Question

fill in the bubbles to select the value of x that gives each expression a value of 5.
|26 - 18| - x
x + 8 - |-1|
-34 + x + |42|
-x + |12 - 19|
x = 3
x = 2
x = -2
x = -3

Explanation:

Step1: Solve $|26-18| - x = 5$

First simplify absolute value: $|8| - x = 5 \implies 8 - x = 5$
Rearrange to solve for $x$: $x = 8 - 5 = 3$
Wait, correction: Wait no, the pre-filled bubble is x=2? No, solve correctly:
Wait no, set expression =5:
For $|26-18| - x =5$:
$|8| - x =5 \implies 8 - x =5 \implies x=3$. Wait, but the bubble for x=2 is filled? No, let's solve each expression properly.

Step2: Solve $x + 8 - |-1| = 5$

Simplify absolute value: $x + 8 - 1 =5 \implies x +7=5$
Solve for x: $x=5-7=-2$

Step3: Solve $-34 + x + |42| =5$

Simplify absolute value: $-34 + x +42=5 \implies x +8=5$
Solve for x: $x=5-8=-3$

Step4: Solve $-x + |12-19| =5$

Simplify absolute value: $-x + |-7|=5 \implies -x +7=5$
Solve for x: $-x=5-7=-2 \implies x=2$

Answer:

1. For $|26 - 18| - x$: $x=3$
2. For $x + 8 - |-1|$: $x=-2$
3. For $-34 + x + |42|$: $x=-3$
4. For $-x + |12 - 19|$: $x=2$

Filled bubbles should be:

• $|26 - 18| - x$: bubble under $x=3$
• $x + 8 - |-1|$: bubble under $x=-2$
• $-34 + x + |42|$: bubble under $x=-3$
• $-x + |12 - 19|$: bubble under $x=2$