Solve the equation. Pick the answer in the simpliest form. 3 10 ( x + 12 ) \frac{3}{10}\left(x\ +\ 12\right) 1 0 3 ( x + 1 2 )

3 10 x + 3 5 \frac{3}{10}x\ +\ \frac{3}{5} 1 0 3 x + 5 3

3 10 x + 15 12 \frac{3}{10}x\ +\ \frac{15}{12} 1 0 3 x + 1 2 1 5

3 10 x + 36 10 \frac{3}{10}x\ +\ \frac{36}{10} 1 0 3 x + 1 0 3 6

3 10 x + 18 5 \frac{3}{10}x\ +\ \frac{18}{5} 1 0 3 x + 5 1 8

Solve the equation. Pick the answer in the simplest form. 3 2 ( 3 x + 5 ) \frac{3}{2}\ \left(3x+5\right) 2 3 ( 3 x + 5 )

4 1 2 X + 7 1 2 4\ \frac{1}{2}X\ +\ 7\ \frac{1}{2} 4 2 1 X + 7 2 1

9 6 x + 15 10 \frac{9}{6}x\ +\ \frac{15}{10} 6 9 x + 1 0 1 5

9 2 x + 15 2 \frac{9}{2}x\ +\ \frac{15}{2} 2 9 x + 2 1 5

6 2 x + 15 \frac{6}{2}x\ +\ 15 2 6 x + 1 5

Solve the equation. Pick the answer in the simplest form. 2 3 ( y − 7 ) \frac{2}{3}\left(y\ -7\right) 3 2 ( y − 7 )

2 3 y − 4 1 3 \frac{2}{3}y\ -\ 4\ \frac{1}{3} 3 2 y − 4 3 1

2 3 y − 14 3 \frac{2}{3}y\ -\frac{14}{3} 3 2 y − 3 1 4

2 3 y + 4 1 3 \frac{2}{3}y\ +4\ \frac{1}{3} 3 2 y + 4 3 1

2 3 y + 14 3 \frac{2}{3}y\ +\frac{14}{3} 3 2 y + 3 1 4

Solve the equation. Pick the answer in the simplest form. 3 4 ( x + 5 1 2 ) \frac{3}{4\ }\ \left(x+5\ \frac{1}{2}\right) 4 3 ( x + 5 2 1 )

3 4 x + 4 1 8 \frac{3}{4}x\ +\ 4\ \frac{1}{8} 4 3 x + 4 8 1

3 4 x + 5 4 6 \frac{3}{4}x\ +\ 5\ \frac{4}{6} 4 3 x + 5 6 4

3 4 x + 14 8 \frac{3}{4}x\ +\ \frac{14}{8} 4 3 x + 8 1 4

3 4 x + 33 8 \frac{3}{4}x\ +\ \frac{33}{8} 4 3 x + 8 3 3

Solve the equation. Pick the answer in the simplest form. 5 9 ( y + 3 ) \frac{5}{9}\ \left(y\ +\ 3\right) 9 5 ( y + 3 )

5 9 y + 1 1 3 \frac{5}{9}y\ +\ 1\ \frac{1}{3} 9 5 y + 1 3 1

5 9 y + 15 9 \frac{5}{9}y\ +\ \frac{15}{9} 9 5 y + 9 1 5

5 9 y + 1 6 9 \frac{5}{9}y\ +1\ \frac{6}{9} 9 5 y + 1 9 6

5 9 + 1 1 3 \frac{5}{9}+\ 1\ \frac{1}{3} 9 5 + 1 3 1

Solve the equation. Pick the answer in the simplest form. − 1 2 ( b + 2 ) -\ \frac{1}{2}\left(b\ +2\right) − 2 1 ( b + 2 )

− 1 2 b − 1 -\ \frac{1}{2}b\ -1 − 2 1 b − 1

− 1 2 b + 1 -\ \frac{1}{2}b\ \ +1 − 2 1 b + 1

− 1 2 b + 2 1 2 -\ \frac{1}{2}b\ +\ 2\ \frac{1}{2} − 2 1 b + 2 2 1

− 1 2 b − 2 1 2 -\ \frac{1}{2}b\ -\ 2\ \frac{1}{2} − 2 1 b − 2 2 1

Solve the equation. Pick the answer in the simplest form. 1 9 ( b − 1 2 ) \frac{1}{9\ }\left(b-\frac{1}{2}\right) 9 1 ( b − 2 1 )

