Free Printable Grade 7 End of term 2 Revision 2024-2025

1.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

2.

What side(s) will always be the longest on a right triangle?

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

3.

What side(s) will always be the shortest on a right triangle?

Select all that apply

a)

The Hypotenuse

b)

Leg A

c)

Leg B

d)

The Right Angle

4.

The legs form what type of angle?

a)

Acute

b)

Obtuse

c)

Reflex

d)

Right

5.

What is the relationship between the sides in the Pythagorean Theorem shown?

Hint: Think about when the hypotenuse is missing!

a)

a + b = c

b)

a² + b² = c²

c)

a² – b² = c²

d)

a – b = c

6.

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

a)

Yes

b)

No

7.

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

a)

9

b)

40

c)

41

8.

Do the segment lengths 9, 12, and 15 form a right triangle?

a)

Yes

b)

No

9.

Do these 3 side lengths form a right triangle?
13, 80, and 81?

a)

yes

b)

no

10.

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

a)

yes

b)

no

11.

Isabella has sticks that are 10cm, 11cm, and 13cm long. Can she place the sticks together to form a right triangle? Justify your answer.

a)

No, because 10+11 does not equal 13

b)

No, because 100+121 does not equal 169

c)

Yes, because there is a small side, medium side and long side

d)

Yes, because a triangle has 3 sides

12.

How long is the hypotenuse of this triangle?

(a)

13.

Is this a right triangle?

a)

Yes

b)

No

14.

Is this a right triangle?

a)

Yes

b)

No

15.

Is this a right triangle?

a)

Yes

b)

No

16.

Is a triangle with side lengths of 12, 9, and 15 a right triangle?

a)

Yes

b)

No

17.

Is a triangle with side lengths of 7, 4, and 4 a right triangle?

a)

Yes

b)

No

18.

Find the missing side.

a)

11

b)

12

c)

13

d)

14

19.

A triangle has legs that are 7 inches and 24 inches long. How long is the hypotenuse?

a)

23

b)

26

c)

28

d)

25

20.

Which sides are the legs of the triangle?

a)

9 and 15

b)

9 and 12

c)

12 and 15

d)

15

21.

Which equation can be used to solve for "x"?

a)

15² – x² = 21²

b)

x² – 15² = 21²

c)

15² + 21² = x²

d)

21² – 15² = x²

22.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

23.

Find the value of x.

a)

7

b)

8

c)

9

d)

10

24.

solve for c

a)

7

b)

9

c)

4

d)

13

25.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

26.

Find the missing side length.

a)

$\sqrt[]{73}\ cm$

b)

$\sqrt[]{17}\ \ cm$

c)

$73\ \ cm$

d)

$\sqrt[]{13}\ \ cm$

27.

Find the missing side length.

a)

$\sqrt[]{5}\ ft$

b)

$\sqrt[]{493}\ ft$

c)

$\sqrt[]{31}\ ft$

d)

$\sqrt[]{155}\ ft$

28.

Find the length of the missing side

a)

17

b)

15

c)

22

d)

13

29.

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

a)

$17^2+8^2=b^2$

b)

$8^2+b^2=17^2$

c)

$17^2+b^2=8^2$

d)

$\frac{8^2}{b^2}=\frac{17^2}{100}$

30.

The Pythagorean is used to find what

a)

missing sides only

b)

missing angles only

c)

either missing sides or angles

31.

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school?

a)

14 blocks

b)

12 blocks

c)

10 blocks

d)

8.5 blocks

32.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

33.

Which equation is modeled by the picture shown?

a)

3²+5²=4²

b)

3²+4²=5²

c)

5²+4²=3²

d)

9²+16²=25²

34.

A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?

a)

9ft

b)

11ft

c)

6ft

d)

14ft

35.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

36.

a)

7 ft

b)

5 ft

c)

3 ft

d)

2 ft

37.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

38.

