Substitution with Integers 2

Years

Year 8

Directed Numbers

Substitution with Integers

Substitution with Integers 2

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Question 1 of 4

1. Question
Substitute $x = 4$ $x=4$ and $y = 5$ $y=5$ , then solve

$x - y$ $x-y$
- (-1)
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Rules for Adding and Subtracting Integers

First, plug in the given values

$x = 4$ $x=4$
$y = 5$ $y=5$

$x$ $x$ $-$ $-$ $y$ $y$ $=$ $=$ $4$ $4$ $-$ $-$ $5$ $5$

Now, solve using the number line

Start at $4$ $4$ , then subtract $5$ $5$ by moving left $5$ $5$ places

$4$ $4$ $- 5$ $-5$ $=$ $=$

$4 - 5$ $4-5$ $=$ $=$ $- 1$ $-1$

$- 1$ $-1$
Question 2 of 4

2. Question
Substitute $y = 5$ $y=5$ and $z = - 3$ $z=-3$ , then solve

$y - z$ $y-z$
- (8)
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Rules for Adding and Subtracting Integers

First, plug in the given values

$y = 5$ $y=5$
$z = - 3$ $z=-3$

$y$ $y$ $-$ $-$ $z$ $z$ $=$ $=$ $5$ $5$ $-$ $-$ $- 3$ $-3$

$=$ $=$ $5$ $5$ $+$ $+$ $3$ $3$ Recall,

Now, solve using the number line

Start at $5$ $5$ , then since $3$ $3$ is positive move right $3$ $3$ places

$5$ $5$ $+ 3$ $+3$ $=$ $=$

$5 + 3$ $5+3$ $=$ $=$ $8$ $8$

$8$ $8$
Question 3 of 4

3. Question
Substitute $x = 4$ $x=4$ and $z = - 3$ $z=-3$ , then solve

$z - 4 x$ $z-4x$
- (-19)
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Rules for Adding and Subtracting Integers

First, plug in the given values

$x = 4$ $x=4$
$z = - 3$ $z=-3$

$z$ $z$ $- 4$ $-4$ $x$ $x$ $=$ $=$ $- 3$ $-3$ $- 4 ($ $-4($ $4$ $4$ $)$ $)$

Next, solve the multiplication.

$- 3 -$ $-3-$ $4 (4)$ $4(4)$ $=$ $=$ $- 3 -$ $-3-$ $16$ $16$

Now, solve using the number line

Start at $- 3$ $-3$ , then subtract $16$ $16$ by moving left $16$ $16$ places

$- 3$ $-3$ $- 16$ $-16$ $=$ $=$

$- 3 - 16$ $-3-16$ $=$ $=$ $- 19$ $-19$

$- 19$ $-19$
Question 4 of 4

4. Question
Substitute $y = - 5$ $y=-5$ , then solve

$y + (- 7) + 7$ $y+(-7)+7$
- (-5)
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Rules for Adding and Subtracting Integers

First, plug in the given values

$y = - 5$ $y=-5$

$y$ $y$ $+ (- 7) + 7$ $+(-7)+7$ $=$ $=$ $- 5$ $-5$ $+ (- 7) + 7$ $+(-7)+7$

Now, solve the equation

Keep in mind the rules for adding integers.

$- 5 +$ $-5+$ $(- 7) + 7$ $(-7)+7$ $=$ $=$ $- 5 +$ $-5+$ $0$ $0$ $- 7 + 7$ $-7+7$ cancels out

$=$ $=$ $- 5$ $-5$

$- 5$ $-5$

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Quiz summary

Information

1. Question

Hint

Nice Job!

Rules for Adding and Subtracting Integers

2. Question

Hint

Fantastic!

Rules for Adding and Subtracting Integers

3. Question

Hint

Correct!

Rules for Adding and Subtracting Integers

4. Question

Hint

Keep Going!

Rules for Adding and Subtracting Integers

Quizzes

$y$ $y$ $-$ $-$ $z$ $z$	$=$ $=$	$5$ $5$ $-$ $-$ $- 3$ $-3$
	$=$ $=$	$5$ $5$ $+$ $+$ $3$ $3$	Recall,

$- 5 +$ $-5+$ $(- 7) + 7$ $(-7)+7$	$=$ $=$	$- 5 +$ $-5+$ $0$ $0$	$- 7 + 7$ $-7+7$ cancels out
	$=$ $=$	$- 5$ $-5$