Mixed Signs Quest Worksheet
Mixed Signs Quest
Adding & Subtracting Signed Mixed Numbers
Page 1 of 2 • Foundations
Name:
Date:
Score:
/ 20
Rules of the Trail: Add opposite for subtraction: \(a - b = a + (-b)\). Write answers in simplest form. Problems 1–10
A
Part 1: Like Denominators (Warm-Up)
Watch your sign rules carefully
1
\( 2\frac{1}{5} + \left(-3\frac{3}{5}\right) \)
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2
\( -4\frac{5}{8} - 1\frac{1}{8} \)
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3
\( -3\frac{2}{7} - \left(-5\frac{5}{7}\right) \)
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4
\( 6\frac{2}{9} + \left(-2\frac{7}{9}\right) \)
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B
Part 2: Unlike Denominators
Find the LCD before adding or subtracting
5
\( -2\frac{1}{2} + 4\frac{3}{4} \)
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6
\( 5\frac{1}{3} - 7\frac{5}{6} \)
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7
\( -3\frac{3}{4} - \left(-1\frac{5}{8}\right) \)
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8
\( -1\frac{4}{5} + \left(-2\frac{3}{10}\right) \)
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9
\( 4\frac{1}{6} - \left(-2\frac{2}{3}\right) \)
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10
\( -5\frac{1}{4} - 3\frac{2}{3} \)
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Mixed Signs Quest • Signed Mixed Numbers Practice Turn page for Regrouping & Real-World Challenges →
Mixed Signs Quest • Advanced Summit
Name:
Page 2 of 2
C
Part 3: Regrouping & Unfriendly Denominators
Borrow from the whole number or convert to improper fractions
11
\( -4\frac{1}{3} + 1\frac{3}{4} \)
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12
\( 3\frac{1}{5} - 6\frac{2}{3} \)
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13
\( -2\frac{5}{6} - \left(-7\frac{1}{4}\right) \)
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14
\( -6\frac{3}{8} - 2\frac{5}{6} \)
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15
\( 8\frac{1}{2} - \left(-3\frac{7}{10}\right) \)
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16
\( -5\frac{2}{9} + \left(-4\frac{5}{6}\right) \)
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D
Part 4: Multi-Step & Real-World Applications
Show complete steps & write units
17 Three Terms
Evaluate: \( -2\frac{1}{2} + 3\frac{1}{3} - 4\frac{1}{6} \)
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18 Missing Value
Find \( x \): \( x - \left(-3\frac{3}{4}\right) = 1\frac{1}{8} \)
Ans: \( x = \)
19 Elevation
A research sub at sea level dives to \( -14\frac{3}{5}\text{ m} \), ascends \( 6\frac{1}{2}\text{ m} \), then dives \( 8\frac{7}{10}\text{ m} \). What is its final depth?
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20 Temperature
At dawn it was \( -4\frac{1}{4}^\circ\text{F} \). By noon it rose \( 9\frac{5}{6}^\circ\text{F} \), and by midnight it fell \( 12\frac{1}{2}^\circ\text{F} \). What was the midnight temperature?
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Mixed Signs Quest • Signed Mixed Numbers Practice Double-check: Did you simplify all fractional parts?
Integer Signs Sprint Worksheet
Integer Signs Sprint
Adding & Subtracting Signed Integers
Page 1 of 2 • Questions 1–20
Name:
Date:
Score:
/ 40
Quick Rules: Same signs: Add & keep sign. Different signs: Subtract absolute values & keep larger sign. \(a - b = a + (-b)\). Sprint Pace
A
Part 1: Basic Operations & Signs (1–10)
Rewrite subtraction as adding the opposite
1 \( 7 + 9 \)
=
2 \( -6 + (-8) \)
=
3 \( -12 + (-15) \)
=
4 \( 9 - 14 \)
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5 \( -8 - 5 \)
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6 \( -11 - 9 \)
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7 \( 4 - (-7) \)
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8 \( -10 - (-6) \)
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9 \( -13 - (-13) \)
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10 \( 0 - (-18) \)
=
B
Part 2: Two-Digit Mixed Operations (11–20)
Determine sign first, then compute value
11 \( -15 + 8 \)
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12 \( 19 + (-24) \)
=
13 \( -32 + 45 \)
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14 \( 27 + (-27) \)
=
15 \( -16 - 21 \)
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16 \( 35 - (-12) \)
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17 \( -24 - (-19) \)
=
18 \( -50 + 17 \)
=
19 \( 42 - 58 \)
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20 \( -31 - (-46) \)
=
Integer Signs Sprint • Operations with Signed Integers Turn page for Multi-Digit & Challenge Expressions (21–40) →
Integer Signs Sprint • Extension & Challenge
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Page 2 of 2 • Questions 21–40
C
Part 3: Multi-Digit Integers (21–32)
Work carefully with larger values
21 \( -64 + (-78) \)
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22 \( 85 - (-47) \)
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23 \( -120 + 75 \)
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24 \( -94 - 38 \)
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25 \( 150 - 225 \)
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26 \( -88 - (-104) \)
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27 \( -215 + (-140) \)
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28 \( 310 - (-95) \)
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29 \( -450 + 620 \)
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30 \( -175 - (-175) \)
