Free Printable Fall Study Guide

1.

What are systems of linear equations?

a)

a set of two or more linear equations in the same variables

b)

a polynomial with three terms

c)

set of two or more linear inequalities in the same variables

2.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

3.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

4.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

5.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

6.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

7.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

8.

Solve the following system of equations by graphing:

a)

(4, -4)

b)

(-4, 4)

c)

no solutions

d)

(0, 0)

9.

Solve the following system of equations by graphing:

a)

Infinite solutions

b)

(2, -2)

c)

(1, 0)

d)

(3, -4)

10.

Solve the following system of equations using the elimination method:

a)

(-2, 1)

b)

no solutions

c)

(-2, 0)

d)

(-1, -3)

11.

Solve the following system of equations using the elimination method.

a)

infinite solutions

b)

(0, -2)

c)

no solutions

d)

(0, 2)

12.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

13.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

14.

Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16

a)

(-3, -25)

b)

(3,-7)

c)

(11, 17)

d)

(21, 47)

15.

Which of the following shows the solution to the system?
y= -1/4x + 4
y = 2x + 2

a)

A

b)

B

c)

C

d)

D

16.

At a restaurant the cost for a breakfast taco and a small glass of milk is $2.10. The cost for 2 tacos and 3 small glasses of milk is $5.15. If a system of equations is written, which would be the correct representation of the 2 variables?

a)

t: # of tacos

m: # of glasses of milk

b)

t: Cost of each taco

m: Cost of each glass of milk

c)

t: total cost

m: # of food items

d)

t: Cost of each glass of milk

m: Cost of each taco

17.

Solve the system using any method.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

No solutions

d)

(6, 4)

18.

Solve by elimination:
3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

19.

Solve by graphing:
y=5x+3

y=-2x-4

a)

(2,-1)

b)

(-1,-2)

c)

(1,-2)

d)

(-2,-1)

20.

How can you tell if a point is a solution to a system?

a)

It makes the first equation true.

b)

The (x,y) coordinates satisfy both equations

c)

It makes logical sense

d)

It makes neither equation negative

21.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

22.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

23.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

24.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

25.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

26.

Solve using substitution.
x - 2y = 2
3x + 4y = 3

a)

(1.4, -0.3)

b)

(3.1, 5)

c)

(-2.5, 3.5)

d)

(6.9, 1.02)

27.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

28.

Find the solution to the system of equations:
3x + 2y = 16
y = -7x + 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

29.

y = -6x + 5
-2x + y = 5

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

30.

A system of linear equations is...

a)

Math Magic

b)

One Equation

c)

Always more than 2 equations

d)

A set of 2 or more equations

31.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

32.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

33.

Which of the following are ways to solve systems of equations?

a)

Graphing

b)

Substitution

c)

Elimination

d)

All of the above

34.

Solve the system by elimination.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

(−6, 10)

d)

(6, 4)

35.

Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16

a)

(-3, -25)

b)

(3,-7)

c)

(11, 17)

d)

(21, 47)

36.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

37.

What is the solution to the system?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

38.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

39.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

40.

Which of the following is a function?

a)

b)

c)

d)

41.

Is this is a function or not a function?

a)

Function

b)

Not a Function

42.

Is this a function or not a function?

a)

Function

b)

Not a Function

43.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

44.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

45.

Which of these tables represent a function?

a)

A

b)

B

c)

C

d)

D

46.

Which graph is NOT a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

47.

Which graph is a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

48.

Which set of ordered pairs is a function?

a)

{(9,5), (10,5), (9,-5), (10,-5)}

b)

{(3,4), (4,-3), (7,4), (3, 8)}

c)

{(6,-5), (7, -3), (8, -1), (9, 1)}

d)

{(2, -2), (5, 9), (5, -7), (1, 4)}

49.

a)

Function

b)

Not a Function

50.

a)

Function

b)

Not a Function

51.

a)

Function

b)

Not a Function

52.

Is the graph pictured a function?

a)

Yes

b)

No

53.

a)

Function

b)

Not a Function

54.

a)

Function

b)

Not a Function

55.

a)

Function

b)

Not a Function

56.

a)

Yes

b)

No

57.

a)

Yes

b)

No

58.

a)

Yes

b)

No

59.

a)

Yes

b)

No

60.

Is this is a function or not a function?

a)

Function

b)

Not a Function

61.

Is this a function or not a function?

a)

Function

b)

Not a Function

62.

a)

Yes

b)

No

63.

Which set of ordered pairs is a function?

a)

{(9,5), (10,5), (9,-5), (10,-5)}

b)

{(3,4), (4,-3), (7,4), (3, 8)}

c)

{(6,-5), (7, -3), (8, -1), (9, 1)}

d)

{(2, -2), (5, 9), (5, -7), (1, 4)}

64.

a)

Yes

b)

No

65.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

66.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

67.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

68.

a)

Yes

b)

No

69.

