Free Printable Grade 7 End of Year Revision

1.

How many solutions does this system of equations have?

y=2x-1.5

-2x+y=-1.5

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

2.

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

3.

What is the solution to this system of equations?
$y=x-2$
$y=-2x+1$

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

4.

What is the first step in solving a system by graphing?

a)

Write both linear equations in slope-intercept form

b)

Get x by itself

c)

Compare the slopes of both equations

d)

Write both equations in standard form

5.

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

6.

The solution to a system of equations is any ordered pair that makes both equations true.

a)

TRUE

b)

FALSE

7.

What is the solution?

a)

(2, 2)

b)

(3, 2)

c)

(3, 4)

d)

(2, 3)

8.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

9.

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

a)

Intersecting lines

b)

Same line

c)

Parallel lines

10.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

11.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

12.

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales.
Which system best represents the situation?

a)

4x + 7y = 578
x + y = 3365

b)

4x + 7y = 3365
x + y = 578

c)

4y + 7x = 578
x + y = 3365

d)

4x + 7 = 3365
x + 7y = 578

13.

What is a solution of a linear system?

a)

the slope of the line

b)

the y-intercept

c)

the point where the graphs intersect

d)

the rise over run

14.

Solve this system by substitution.

a)

(1, -4)

b)

(1, 4)

c)

(-4, -7)

d)

(-7, -4)

15.

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

a)

X because they have opposite signs

b)

Y because they have opposite signs

16.

Solve the system given:
3x - y = 7
2x + y = 3

a)

(-1,2)

b)

(5,4)

c)

(4,5)

d)

(2,-1)

17.

Solve using elimination.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

(−6, 10)

d)

(6, 4)

18.

Solve using elimination.
-4x - 6y = 6
4x + 6y = -4

a)

no solution

b)

(2,0)

c)

(-4,0)

d)

(0,0)

19.

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

a)

(6, 6)

b)

(6, 9)

c)

(9, 6)

d)

(9, 9)

20.

If the solution is infinitely many the lines will ________?

a)

intersect at exactly one point

b)

be parallel

c)

overlap each other

d)

never exist

21.

Solve for y:
8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

22.

Solve for y:
4x + 3y = 9

a)

y = -3/4x + 3

b)

y = -4x + 9

c)

y = -4/3x + 3

d)

3y = -4x + 9

23.

Solve for y:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

24.

At a taco shop the cost for a taco is $1.50 and the cost for a coffee is $2.00. What are the variables?

a)

Type of tacos

b)

Type of coffee

c)

Tacos, coffee

25.

There are 50 donkeys and chickens on a far. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

a)

d + c = 174
4d + 2c = 50

b)

d + c = 50
4d + 2c = 174

c)

d + c = 50
2d + 4c = 174

d)

d + c = 174
2d + 4c = 50

26.

Does the system have one, none or infinite solutions?
8x + 4y = 12
y = -2x + 3

a)

(0,3)

b)

(3,0)

c)

No solution(parallel lines)

d)

Infinitely many solutions

27.

The number that is multiplied by the variable

a)

Idependent

b)

Dependent

c)

Coefficient

d)

Parallel

28.

How many solutions in this system?

a)

One Solution

b)

No Solution

c)

Infinitely Many Solutions

29.

The first equation in the system is y = 2x - 3. Pick a second equation from the list below so that the system has no solution.

a)

y = 2x + 4

b)

y = 1/2x + 2

c)

-2x + y = -3

d)

2y = 4x - 6

30.

The first equation in the system is y = 2x - 3. Pick a second equation from the list below so that the system has infinitely many solutions.

a)

y = 2x + 4

b)

y = 1/2x + 2

c)

2x + y = -3

d)

2y = 4x - 6

31.

The first equation in the system is y = 2x - 3. Pick a second equation from the list below so that the system has one solution.

a)

y = 2x + 4

b)

y = 1/2x + 2

c)

-2x + y = -3

d)

2y = 4x - 6

32.

How would you describe the behavior of this function on the domain interval (-1, 1)?

a)

increasing

b)

decreasing

c)

constant

33.

When is the function decreasing?

a)

(30, 55)

b)

(40, 60]

c)

(15, 40)

d)

(60, -40)

34.

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

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

35.

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

a)

3

b)

4x

c)

4

d)

x

36.

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

a)

-4

b)

-4x

c)

5

d)

-5

37.

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

38.

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

39.

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)

40.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

41.

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

42.

Which of these lines has a slope of -3?

a)

A

b)

B

c)

C

d)

D

43.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

44.

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

a)

A

b)

B

c)

C

d)

D

45.

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

46.

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

47.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

48.

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

49.

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

50.

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

51.

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

52.

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

53.

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

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.

What is the equation of this line?

a)

y = 2x +2

b)

y = 2x -2

c)

y = -x + 2

d)

Cannot be Determined

56.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

57.

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

58.

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

59.

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

60.

Which equation matches the graph?

a)

y= 2x + 5

b)

y= 2x

c)

y= -2x + 5

d)

y= -2x

61.

Which equation matches the graph?

a)

y= 2x + 5

b)

y= 2x

c)

y= -2x + 5

d)

y= -2x

62.

Which equation matches the graph?

a)

y= 3x - 5

b)

y= -3x - 5

c)

y= 3x + 5

d)

y= 3x + 5

63.

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

64.

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

a)

6

b)

5

c)

y

d)

-6

65.

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

66.

What direction is the line if the slope is positive?

a)

descending

b)

ascending

67.