1 9 b − 1 18 \frac{1}{9}b\ -\frac{1}{18} 9 1 b − 1 8 1

1 9 b + 1 18 \frac{1}{9}b\ +\ \frac{1}{18} 9 1 b + 1 8 1

1 9 b + 2 11 \frac{1}{9}b\ +\ \frac{2}{11} 9 1 b + 1 1 2

1 9 b − 1 11 \frac{1}{9}b\ -\ \frac{1}{11} 9 1 b − 1 1 1

Solve the equation. Pick the answer in the simplest form. 2 3 ( 9 x − 6 ) \frac{2}{3}\ \left(9x\ -\ 6\right) 3 2 ( 9 x − 6 )

18 3 x − 12 4 \frac{18}{3}x\ -\frac{12}{4} 3 1 8 x − 4 1 2

− 11 27 x − 12 18 -\ \frac{11}{27}x\ -\ \frac{12}{18} − 2 7 1 1 x − 1 8 1 2

Solve the equation. Pick the answer in the simplest form. 2 ( 9 5 x + 10 ) 2\ \left(\frac{9}{5}x\ +10\right) 2 ( 5 9 x + 1 0 )

5 3 5 x + 20 5\ \frac{3}{5}x\ +20 5 5 3 x + 2 0

18 5 x + 20 \frac{18}{5}x\ +\ 20 5 1 8 x + 2 0

6 3 x + 12 \frac{6}{3}x\ +\ 12 3 6 x + 1 2

Solve the equation. Pick the answer in the simplest form. − 7 4 ( 4 b + 1 2 ) -\ \frac{7}{4\ }\left(4b\ +\ \frac{1}{2}\right) − 4 7 ( 4 b + 2 1 )

− 7 b − 7 8 -7b\ -\ \frac{7}{8} − 7 b − 8 7

28 16 b − 1 1 8 \frac{28}{16}b\ -\ 1\ \frac{1}{8} 1 6 2 8 b − 1 8 1

7 b − 1 1 8 7b\ -\ 1\ \frac{1}{8} 7 b − 1 8 1

− 2 b − 8 6 -2b\ -\ \frac{8}{6} − 2 b − 6 8

Solve the equation. Pick the answer in the simplest form. 7 3 ( 2 n + 5 ) \frac{7}{3\ }\left(2n\ +5\right) 3 7 ( 2 n + 5 )

4 2 3 n + 3 1 2 4\ \frac{2}{3}n\ +3\ \frac{1}{2} 4 3 2 n + 3 2 1

9 3 n + 12 3 \frac{9}{3}n\ +\frac{12}{3} 3 9 n + 3 1 2

9 3 n + 4 \frac{9}{3}n+4 3 9 n + 4

4 4 3 n + 3 1 3 4\ \frac{4}{3}n\ +\ 3\ \frac{1}{3} 4 3 4 n + 3 3 1

Solve the equation. Pick the answer in the simplest form. 5 7 ( 4 t − 3 4 ) \frac{5}{7\ }\left(4t-\frac{3}{4}\right) 7 5 ( 4 t − 4 3 )

2 6 7 n − 15 28 2\ \frac{6}{7}n\ -\ \frac{15}{28} 2 7 6 n − 2 8 1 5

20 7 t − 15 28 \frac{20}{7}t\ -\ \frac{15}{28} 7 2 0 t − 2 8 1 5

9 7 t − 8 11 \frac{9}{7}t\ -\ \frac{8}{11} 7 9 t − 1 1 8

20 28 t + 15 28 \frac{20}{28}t\ +\frac{15}{28} 2 8 2 0 t + 2 8 1 5

Solve the equation. Pick the answer in the simplest form. 2 2 5 ( 1 3 x + 8 ) 2\ \frac{2}{5\ }\left(\frac{1}{3\ }x\ +8\right) 2 5 2 ( 3 1 x + 8 )

