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Algebra 1 Unit 2 Lesson 3 Practice - Printable Mathematics Worksheets class 10 - Wayground

Algebra 1 Unit 2 Lesson 3 Practice

15 questions

10th - 10th Grade

Mathematics

Algebra 1 Unit 2 Lesson 3 Practice is a Grade 10 mathematics worksheet focused on evaluating absolute values and solving absolute value equations. Students work through mostly multiple-choice items, along with one multiple-select question and one matching activity, covering equations with expressions such as |x − 3|, |2a − 10|, and equations that may have two solutions or no solution. This free printable worksheet helps students connect the meaning of absolute value with the algebraic steps required to isolate an absolute-value expression and test possible solutions. It provides practice with equations that include operations outside the absolute-value bars, negative coefficients, and solution sets, while the varied response formats check both procedural accuracy and recognition of equivalent equations. A complete answer key is included for teacher review and grading.

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Worksheets

Algebra 1 Unit 2 Lesson 3 Practice

Total questions: 15

Name
Class
Date
1.
What is the absolute value of |-26|.
a)
26
b)
-26
c)
0
d)
-20
2.
What is the absolute value of |572|.
a)
275
b)
-572
c)
57
d)
572
3.
Which has the same absolute value as -55?
a)
0
b)
-1
c)
1
d)
55
4.

|x-3|=40

a)

x = 43, x = -37

b)

x = 43, x = -43

c)

x = -43, x = 37

d)

x = 43

5.

|x+7|=12

a)

x = -5, x = 19

b)

x = 5, x = -19

c)

x = 5, x = -5

d)

x = 12, x = -7

6.
|v + 8| − 5 = 2 
a)

v = -1 and v= -15

b)

v = -1 and v = -5

c)

v = -15 and v = 15

d)
No Solution
7.
|-2 - 4n| = 34
a)
n = -9, n = 8
b)
n = 9, n = 8
c)
n = -9
d)
n = 8
8.
|2a - 10| = 6
a)
a = 8, a = 5
b)
a = 2
c)
a = 8
d)
a = 8, a = 2
9.
3| −8x| + 8 = 80
a)
{-7/3, 7/3}
b)
{-3,3}
c)
{11/3,-11/3}
d)
No Solution
10.
8|-2x + 4| = 96
a)
x = -4, x = 8
b)
x = -4
c)
x = -4, x = -8
d)
x = 4, x = 8
11.
-|−2r − 1| = 11
a)
{-6,5}
b)
{5,-6}
c)
-6
d)
No Solution
12.

Solve for x:

|2x-3| = 5

Choose two answers!!

a)

4

b)

-1

c)

1

d)

-4

e)

2

13.

Match the following

|x| = 5

x = 5, -5

|2x| = -2

No Solution

2|x| = 2

x = 1, -1

∣x−4∣=5\left|x-4\right|=5

x = -1 , 9

2∣x5∣−1 = 72\left|\frac{x}{5}\right|-1\ =\ 7  

x = -20, 20

14.

∣2x−3∣+5=12\left|2x-3\right|+5=12  

a)

x=−2 x=-2\  

b)

x=5x=5  

c)

x=−2x=-2  or  x=5x=5  

d)

[−2,5]\left[-2,5\right]  

15.

Which equation has solutions of x = -3 and x = 7?

a)

∣x−2∣=5\left|x-2\right|=5

b)

∣x−5∣=2\left|x-5\right|=2

c)

∣x+2∣=5\left|x+2\right|=5

d)

∣x+5∣=2\left|x+5\right|=2

Answer Key

Algebra 1 Unit 2 Lesson 3 Practice

Total questions: 15

1.
a) 26
2.
d) 572
3.
d) 55
4.
a)

x = 43, x = -37

5.
b)

x = 5, x = -19

6.
a)

v = -1 and v= -15

7.
a) n = -9, n = 8
8.
d) a = 8, a = 2
9.
b) {-3,3}
10.
a) x = -4, x = 8
11.
d) No Solution
12.
a)

4

, b)

-1

13.

|x| = 5

 - 

x = 5, -5

, 

|2x| = -2

 - 

No Solution

, 

2|x| = 2

 - 

x = 1, -1

, 

∣x−4∣=5\left|x-4\right|=5

 - 

x = -1 , 9

, 

2∣x5∣−1 = 72\left|\frac{x}{5}\right|-1\ =\ 7  

 - 

x = -20, 20

14.
c)

x=−2x=-2  or  x=5x=5  

15.
a)

∣x−2∣=5\left|x-2\right|=5

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FAQs

What does this Algebra 1 worksheet cover?

This Grade 10 worksheet covers evaluating absolute values and solving absolute value equations, including equations with expressions such as |x − 3|, |2a − 10|, and −|−2r − 1|. Its 15-question set uses 13 multiple-choice items, one multiple-select item, and one matching activity to check students’ ability to identify absolute values, find one or two solutions, and recognize when an equation has no solution.

How can I use this worksheet to teach solving absolute value equations?

Introduce the worksheet by reviewing that an absolute-value equation can represent two cases when the isolated absolute value is positive: the expression inside the bars equals the positive and negative values. Model a multi-step example such as |v + 8| − 5 = 2 by isolating the absolute value first, then have students explain why the negative equation −|−2r − 1| = 11 has no solution. Use the multiple-select and matching items afterward to discuss why solution sets and equivalent absolute-value equations must be checked.

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

Watch for students treating the absolute value of a negative number as negative, writing only one solution when the isolated expression is positive, or applying the ± cases before isolating the absolute-value expression. In equations such as 3|−8x| + 8 = 80 and 8|−2x + 4| = 96, students may also lose track of the outside coefficient and constant. The multiple-select item requires both correct answers, and the negative equation item tests whether students recognize a no-solution case rather than forcing an answer.

How do I assign and grade this absolute value worksheet?

This worksheet is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key for checking the multiple-choice, multiple-select, and matching responses. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable option can also support schools that are reducing screen time.

How can I differentiate this absolute value equations worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing and font size so the algebraic expressions, answer choices, and matching items are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet’s written directions into another language while keeping the absolute-value equations and symbols visible for students to solve.

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

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