Is this relation a function?

a)

Yes

b)

No

70.

a)

Yes

b)

No

71.

Which of these tables represent a function?

a)

A

b)

B

c)

C

d)

D

72.

Which of these set of coordinates represent a function?

a)

A

b)

B

c)

C

d)

D

73.

Does the mapping of these points represent a function?

a)

Function

b)

Not a Function

74.

How do you determine if a relation is a function?

a)

The vertical line test crosses more than one point on the graph.

b)

The same y-values are mapped from the same x-values.

c)

The vertical line test crosses only one point on the graph.

d)

Each input is related to more than one output.

75.

a)

Yes

b)

No

76.

What does area mean?

a)

The distance around the object.

b)

The amount of flat space covered by the object.

c)

The amount of space filled up by the object.

77.

What does perimeter mean?

a)

The distance around the object.

b)

The amount of flat space covered by the object.

c)

The amount of space filled up by the object.

78.

Mrs. Hunt needs a new rug for her classroom. Her classroom is 7 feet by 9 feet. How big will the rug be?

a)

32 ft

b)

63 ft

c)

63 ft²

d)

32 ft²

79.

Mr. Hall bought a border for a bulletin board. The bulletin board is 16 feet long and 17 feet wide. How much border does he need to buy?

a)

272 ft

b)

66 ft²

c)

272 ft²

d)

66 ft.

80.

At the playground, the new sandbox was 10 meters wide and had an area of 60 square meters. How long is the sandbox?

a)

600 meters

b)

20 meters

c)

6 meters²

d)

6 meters

81.

Sara's garden has a PERIMETER of 36 feet. The LENGTH of the garden is 12 feet. What is the WIDTH of Sara's garden?

a)

3 feet

b)

6 feet

c)

6 feet²

d)

3 feet²

82.

What is the volume?

a)

27 units²

b)

27 units³

c)

162 units²

d)

162 units³

83.

What type of question is this?

Mrs. Davis wanted to repaint her bulletin board. If the length of the bulletin board was 12 feet and the width was 8 feet. How much paint would she need?

a)

perimeter

b)

area

c)

volume

84.

What type of question is this?

John is putting a fence around his yard. He purchased 30 ft of fence. How much does John have left over if his yard has a length of 7 ft and a width of 2 ft.?

a)

perimeter

b)

area

c)

volume

85.

What is the volume of the cereal box?

a)

23 in³

b)

288 in²

c)

23 in²

d)

288 in³

86.

What does volume mean?

a)

The distance around an object.

b)

The amount of flat space covered by the object.

c)

The amount of space filled up by the object.

87.

What units could be used to measure perimeter?

a)

inches

b)

inches²

c)

inches³

88.

What units could be used to measure area?

a)

meters

b)

meters²

c)

meters³

89.

What units could be used to measure volume?

a)

feet

b)

feet²

c)

feet³

90.

What type of question is this?

Hector bought fish and a new aquarium. He measured the aquarium and found it was 18 inches long, 5 inches wide, and 10 inches tall. How much water can the aquarium hold?

a)

perimeter

b)

area

c)

volume

91.

Amy wants to find how much ribbon she needs to complete the outline of her picture frame. How much ribbon does she need if the length is 8 in and the width is 4 in.?

a)

20

b)

12

c)

24

d)

32

92.

What is the volume of a cube that has a base of 20 in² and a height of 8 in.?

a)

20

b)

32

c)

28

d)

160

93.

Mrs. Paul measured her closet floor so she could lay carpet down. What is the formula to find out how much carpet she needs when the width is 4 ft and the length is 8 ft.?

a)

LxWxH

b)

LxW

c)

4s

d)

L+W+L+W

94.

John is putting a fence around his yard. He purchased 30 ft of fence. How much does John have left over if his yard has a length of 7 ft and a width of 2 ft.?

a)

27 ft

b)

12 ft

c)

18 ft

d)

28 ft

95.

Monae, Lattrell, Katie, and Annya are creating a model of a rectangular prism. They want to know which equation is the correct way to solve for volume.

a)

V=LxW

b)

V=BxLxWxH

c)

V=Bh

d)

V=WxH

96.

Cazaria has a square garden that has a width of 6 ft. She needs to put a wooden fence around it to keep the bunnies out. What is the perimeter of the garden.
She also wants to purchase soil for her garden. How much soil does she need to cover the inside of her garden.

a)

Fence= 24 ft
Soil= 36 ft²

b)

Fence= 36 ft
Soil= 24 ft²

c)

Fence= 12 ft
Soil= 12 ft²

d)

Fence= 24 ft
Soil= 30 ft²

97.

What is the area of the composite figure?

a)

48 cm²

b)

90 cm²

c)

78 cm²

d)

12 cm²

98.

