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All Things Algebra - Printable Mathematics Worksheets - Wayground

All Things Algebra

17 questions

9th - 9th Grade

Mathematics

All Things Algebra is a Grade 9 mathematics worksheet with 17 multiple-choice questions focused on slope and linear equations. Students interpret rate of change in a real-world context, calculate slope from two points and rise/run, compare rates of change, and match graphs with linear equations. The worksheet also reinforces key representations of linear equations, including standard form, point-slope form, and slope-intercept form. Students identify intercepts, interpret the point and slope in point-slope equations, and write equations from a given point, slope, or pair of points. This free printable worksheet includes a complete answer key for efficient review, independent practice, or assessment.

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Worksheets

All Things Algebra

Total questions: 17

Name
Class
Date
1.
Which panda was heavier when they were born?
a)
Mochi
b)
Kappa
c)
Po the dragon warrior
d)
Jack Black
2.
What is the rate of change (slope) to rent a raft from Water's Edge Rafts?
a)
$6 per hour
b)
$5 per hour
c)
$1 for 6 hours
d)
$1 for 5 hours
3.
Determine the slope:
(4, 6) and (7, 10)
a)
4/3
b)
3/4
c)
Undefined
d)
-4/3
4.

Which linear function has the GREATEST rate of change?

a)
b)
c)
5.

Find the slope.

Hint: rise/run

a)

-5/3

b)

-3/5

c)

5/3

d)

5

6.

Which equation matches the graph?

a)

y = 2x

b)

y = 1/4 x + 2

c)

y = 1x + 4

d)

y = 2x - 3

7.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y = 2x + 1

c)

7x + 2y = 9

d)

2x + 3 = 6

8.
Name the x- and y-intercepts for the equation:
2x + y = 6
a)
(0, 3) and (6, 0)
b)
(0, -3) and (-6, 0)
c)
(3, 0) and (0, 6)
d)
(-3, 0) and (0, -6)
9.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
10.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
11.
Which of these represents standard form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
12.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
13.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 4 = -1/4(x - 7)
d)
y - 7 = -1/4(x - 4)
14.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
15.
Write an equation in slope-intercept form that has m = 5 through (-1, -3)
a)
y = 5x + 2
b)
y = -5x - 5
c)
y = -5x + 2
d)
y = 2x - 5
16.

Write the slope intercept form of the equation x - 3y = 6

a)

y = -x - 2

b)

y = x + 2

c)

y = 1/3x - 2

d)

y = -1/3x + 2

17.

Write the standard form of the equation for the line:

y = 1/4 x + 4

a)

x + 4y = 8

b)

x - 4y = -16

c)

y = x + 16

d)

4y + x = 8

Answer Key

All Things Algebra

Total questions: 17

1.
b) Kappa
2.
a) $6 per hour
3.
a) 4/3
4.
c)
5.
a)

-5/3

6.
b)

y = 1/4 x + 2

7.
c)

7x + 2y = 9

8.
c) (3, 0) and (0, 6)
9.
a) y - y1 = m(x - x1)
10.
c) y = mx + b
11.
b) Ax + By = C
12.
a) (-4, 3)
13.
a) y +7 = -1/4(x - 4)
14.
b) y + 3 = 1(x + 2)
15.
a) y = 5x + 2
16.
c)

y = 1/3x - 2

17.
b)

x - 4y = -16

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FAQs

What does the All Things Algebra worksheet cover?

This Grade 9 worksheet uses 17 multiple-choice questions to build fluency with slope, rate of change, and linear-equation representations. Students calculate slope from coordinates and rise/run, interpret a rate in context, match a graph to an equation, identify intercepts and equation forms, and write point-slope or slope-intercept equations from given information.

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

Introduce slope as rate of change, then model rise/run and the slope formula using the coordinate-pair items. Use the graph-matching and rate-comparison questions to connect numerical slope to visual and real-world meaning, and finish by having students explain how standard, point-slope, and slope-intercept forms organize the same linear relationship.

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

Watch for students reversing rise and run, mishandling negative signs, or confusing a slope with its reciprocal when using two points. Students may also match the wrong equation to a graph, confuse x- and y-intercepts, or substitute the coordinates incorrectly in point-slope form—for example, forgetting that a point such as (4, -7) produces y + 7 and x - 4.

How do I assign and grade the All Things Algebra worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. You can grade printable submissions by scanning student work with the Wayground for Teachers app, or use the digital quiz for online assignment and grading.

Which linear equation forms and representations do students practice here?

The worksheet asks students to distinguish standard form (Ax + By = C), point-slope form, and slope-intercept form (y = mx + b). It then applies those forms by finding intercepts, identifying the point represented in a point-slope equation, and writing equations from a slope and point or from two points.

Where can I find more worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across all subjects, with downloadable PDFs and answer keys to support essential skill and concept mastery. Browse more resources at https://wayground.com/en-us/worksheets.

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