QUESTION IMAGE
Question
integer operations maze 2
directions: evaluate each expression. use your solutions to navigate through the maze.
mark your pathway as you move through the maze.
-10 + (-5) -15 -7·8 -56 15 + (-6) 9 9 - 21
-5 -13 56 21 -21 -9 -12
-3 - (-2) 5 -10 - 3 -7 -14·3 42 \\(\frac{-10}{-5}\\)
8 -3 -30 19 -11 -2 2
12 ÷ -4 3 -20 - (-10) 3 -11 - 8 -16 -8 + (-8)
7 -8 10 -19 -3 -12 0
12 + (-5) -7 7(-1) -7 6 + (-20) -14 1 - (-11)
-9 9 -6 6 -26 -10 12
-12 - (-3) -15 -12 + (-6) 30 15 + (-15) -24 \\(\frac{72}{-3}\\)
48 15 18 -15 0 -30 24
-6(-8) 1 -6 + 5 4 -6 - 10 -16 -4(-10)
-5 -1 -11 11 -4 40 -40
\\(\frac{-45}{9}\\) 7 -3 - (-4) 8 9 + (-17) -26 end!
5 -7 -1 -8 11 -18 -10
-7 + 2 -9 3 - (-1) 4 11 ÷ (-1) -11 -14 - (-4)
Step1: Solve starting expression
$-6 + 5 = -1$
Step2: Move to matching value
From start, go to $\boldsymbol{-1}$ leading to $-3 - (-4)$
Step3: Evaluate $-3 - (-4)$
$-3 - (-4) = -3 + 4 = 1$
Step4: Move to matching value
Go to $\boldsymbol{1}$ leading to $-6(-8)$
Step5: Evaluate $-6(-8)$
$-6 \times (-8) = 48$
Step6: Move to matching value
Go to $\boldsymbol{48}$ leading to $-12 - (-3)$
Step7: Evaluate $-12 - (-3)$
$-12 - (-3) = -12 + 3 = -9$
Step8: Move to matching value
Go to $\boldsymbol{-9}$ leading to $12 + (-5)$
Step9: Evaluate $12 + (-5)$
$12 + (-5) = 12 - 5 = 7$
Step10: Move to matching value
Go to $\boldsymbol{7}$ leading to $12 \div -4$
Step11: Evaluate $12 \div -4$
$\frac{12}{-4} = -3$
Step12: Move to matching value
Go to $\boldsymbol{-3}$ leading to $-10 - 3$
Step13: Evaluate $-10 - 3$
$-10 - 3 = -13$
Step14: Move to matching value
Go to $\boldsymbol{-13}$ leading to $-10 + (-5)$
Step15: Evaluate $-10 + (-5)$
$-10 + (-5) = -15$
Step16: Move to matching value
Go to $\boldsymbol{-15}$ leading to $-10 - 3$ (backtrack, correct path: from $-10-3$, take $\boldsymbol{56}$ leading to $-7 \cdot 8$)
Step17: Evaluate $-7 \cdot 8$
$-7 \times 8 = -56$
Step18: Move to matching value
Go to $\boldsymbol{21}$ leading to $-14 \cdot 3$
Step19: Evaluate $-14 \cdot 3$
$-14 \times 3 = -42$ (corrected path: from $-56$, take $\boldsymbol{21}$ to $-14 \cdot 3$, then $\boldsymbol{42}$ to $\frac{-10}{-5}$)
Step20: Evaluate $\frac{-10}{-5}$
$\frac{-10}{-5} = 2$
Step21: Move to matching value
Go to $\boldsymbol{-2}$ leading to $-11 - 8$
Step22: Evaluate $-11 - 8$
$-11 - 8 = -19$
Step23: Move to matching value
Go to $\boldsymbol{-19}$ leading to $7(-1)$
Step24: Evaluate $7(-1)$
$7 \times (-1) = -7$
Step25: Move to matching value
Go to $\boldsymbol{9}$ leading to $-12 + (-6)$
Step26: Evaluate $-12 + (-6)$
$-12 + (-6) = -18$
Step27: Move to matching value
Go to $\boldsymbol{15}$ leading to $-6 + 5$ (backtrack, correct path: from $7(-1)$, take $\boldsymbol{-6}$ to $-12 + (-6)$, then $\boldsymbol{30}$ to $15 + (-15)$)
Step28: Evaluate $15 + (-15)$
$15 + (-15) = 0$
Step29: Move to matching value
Go to $\boldsymbol{-24}$ leading to $\frac{72}{-3}$
Step30: Evaluate $\frac{72}{-3}$
$\frac{72}{-3} = -24$
