Free Printable Simplifying Expressions and Identifying Parts of an Express.

1.

List the coefficients from the expression shown:

8a + 4 + a + 2

a)

8, 4, 2

b)

8, 4, 1, 2

c)

8, 1

d)

8

2.

List the constant terms from the expression below:

-12p + 3 + 19 + 17p

a)

3, 19

b)

-12, 17

c)

-12, 3, 19, 17

d)

12, 3, 19, 17

3.

Identify the like terms from the expression:

$p^2\ +\ 12p\ -26\ +\ 4p$

a)

$p^2,\ 12p,\ 4p$

b)

$12p,\ 4p$

c)

$-26$

d)

$\ p^2,\ 12p,\ -26,\ 4$

4.

Simplify the expression:

8p + 15 + 4p + 17

a)

44

b)

12p

c)

12p + 32

d)

4p + -2

5.

Simplify the expression:

-5a + 4 + 3a + 6

a)

8a + 10

b)

-2a + 10

c)

2a + 10

d)

8

6.

Simplify the expression:

9c + 12 + (-8) + (-5c)

a)

14c + 20

b)

4c + 20

c)

4c + 4

d)

8

7.

Simplify the expression:

9c + 12 - 7c

a)

16c + 12

b)

2c + 12

c)

28c

d)

11c

8.

Terms that have the same exponent and the same variable are called:

a)

coefficients

b)

terms

c)

like terms

d)

constant terms

9.

Simplify the expression:

a + c + 2a + 6c + a + 9a + c + a

a)

11a + 6c

b)

13a + 8c

c)

14a + 8c

d)

22

10.

Terms without variables are called:

a)

coefficients

b)

like terms

c)

constant terms

d)

terms

11.

Simplify the expression:

6p - 12 - 3p + 16

a)

9p + 28

b)

3p + 4

c)

3p + (-28)

d)

9p + 4

12.

Simplify the expression:

-7c - 12 - 5c - 1

a)

-12c - 13

b)

-25

c)

12c + 13

d)

-12c + 13

13.

Select the first step that you would do to simplify this expression: 9c - 16 - 4c + 20

a)

reorder the terms

b)

combine the like terms

c)

rewrite the expression as addition

d)

substitute

14.

Evaluate the expression when a = - 4, b = 3 and c = - 8:

$\frac{c}{a}\ +b^3$

a)

27

b)

11

c)

-7

d)

29

15.

Trenton simplified the following expression. What did he do wrong?

$-7r\ +\ r^2\ +\ 15\ +\ r\ -\ 18\ =\ -5r\ -3$

a)

he combined the constant terms incorrectly; the correct simplified expression is -5r + 33

b)

he should have combined all of the terms; the correct simplified expression is -8

c)

$r^2$ should not be combined with -7r and r because it does not have the same exponent; the correct simplified expression is $r^2\ -\ 6r\ -3$

d)

he should have combined all of the terms; the correct simplified expression is 49

16.

Write an expression for the following:

Twice a number minus five.

a)

1/2a - 5

b)

2a + 5

c)

2a - 5

d)

1/2a + 5

17.

Mary bought lunch at Jimmy's Cafe. She purchased some chicken fingers (c) for $1.25 each and a soda for $2.50. Write an expression for the situation.

a)

2.50c - 1.25

b)

2.50c + 1.25

c)

1.25c + 2.50

d)

1.25c - 2.50

18.

Write an expression for the following:

-1/2a - 7

a)

One half of a number minus seven.

b)

Negative one half a number minus seven.

c)

Negative one half plus seven.

d)

One half of a number plus seven.

19.

Translate the given expression:

9p + 20

a)

The difference of nine and a number plus twenty.

b)

The quotient of nine times a number and twenty.

c)

Nine times a number plus twenty.

d)

The sum of twenty and a number plus nine.

20.

Simplify the expression:

9a + 12 + (-8) + (-5a)

a)

14a + 20

b)

4a + 20

c)

4a + 4

d)

8

Simplifying Expressions and Identifying Parts of an Express.

Total questions: 20

Worksheet time: 5hrs 0mins

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