Free Printable Grade 7 End of term 2 revision 2023-2024

1.

Solve for y:
8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

2.

Solve for y:
4x + 3y = 9

a)

y = -3/4x + 3

b)

y = -4x + 9

c)

y = -4/3x + 3

d)

3y = -4x + 9

3.

Solve for y:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

4.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

5.

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

a)

3

b)

4x

c)

4

d)

x

6.

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

a)

-4

b)

-4x

c)

5

d)

-5

7.

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

8.

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

9.

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)

10.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

11.

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

12.

Which of these lines has a slope of -3?

a)

A

b)

B

c)

C

d)

D

13.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

14.

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

a)

A

b)

B

c)

C

d)

D

15.

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

16.

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

17.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

18.

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

19.

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

20.

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

21.

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

22.

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

23.

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

24.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

25.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

26.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

27.

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

28.

What is the equation of a line with a slope of 2 and a y-intercept of -5?

a)

y = 5x - 2

b)

y = 2x - 5

c)

y = -2x - 5

d)

y = 2x + 5

29.

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

30.

Which equation matches the graph?

a)

y= 2x + 5

b)

y= 2x

c)

y= -2x + 5

d)

y= -2x

31.

Which equation matches the graph?

a)

y= 2x + 5

b)

y= 2x

c)

y= -2x + 5

d)

y= -2x

32.

Which equation matches the graph?

a)

y= 3x - 5

b)

y= -3x - 5

c)

y= 3x + 5

d)

y= 3x + 5

33.

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

34.

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

a)

6

b)

5

c)

y

d)

-6

35.

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

36.

What direction is the line if the slope is positive?

a)

descending

b)

ascending

37.

What is the slope of the table?

a)

-4

b)

1

c)

4

d)

-2

38.

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

39.

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

40.

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

a)

1/-2

b)

-2/-1

c)

-2/1

d)

1/2

41.

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

42.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

43.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

44.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

45.

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

46.

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

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

47.

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

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

48.

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

a)

b)

c)

d)

49.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

50.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

51.

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

a)

b)

c)

d)

52.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

53.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

54.

What is the slope in the equation y=2x + 3?

a)

2

b)

3

c)

5

d)

Cannot be Determined

55.

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

56.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

57.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

58.

Write an equation for the line that passes through the given points:
$\left(-3,\ 5\right)$ and $\left(0,\ -1\right)$

a)

$y=-2x-1$

b)

$y=-\frac{1}{2}x-1$

c)

$y=-1$

d)

$y=-3x+5$

59.

Write the equation of the line passes through the point (2, 1) and has a slope of 4.

a)

$y=3x-2$

b)

$y=4x-7$

c)

$y=4x+7$

d)

$y=3x+3$

60.

Find the equation of the line that passes through the points: (-2, 4) and (1, 10)

a)

$y=2x-1$

b)

$y=-2x+1$

c)

$y=2x+8$

d)

$y=-2x$

61.

Describe the following graph.

a)

Increasing

b)

Decreasing

c)

Vertical

d)

Horizontal

62.

Write an equation for the line that passes through the given points:
$\left(-3,\ 5\right)$ and $\left(0,\ -1\right)$

a)

$y=-2x-1$

b)

$y=-\frac{1}{2}x-1$

c)

$y=-1$

d)

$y=-3x+5$

63.

What is the rate of change in the following equation: y = - 4x - 5 ?

a)

- 4

b)

- 4x

c)

5

d)

- 5

64.

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

a)

-4

b)

-4x

c)

5

d)

-5

65.

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)

66.

According to the table, what is the starting amount?

a)

-3

b)

0

c)

3

d)

20

67.

What is the initial value in this equation?

y=8x+6

a)

8

b)

6

c)

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

68.

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

a)

True

b)

False

69.

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

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

70.

What is the rate of change in the equation?
y=8x+6

a)

8

b)

6

71.

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

a)

y = -4x + 15

b)

c)

y = 2x - 3

d)

72.

Which panda is growing faster?

a)

Mochi

b)

Kappa

c)

Po the dragon warrior

d)

Jack Black

73.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

74.

Who is losing weight faster?

a)

Valerie

b)

Oscar

c)

Mrs. Conte

d)

They are losing the same amount of weight

75.

Graph the line with the equation
$y=1$

a)

b)

c)

d)

76.

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

a)

b)

c)

d)

77.

Write the equation of the line in standard form
$y=-2x+7$

a)

$2x-y=7$

b)

$2x+y=-7$

c)

$y+2x=7$

d)

$2x+y=7$

78.

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)

$y=x+3$

79.

Write the equation of the line in slope intercept form

a)

$y=\frac{2}{5}x-3$

b)

$y=-\frac{2}{5}x-3$

c)

$y=-\frac{5}{2}x-3$

d)

$y=\frac{5}{2}x-3$

80.

What is the y intercept

a)

$b=-6$

b)

$b=6$

c)

$b=\frac{2}{3}$

d)

$b=1$

81.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

82.

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

a)

$16

b)

$17

c)

$18

d)

$19

83.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

84.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

85.

A line with 0 slope looks like...

a)

A horizontal line

b)

A vertical line

c)

A slanted line

d)

A coordinate pair

86.

What type of Slope does this line have?

a)

Positive

b)

Negative

c)

No Slope

d)

Zero

87.

