Simple Equations Involving Fractions

Complete the test and get an award.

Solve simple equations with fractions and mixed numbers: find an unknown addend, minuend, subtrahend, factor, dividend or divisor, then two-step equations and word problems. 15 multiple-choice questions, 19 points.
Question 1 (1 point)
[tex]c + \frac{2}{3} = \frac{3}{4}[/tex]
Find the value of [tex]c[/tex].

Question 2 (1 point)
[tex]t - 1\frac{3}{4} = 2\frac{1}{2}[/tex]
Find the value of [tex]t[/tex].

Question 3 (1 point)
[tex]2\frac{3}{8} - g = 1\frac{1}{2}[/tex]
Find the value of [tex]g[/tex].

Question 4 (1 point)
[tex]\frac{3}{4} \times x = \frac{9}{10}[/tex]
Find the value of [tex]x[/tex].

Question 5 (1 point)
[tex]x \div \frac{4}{7} = 1\frac{1}{2}[/tex]
Find the value of [tex]x[/tex].

Question 6 (1 point)
[tex]\frac{1}{3} \div m = \frac{1}{2}[/tex]
Find the value of [tex]m[/tex].

Question 7 (1 point)
[tex]3\frac{3}{4} \div b = 1\frac{1}{4}[/tex]
Find the value of [tex]b[/tex].

Question 8 (1 point)
Which equation has the solution [tex]x = \frac{2}{5}[/tex]?

Question 9 (1 point)
Which expression gives the value of [tex]x[/tex] in the equation [tex]\frac{5}{6} \div x = \frac{2}{3}[/tex]?

Question 10 (1 point)
I think of a number. When I divide it by [tex]\frac{5}{6}[/tex], I get [tex]\frac{3}{10}[/tex]. What is my number?

Question 11 (2 points)
[tex]\frac{5}{6} - y = \frac{1}{6} \div \frac{1}{3}[/tex]
Find the value of [tex]y[/tex].

Question 12 (2 points)
[tex]\frac{2}{3} \times x + \frac{1}{4} = \frac{3}{4}[/tex]
Find the value of [tex]x[/tex].

Question 13 (1 point)
Which equation has the greatest solution?

Question 14 (2 points)
[tex]\left(\frac{1}{2} + \frac{2}{3}\right) \times \frac{6}{7} + x = 1\frac{1}{2}[/tex]
Find the value of [tex]x[/tex].

Question 15 (2 points)
A bag held some flour. Emma used [tex]\frac{1}{4}[/tex] lb for cookies and [tex]\frac{2}{3}[/tex] lb for bread, and [tex]\frac{5}{6}[/tex] lb was left. How many pounds of flour were in the bag at first?


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