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Quiz: Alg 1A STND: Expressions, Order of Ops, Dist. Prop Re - Printable Mathematics Worksheets - Wayground

Quiz: Alg 1A STND: Expressions, Order of Ops, Dist. Prop Re

34 questions

7th - 10th Grade

Mathematics

Quiz: Alg 1A STND: Expressions, Order of Ops, Dist. Prop Re is a Grade 7–10 mathematics worksheet focused on translating verbal statements into algebraic expressions, substituting given values, simplifying expressions, applying the distributive property, and following the order of operations. Examples include representing “five times an age increased by 9,” evaluating expressions with negative values and exponents, and identifying multiplication as the first step in a mixed operation. The worksheet contains 34 questions: 32 multiple-choice items and 2 fill-in-the-blank items. It gives students repeated practice distinguishing addition from multiplication in expressions, using parentheses correctly, evaluating variable expressions accurately, and selecting or writing an answer based on algebraic reasoning. This free printable worksheet includes a complete answer key for independent practice, guided instruction, homework, or a quick skills check.

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Quiz: Alg 1A STND: Expressions, Order of Ops, Dist. Prop Re

Total questions: 34

Name
Class
Date
1.
Write the algebraic expression for:
Five times Mike's age and increased by 9
a)
5(x+9)
b)
9(5+x)
c)
9x+5
d)
5x+9
2.

Evaluate expression:    12a − 5b\frac{1}{2}a\ -\ 5b  
when a= 12 and b= -3

a)

-21

b)

-9

c)

9

d)

21

3.

b2 + 4

when b = 3

a)

10

b)

12

c)

13

d)

11

4.
Evaluate the expression:
4h + 2g + 4
Let g = 3    h = 9 
a)
42
b)
46
c)
34
d)
58
5.
Write the algebraic expression for:
Three times the sum of 2 and e. 
a)
3e+2
b)
3(e-2)
c)
3(e+2)
d)
2e+3
6.
Evaluate when
a = 15:
2(a - 5) + 2
a)
22
b)
27
c)
14
d)
7
7.
Evaluate m²-3
if m = 5
a)
10
b)
25
c)
7
d)
22
8.

Evaluate: b(b + 12)

If b = 2

a)

28

b)

14

c)

144

d)

24

9.

If I have 15 more Pokemon cards than Jackson, which algebraic expression shows how many I have?

a)

x-15

b)

x+15

c)

15x

d)

15/x

10.

Evaluate: 13 + 6x

If x = 2

a)

25

b)

21

c)

38

11.

Write an algebraic expression for the amount you spent if you buy a shirt for $20 and jeans for x dollars

a)

20-x

b)

20+x

c)

x-20

d)

20x

12.
40 + (72 ÷ 9) ÷ 8
a)
49
b)
6
c)
41
d)
15
13.
27 ÷ 3 x 2 + 42
a)
34
b)
20.5
c)
26
14.

Strawberries are $1.95 per pound. Write an algebraic expression for the cost of p pounds of strawberries.

a)

$1.95+p

b)

$1.95-p

c)

$1.95/p

d)

$1.95p

15.
What would be your first step?
3 + 4 x 6 - 4 
a)
addition
b)
multiplication
c)
subtraction
d)
exponents
16.

Evaluate 2r + 1 if r = 3

(a)  

17.

Evaluate 2a + 4b

if a = 10 and b = 6

(a)  

18.
4(-x - 6)
a)
4x - 24
b)
4x + 24
c)
-4x + 24
d)
-4x - 24
19.
-3(2x - 5)
a)
-6x - 15
b)
-6x + 15
c)
6x + 15
d)
6x - 15
20.
Simplify the following expression:
-10x - 9x + 1
a)
-19x + 1
b)
-19x2 + 1
c)
-10x - 8
d)
-19x - 1
21.
Simplify:
3(9 + 2d) + 4d 
a)
18d+10d
b)
18d-10d
c)
27+10d
d)
37d
22.

 12(4x − 10)\frac{1}{2}\left(4x\ -\ 10\right)  Simplify.

a)

8x-5

b)

2x+5

c)

2x-5

d)

8x-20

23.
State the domain of the relation.
a)
{ 8, -6, 2, 0 }
b)
( 8, -6, 2, 0 )
c)
(5, -9, 5, -8)
d)
{ 5, -9, 5, -8 }
24.
State the range of the relation. 
{ (3, -2) , (4, -3), (5, -4), (6, 0) }
a)
(3, -2, 4, -3)
b)
(-2, -3, -4, 0)
c)
{ -2, -3, -4, 0 }
d)
{ 3, 4, 5, 6 }
25.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
26.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
27.

