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Sagot :
Let's solve each expression step-by-step.
### i)
Evaluate:
[tex]\[ (-8) \times 9 + (-8) \times 7 \][/tex]
First, calculate each multiplication:
[tex]\[ (-8) \times 9 = -72 \][/tex]
[tex]\[ (-8) \times 7 = -56 \][/tex]
Now, add these values:
[tex]\[ -72 + (-56) = -72 - 56 = -128 \][/tex]
So,
[tex]\[ (-8) \times 9 + (-8) \times 7 = -128 \][/tex]
###
Evaluate:
[tex]\[ 20 \times (-16) + 20 \times 14 \][/tex]
First, calculate each multiplication:
[tex]\[ 20 \times (-16) = -320 \][/tex]
[tex]\[ 20 \times 14 = 280 \][/tex]
Now, add these values:
[tex]\[ -320 + 280 = -40 \][/tex]
So,
[tex]\[ 20 \times (-16) + 20 \times 14 = -40 \][/tex]
###
Evaluate:
[tex]\[ (-11) \times (-15) + (-11) \times (-25) \][/tex]
First, calculate each multiplication:
[tex]\[ (-11) \times (-15) = 165 \][/tex]
[tex]\[ (-11) \times (-25) = 275 \][/tex]
Now, add these values:
[tex]\[ 165 + 275 = 440 \][/tex]
So,
[tex]\[ (-11) \times (-15) + (-11) \times (-25) = 440 \][/tex]
###
Evaluate:
[tex]\[ (x - 16) \times (-8) + (-4) \times (-8) \][/tex]
First, calculate each part:
[tex]\[ (-4) \times (-8) = 32 \][/tex]
Now, the expression becomes:
[tex]\[ (x - 16) \times (-8) + 32 \][/tex]
Simplify:
[tex]\[ -8x + 128 + 32 = -8x + 160 \][/tex]
So,
[tex]\[ (x - 16) \times (-8) + (-4) \times (-8) = -8x + 160 \][/tex]
### ii)
Evaluate:
[tex]\[ 9 \times (-13) + 9 \times (-7) \][/tex]
First, calculate each multiplication:
[tex]\[ 9 \times (-13) = -117 \][/tex]
[tex]\[ 9 \times (-7) = -63 \][/tex]
Now, add these values:
[tex]\[ -117 + (-63) = -117 - 63 = -180 \][/tex]
So,
[tex]\[ 9 \times (-13) + 9 \times (-7) = -180 \][/tex]
### iv)
Evaluate:
[tex]\[ (-16) \times (-15) + (-16) \times (-5) \][/tex]
First, calculate each multiplication:
[tex]\[ (-16) \times (-15) = 240 \][/tex]
[tex]\[ (-16) \times (-5) = 80 \][/tex]
Now, add these values:
[tex]\[ 240 + 80 = 320 \][/tex]
So,
[tex]\[ (-16) \times (-15) + (-16) \times (-5) = 320 \][/tex]
### vi)
Evaluate:
[tex]\[ 10 \times (-12) + 5 \times (-12) \][/tex]
First, calculate each multiplication:
[tex]\[ 10 \times (-12) = -120 \][/tex]
[tex]\[ 5 \times (-12) = -60 \][/tex]
Now, add these values:
[tex]\[ -120 + (-60) = -120 - 60 = -180 \][/tex]
So,
[tex]\[ 10 \times (-12) + 5 \times (-12) = -180 \][/tex]
### viii)
Evaluate:
[tex]\[ (-26) \times 72 + (-26) \times 28 \][/tex]
First, calculate each multiplication:
[tex]\[ (-26) \times 72 = -1872 \][/tex]
[tex]\[ (-26) \times 28 = -728 \][/tex]
Now, add these values:
[tex]\[ -1872 + (-728) = -1872 - 728 = -2600 \][/tex]
So,
[tex]\[ (-26) \times 72 + (-26) \times 28 = -2600 \][/tex]
### Summary
Here are the solutions:
1. [tex]\( (-8) \times 9 + (-8) \times 7 = -128 \)[/tex]
2. [tex]\( 20 \times (-16) + 20 \times 14 = -40 \)[/tex]
3. [tex]\( (-11) \times (-15) + (-11) \times (-25) = 440 \)[/tex]
4. [tex]\( (x - 16) \times (-8) + (-4) \times (-8) = -8x + 160 \)[/tex]
5. [tex]\( 9 \times (-13) + 9 \times (-7) = -180 \)[/tex]
6. [tex]\( (-16) \times (-15) + (-16) \times (-5) = 320 \)[/tex]
7. [tex]\( 10 \times (-12) + 5 \times (-12) = -180 \)[/tex]
8. [tex]\( (-26) \times 72 + (-26) \times 28 = -2600 \)[/tex]
