Free Printable Year 10 ixl SECTION from A to G + Z

1.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

2.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

3.

What is the slope of the line with the equation y = 4x + 12

a)

4

b)

1/4

c)

-4

d)

-1/4

4.

Find the slope of the line that passes through
(1, -19) and (-2, -7)

a)

-4

b)

4

c)

1/4

d)

-1/4

5.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

6.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

7.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

8.

Find the slope.

a)

-2

b)

2

c)

-1/2

d)

1/2

9.

For the straight line y = -2x + 3, what are:

a) the slope

b) the y-intercept?

a)

a) Slope = 2

b) y-intercept = -3

b)

a) Slope = -2

b) y-intercept = 3

c)

a) Slope = 3

b) y-intercept = -2

d)

a) Slope = -3

b) y-intercept = 2

10.

What is the equation of the straight line shown in the diagram?

a)

y = (½)x - 2

b)

y = 2x - 2

c)

y = -2x + ½

d)

y = -(½)x + 2

11.

What is the equation of the following line?

a)

y = 3/4x + 2

b)

y = 1 1/3x + 2

c)

y = -3/4x + 2

d)

y = -1 1/3x + 2

12.

What is the equation of the following graph?

a)

y = 0.25x + 2

b)

y = -4x + 2

c)

y = 4x + 2

d)

y = -0.25x + 2

13.

Which line has a positive slope?

a)

pink

b)

green

c)

blue

d)

neither

14.

What is the y-intercept of this graph?

a)

(0,1)

b)

(0,-2)

c)

(0,0)

d)

(0,3)

15.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

16.

What does 'b" represent in y=mx+b

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

17.

What is the slope of this equation?
y = 3x - 4

a)

3

b)

-4

c)

3x

d)

4

18.

What is the y-intercept of this equation?
y = 5x + 8

a)

(0, 5)

b)

(5, 0)

c)

(0, 8)

d)

(8, 0)

19.

Write the equation for the table given

a)

y = 1/3x

b)

y = 3x

c)

y = 1/2x

20.

Write an equation for this situation.

a)

y = 9.75x

b)

y = 19x

c)

y = 19.25x

d)

y = 9.5x

21.

Which table contains only values that satisfy the equation

y = 0.5x + 14?

a)

b)

c)

d)

22.

What is the equation for this line?

a)

y = x - 2

b)

y = x + 2

c)

y = 2x

d)

y = -x + 2

23.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

24.

The table shows the relationship between y, the cost to rent a boat, and x, the amount of time the boat is rented. Which graph best represents the relationship between x and y shown in the table? (7.7A)

a)

b)

c)

d)

25.

Determine the missing value in the table.

a)

15

b)

3

c)

1/3

d)

9

26.

A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars? (7.4A)

a)

y = 12x + 55

b)

y = 12x + 165

c)

y = 55x + 12

d)

y = 165x + 12

27.

Calculate the average rate of change from 20 to 40 minutes.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

28.

Which statement below accurately represents the graph?

a)

$100 is earned for each hour worked

b)

$200 earned for every 2 hours worked
is the unit rate

c)

$500 is earned for every 8 hours worked

d)

$300 is earned after working 4 hours

29.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

30.

What type of slope is shown?

a)

positive

b)

negative

c)

zero

d)

undefined

31.

Identify the formula used to find slope.

a)

$m=\frac{y_2-y_1}{x_2-x_1}$

b)

$m=\frac{y_1-y_2}{x_1-x_2}$

c)

$m=\frac{x_2-x_1}{y_2-y_1}$

d)

$m=\frac{x_1-x_2}{y_1-y_2}$

32.

What is the slope-intercept form of a line?

a)

$Ax+By=C$

b)

$y=mx+b$

c)

$y-y_1=m\left(x-x_1\right)$

d)

$y=Ax+By$

33.

What is the y-intercept of this graph?

a)

$b=4$

b)

$b=-4$

c)

$b=-2$

d)

$b=2$

34.

Which is the graph of $y=x+2$ ?

a)

A

b)

B

c)

C

d)

D

35.

Identify the correct slope for the table shown.

a)

$m=10$

b)

$m=5$

c)

$m=\frac{5}{2}$

d)

$m=2$

36.

Identify the correct y-intercept shown on this table.

a)

$b=5$

b)

$b=0$

c)

$b=10$

d)

$b=2$

37.

Based on the table, write the equation in slope-intercept form.

a)

$y=5x+5$

b)

$y=\frac{1}{5}x+5$

c)

$y=15x+5$

d)

$y=10x+5$

38.

