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Algebra 1 Unit 6 Test Bonus Questions - Printable Mathematics Worksheets - Wayground

Algebra 1 Unit 6 Test Bonus Questions

10 questions

9th - 12th Grade

Mathematics

Algebra 1 Unit 6 Test Bonus Questions is a free printable mathematics worksheet for students in Grades 9–12. It provides 10 mixed-format review items—nine multiple-choice questions and one fill-in-the-blank question—covering core algebra skills such as writing systems of equations from real-world costs, solving for a variable, translating verbal statements into expressions, evaluating expressions, and interpreting equations and inequalities. Students also analyze a number-line graph, identify values that satisfy an algebraic condition, and compare two pricing models by representing when their costs are equal. The varied question formats give teachers a compact way to check whether students can apply algebraic reasoning in symbolic, verbal, graphical, and real-world contexts. Use the worksheet for Unit 6 review, bonus practice, or an informal check of readiness. A complete answer key is included for efficient feedback and grading.

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Worksheets

Algebra 1 Unit 6 Test Bonus Questions

Total questions: 10

Name
Class
Date
1.
The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.
a)

5q+2z=1.325q+2z=1.32
1z=0.751z=0.75

b)

5q+2z=1.325q+2z=1.32
3q+1z=0.753q+1z=0.75

c)

q+z=1.32q+z=1.32
q+z=0.75q+z=0.75

d)

5q+2z=0.755q+2z=0.75
3q+1z=1.323q+1z=1.32

2.

Given V=lwh, solve for l.Given\ V=lwh,\ solve\ for\ l.  

a)

l=Vwhl=\frac{Vw}{h}  

b)

l=Vwhl=\frac{V}{wh}  

c)

l=Vhwl=\frac{Vh}{w}  

d)

l=whVl=\frac{wh}{V}  

3.

Solve for x:

a)

x=yb−vx=yb-v

b)

x=by−vx=by-v

c)

x=by+vx=by+v

d)

x=vy+bx=vy+b

4.

Which expression below represents the following statement:

Four less than the sum of 7 and 3

a)

4 − (7 + 3)4\ -\ \left(7\ +\ 3\right)

b)

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

c)

(7 x 3) x 4 \left(7\ x\ 3\right)\ x\ 4\

d)

(7 + 3) ÷ 4\left(7\ +\ 3\right)\ \div\ 4

5.

Evaluate the following expression if x=−3 and y=2x=-3\ and\ y=2  

10−xy+6x−x210-xy+\frac{6}{x}-x^2  

a)

4

b)

5

c)

6

d)

9

e)

33

6.

Evaluate the following expression if h=10, m=−1 and n=4h=10,\ m=-1\ and\ n=4  

n2−3(h−n+m)+3hn^2-3\left(h-n+m\right)+3h  

(a)  

7.

Evaluate 3a2−ab3a^2-ab when a=−1  &   b=3a=-1\ \ \&\ \ \ b=3

a)

1212

b)

−5-5

c)

66

d)

00

8.
Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 
a)

y=9.65+xy=9.65+x
y=8.40+xy=8.40+x

b)

y=9.65x+43y=9.65x+43
y=8.40x+58y=8.40x+58

c)

y=9.65xy=9.65x
y=8.40xy=8.40x

d)

y=9.65x−43y=9.65x-43
y=8.40x−58y=8.40x-58

9.
What inequality does the number line graph represent?
a)

x≥3x\ge3

b)

x>3x>3

c)

x<−3x<-3

d)

x≤3x\le3

10.

What are two numbers that could be xx if x<8x<8

a)

8.6 and 7.98.6\ and\ 7.9

b)

11 and 1611\ and\ 16

c)

0.8 and 5.90.8\ and\ 5.9

d)

12 and 7.112\ and\ 7.1

Answer Key

Algebra 1 Unit 6 Test Bonus Questions

Total questions: 10

1.
b)

5q+2z=1.325q+2z=1.32
3q+1z=0.753q+1z=0.75

2.
b)

l=Vwhl=\frac{V}{wh}  

3.
c)

x=by+vx=by+v

4.
b)

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

5.
b)

5

6.
31
7.
c)

66

8.
b)

y=9.65x+43y=9.65x+43
y=8.40x+58y=8.40x+58

9.
a)

x≥3x\ge3

10.
c)

0.8 and 5.90.8\ and\ 5.9

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FAQs

What does the Algebra 1 Unit 6 Test Bonus Questions worksheet cover?

This worksheet reviews how to write a system of equations from a squash-and-zucchini cost situation, solve for a variable, translate verbal phrases into algebraic expressions, and evaluate expressions. Its nine multiple-choice items and one fill-in-the-blank item also ask students to model equal costs, interpret an inequality on a number line, and identify possible values.

How can I use this worksheet to teach Unit 6 algebra skills?

Use the worksheet after modeling each representation: have students translate the verbal expression first, substitute values when evaluating, and define variables before writing the cost systems. For the pricing and number-line items, ask students to explain what the variable represents and how the equation or graph describes the situation before selecting an answer.

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

Students may reverse phrases such as “four less than the sum,” omit a coefficient when translating a cost situation, or confuse a setup fee with a per-shirt charge. Also check that they substitute into expressions correctly, distinguish an equation from an inequality, and read both the endpoint and the direction of the number-line graph.

How do I assign and grade this Algebra 1 worksheet?

On Wayground, assign it as a printable PDF or as a digital quiz; the worksheet includes a complete answer key for checking all 10 items. Printable submissions can also be graded by scanning student work with the Wayground for Teachers app.

How can I differentiate this worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing and font size to make the cost scenarios, algebraic expressions, and answer choices easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language when that supports access to the mixed algebra questions.

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 support mastery of essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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