### i)
Evaluate:
[tex]\[ (-8) \times 9 + (-8) \times 7 \][/tex]
First, calculate each multiplication:
[tex]\[ (-8) \times 9 = -72 \][/tex]
[tex]\[ (-8) \times 7 = -56 \][/tex]
Now, add these values:
[tex]\[ -72 + (-56) = -72 - 56 = -128 \][/tex]
So,
[tex]\[ (-8) \times 9 + (-8) \times 7 = -128 \][/tex]
###
Evaluate:
[tex]\[ 20 \times (-16) + 20 \times 14 \][/tex]
First, calculate each multiplication:
[tex]\[ 20 \times (-16) = -320 \][/tex]
[tex]\[ 20 \times 14 = 280 \][/tex]
Now, add these values:
[tex]\[ -320 + 280 = -40 \][/tex]
So,
[tex]\[ 20 \times (-16) + 20 \times 14 = -40 \][/tex]
###
Evaluate:
[tex]\[ (-11) \times (-15) + (-11) \times (-25) \][/tex]
First, calculate each multiplication:
[tex]\[ (-11) \times (-15) = 165 \][/tex]
[tex]\[ (-11) \times (-25) = 275 \][/tex]
Now, add these values:
[tex]\[ 165 + 275 = 440 \][/tex]
So,
[tex]\[ (-11) \times (-15) + (-11) \times (-25) = 440 \][/tex]
###
Evaluate:
[tex]\[ (x - 16) \times (-8) + (-4) \times (-8) \][/tex]
First, calculate each part:
[tex]\[ (-4) \times (-8) = 32 \][/tex]
Now, the expression becomes:
[tex]\[ (x - 16) \times (-8) + 32 \][/tex]
Simplify:
[tex]\[ -8x + 128 + 32 = -8x + 160 \][/tex]
So,
[tex]\[ (x - 16) \times (-8) + (-4) \times (-8) = -8x + 160 \][/tex]
### ii)
Evaluate:
[tex]\[ 9 \times (-13) + 9 \times (-7) \][/tex]
First, calculate each multiplication:
[tex]\[ 9 \times (-13) = -117 \][/tex]
[tex]\[ 9 \times (-7) = -63 \][/tex]
Now, add these values:
[tex]\[ -117 + (-63) = -117 - 63 = -180 \][/tex]
So,
[tex]\[ 9 \times (-13) + 9 \times (-7) = -180 \][/tex]
### iv)
Evaluate:
[tex]\[ (-16) \times (-15) + (-16) \times (-5) \][/tex]
First, calculate each multiplication:
[tex]\[ (-16) \times (-15) = 240 \][/tex]
[tex]\[ (-16) \times (-5) = 80 \][/tex]
Now, add these values:
[tex]\[ 240 + 80 = 320 \][/tex]
So,
[tex]\[ (-16) \times (-15) + (-16) \times (-5) = 320 \][/tex]
### vi)
Evaluate:
[tex]\[ 10 \times (-12) + 5 \times (-12) \][/tex]
First, calculate each multiplication:
[tex]\[ 10 \times (-12) = -120 \][/tex]
[tex]\[ 5 \times (-12) = -60 \][/tex]
Now, add these values:
[tex]\[ -120 + (-60) = -120 - 60 = -180 \][/tex]
So,
[tex]\[ 10 \times (-12) + 5 \times (-12) = -180 \][/tex]
### viii)
Evaluate:
[tex]\[ (-26) \times 72 + (-26) \times 28 \][/tex]
First, calculate each multiplication:
[tex]\[ (-26) \times 72 = -1872 \][/tex]
[tex]\[ (-26) \times 28 = -728 \][/tex]
Now, add these values:
[tex]\[ -1872 + (-728) = -1872 - 728 = -2600 \][/tex]
So,
[tex]\[ (-26) \times 72 + (-26) \times 28 = -2600 \][/tex]
### Summary
Here are the solutions:
1. [tex]\( (-8) \times 9 + (-8) \times 7 = -128 \)[/tex]
2. [tex]\( 20 \times (-16) + 20 \times 14 = -40 \)[/tex]
3. [tex]\( (-11) \times (-15) + (-11) \times (-25) = 440 \)[/tex]
4. [tex]\( (x - 16) \times (-8) + (-4) \times (-8) = -8x + 160 \)[/tex]
5. [tex]\( 9 \times (-13) + 9 \times (-7) = -180 \)[/tex]
6. [tex]\( (-16) \times (-15) + (-16) \times (-5) = 320 \)[/tex]
7. [tex]\( 10 \times (-12) + 5 \times (-12) = -180 \)[/tex]
8. [tex]\( (-26) \times 72 + (-26) \times 28 = -2600 \)[/tex]
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