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

a)

5

b)

7

c)

10

d)

12

39.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

40.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

12 feet

b)

13.9 feet

c)

169 feet

d)

18 feet

41.

Find the length of line segment AD to one decimal place (tenths).

(a)

42.

Given the following figure find the measure of d.

a)

23.7

b)

5.3

c)

29

d)

17

43.

Solve for y:
8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

44.

Solve for y:
4x + 3y = 9

a)

y = -3/4x + 3

b)

y = -4x + 9

c)

y = -4/3x + 3

d)

3y = -4x + 9

45.

Solve for y:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

46.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

47.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

48.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

49.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

50.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

51.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

52.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

53.

Which of these lines has a slope of -3?

a)

A

b)

B

c)

C

d)

D

54.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

55.

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

a)

A

b)

B

c)

C

d)

D

56.

Which equation matches the graph? (Click me to see the image)

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = -2x

57.

Write the slope intercept form of the equation graphed.

a)

y = -2x + 3

b)

y = 1.5x + 2

c)

y = 2x - 3

d)

y = -1.5x - 2

58.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

59.

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

a)

2/3

b)

-2/3

c)

3

d)

-2

60.

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

a)

3

b)

-1

c)

-1/3

d)

1/3

61.

What is the equation of a line with a slope of 4 and a y-intercept of 2?

a)

y = -4x + 2

b)

y = -2x + 4

c)

y = 4x + 2

d)

y = 2x + 4

62.

What is the equation of a line when m = -3 and b = 5?

a)

y = -3x + 5

b)

y = -3x - 5

c)

y = 5x + 3

d)

y = -5x - 3

63.

What is the equation of a line when m = -7 and b = -8?

a)

y = -7x + 8

b)

y = -7x - 8

c)

y = 7x - 8

d)

y = 7x + 8

64.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

65.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

66.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

67.

For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the cost, C, after h hours of babysitting.

a)

C = 5h + 3

b)

C = 3h + 5

c)

H = 5c + 3

d)

H = 3c + 5

68.

Which equation matches the graph?

a)

y= 2x + 5

b)

y= 2x

c)

y= -2x + 5

d)

y= -2x

69.

Which equation matches the graph?

a)

y= 2x + 5

b)

y= 2x

c)

y= -2x + 5

d)

y= -2x

70.

Which equation matches the graph?

a)

y= 3x - 5

b)

y= -3x - 5

c)

y= 3x + 5

d)

y= 3x + 5

71.

What is the equation of this line in slope-intercept form?

a)

y = 2x + 5

b)

y = -2x + 5

c)

y = -2x

d)

y = 5

72.

What is 'b' in this linear equation? y= 5x - 6

a)

6

b)

5

c)

y

d)

-6

73.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

74.

What direction is the line if the slope is positive?

a)

descending

b)

ascending

75.

What is the slope of the table?

a)

-4

b)

1

c)

4

d)

-2

76.

The 'rise' in rise/run tells us which way to go on which axis?

a)

y-axis

b)

x-axis

c)

coordinate plane

d)

y-intercept

77.

The 'run' in rise/run tells us which directions to go on the x-axis?

a)

up and down

b)

diagonal

c)

left and right

78.

When the slope is -2, what is our rise/run?

a)

1/-2

b)

-2/-1

c)

-2/1

d)

1/2

79.

If you have a negative slope which direction should your line be going from left to right.

a)

ascending

b)

descending

c)

left

d)

right

80.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

81.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

82.

Write a linear equation in slope intercept form of a line with a slope of -3 and y intercept of 0

a)

y=-3

b)

y=3x

c)

y=-3x

d)

x=-3

83.

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

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

84.

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

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

85.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

86.

Graph the line with the equation
$y\ =\ -\frac{1}{3}x\ -\ 4$

a)

b)

c)

d)

87.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

88.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

89.

Find the slope given the following points: (5,1) and (3,1)

a)

m=1/4

b)

m=0

c)

m=1

d)

m=undefined

90.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

91.