What is the slope of the table?

a)

-4

b)

1

c)

4

d)

-2

68.

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

69.

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

70.

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

a)

1/-2

b)

-2/-1

c)

-2/1

d)

1/2

71.

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

72.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

73.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

74.

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

a)

2

b)

3

c)

5

d)

Cannot be Determined

75.

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

76.

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

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

77.

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

a)

y-intercept

b)

macaroni

c)

nothing

d)

slope

78.

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

a)

b)

c)

d)

79.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

80.

Find the slope of the line.

a)

1/2

b)

-1/2

c)

2

d)

-2

81.

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

a)

b)

c)

d)

82.

Does this represent Y as a function of X?

a)

Yes

b)

No

c)

oohhh.....Spider Webbs!

83.

Does this represent a function?

a)

Yes

b)

No

84.

Given the points (3, 5) (2, 4) (9, 0) and (?, 6). What could replace the ? to create a non-function?

a)

1

b)

3

c)

4

d)

7

85.

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

a)

(3, 7)

b)

(4, 1)

c)

(1, 9)

d)

(2, 6)

86.

Does the mapping represent a function?

a)

Yes

b)

No

c)

Sometimes

d)

IDK

87.

Which graph is not a function?

a)

b)

c)

d)

88.

How do you know if a map shows a function?

a)

It has arrows

b)

Each output has exactly one arrow to an input.

c)

Each input has exactly one arrow to an output.

d)

Each input has more than one arrow to an output.

89.

True or False: All functions are relations but not all relations are functions.

a)

True

b)

False

90.

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

91.

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

92.

a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

93.

Which set of values 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)

94.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

95.

Is this table a function or not a function?

a)

Function

b)

Not a Function

96.

Which of these functions are linear?

Select two answers.

a)

$y\ =\ 3\ -\ x^2$

b)

$y=x$

c)

d)

e)

$y\ =\ x^3\ +\ 3$

97.

Is function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

98.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

99.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

100.

Determine if the graph is linear or nonlinear.

a)

Linear

b)

Nonlinear

101.

Slope is another word for:

a)

Initial Value

b)

Rate of Change

c)

Change in Y's

d)

Y-intercept

102.

What is the definition of a 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

103.

Does the graph represent a function?

a)

The graph is a function because it passes the vertical line test.

b)

The graph is a function because it passes the horizontal line test.

c)

The graph is not a function because it fails the vertical line test.

d)

The graph is not a function because it fails the horizontal line test.

104.

Is the table a function or not a function?

a)

Function

b)

Not a function

105.

Which show a linear function? Select 2.

a)

b)

c)

d)

106.

To identify non-linear equations, we look for...

a)

exponents

b)

parentheses

107.

Select the linear equation.

a)

b)

108.

Select the linear equation.

a)

b)

109.

Is this function linear or nonlinear?

a)

linear function

b)

nonlinear function

110.

Does this table represent a function?

a)

Function

b)

Not a Function

111.

Is this relation a function?

a)

True

b)

False

112.

Determine if (-3,-7) is a solution to 3x+2y=-23

a)

Not a Solution

b)

Solution

113.

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

a)

2

b)

3

c)

5

d)

Cannot be Determined

114.

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

115.

What is the rate of change for the following graph?

a)

80

b)

20

c)

40

d)

160

116.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

117.

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)

$y=-3x+5$

118.

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)

$y=3x+3$

119.

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)

$y=-2x$

120.

Describe the following graph.

a)

Increasing

b)

Decreasing

c)

Vertical

d)

Horizontal

121.

Does the table represent a linear function, a non-linear function, or is it not a function?

a)

Linear Function

b)

Non-Linear Function

c)

Not a Function

122.

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)

$y=-3x+5$

123.

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

a)

- 4

b)

- 4x

c)

5

d)

- 5

124.

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

a)

-4

b)

-4x

c)

5

d)

-5

125.

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)

126.

According to the table, what is the starting amount?

a)

-3

b)

0

c)

3

d)

20

127.

What is the initial value in this equation?

y=8x+6

a)

8

b)

6

c)

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

128.

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

a)

True

b)

False

129.

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

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

130.

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

a)

8

b)

6

131.

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

a)

y = -4x + 15

b)

c)

y = 2x - 3

d)

132.

Which panda is growing faster?

a)

Mochi

b)

Kappa

c)

Po the dragon warrior

d)

Jack Black

133.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

134.

Who is losing weight faster?

a)

Valerie

b)

Oscar

c)

Mrs. Conte

d)

They are losing the same amount of weight

135.

Graph the line with the equation
$y=1$

a)

b)

c)

d)

136.

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

a)

b)

c)

d)

137.

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)

$2x+y=7$

138.

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)

$y=x+3$

139.

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)

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

140.

What is the y intercept

a)

$b=-6$

b)

$b=6$

c)

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

d)

$b=1$

141.

Find the slope from the table.

a)

-4

b)

1

c)

4

d)

-2

142.

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

a)

$16

b)

$17

c)

$18

d)

$19

143.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

144.

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

145.

A line with 0 slope looks like...

a)

A horizontal line

b)

A vertical line

c)

A slanted line

d)

A coordinate pair

146.

What type of Slope does this line have?

a)

Positive

b)

Negative

c)

No Slope

d)

Zero

147.

Find the slope.

a)

²/₅

b)

^-2/₅

c)

⁵/₂

d)

^-5/₂

Grade 7 End of Year Revision

Total questions: 147

Worksheet time: 7hrs 0mins

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