Find the slope.

a)

²/₅

b)

^-2/₅

c)

⁵/₂

d)

^-5/₂

88.

a)

9

b)

3

c)

6

d)

0

89.

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

a)

10

b)

1

c)

14

d)

23

90.

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

a)

10

b)

1

c)

14

d)

23

91.

Solve:

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

a)

y = -4

b)

y = 9

c)

y = 4

d)

y = 36/19

92.

Solve for k:
3k + 5 = 23

a)

k = 4

b)

k = 5

c)

k = 6

d)

k = 7

93.

-10y-6 = -10y-6

a)

No Solution

b)

One Solution

c)

Infinite Solutions

94.

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

a)

No solution

b)

One Solution

c)

Infinite Solutions

95.

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

a)

One Solution

b)

No Solution

c)

Infinite Solutions

96.

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

a)

One Solution

b)

No Solution

c)

Infinite Solutions

97.

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

a)

One Solution

b)

No Solution

c)

Infinite Solutions

98.

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

a)

One Solution

b)

No Solution

c)

Infinite Solutions

99.

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

a)

One Solution

b)

No Solution

c)

Infinite Solutions

100.

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

a)

No Solution

b)

One Solution

c)

Infinite Solution

101.

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

a)

No Solution

b)

One Solution

c)

Infinite Solution

102.

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

a)

No Solution

b)

One Solution

c)

Infinite Solution

103.

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

a)

No Solution

b)

One Solution

c)

Infinite Solution

104.

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

a)

No solution

b)

One Solution

c)

Infinite Solutions

105.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

106.

8z - 22 = 3 ( 3z + 11) -z

a)

No Solution

b)

One Solution

c)

Infinite Solutions

107.

What is the solution to the equations?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

108.

3(x − 1) = 2x + 9

a)

No Solution

b)

One Solution

c)

Infinitely Many Solutions

109.

2x − x + 7 = x + 3 + 4

a)

No Solutions

b)

Infinitely Many Solutions

c)

One Solution

110.

4(2x + 1) = 5x + 3x + 9

a)

One Solution

b)

Infinitely Many Solutions

c)

No Solutions

111.

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

a)

13

b)

1

c)

-1

d)

-13

112.

4x - 12 = 2x + 6

a)

x = 36

b)

x = -36

c)

x = -9

d)

x = 9

113.

2(x - 1) + 3 = 15

a)

x = 13/2

b)

x=-13/2

c)

x = -7

d)

x = 7

114.

Simplify the following + 16 + 7x + 8 - 7x

a)

x = 0

b)

No solution

c)

24

d)

-24

115.

Simplify the following: 12x - 6 + 9x - 3 - 15x

a)

6x -3

b)

21x - 9

c)

-6x -3

d)

6x - 9

116.

3y+6+4y-7=-8

a)

y=-1

b)

y=-8

c)

y=1

d)

y=7

117.

10(h+1)-4=76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

118.

7(1 - y) = -3(y - 2)

a)

x = 1/4

b)

x = 4

c)

x = 5

119.

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.

120.

2(3x+7) = x +10 +5x + 4

a)

2

b)

-4

c)

no solution

d)

all real numbers

121.

What is the first step in solving the equation 2a - 4(a - 5) = 10

a)

Add 4 to both sides

b)

Add the 2a and a

c)

Distribute 4 to a and -5

d)

Distribute -4 to a and -5

122.

Solve the equation:
3x - x + 4 = 4(2x +1)

a)

no solution

b)

infinite solutions

c)

x = 6

d)

x = 0

123.

Pristine House Cleaners charges $19.85 plus $32 per room. Sparkle House Cleaners charges $61.85 plus $18 per room. Write and solve an equation to find the number of rooms for which the total cost of both house cleaners is the same.

a)

4 rooms

b)

1/3 rooms

c)

3.5 rooms

d)

3 rooms

124.

The goal of solving a one, two, or multi-step equations is to:

a)

Find the constant

b)

Find the coefficient

c)

Find the value of the variable

d)

Guess and check

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.

Mrs. Burrell is buying donuts for a morning study session. She can spent $35. If it costs $3 per donut and $2 for a chocolate milk for herself, how many donuts did she buy for her students?

a)

12 donuts

b)

14 donuts

c)

10 donuts

d)

11 donuts

127.

Marianna wants to buy a new tennis racket that costs $57.50. She has $8 and plans to save $4.50 each week. How many weeks will it take her to save the money?

a)

$10\ weeks$

b)

$11\ weeks$

c)

$15\ weeks$

d)

$24\ weeks$

128.

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.

129.

Write an equation that could be used to solve this word problem: You bought a $5 magazine and four

erasers. You spent a total of $25. How

much did each eraser cost?

a)

5+x=25

b)

5+4x=25

c)

5x=25

d)

23-5=4x

130.

At Joe's Clown Car Rental Agency, renting a car costs a one time fee of $35 plus $0.75 for every mile it is driven. Which of the equations below would be the correct if it costs Melissa $105 to rent a car?

a)

105 = x(35 + 0.75)

b)

105 = 35x + 0.75

c)

105 = 0.75x + 35

d)

105 = 0.75(x + 35)

Grade 7 End of term 2 revision 2023-2024

Total questions: 130

Worksheet time: 6hrs 4mins

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