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Pre - Algebra

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Equations

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Writing Equations

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Writing Equations 1

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Question 1 of 5

The product of a certain number and

12

$12$ is

60

$60$ . What is the number?

(5)

Keywords for Word Problems
Keyword	Meaning
Certain number	Unknown variable ( $x, y, z,$ $x,y,z,$ etc)
is the same as, The answer is, is equal	$=$ $=$
sum, and, plus, more than	$+$ $+$
subtracted, less, minus	$-$ $-$
times, product, multiplied, twice	$\times$ $times$
half of, divide by	$\div$ $divide$

Question 2 of 5

If a number is multiplied by

8

$8$ and then

9

$9$ is subtracted from the product, the answer is

47

$47$ . What is the number?

(7)

Keywords for Word Problems
Keyword	Meaning
Certain number	Unknown variable ( $x, y, z,$ $x,y,z,$ etc)
is the same as, The answer is, is equal	$=$ $=$
sum, and, plus, more than	$+$ $+$
subtracted, less, minus	$-$ $-$
times, product, multiplied, twice	$\times$ $times$
half of, divide by	$\div$ $divide$

Question 3 of 5

Solve

3

$3$ less than

y

$y$ is equal to

25

$25$ .

$y =$ $y=$ (28)

Keywords for Word Problems
Keyword	Meaning
Certain number	Unknown variable ( $x, y, z,$ $x,y,z,$ etc)
is the same as, The answer is, is equal	$=$ $=$
sum, and, plus, more than	$+$ $+$
subtracted, less, minus	$-$ $-$
times, product, multiplied, twice	$\times$ $times$
half of, divide by	$\div$ $divide$

Question 4 of 5

Solve the product of

7

$7$ and

y

$y$ plus

6

$6$ is

- 50

$-50$ .

$y =$ $y=$ (-8)

Keywords for Word Problems
Keyword	Meaning
Certain number	Unknown variable ( $x, y, z,$ $x,y,z,$ etc)
is the same as, The answer is, is equal	$=$ $=$
sum, and, plus, more than	$+$ $+$
subtracted, less, minus	$-$ $-$
times, product, multiplied, twice	$\times$ $times$
half of, divide by	$\div$ $divide$

Question 5 of 5

Solve the product of

9

$9$ and

m

$m$ is equal to

14

$14$ less than

2 m

$2m$ .

$m =$ $m=$ (-2)

$12$ $12$ $x$ $x$	$=$ $=$	$60$ $60$
$12$ $12$ $x$ $x$ $\div 12$ $divide12$	$=$ $=$	$60$ $60$ $\div 12$ $divide12$
$x$ $x$	$=$ $=$	$5$ $5$	$12 \div 12$ $12divide12$ cancels out

$8$ $8$ $x$ $x$ $- 9$ $-9$	$=$ $=$	$47$ $47$
$8$ $8$ $x$ $x$ $- 9$ $-9$ $+ 9$ $+9$	$=$ $=$	$47$ $47$ $+ 9$ $+9$
$8$ $8$ $x$ $x$	$=$ $=$	$56$ $56$	$- 9 + 9$ $-9+9$ cancels out

$8$ $8$ $x$ $x$	$=$ $=$	$56$ $56$
$8$ $8$ $x$ $x$ $\div 8$ $divide8$	$=$ $=$	$56$ $56$ $\div 8$ $divide8$
$x$ $x$	$=$ $=$	$7$ $7$	$8 \div 8$ $8divide8$ cancels out

$y$ $y$ $- 3$ $-3$	$=$ $=$	$25$ $25$
$y$ $y$ $- 3$ $-3$ $+ 3$ $+3$	$=$ $=$	$25$ $25$ $+ 3$ $+3$
$y$ $y$	$=$ $=$	$28$ $28$	$- 3 + 3$ $-3+3$ cancels out

$7$ $7$ $y$ $y$ $+ 6$ $+6$	$=$ $=$	$- 50$ $-50$
$7$ $7$ $y$ $y$ $+ 6$ $+6$ $- 6$ $-6$	$=$ $=$	$- 50$ $-50$ $- 6$ $-6$
$7$ $7$ $y$ $y$	$=$ $=$	$- 56$ $-56$	$6 - 6$ $6-6$ cancels out

Writing Equations 1

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Quiz summary

Information

1. Question

Hint

Excellent!

Inverse Operations

2. Question

Hint

Well Done!

Inverse Operations

3. Question

Hint

Great Work!

Inverse Operations

4. Question

Hint

Good Job!

Inverse Operations

5. Question

Hint

Fantastic!

Inverse Operations

Quizzes

$12$ $12$	times	a certain number	is	$60$ $60$
$12$ $12$	$\times$ $times$	$x$ $x$	$=$ $=$	$60$ $60$

$12 \times x$ $12timesx$	$=$ $=$	$60$ $60$
$12 x$ $12x$	$=$ $=$	$60$ $60$

If a number	is multiplied by	$8$ $8$	and then $9$ $9$ is subtracted from the product,	the answer is	$47$ $47$
$x$ $x$	$\times$ $times$	$8$ $8$	$- 9$ $-9$	$=$ $=$	$47$ $47$

$(x \times 8) - 9$ $(xtimes8)-9$	$=$ $=$	$47$ $47$
$8 x - 9$ $8x-9$	$=$ $=$	$47$ $47$

$3$ $3$ less than $y$ $y$	is equal to	$25$ $25$
$y - 3$ $y-3$	$=$ $=$	$25$ $25$

The product of $7$ $7$ and $y$ $y$	plus	$6$ $6$	is	$- 50$ $-50$
$7 \times y$ $7timesy$	$+$ $+$	$6$ $6$	$=$ $=$	$- 50$ $-50$

$(7 \times y) + 6$ $(7timesy)+6$	$=$ $=$	$- 50$ $-50$
$7 y + 6$ $7y+6$	$=$ $=$	$- 50$ $-50$

The product of $9$ $9$ and $m$ $m$	is equal to	$14$ $14$ less than $2 m$ $2m$
$9 \times m$ $9timesm$	$=$ $=$	$2 m - 14$ $2m-14$

$9$ $9$ $m$ $m$	$=$ $=$	$2$ $2$ $m$ $m$ $- 14$ $-14$
$9$ $9$ $m$ $m$ $- 2 m$ $-2m$	$=$ $=$	$2$ $2$ $m$ $m$ $- 14$ $-14$ $- 2 m$ $-2m$
$7$ $7$ $m$ $m$	$=$ $=$	$- 14$ $-14$	$2 m - 2 m$ $2m-2m$ cancels out