Describe the following graph.

a)

Increasing

b)

Decreasing

c)

Vertical

d)

Horizontal

92.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

93.

According to the table, what is the starting amount?

a)

-3

b)

0

c)

3

d)

20

94.

What is the initial value in this equation?

y=8x+6

a)

8

b)

6

c)

$\frac{6}{8\ }or\ \frac{3}{4}$

95.

The y-intercept represents the initial value, true or false.

a)

True

b)

False

96.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

97.

Which function of x has the least value for the y-intercept?

a)

y = -4x + 15

b)

c)

y = 2x - 3

d)

98.

Graph the line with the equation
$y=1$

a)

b)

c)

d)

99.

Graph the line with the equation
$y=5x$

a)

b)

c)

d)

100.

Write the equation of the line in slope intercept form
$x+y=-3$

a)

$y=-x-3$

b)

$y=x-3$

c)

$y=-x+3$

d)

$y=x+3$

101.

How much does it cost to have your lawn mowed for 2 hours?

a)

$16

b)

$17

c)

$18

d)

$19

102.

A line with 0 slope looks like...

a)

A horizontal line

b)

A vertical line

c)

A slanted line

d)

A coordinate pair

103.

Find the slope.

a)

²/₅

b)

^-2/₅

c)

⁵/₂

d)

^-5/₂

104.

a)

9

b)

3

c)

6

d)

0

105.

-12(x - 1) = -3(x - 1)

a)

10

b)

1

c)

14

d)

23

106.

-12(x - 1) = -3(x - 1)

a)

10

b)

1

c)

14

d)

23

107.

Solve:

5y + 34 = -2(-7y + 1)

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

108.

Solve for k:
3k + 5 = 23

a)

k = 4

b)

k = 5

c)

k = 6

d)

k = 7

109.

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

110.

6(m+3)=2(m+5)

a)

No solution

b)

One Solution

c)

Infinite Solutions

111.

How many solutions does the equation have
6x + 3 = 6x + 3

a)

One Solution

b)

No Solution

c)

Infinite Solutions

112.

How many solutions does the equation have
3t + 5 = 4t + 7

a)

One Solution

b)

No Solution

c)

Infinite Solutions

113.

How many solutions does the equation have
-2 ( -4x + 7 ) = -2 + 4x

a)

One Solution

b)

No Solution

c)

Infinite Solutions

114.

How many solutions does the equation have
4 ( 8n - 1 ) = 19 + 32n

a)

One Solution

b)

No Solution

c)

Infinite Solutions

115.

How many solutions does the equation have
3x + 7 + 2x = 5x + 7

a)

One Solution

b)

No Solution

c)

Infinite Solutions

116.

-4(3x + 2) = 3(-4x + 5)

a)

No Solution

b)

One Solution

c)

Infinite Solution

117.

-3(x + 6) = -3(2x + 4)

a)

No Solution

b)

One Solution

c)

Infinite Solution

118.

5x + 4 = 3(2x - 5) - (x + 5)

a)

No Solution

b)

One Solution

c)

Infinite Solution

119.

-2(3m + 6) = -3(4 +2m)

a)

No Solution

b)

One Solution

c)

Infinite Solution

120.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

121.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

122.

Solve for d:
-7(6 + d) = 49

a)

13

b)

1

c)

-1

d)

-13

123.

4x - 12 = 2x + 6

a)

x = 36

b)

x = -36

c)

x = -9

d)

x = 9

124.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

125.

What is the first step to solve this equation?
x - 5 = 7 - 2x

a)

Add 7 to both sides of the equation

b)

Add 2x to both sides of the equation

c)

Subtract 2x from both sides of the equation

d)

Subtract 5 from both sides of the equation

126.

What is the first step to solve this equation:

- 3x -11 = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

Grade 7 End of term 2 Revision 2024-2025

Total questions: 126

Worksheet time: 5hrs 1mins

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