4 5 x + 19 1 5 \frac{4}{5}x\ +19\ \frac{1}{5} 5 4 x + 1 9 5 1

2 3 8 x + 16 2 5 2\ \frac{3}{8}x\ +16\ \frac{2}{5} 2 8 3 x + 1 6 5 2

12 15 x + 96 5 \frac{12}{15}x\ +\frac{96}{5} 1 5 1 2 x + 5 9 6

4 5 x + 10 2 5 \frac{4}{5}x\ +\ 10\ \frac{2}{5} 5 4 x + 1 0 5 2

Solve the equation. Pick the answer in the simplest form. 6 ( 1 2 x − 3 ) 6\left(\frac{1}{2}x\ -3\right) 6 ( 2 1 x − 3 )

6 1 2 x − 9 6\ \frac{1}{2\ }x-9 6 2 1 x − 9

6 1 2 x − 18 6\ \frac{1}{2}x\ -\ 18 6 2 1 x − 1 8

Solve the equation. Pick the answer in the simplest form. 2 3 ( 7 x + 1 ) \frac{2}{3}\left(7x+1\right) 3 2 ( 7 x + 1 )

4 2 3 x + 2 3 4\ \frac{2}{3}x\ +\ \frac{2}{3} 4 3 2 x + 3 2

14 21 x + 3 8 \frac{14}{21}x\ +\ \frac{3}{8} 2 1 1 4 x + 8 3

4 2 3 x + 1 4\ \frac{2}{3}x\ +1 4 3 2 x + 1

14 21 x + 1 \frac{14}{21}x\ +\ 1 2 1 1 4 x + 1

Fractions - Distributive Property

Authored by Sandy Vigil

Mathematics

7th Grade

CCSS covered

Used 89+ times

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15 questions

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation. Pick the answer in the simpliest form.
$\frac{3}{10}\left(x\ +\ 12\right)$

$\frac{3}{10}x\ +\ \frac{15}{12}$

$\frac{3}{10}x\ +\ \frac{36}{10}$

$\frac{3}{10}x\ +\ \frac{18}{5}$

$\frac{3}{10}x\ +\ \frac{3}{5}$

Tags

CCSS.6.EE.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation. Pick the answer in the simplest form.
$\frac{3}{2}\ \left(3x+5\right)$

$\frac{9}{6}x\ +\ \frac{15}{10}$

$4\ \frac{1}{2}X\ +\ 7\ \frac{1}{2}$

$\frac{9}{2}x\ +\ \frac{15}{2}$

$\frac{6}{2}x\ +\ 15$

Tags

CCSS.6.EE.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation. Pick the answer in the simplest form.
$\frac{2}{3}\left(y\ -7\right)$

$\frac{2}{3}y\ -\frac{14}{3}$

$\frac{2}{3}y\ +4\ \frac{1}{3}$

$\frac{2}{3}y\ -\ 4\ \frac{1}{3}$

$\frac{2}{3}y\ +\frac{14}{3}$

Tags

CCSS.7.EE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation. Pick the answer in the simplest form.
$\frac{3}{4\ }\ \left(x+5\ \frac{1}{2}\right)$

$\frac{3}{4}x\ +\ 4\ \frac{1}{8}$

$\frac{3}{4}x\ +\ 5\ \frac{4}{6}$

$\frac{3}{4}x\ +\ \frac{14}{8}$

$\frac{3}{4}x\ +\ \frac{33}{8}$

Tags

CCSS.7.EE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation. Pick the answer in the simplest form.
$\frac{5}{9}\ \left(y\ +\ 3\right)$

$\frac{5}{9}y\ +\ \frac{15}{9}$

$\frac{5}{9}y\ +1\ \frac{6}{9}$

$\frac{5}{9}+\ 1\ \frac{1}{3}$

$\frac{5}{9}y\ +\ 1\ \frac{1}{3}$

Tags

CCSS.6.EE.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation. Pick the answer in the simplest form.
$-\ \frac{1}{2}\left(b\ +2\right)$

$-\ \frac{1}{2}b\ -1$

$-\ \frac{1}{2}b\ \ +1$

$-\ \frac{1}{2}b\ +\ 2\ \frac{1}{2}$

$-\ \frac{1}{2}b\ -\ 2\ \frac{1}{2}$

Tags

CCSS.6.EE.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation. Pick the answer in the simplest form.
$\frac{1}{9\ }\left(b-\frac{1}{2}\right)$

