Equation Challenge Worksheet
One-Step Equation Challenge
Part 1: Equations 1 - 12
Name
Date
DIRECTIONS: Solve each equation. Show your inverse operation steps and circle your final solution.
1 Decimal Addition
\(x + 23.4 = 40.7\)
2 Integer Subtraction
\(18 = x - 9\)
3 Integer Addition
\(34 = 16 + x\)
4 Integer Subtraction
\(x - 15 = 18\)
5 Decimal Addition
\(y + 12.5 = 30\)
6 Decimal Subtraction
\(m - 4.2 = 1.8\)
7 Fraction Addition
\(k + \frac{1}{2} = 3\frac{3}{4}\)
8 Whole Number
\(p - 14 = 52\)
9 Money Values
\(w + 8.75 = 12.50\)
10 Fraction Subtraction
\(r - \frac{3}{4} = 2\frac{1}{4}\)
11 Mixed Decimals
\(25.2 = x + 11.1\)
12 Word Problem
Calvin purchases a burger and a drink. The total order is $8.50, of which $1.08 is tax. Find the cost of the meal before tax.
Equation:
Solution:
One-Step Equation Challenge
Part 2: Equations 13 - 24
Name
13 Whole Number
\(a + 15 = 42\)
14 Decimal Subtraction
\(b - 2.5 = 10\)
15 Fraction Addition
\(\frac{1}{4} + x = \frac{3}{4}\)
16 Mixed Decimal
\(50 = y + 12.2\)
17 Fraction Subtraction
\(z - \frac{1}{3} = 1\frac{1}{3}\)
18 Mixed Decimal
\(14.5 = m - 5.5\)
19 Mixed Fraction
\(12 + k = 15\frac{1}{2}\)
20 Decimal Subtraction
\(p - 0.5 = 0.5\)
21 Fraction Addition
\(\frac{3}{8} + x = \frac{7}{8}\)
22 Whole Number
\(w + 45 = 102\)
23 Decimal Subtraction
\(x - 1.9 = 8.1\)
24 Word Problem
Maya needs 3 1/2 cups of flour for a recipe. She only has 1 1/4 cups left. How many more cups (c) does she need to buy?
Equation:
Solution:
Equation Challenge Key
Answer Key
One-Step Equation Challenge • Questions 1-12
TEACHER REFERENCE
1
x + 23.4 = 40.740.7 - 23.4
x = 17.3
2
18 = x - 918 + 9
x = 27
3
34 = 16 + x34 - 16
x = 18
4
x - 15 = 1818 + 15
x = 33
5
y + 12.5 = 3030 - 12.5
y = 17.5
6
m - 4.2 = 1.81.8 + 4.2
m = 6
7
k + 1/2 = 3 3/43 3/4 - 1/2
k = 3 1/4
8
p - 14 = 5252 + 14
p = 66
9
w + 8.75 = 12.5012.50 - 8.75
w = 3.75
10
r - 3/4 = 2 1/42 1/4 + 3/4
r = 3
11
25.2 = x + 11.125.2 - 11.1
x = 14.1
12 WP 1 Solution
Eq:x + 1.08 = 8.50
Sol:$7.42
Answer Key
One-Step Equation Challenge • Questions 13-24
TEACHER REFERENCE
13
a + 15 = 4242 - 15
a = 27
14
b - 2.5 = 1010 + 2.5
b = 12.5
15
1/4 + x = 3/43/4 - 1/4
x = 1/2
16
50 = y + 12.250 - 12.2
y = 37.8
17
z - 1/3 = 1 1/31 1/3 + 1/3
z = 1 2/3
18
14.5 = m - 5.514.5 + 5.5
m = 20
19
12 + k = 15 1/215 1/2 - 12
k = 3 1/2
20
p - 0.5 = 0.50.5 + 0.5
p = 1
21
3/8 + x = 7/87/8 - 3/8
x = 1/2
22
w + 45 = 102102 - 45
w = 57
23
x - 1.9 = 8.18.1 + 1.9
x = 10
24 WP 2 Solution
Eq:1 1/4 + c = 3 1/2
Sol:2 1/4 cups
Equation Challenge • Teacher Answer Key • 6th Grade Math