Find the perimeter

a)

25cm

b)

35cm

c)

50cm

d)

100cm

99.

What is the area of this figure?

a)

52 square centimeters

b)

36 centimeters

c)

57 square centimeters

d)

40 square centimeters

100.

what is the volume?

a)

72

b)

27

c)

1.5

d)

272

101.

Find the area

a)

150m²

b)

120m²

c)

126m²

d)

200m²

102.

_{Find the perimeter.}

a)

8 cm

b)

34 cm

c)

23 cm

d)

49 cm

103.

The dimensions of this rectangular prism are:

a)

Length: 6 cubes, Width: 3 cubes, Height: 3 cubes

b)

Length: 3 cubes, Width: 3 cubes, Height: 6 cubes

c)

Length: 3 cubes, Width: 3 cubes, Height: 3 cubes

d)

Length: 9 cubes, Width: 3 cubes, Height: 3 cubes

104.

What is the volume of the cereal box?

a)

23 in³

b)

97 in³

c)

132 in³

d)

288 in³

105.

^{Find the area of the base.}

a)

428.4 cm³

b)

35.7 cm³

c)

84 cm³

d)

61.2 cm³

106.

7 feet = ___ inches

a)

144 inches

b)

49 inches

c)

84 inches

d)

19 inches

107.

Convert:
3 lb = ____ oz

a)

36

b)

48

c)

6

d)

12

108.

Which unit would be most appropriate for measuring the length of a football field?

a)

Miles

b)

Inches

c)

Gallons

d)

Yards

109.

The length of the teacher's desk was 5 FEET. The length of the student tables was 34 INCHES. Which was longer?

a)

Teacher's Desk

b)

Student Tables

110.

The length of a pencil

a)

8 inches

b)

8 yards

111.

When converting from large to small:

a)

multiply

b)

divide

112.

When converting from small to large:

a)

multiply

b)

divide

113.

There are 18 children at the birthday party, and one gallon of fruit juice. Can each child have a cup of juice?

a)

yes

b)

no

114.

Convert 109 m to ____ mm

a)

10900 mm

b)

1.09 mm

c)

109000 mm

d)

0.0109 mm

115.

600 cm = ___ m

a)

6 m

b)

6,000 m

c)

60,000 m

116.

___m = 17km

a)

17,000

b)

170

c)

1,700

d)

I will miss Mr. Campbell next year. :(

117.

Which unit is the smallest?

a)

km

b)

mm

c)

m

d)

cm

118.

Which unit is the smallest?

a)

km

b)

mm

c)

m

d)

cm

119.

1 L = _______ mL

a)

1

b)

10

c)

100

d)

1000

120.

The best CUSTOMARY unit to measure an elephant would be in .....

a)

pounds

b)

ounces

c)

Tons

d)

grams

121.

The best CUSTOMARY unit to measure the length of a soccer field would be....

a)

inches

b)

yards

c)

feet

d)

miles

122.

Ounces, pounds, and tons measure.....

a)

Height

b)

Volume

c)

Length

d)

Weight

123.

Which is longer? A Centimeter or an inch?

a)

centimeter

b)

inch

124.

Which is longer? A yard stick or a meter stick?

a)

meterstick

b)

yardstick

125.

What angle corresponds to $\angle3$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle8$

d)

$\angle7$

126.

What angle corresponds to $\angle7$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle8$

d)

$\angle7$

127.

What angle corresponds to $\angle6$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle8$

d)

$\angle7$

128.

What angle corresponds to $\angle1$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle8$

d)

$\angle2$

129.

What angle corresponds to $\angle1$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle3$

d)

$\angle2$

130.

What angle corresponds to $\angle4$ ?

a)

$\angle4$

b)

$\angle5$

c)

$\angle3$

d)

$\angle2$

131.

What angle corresponds to $\angle5$ ?

a)

$\angle7$

b)

$\angle5$

c)

$\angle3$

d)

$\angle2$

132.

What angle corresponds to $\angle6$ ?

a)

$\angle7$

b)

$\angle8$

c)

$\angle3$

d)

$\angle2$

133.

What angle is vertical to $\angle1$ ?

a)

$\angle7$

b)

$\angle4$

c)

$\angle6$

d)

$\angle2$

134.

What angle is vertical to $\angle5$ ?

a)

$\angle3$

b)

$\angle1$

c)

$\angle6$

d)

$\angle2$

135.

Find the distance d(P1 , P2) between the points P1 and P2 . Round the answer to the tenth place.

(a)

136.

Find the distance d(P₁ , P₂) between the points P₁ and P₂ .

a)

$\sqrt{6}$

b)

$\sqrt{5}$

c)

$2$

d)

$\sqrt{10}$

137.

Find the distance d(P₁ , P₂) between the points P₁ and P₂ .

a)

$\sqrt{6}$

b)

$\sqrt{5}$

c)

$2$

d)

$4$

138.

