)?

a)

Point R

b)

Point V

c)

Point W

d)

Point S

220.

Which ordered pair appears to be located 500 units to the right and 250 units up from point R ?

a)

(500, 375)

b)

(500, 250)

c)

(875, 500)

d)

(500, 875)

221.

Patricia graphed point S on the coordinate grid. She will graph point T at a location 3 units left then 2 units below point T. Which ordered pair could represent the location of point T?

a)

(-5,4)

b)

(6,1)

c)

(0 - 1)

d)

(-6,-1)

222.

A polygon is shown on the coordinate grid.

The list below shows ordered pairs representing the location of four vertices of the polygon.

Which ordered pair is located inside the trapezoid?

a)

(3, 3)

b)

(-1 $\frac{2}{3}$ , -2 $\frac{3}{4}$ )

c)

(2, -3)

d)

( $\frac{1}{3}$ , 2 $\frac{1}{4}$ )

223.

The location of point G is shown on the coordinate grid. Which ordered pair is furthest from point G?

a)

(1,3)

b)

(-4, 5)

c)

(-9,8)

d)

(2,-2)

224.

Four points are graphed on the coordinate plane.

Which point is best represented by the ordered pair (-2, - $\frac{11}{2}$ )

a)

R

b)

V

c)

S

d)

W

225.

The coordinate grid shows points P, Q, R, and S.

All the coordinates for these points are integers. What is the value of the X-coordinate of point P.

(a)

226.

Which two ordered pairs are found in quadrant I and contained within the right triangle and the circle?

a)

(0.5, 2)

b)

(1, 3)

c)

(2, 1)

d)

(3, 1)

227.

Which ordered pair is in quadrant 1?

a)

(1.5, 2)

b)

(-4, 0.5)

c)

(-1.5, -1)

d)

(2.5, -3)

228.

Which letter matches the coordinate (4, -6)?

a)

G

b)

Z

c)

K

d)

None of the above

229.

Where is point E located?

a)

( 2, 0 )

b)

( 2 , 2 )

c)

( 0 , 2 )

d)

( 0 , 0 )

230.

The axes divide the coordinate plane into four sections called what?

a)

ordered pairs

b)

origins

c)

quadrants

d)

coordinate plane

231.

a)

I

b)

IV

c)

III

d)

II

232.

Name the quadrant where POINT A is located.

a)

Quadrant I

b)

Quadrant IV

c)

No Quadrant

d)

Quadrant II

233.

Give the coordinates for POINT H.

a)

(-1, 2)

b)

(1, -2)

c)

(-1, -2)

d)

(1 , 2)

234.

Give the coordinates for POINT I.

a)

(-2, 5)

b)

(-2, -5)

c)

(2, 5)

d)

(2, -5)

235.

The coordinate plane is divided by a horizontal number line called what?

a)

y-axis

b)

origin

c)

x-axis

d)

quadrant

236.

The vertical number line in the coordinate plane is called what?

a)

y-axis

b)

origin

c)

quadrant

d)

x-axis

237.

Labiba is having the carpet in her room cleaned. It costs $1 to clean each square foot of carpet. The cost of the cleaning is based on the area of the carpet.

Identify the independent variable and the dependent variable.

a)

Independent: Area of the floor

Dependent: Cost of cleaning

b)

Independent: Cost of cleaning

Dependent: Area of the floor

238.

Which variable is usually represented as the letter y?

a)

Independent Variable

b)

Dependent Variable

239.

Which variable is usually represented as the letter x?

a)

Independent Variable

b)

Dependent Variable

240.

A runner sets up a training schedule. With each new training session, she will increase her total running time.

Her total running time today will be 3 minutes longer than the previous session's time.

The two variables are today's time and the previous time.

a)

x: Today's time

y: Previous time

b)

x: Previous time

y: Today's time

241.

Khadijah makes $5 per hour helping her grandfather in his woodshop.

The two variables are the number of hours she works and the total amount of money she earns.

Decide which of these variables will be denoted as x, and which as y.

a)

x - Number of hours she works

y - Total amount she works

b)

x - Total amount she works

y - Number of hours she works

242.

Khadijah makes $5 per hour helping her grandfather in his woodshop. The money she makes depends on the number of hours she works.

What is the equation that represents this?

a)

x = 5y

b)

y = 5 + x

c)

y = 5x

d)

x = y + 5

Unit 1: Ratios and Proportional Reasoning

Total questions: 242

Worksheet time: 6hrs 37mins

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