$\frac{1}{9}b\ +\ \frac{1}{18}$

$\frac{1}{9}b\ +\ \frac{2}{11}$

$\frac{1}{9}b\ -\frac{1}{18}$

$\frac{1}{9}b\ -\ \frac{1}{11}$

Tags

CCSS.7.EE.A.1

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation. Pick the answer in the simplest form.
$\frac{2}{3}\ \left(9x\ -\ 6\right)$

$\frac{18}{3}x\ -\frac{12}{4}$

$6\ -\ 4$

$6x\ -4$

$-\ \frac{11}{27}x\ -\ \frac{12}{18}$

Tags

CCSS.6.EE.A.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation. Pick the answer in the simplest form.
$2\ \left(\frac{9}{5}x\ +10\right)$

$5\ \frac{3}{5}x\ +20$

$\frac{18}{5}x\ +\ 20$

$\frac{6}{3}x\ +\ 12$

$2b\ +20$

Tags

CCSS.6.EE.A.3

10.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve the equation. Pick the answer in the simplest form.
$-\ \frac{7}{4\ }\left(4b\ +\ \frac{1}{2}\right)$

$\frac{28}{16}b\ -\ 1\ \frac{1}{8}$

$7b\ -\ 1\ \frac{1}{8}$

$-7b\ -\ \frac{7}{8}$

$-2b\ -\ \frac{8}{6}$

Tags

CCSS.6.EE.A.3

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Fractions - Distributive Property

Solve the equation. Pick the answer in the simpliest form. 310(x + 12)\frac{3}{10}\left(x\ +\ 12\right)103​(x + 12)

Solve the equation. Pick the answer in the simplest form. 32 (3x+5)\frac{3}{2}\ \left(3x+5\right)23​ (3x+5)

Solve the equation. Pick the answer in the simplest form. 23(y −7)\frac{2}{3}\left(y\ -7\right)32​(y −7)

Solve the equation. Pick the answer in the simplest form. 34 (x+5 12)\frac{3}{4\ }\ \left(x+5\ \frac{1}{2}\right)4 3​ (x+5 21​)

Solve the equation. Pick the answer in the simplest form. 59 (y + 3)\frac{5}{9}\ \left(y\ +\ 3\right)95​ (y + 3)

Solve the equation. Pick the answer in the simplest form. − 12(b +2)-\ \frac{1}{2}\left(b\ +2\right)− 21​(b +2)

Solve the equation. Pick the answer in the simplest form. 19 (b−12)\frac{1}{9\ }\left(b-\frac{1}{2}\right)9 1​(b−21​)

Solve the equation. Pick the answer in the simplest form. 23 (9x − 6)\frac{2}{3}\ \left(9x\ -\ 6\right)32​ (9x − 6)

Solve the equation. Pick the answer in the simplest form. 2 (95x +10)2\ \left(\frac{9}{5}x\ +10\right)2 (59​x +10)

Solve the equation. Pick the answer in the simplest form. − 74 (4b + 12)-\ \frac{7}{4\ }\left(4b\ +\ \frac{1}{2}\right)− 4 7​(4b + 21​)

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Solve the equation. Pick the answer in the simpliest form.
$\frac{3}{10}\left(x\ +\ 12\right)$

Solve the equation. Pick the answer in the simplest form.
$\frac{3}{2}\ \left(3x+5\right)$

Solve the equation. Pick the answer in the simplest form.
$\frac{2}{3}\left(y\ -7\right)$

Solve the equation. Pick the answer in the simplest form.
$\frac{3}{4\ }\ \left(x+5\ \frac{1}{2}\right)$

Solve the equation. Pick the answer in the simplest form.
$\frac{5}{9}\ \left(y\ +\ 3\right)$

Solve the equation. Pick the answer in the simplest form.
$-\ \frac{1}{2}\left(b\ +2\right)$

Solve the equation. Pick the answer in the simplest form.
$\frac{1}{9\ }\left(b-\frac{1}{2}\right)$

Solve the equation. Pick the answer in the simplest form.
$\frac{2}{3}\ \left(9x\ -\ 6\right)$

Solve the equation. Pick the answer in the simplest form.
$2\ \left(\frac{9}{5}x\ +10\right)$

Solve the equation. Pick the answer in the simplest form.
$-\ \frac{7}{4\ }\left(4b\ +\ \frac{1}{2}\right)$