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Hon. Alg. 1 - Unit 3 Review - Printable Mathematics Worksheets - Wayground

Hon. Alg. 1 - Unit 3 Review

13 questions

9th - 9th Grade

Mathematics

Hon. Alg. 1 - Unit 3 Review is a Grade 9 mathematics worksheet with 13 multiple-choice questions covering linear relationships and arithmetic sequences. Students calculate slope from two points, distinguish zero from undefined slope, identify the graph of a linear equation, and determine equations from tables. They also find average rate of change, write equations in slope-intercept and standard form, identify x- and y-intercepts, and match equations to tables. Sequence items ask students to find later terms and write an explicit formula using the first term and common difference. This review worksheet helps teachers check whether students can move among numerical, graphical, and algebraic representations of linear relationships while applying arithmetic-sequence rules. Use it for independent practice, unit review, or a quick multiple-choice assessment before reteaching. The worksheet is available as a free printable worksheet and includes a complete answer key for efficient checking and feedback.

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Hon. Alg. 1 - Unit 3 Review

Total questions: 13

Name
Class
Date
1.

Use the slope formula to find the slope between the points (2, 4) and (-1, 4)

a)

zero

b)

undefined

c)

-1

d)

2

2.
Find the 22nd term of the following sequence:
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
3.

Which is the graph of y = -x + 2?

a)
A
b)
B
c)
C
d)
D
4.

What is the equation for the given relationship in the table?

a)

y = 8xy\ =\ 8x  

b)

y = 18x\frac{1}{8}x  

c)

y = 8x + 3y\ =\ 8x\ +\ 3  

d)

y = 18x + 3y\ =\ \frac{1}{8}x\ +\ 3  

5.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? 
a)
200
b)
150
c)
300
d)
75
6.

What is the algebraic equation for this table in slope-intercept form? (Remember f(x) just means y.)

a)

f(x) = x + 3

b)

f(x) = 3x

c)

f(x) = x ÷ 3

d)

f(x) = x - 3

7.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
8.

Find the 75th term of the arithmetic sequence -17, -13, -9, ...

a)

300

b)

279

c)

283

d)

275

9.

With the common difference and the first term of the sequence (6, 9, 12, 15, ...), we can write an EXPLICIT FORMULA for the arithmetic sequence. be sure to simplify your formula(equation).

Formula: an=a1+d(n−1)a_n=a_1+d\left(n-1\right)  

Hint: a1=a_1=  first term & d=d=  common difference

a)

an=9n−6a_n=9n-6  

b)

an=3n+6a_n=3n+6  

c)

an=6n−3a_n=6n-3  

d)

an=3n+3a_n=3n+3  

10.

Write in standard form:

y - 4 = 1 (x - 1)

a)

5x + y = -1

b)

x - y = -3

c)

5x - y = -3

d)

x - 5y = 1

11.
What is the x and y intercept for the following equation ?
4x - 10y = 20
a)
x - int = 4    
y-int = -10
b)
x-int = 5
y-int = 2
c)
x - int = 5
y int = -2
d)
x -int = 4
y -int = -10
12.

Which slope-intercept form equation matches the table?

a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
13.

Find the slope (6, 1) and (6, 2)

a)

Undefined

b)

0

c)

-5/2

d)

5/2

Answer Key

Hon. Alg. 1 - Unit 3 Review

Total questions: 13

1.
a)

zero

2.
b) 68
3.
a) A
4.
a)

y = 8xy\ =\ 8x  

5.
d) 75
6.
d)

f(x) = x - 3

7.
c) 2
8.
b)

279

9.
d)

an=3n+3a_n=3n+3  

10.
b)

x - y = -3

11.
c) x - int = 5
y int = -2
12.
a) y = x + 5
13.
a)

Undefined

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FAQs

What does the Hon. Alg. 1 - Unit 3 Review worksheet cover?

This Grade 9 mathematics worksheet uses 13 multiple-choice questions to review slope, linear equations, tables and graphs, rate of change, standard form, intercepts, and arithmetic sequences. Students apply formulas and interpret representations by finding slopes and sequence terms, matching equations to graphs or tables, converting equation forms, and writing an explicit sequence formula.

How can I use this worksheet to teach slope, linear equations, and arithmetic sequences?

Introduce the review by modeling slope from two points, including how a horizontal line has zero slope and a vertical line has undefined slope. Then have students connect tables, graphs, and equations before discussing rate of change, intercepts, and equation forms; finish by modeling how the first term and common difference produce an arithmetic-sequence formula. Use the multiple-choice options to ask students why each distractor is incorrect.

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

Watch for students reversing the coordinate differences when calculating slope, confusing zero slope with undefined slope, or using the wrong time interval for the climber’s average rate of change. Students may also confuse the x- and y-intercepts, lose signs when converting to standard form, match a table to the wrong slope-intercept equation, or use the wrong starting index when finding a distant arithmetic-sequence term.

How do I assign and grade this worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 13 multiple-choice questions. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or review responses through the digital quiz.

How can I differentiate this linear relationships and sequences worksheet for my students?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the equation, table, graph, and sequence items easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the multiple-choice review format.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive 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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