What is the y-intercept?

a)

7

b)

0

c)

2

d)

1

39.

The point where the line crosses the y-axis is called the:

a)

origin

b)

x-intercept

c)

y-intercept

d)

slope

40.

Jackson started with $800 in his savings account, but has to pay $30 a month for his electricity bill. Write an equation that relates his savings, y, to the amount of months, x.

a)

$y=-30x+800$

b)

$y=30x-800$

c)

$y=-30x$

d)

$y=12x-30$

41.

Stephanie owes her mom $80 for a recent trip to the mall. She plan to pay back $15 a month until it is all paid back. Write an equation in slope-intercept form that relates the amount she owes, y, to the amount of months, x.

a)

$y=15x-80$

b)

$y=15x+80$

c)

$y=-15x+80$

d)

$y=-15x-80$

42.

∠A ≅∠?

a)

∠B

b)

∠E

c)

∠D

d)

∠F

43.

∆ABC≅∆XYZ
which is true?

a)

AB≅XY

b)

AB≅YX

c)

AB≅XZ

d)

BC≅CB

44.

∆EHG≅∆KFC
Which is a true statement?

a)

EH≅FK

b)

HG≅KF

c)

EG≅KC

d)

∠E≅∠C

45.

Are the triangles congruent, if yes, why?

a)

SAS

b)

ASA

c)

SSS

d)

Not Congruent

46.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

47.

Are the triangles congruent, if yes, why?

a)

SSS

b)

ASA

c)

AAA

d)

Not Congruent

48.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

49.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

50.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

51.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

52.

Which of the following is not a valid reason to prove congruent triangles?

a)

SSA

b)

AAS

c)

SAS

d)

SSS

53.

Which of the following is not a valid reason to prove congruent triangles?

a)

ASA

b)

SAS

c)

SSS

d)

AAA

54.

State if the two triangles are congruent. If they are, state how you know.

a)

A

b)

B

c)

C

d)

D

55.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not enough information

56.

The hypotenuse of a triangle is...

a)

Invisible

b)

A myth

c)

The side opposite the right angle in a right triangle

57.

Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?

a)

No

b)

Sometimes

c)

Yes

d)

N/A

58.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

AAS

c)

SAS

d)

Cannot be proven congruent

59.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

∠F≅∠Q

b)

∠G≅∠R

c)

∠H≅∠S

d)

FH = QS

60.

What missing piece of information is needed to prove the triangles congruent using ASA?

a)

GC = CD

b)

CE = CD

c)

∠GCE≅∠BCE

d)

BD = GE

61.

What missing piece of information is needed to prove the triangles congruent using SAS?

a)

NM = AM

b)

NL = CA

c)

∠M≅∠B

d)

∠N≅∠C

62.

What does SSS stand for?

a)

Small Small Small

b)

Side Side Side

c)

Small Side Small

d)

Sam's Silly Side

63.

What does SSS prove?

a)

Nothing

b)

Triangles similar

c)

Triangles congruent

d)

Triangle angle sum

64.

Complete the congruence statement.

a)

CRP

b)

PCR

c)

RPC

d)

PRC

65.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

66.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

67.

State if the two triangles are congruent. If they are, state which theorem you would use.

a)

Yes, SAS

b)

Yes, SSS

c)

Yes, HL

d)

No

68.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

SSS

d)

Not Possible

69.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

equiangular scalene

c)

equiangular isosceles

d)

equiangular equilateral

70.

a)

Congruent by HL

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

71.

Are the two triangles congruent?

a)

Not enough information

b)

Yes, by SSA

c)

Yes by AAS

d)

Yes By ASA

72.

Are the triangles congruent, if yes, why?

a)

SSS

b)

SAS

c)

ASA

d)

Not Congruent

73.

Are the triangles congruent, if yes, why?

a)

SSS

b)

ASA

c)

AAA

d)

Not Congruent

74.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

75.

Name the postulate, if possible, that makes the triangles congruent. Given: AM ≈ MB and everything that is marked congruent.

a)

SAS

b)

ASA

c)

AAS

d)

HL

76.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

77.

Name the postulate, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

78.

How are these two triangles congruent?

a)

AAS

b)

ASA

c)

Not enough information

d)

SAS

79.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

80.

Congruent by

a)

SSS

b)

SAS

c)

ASA

d)

AAS

81.

If the two triangles are congruent, answer with the criterion that proves them congruent.

a)

SSS

b)

Not Congruent

c)

HL

d)

SAS

82.

Can the triangles be proven congruent? If so, how?

a)

ASA

b)

Cannot be proven congruent

c)

SAS

d)

SSS

83.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

AAS

84.