Find the distance d(P₁ , P₂) between the points P₁ and P₂ .

$P_1=(3,-4);\ P_2=(5,4)$

a)

$\sqrt{70}$

b)

$\sqrt{68}$

c)

$8$

d)

$\sqrt{65}$

139.

Find the distance d(P₁ , P₂) between the points P₁ and P₂ .

$P_1=(-5,-3);\ P_2=(11,9)$

a)

$20$

b)

$\sqrt{12}$

c)

$8$

d)

$\sqrt{65}$

140.

Find the midpoint of the line segment joining the points P1 and P2 .

P1 = (3, -4); P2 = (5, 4)

a)

(4,0)

b)

(4,2)

c)

(8,2)

d)

(0,4)

141.

Find the midpoint of the line segment joining the points P1 and P2 .

P1 = (-4, -3); P2 = (2, 2)

a)

$\left(-1,-\frac{1}{2}\right)$

b)

$\left(1,\frac{1}{2}\right)$

c)

$\left(1,-\frac{1}{2}\right)$

d)

$\left(-1,\frac{1}{2}\right)$

142.

Find the midpoint of the line segment joining the points P1 and P2 .

P1 = ( -2, 0); P2 = (2, 4)

a)

$\left(0,2\right)$

b)

$\left(-2,-2\right)$

c)

$\left(0,-2\right)$

d)

$\left(-1,\frac{1}{2}\right)$

143.

Find the midpoint of the line segment joining the points P1 and P2 .

P1 = (a, b); P2 = (0, 0)

a)

$\left(\frac{a}{2},\frac{b}{2}\right)$

b)

$\left(-\frac{a}{2},-\frac{b}{2}\right)$

c)

$\left(2a,-2b\right)$

d)

$\left(-1a,\frac{1}{2}b\right)$

144.

The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side (see the figure). Find the lengths of the median of the triangle with vertex A at A = (0, 0), B = (6, 0), and C = (4, 4).

a)

$\sqrt{29}$

b)

$\sqrt{27}$

c)

$6$

d)

$5$

145.

Plot the points A = (-1, 8) and M = (2, 3) in the xy-plane. If M is the midpoint of a line segment AB, find the coordinates of B.

a)

(5,-2)

b)

(-5,2)

c)

(6, 2)

d)

(-1,4)

146.

6 plus a number

a)

6 - n

b)

n + 6

c)

6 + n

d)

6n

147.

A number subtract 5

a)

5 - x

b)

5x

c)

x - 5

d)

x + 5

148.

3 times a number

a)

3 x n

b)

3- n

c)

n x 3

d)

n + 3

149.

15 subtract a number

a)

15 - s

b)

s - 15

c)

15 x s

d)

s + 15

150.

A number plus 3

a)

n - 3

b)

3 + n

c)

3n

d)

n + 3

151.

4 plus a number

a)

4 - x

b)

4 + x

c)

x + 4

d)

x - 4

152.

A number times 9

a)

9 x b

b)

9 + b

c)

b x 9

d)

b - 9

153.

13 subtract a number

a)

13 - n

b)

n - 13

c)

13 x n

d)

13 + n

154.

8 plus a number

a)

8 - p

b)

p + 8

c)

8 + p

d)

8 x p

155.

A number subtract 10

a)

10 + n

b)

10 - n

c)

n x 10

d)

n - 10

156.

16 subtract a number

a)

16 - n

b)

16 + n

c)

n - 16

d)

n + 16

157.

A number times 17

a)

17 x n

b)

17 + n

c)

n x 17

d)

n x 7

158.

6 plus a number

a)

n + 6

b)

n x 6

c)

6 + n

d)

6 x n

159.

A number subtract 5

a)

n - 5

b)

n + 5

c)

n x 5

d)

5 + n

160.

60 plus a number

a)

x + 60

b)

x - 60

c)

60 + x

d)

60 - x

161.

Expression or Equation? 4 + 2

a)

Expression

b)

Equation

162.

Expression or Equation? 6 - 3 = 3

a)

Expression

b)

Equation

163.

Expression or Equation? 6 + 5 = 15 - 4

a)

Expression

b)

Equation

164.

What does the equal sign (=) stand for?

a)

one side is equal to the other

b)

the answer

165.

Is this equation true? A = B

a)

true

b)

false

166.

Is this equation true? A = A

a)

true

b)

false

167.

True or False?

3 + 4 = 5

a)

True

b)

False

168.

True or False?

6 + 1 = 9 - 2

a)

True

b)

False

169.

True or False?

9 - 1 = 7 + 1

a)

True

b)

False

170.

True or False?

5 + 2 = 4 + 2

a)

True

b)

False

Fall Study Guide

Total questions: 170

Worksheet time: 9hrs 59mins

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