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Mathorio

Worksheet

Equations with Fractions

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Show your work for each problem.

1.
What is the first step to solve $\frac{x}{5} = 4$ ?
1. a)Multiply both sides by 5
2. b)Add 5 to both sides
3. c)Subtract 5 from both sides
4. d)Divide both sides by 5
2.
Solve: $\frac{x}{3} = 7$
3.
Solve: $\frac{x}{6} = 5$
4.
Solve: $\frac{x}{4} = 9$
5.
What is the LCD of $\frac{x}{2}$ and $\frac{x}{3}$ ?
1. a)3
2. b)2
3. c)6
4. d)5
6.
Solve: $\frac{2}{3}x = 8$
7.
Solve: $\frac{3}{4}x = 15$
8.
After multiplying $\frac{x}{2} + \frac{x}{3} = 10$ by LCD 6, what equation do you get?
1. a) $3x + 2x = 10$
2. b) $x + x = 60$
3. c) $6x + 6x = 60$
4. d) $3x + 2x = 60$
9.
Solve: $\frac{x}{2} + \frac{x}{4} = 6$
10.
Solve: $\frac{x}{3} + \frac{x}{6} = 9$
11.
Which equation is equivalent to $\frac{x-1}{3} = 4$ ?
1. a) $x - 1 = 12$
2. b) $x - 1 = 4$
3. c) $3x - 1 = 4$
4. d) $x = 7$
12.
Solve: $\frac{x+2}{4} = \frac{x-1}{3}$
13.
Solve: $\frac{2x}{3} + \frac{x}{4} = 11$
14.
Solve: $\frac{x}{2} - \frac{x}{5} = 6$
15.
A recipe uses $\frac{2}{3}$ cup of sugar for 12 cookies. How much sugar for 18 cookies?
1. a) $\frac{3}{4}$ cup
2. b) $\frac{1}{2}$ cup
3. c)2 cups
4. d)1 cup
16.
Solve: $\frac{5x-1}{6} = \frac{2x+3}{4}$
17.
Solve: $\frac{3}{4}x - 2 = \frac{1}{2}x + 1$

Today's challengeOne problem, three tries