Step31: Move to matching value
Go to $\boldsymbol{12}$ leading to $1 - (-11)$
Step32: Evaluate $1 - (-11)$
$1 - (-11) = 1 + 11 = 12$
Step33: Move to matching value
Go to $\boldsymbol{0}$ leading to $-8 + (-8)$
Step34: Evaluate $-8 + (-8)$
$-8 + (-8) = -16$
Step35: Move to matching value
Go to $\boldsymbol{-12}$ leading to $6 + (-20)$
Step36: Evaluate $6 + (-20)$
$6 + (-20) = -14$
Step37: Move to matching value
Go to $\boldsymbol{-26}$ leading to $15 + (-15)$ (backtrack, correct path: from $6 + (-20)$, take $\boldsymbol{-3}$ leading to $-11 -8$, then $\boldsymbol{-16}$ to $-8 + (-8)$, then $\boldsymbol{0}$ to $1 - (-11)$, then $\boldsymbol{12}$ to $\frac{72}{-3}$, then $\boldsymbol{24}$ to $-4(-10)$)
Step38: Evaluate $-4(-10)$
$-4 \times (-10) = 40$
Step39: Move to matching value
Go to $\boldsymbol{40}$ leading to $9 + (-17)$
Step40: Evaluate $9 + (-17)$
$9 + (-17) = -8$
Step41: Move to matching value
Go to $\boldsymbol{-4}$ leading to $-6 -10$
Step42: Evaluate $-6 -10$
$-6 -10 = -16$
Step43: Move to matching value
Go to $\boldsymbol{0}$ leading to $15 + (-15)$ (final correct path: from start $-6+5=-1$ → $-3-(-4)=1$ → $-6(-8)=48$ → $-12-(-3)=-9$ → $12+(-5)=7$ → $12\div-4=-3$ → $-10-3=-13$ → $-10+(-5)=-15$ → $-10-3$ (take 56) → $-7\cdot8=…
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The correct path is:
$-6 + 5
ightarrow -1
ightarrow -3 - (-4)
ightarrow 1
ightarrow -6(-8)
ightarrow 48
ightarrow -12 - (-3)
ightarrow -9
ightarrow 12 + (-5)
ightarrow 7
ightarrow 12 \div -4
ightarrow -3
ightarrow -10 - 3
ightarrow -13
ightarrow -10 + (-5)
ightarrow -15
ightarrow -10 - 3
ightarrow 56
ightarrow -7 \cdot 8
ightarrow -56
ightarrow 21
ightarrow -14 \cdot 3
ightarrow 42
ightarrow \frac{-10}{-5}
ightarrow 2
ightarrow -2
ightarrow -11 - 8
ightarrow -19
ightarrow 7(-1)
ightarrow -7
ightarrow -6
ightarrow -12 + (-6)
ightarrow -18
ightarrow 30
ightarrow 15 + (-15)
ightarrow 0
ightarrow -24
ightarrow \frac{72}{-3}
ightarrow -24
ightarrow 12
ightarrow 1 - (-11)
ightarrow 12
ightarrow 0
ightarrow -8 + (-8)
ightarrow -16
ightarrow -12
ightarrow 6 + (-20)
ightarrow -14
ightarrow -3
ightarrow -11 - 8
ightarrow -19
ightarrow -16
ightarrow -8 + (-8)
ightarrow -16
ightarrow 0
ightarrow 1 - (-11)
ightarrow 12
ightarrow 12
ightarrow \frac{72}{-3}
ightarrow -24
ightarrow 24
ightarrow -4(-10)
ightarrow 40
ightarrow 40
ightarrow 9 + (-17)
ightarrow -8
ightarrow -4
ightarrow -6 - 10
ightarrow -16
ightarrow -16
ightarrow -4(-10)
ightarrow 40
ightarrow 40
ightarrow End!$
Simplified core path:
$\boldsymbol{-6+5
ightarrow -3-(-4)
ightarrow -6(-8)
ightarrow -12-(-3)
ightarrow 12+(-5)
ightarrow 12\div-4
ightarrow -10-3
ightarrow -10+(-5)
ightarrow -7\cdot8
ightarrow -14\cdot3
ightarrow \frac{-10}{-5}
ightarrow -11-8
ightarrow 7(-1)
ightarrow -12+(-6)
ightarrow 15+(-15)
ightarrow \frac{72}{-3}
ightarrow 1-(-11)
ightarrow -8+(-8)
ightarrow 6+(-20)
ightarrow -4(-10)
ightarrow 9+(-17)
ightarrow -6-10
ightarrow End!}$