Name the postulate, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

85.

Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?

a)

No

b)

Sometimes

c)

Yes

d)

N/A

86.

a)

Congruent by HL

b)

Congruent by SAS

c)

Congruent by SSS

d)

Not Necessarily Congruent

87.

Which method will not prove triangles are congruent?

a)

ASA

b)

SAS

c)

SSA

d)

AAS

88.

Add

a)

11 8
-4 2

b)

3 2
-6 -6

c)

-3 2
-4 -6

d)

10 8
-6 2

89.

Subtract

a)

-5
-8
3
10

b)

-9
8
3
2

c)

5
-8
3
10

d)

-5
8
3
2

90.

Find A-B

a)

-3 1
7 -1

b)

1 0
1 -4

c)

-4 0
6 -1

d)

not possible because rows do not match columns

91.

What are the dimensions of this matrix?

a)

2 x 3

b)

3 x 2

c)

6 x 1

d)

1 x 6

92.

Multiply

a)

20 15 -10
30 -5 0

b)

-20 15 -10
30 -5 0

c)

1 8 3
11 4 5

d)

20 -15 10
-30 5 0

93.

Can the operation be performed?

a)

Yes

b)

No

c)

Sometimes

d)

only Ms. Jones knows

94.

What are the dimensions of this matrix?

a)

3x1

b)

1x3

c)

3x3

d)

1x1

95.

How many columns are in a 5 x 4 matrix?

a)

5

b)

4

c)

20

d)

9

96.

Subtract

a)

3 -8
0 -1

b)

3 -4
8 -13

c)

-3 8
0 1

d)

3 -8
-8 1

97.

What do w, x, y and z equal in this matrix subtraction?

a)

w = 13, x = 4, y = 7, z = 23

b)

w = 13, x = -4, y = 11, z = 23

c)

w = 13, x = 4, y = 11, z = 23

d)

w = 13, x = 4, y = 11, z = 17

98.

What is the name of each entry of a matrix?

a)

Row

b)

Element

c)

Dimension

d)

Rectangle

99.

You can multiply a 2X3 matrix by which matrix?

a)

2X2

b)

2X12

c)

3X12

d)

2X3

100.

Find the product of the two matrices.

a)

undefined

b)

-3 16
17 12
8 -10

c)

3 12
-15 -8
-1 -3

101.

In Matrix R (pictured) what element is a₂₃?

a)

8

b)

9.01

c)

6

d)

1

102.

find: B*A

a)

47 30
9 5

b)

17 15
42 35

c)

10 25
7 1

d)

not possible because rows do not match columns

103.

These matrices are being multiplied. Determine the dimension/size of the new matrix.

a)

Can't multiply them

b)

4 x 2

c)

3 x 3

d)

4 x 3

104.

Given matrices A & B:
A is a (4x33) matrix
B is a (33x1) matrix
What are the dimensions of the product of A times B?

a)

4x1

b)

4x33

c)

33x1

d)

Matrix does not exist

105.

What must be true in order to ADD two matrices?

a)

They must be square.

b)

The dimensions must be equal.

c)

The determinant can't equal 0.

d)

The column of the 1st must equal the row of the 2nd.

106.

Perform the indicated operation. If it’s not possible, select Not Possible.

a)

7
-7
-6
20

b)

7
-9
-6
20

c)

Not Possible

d)

7
-9
2
20

107.

What is the entry at f₄₂?

a)

23

b)

-81

c)

-44

d)

99

e)

-56

108.

When you graph the system:
y > -2x + 1
y≤ x + 3
Which of the following is a solution?

a)

(2, 0)

b)

(-1, 2)

c)

(0, 4)

d)

(0, -4)

109.

Given the system, determine a solution.

a)

No solution

b)

Infinite solutions

c)

(-5, 5)

d)

(5, -5)

110.

Determine the ordered pair that IS a solution.

a)

(2, 2)

b)

(2, 4)

c)

(3, 2)

d)

(-3, 2)

111.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

112.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

113.

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week.

Which inequality represents the situation?

a)

x + y ≤ 8

b)

x + y > 8

c)

2x + 3y ≤ 6

d)

x + y ≤ 10

114.

It takes Sarah 2 hours to make small purses and 3 hours to make big purses. She has a maximum of 18 hours a week. Which inequality represents this situation?

a)

2x + 3y ≤ 18

b)

x + y ≤ 6

c)

x + y ≤ 9

d)

3x + 2y ≤ 18

115.