The first number in an ordered pair is...

a)

the larger number.

b)

the origin.

c)

the x-coordinate.

d)

the y-coordinate.

28.

The left grouping in a mapping is the...

a)

domain.

b)

range.

c)

y-axis.

d)

relation.

29.

The right grouping in a mapping is the...

a)

domain.

b)

range.

c)

x-axis.

d)

coordinate system.

30.

How well did you understand the concepts?

a)

I know it well enough to teach it.

b)

I think I get it.

c)

I could get it with more help.

d)

I do not understand at all.

31.

The plane containing the x-axis and the y-axis is the...

a)

grid system

b)

coordinate system

c)

ordered pair

d)

coordinate plane

32.

The point where the two axes intersect in known as...

a)

the center.

b)

the relation.

c)

the intersection.

d)

the origin.

33.
Identify the domain of the following relation:
a)
{-6, 14, 2, 28}
b)
{(-6,14), (0,32), (2,38), (4,44)}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
34.
What is the range?
a)
{-2, -1, 0, 3}
b)
{3, 0, -1, 0, -2}
c)
{-4, -2, 1, 2, 5}
d)
{-4, -2, -1, 0, 1, 2, 3, 5}
Answer Key

Quiz: Alg 1A STND: Expressions, Order of Ops, Dist. Prop Re

Total questions: 34

1.
d) 5x+9
2.
d)

21

3.
c)

13

4.
b) 46
5.
c) 3(e+2)
6.
a) 22
7.
d) 22
8.
a)

28

9.
b)

x+15

10.
a)

25

11.
b)

20+x

12.
c) 41
13.
a) 34
14.
d)

$1.95p

15.
b) multiplication
16.
7
17.
44
18.
d) -4x - 24
19.
b) -6x + 15
20.
a) -19x + 1
21.
c) 27+10d
22.
c)

2x-5

23.
a) { 8, -6, 2, 0 }
24.
c) { -2, -3, -4, 0 }
25.
a) Domain
26.
b) Range
27.
c)

the x-coordinate.

28.
a)

domain.

29.
b)

range.

30.
n/a
31.
d)

coordinate plane

32.
d)

the origin.

33.
c) {-6, 0, 2, 4}
34.
a) {-2, -1, 0, 3}

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FAQs

What does this worksheet cover?

This worksheet covers writing algebraic expressions from verbal descriptions, substituting values for variables, simplifying expressions, using the distributive property, and applying the order of operations. Its 34 items—32 multiple-choice questions and 2 fill-in-the-blank questions—require students to interpret phrases such as “times,” “increased by,” and “sum,” then evaluate expressions with parentheses, exponents, negative values, and multiple operations.

How can I use this worksheet to teach writing and evaluating algebraic expressions?

Introduce the worksheet by modeling how verbal phrases translate into symbols, emphasizing that “five times an age increased by 9” becomes 5x + 9 while “three times the sum” requires parentheses. Then solve a few substitution and order-of-operations examples aloud, asking students to identify the next operation before calculating; use the multiple-choice options to discuss why common distractors reverse the operation or omit parentheses. Finish with the fill-in-the-blank items as a check for independently written solutions.

What mistakes should I watch for when students complete this expressions worksheet?

Watch for students reversing phrases such as “15 more than x,” treating “three times the sum” as 3e + 2 instead of 3(e + 2), or confusing a multiplication relationship with addition in expressions such as 1.95p. In evaluation items, students may substitute incorrectly for a negative value, overlook an exponent, distribute multiplication inaccurately, or perform addition before multiplication instead of following the order of operations.

How do I assign and grade this worksheet?

Wayground provides this expressions worksheet as a printable PDF and as a digital quiz, and it includes a complete answer key for checking all 34 items. For printable submissions, you can scan student work with the Wayground for Teachers app to streamline grading while preserving a paper-based practice option.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size so the algebraic expressions, answer choices, and fill-in-the-blank prompts are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the mathematical directions and verbal-expression items.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to help students master essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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