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Worksheets

9th Grade Combined Review

Total questions: 52

Worksheet time: 33mins

Name
Class
Date
1.

Plot the point (2,4).

2.

Plot the point (6,-4)

3.

Plot the point (-8,4).

4.

Plot the point (-4,-2).

5.

Label the quadrants.

6.

Match the point with the correct graph.

a)

1.

(2,0)

b)

2.

(-2,0)

c)

3.

(0,-2)

d)

4.

(0,2)

7.

What is the coordinate of the following point?

a)

(4,1)

b)

(1,4)

c)

(-1,4)

d)

(4,-1)

8.

What is the coordinate of the following point?

a)

(2,-3)

b)

(-3,2)

c)

(-2,3)

d)

(3,-2)

9.

What is the coordinate of the following point?

a)

(-4,-1)

b)

(-4,1)

c)

(1,-4)

d)

(-1,-4)

10.

What does an ordered pair look like?

a)

(x,y)

b)

(y,x)

11.

Simplify the expression: 3x+4x3x + 4x .

a)

77

b)

7x7x

c)

12x12x

d)

xx

12.

Combine like terms: 7a+2b−3a7a+2b-3a .

a)

4a+2b4a+2b

b)

10a+2b10a + 2b

c)

6a6a

d)

10a+6b10a + 6b

13.

Recognize and combine like terms: 4z+3−z4z + 3 - z .

a)

3z+33z + 3

b)

3z−33z - 3

c)

4z−34z - 3

d)

3z3z

14.

Simplify the expression: 9−(3y+3y)9 - (3y + 3y) .

a)

9−6y9 - 6y

b)

6y+96y + 9

c)

9y9y

d)

12−6y12 - 6y

15.

Simplify the expression: −2p+3p−5-2p + 3p - 5 .

a)

p−5p - 5

b)

−5p-5p

c)

5p−55p - 5

d)

−p−5-p - 5

16.

Fill in the blank: Touching is _______

a)

Adding

b)

Subtracting

c)

Times-ing

d)

Dividing

17.

Fill in the blank: Fraction means _______

a)

Addition

b)

Subtraction

c)

Times-ing

d)

Division

18.

Opposite of Addition

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

19.

Opposite of Subtraction

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

20.

Opposite of Multiplication

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

21.

Opposite of Division

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

22.

How is the number connected to x: x+3x+3

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

23.

How is the number connected to x: x−9x-9

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

24.

How is the number connected to x: 12x12x

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

25.

How is the number connected to x: x4\frac{x}{4}

a)

Addition

b)

Subtraction

c)

Multiplication

d)

Division

26.

How would you get x by itself: x+5x+5

a)

Subtract 5

b)

Add 5

c)

Multiply 5

d)

Divide 5

27.

How would you get x by itself: x−7x-7

a)

Subtract 7

b)

Add 7

c)

Multiply 7

d)

Divide 7

28.

How would you get x by itself: 8x8x

a)

Subtract 8

b)

Add 8

c)

Multiply 8

d)

Divide 8

29.

How would you get x by itself: x9\frac{x}{9}

a)

Subtract 9

b)

Add 9

c)

Multiply 9

d)

Divide 9

30.

Match the following based on how you would get x by itself:

a)

x+2x+2

1.

Subtract 2

b)

x−2x-2

2.

Add 2

c)

2x2x

3.

Divide 2

d)

x2\frac{x}{2}

4.

Multiply 2

31.

Solve for xx : x+5=12x + 5 = 12

a)

6

b)

7

c)

17

d)

5

32.

Solve for xx : x−3=10x - 3 = 10

a)

7

b)

13

c)

5

d)

3

33.

Solve for xx : 3x=213x = 21

a)

7

b)

18

c)

24

d)

3

34.

Solve for xx : x4=2\frac{x}{4}=2

a)

6

b)

8

c)

2

d)

1

35.

Solve for xx : x6=4\frac{x}{6}=4

a)

10

b)

24

c)

12

d)

2

36.

What is slope-intercept form?

a)

y=mx+b

b)

Ax+By=C

c)

y-a=m(x-b)+c

d)

y2−y1x2−x1\frac{y_2-y_1}{x_2-x_1}

37.

What letter represents slope in slope-intercept form?

(a)  

38.

What letter represents the y-intercept in slope-intercept form?

(a)  

39.

What does the y-intercept tell us about a line?

a)

Where the line Begins

b)

How the line Moves

40.

What does the slope tell us about a line?

a)

Where the line Begins

b)

How the line Moves

41.

Simplify  2a - 5(a - 1)

a)
-3a + 1
b)
3a + 5
c)
-3a + 5
d)

-3a - 5

42.
Simplify  2(r +1) + 2r
a)
2r +2 + 2r
b)
4r + 2
c)
6
d)
6r
43.

What kind of slope does this graph show?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

44.

What kind of slope does this graph show?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

45.

What kind of slope does this graph show?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

46.

What kind of slope does this graph show?

a)

Positive

b)

Negative

c)

Undefined

d)

Zero

47.

What type of slope is shown in the image? (a)  

Choose from the below words
Positive
Negative
Undefined
Zero
48.

What type of slope is shown by the stairs in the image? (a)  

Choose from the below words
positive
negative
undefined
zero
49.
Find the slope.
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
50.
Which is the graph of y= -x + 2?
a)
A
b)
B
c)
C
d)
D
51.

When there are multiple layers of parentheses, where do you start simplifying?

Example: 5(x+2(3x-3))

a)

Innermost to outermost

b)

Outermost to innermost

c)

Just give up

52.

Determine whether the you would start solving the problem by distributing or combining like terms

Categorize the following

5(x+4(x−3))5\left(x+4\left(x-3\right)\right)  

7y+4(y−3(y+2))7y+4\left(y-3\left(y+2\right)\right)  

6(4+3(3−5))6\left(4+3\left(3-5\right)\right)  

5+(4+2(5−3))5+\left(4+2\left(5-3\right)\right)  

Distributing
Combining Like Terms