Equation Word Problems 1

Years

Year 8

Equations

Equation Word Problems

Equation Word Problems 1

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Question 1 of 5

The product of a certain number and

12

$12$ is

$60$ . What is the number?

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

Question 2 of 5

If a number is multiplied by

$8$ and then

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

$47$ . What is the number?

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

Question 3 of 5

Solve

$3$ less than

$y$ is equal to

$25$ .

$y=$ (28)

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

Question 4 of 5

Solve the product of

$7$ and

$y$ plus

$6$ is

$-50$ .

$y=$ (-8)

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

Question 5 of 5

Solve the product of

$9$ and

$m$ is equal to

$14$ less than

$2m$ .

$m=$ (-2)

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

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

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

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

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

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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

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

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

$7$ $y$	$=$	$-56$
$7$ $y$ $divide7$	$=$	$-56$ $divide7$
$y$	$=$	$-8$	$7divide7$ cancels out

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

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

$7$ $m$	$=$	$-14$
$7$ $m$ $divide7$	$=$	$-14$ $divide7$
$m$	$=$	$-2$	$7divide7$ cancels out