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Worksheets

Math - Algebra and Inequalities

Total questions: 22

Worksheet time: 12mins

Name
Class
Date
1.

What does PEMDAS stand for?

a)

Parentheses, Elimination, Multiplication, Division, Adding, Subtract

b)

Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

c)

Parentheses, Exponents, Multiplication, Division, Algebra, Subtraction

d)

Parentheses, Exponents, Multiplication, Division, Addition, Subduction

2.

Are there any additional rules to PEMDAS?

a)

Yes, you have to do PEMDAS from right to left. Just like how you solve problems vertically.

b)

Yes, multiplication and division as well as addition and subtraction has the same rank, so you do what appears first from right to left.

c)

Yes, multiplication and division as well as addition and subtraction has the same rank, so you do what appears first from left to right.

d)

No, you just follow the order. That's all.

3.

Solve using PEMDAS: 8 - 4 + 6 ÷ 3 ⋅ 5

a)

14

b)

Answer not displayed

c)

-7.33

d)

7.33

4.

x is equal or less than -4. How would you graph it on a number line?

a)

Open circle; pointing left; ≥

b)

Closed circle; pointing left; ≤

c)

Open circle; pointing right; ≤

d)

Closed circle; pointing right; ≥

5.

Graph z is more than or equal to 3 on a number line.

a)

Open circle; pointing left; <

b)

Closed circle; pointing right; ≥

c)

Closed circle; pointing left; ≤

d)

Open circle; pointing right; >

6.

How would you graph y is more than 6 on a number line?

a)

Closed circle; pointing left; ≥

b)

Closed circle; pointing right; <

c)

Open circle; pointing right; >

d)

Open circle; pointing left; >

7.

Find the mistake, 14 + x ⋅ 10 = 24x

a)

It's correct

b)

Do the inverse operations (do and undo): Now it'll be 14 - x ÷ 10. The correct answer is 14 - x/10.

c)

Add x to 14 and you'll get 14x. Then, multiply: 14x ⋅ 10 = 140x.

d)

14 and 10x are not like terms. 14 + 10x is the simplest form.

8.

How do you determine the difference between expressions and equations?

a)

Equations have no equal signs while expressions do.

b)

It doesn't really matter, they're almost the same.

c)

Expressions have no equal signs while equations do.

d)

Equations does not include operations while expressions do.

9.

What is the first thing you do here?

12x + 2y ⋅ 9 + 7 - 10x ÷ 2y

a)

Multiply

b)

Add all the coefficients together and merge the variables

c)

Collect like terms

d)

Divide

10.

18z = 162

a)

11

b)

9

c)

7

d)

14

11.

30/y = 5

a)

150

b)

25

c)

35

d)

6

12.

23 + x = 52

a)

75

b)

31

c)

29

d)

29x

13.

187 - a = 156

a)

343

b)

-31

c)

27

d)

31

14.

Define variable

a)

A replacement for an unknown number.

b)

A number on its own.

c)

A word that is useless in a number sentence.

15.

Define coefficient

a)

A number in front of a decimal.

b)

A number that makes number sentences easier.

c)

A number multiplied by itself.

16.

Define constants

a)

A number with variables

b)

A number that tells another how many times it should be multiplied by itself.

c)

A number on its own.

17.

Distribute: 72y + 24

a)

2 ( 34y + 12 )

b)

4 ( 18y + 6 )

c)

6 ( 12y + 4 )

d)

12 ( 6y + 2 )

18.

Define: Commutative Property

a)

The grouping of the numbers doesn't change the value of the sum/product.

b)

The order of the numbers doesn't change the value of the sum/product.

c)

A number that never changes even with impact.

d)

The order of the numbers doesn't change the value of the difference/quotient.

19.

Which of the following is true according to the Associative Property?

a)

12 + 7 and 7 + 12

b)

(2 + 4) and (4 + 8)

c)

19 (2 ⋅ 3) and (19 ⋅ 2) 3

d)

(16 + 8) 7 and 16 + (8 ⋅ 7)

20.

What are the only options to make the Identity Property?

a)

Add 0 and Multiply by 1

b)

Add 0 and Multiply by 0

c)

Add 1 and Multiply by 0

d)

Add 1 and Multiply by 1

21.

True or False: 2y and 3y2 are like terms

a)

True

b)

False

22.

(3 minutes) Solve: 8x + 12y2 + 4z + 11y + 5z + 18y2 + 7x

a)

15x + 41y2 + 9z

b)

15x + 30y2 + 9z + 11y

c)

65xyz2

d)

15x + 41y + 9z