Write the system of inequalities
Carlos works at a movie theater selling tickets. The theater has 300 seats and charges $7.50 for adults and $5.50 for children. The theater expects to make at least $2000 for each showing.

a)

x+y≤300
7.5x+5.5y≥2000

b)

x+y<300
7.5x+5.5y≥2000

c)

x+y≤300
7.5x+5.5y≤2000

d)

x+y>2000
7.5x+5.5y≤300

116.

Which are vertices of the feasible region?

a)

(0, 3) (3, 0) (5, 8)

b)

(0, 6) (3, 5) (6, 5)

c)

(3, 3) (8, 5) (5, 8)

d)

(0, 5) (6, 0) (3, 3)

117.

Given the objective function: P = 30x + 50y

Which vertex maximizes the profit?

a)

(0,0)

b)

(6,2)

c)

(8,0)

d)

(0,6)

118.

Find the values of x and y that maximize the objective function P = 3x + 2y for the graph. What is the maximum value?

a)

maximum value at (5, 4); 32

b)

maximum value at (0, 8); 16

c)

maximum value at (9, 0); 27

d)

maximum value at (0, 0); 0

119.

Solve the system of inequalities. The feasible region is shown by the darkest blue shading.

a)

b)

c)

d)

120.

Solve:

2x + y = 16

4x - y = 2

a)

x = 3

y = 10

b)

x = -3

y = -10

c)

x = -3

y = 10

d)

x = 3

y = -10

121.

Find the solution of the simultaneous equations given the graph.

a)

(0, 2)

b)

(2, 2)

c)

(-1, 3)

d)

no solution

122.

Given the grap, the simultaneous equations has no solution.

a)

True

b)

False

123.

Two pencils and a ruler cost 49 cents in total. One pencil and two rulers cost 62 cents in total. Find the cost of each item.

a)

pencil: 13 cents

ruler: 23 cents

b)

pencil: 15 cents

ruler: 23.50 cents

c)

pencil: 12 cents

ruler: 25 cents

d)

pencil: 18 cents

ruler: 26 cents

124.

If a system of equations has infinitely many solutions, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

same lines

125.

If a system of equations has one solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

same lines

126.

Solve the system and determine the number of solutions it has. If it has one solution, name it.
$4x-6y=12$
$-2x+3y=-6$

a)

No Solution

b)

Infinitely Many Solutions

c)

One Solution; (6,2)

d)

One Solution; (3,0)

127.

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of colour brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of colour brochures. Which simultaneous equations represent this situation?

a)

x+y=134

x+y=120

b)

3x+3y=134

4x+3y=120

c)

4x+3y=134

3x+3y=120

d)

7xy=134

6xy=120

128.

a)

A

b)

B

c)

C

d)

D

129.

(a)

130.

Solve by substitution:
$2x-3y=-1$
$y=x-1$

a)

(3, 4)

b)

(4, 3)

c)

(4, 4)

d)

(3, 3)

131.

Solve by substitution:
$y=-3x+5$
$5x-4y=-3$

a)

(1, 2)

b)

(1, 1)

c)

(2, 1)

d)

(2, 2)

132.

Solve by elimination:
$-6x+6y=6$
$-6x+3y=-12$

a)

(-5, 6)

b)

(5, -6)

c)

(-5, -6)

d)

(5, 6)

133.

Solve by elimination:
$-2x-9y=-25$
$-4x-9y=-23$

a)

(-1, -1)

b)

(-1, 3)

c)

(3, -3)

d)

(-3, 3)

134.

Solve by elimination:
$5x+y=9$
$10x-7y=-18$

a)

(4, 1)

b)

(-1, 4)

c)

(1, 4)

d)

(4, -1)

135.

Solve by elimination:
$-4x+9y=9$
$x-3y=-6$

a)

(9, 5)

b)

(-9, 5)

c)

(9, -5)

d)

(-9, -5)

136.

What is the solution to the system of equations?

a)

(5, 2)

b)

(2, 5)

c)

(-5, 2)

d)

(-2, -5)

137.

What is the solution to the system of equations?

a)

(3, -2)

b)

(3, 2)

c)

(2, 3)

d)

(2, -3)

138.

What is the solution to the system of equations?

a)

(-5, -2)

b)

(2, -5)

c)

(2, 5)

d)

(-5, 2)

139.

What is the solution to the system of equations?

a)

(2, 3)

b)

(-3, 2)

c)

(2, -3)

d)

(3, 2)

140.

What is the solution to the system of equations?

a)

(-3, 4)

b)

(3, 4)

c)

(-4, 3)

d)

(4, 3)

Year 10 ixl SECTION from A to G + Z

Total questions: 140

Worksheet time: 12hrs 42mins

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