Answer:
6a) x = -6
Let's solve your equation step-by-step.
14= 2x + 26
Step 1: Flip the equation.
2x + 26 = 14
Step 2: Subtract 26 from both sides.
2x + 26 − 26 = 14 − 26
2x = −12
Step 3: Divide both sides by 2.
2x/2 = −12/2
x=−6
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7a) x = 4.25
Let's solve your equation step-by-step.
−30 =4 − 8x
Step 1: Simplify both sides of the equation.
−30 = 4 − 8x
−30 = 4 + −8x
−30 = −8x + 4
Step 2: Flip the equation.
−8x + 4 = −30
Step 3: Subtract 4 from both sides.
−8x + 4 − 4 = −30 − 4
−8x = −34
x=17/4 (Decimal: 4.25)
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8a) x = 8
Let's solve your equation step-by-step.
3(x − 4) = 12
Step 1: Simplify both sides of the equation.
3(x − 4) = 12
(3)(x) + (3)(−4)= 12(Distribute)
3x + −12 = 12
3x − 12= 12
Step 2: Add 12 to both sides.
3x − 12 +1 2 = 12 + 12
3x = 24
Step 3: Divide both sides by 3.
3x/3=24/3
x=8
X - number of dimes, y - number of quarters
x + y = 11
0.10 x + 0.25 y = 1.70
0.10 x + 0.25 ( 11 - x ) = 1.70
you can solve it:
0.10 x + 2.75 x - 0.25 x = 1.70
0.15 x = 1.05
x = 1.05 : 0.15
x = 7 ( a boy has 7 dimes and 4 quarters )
Answer: 0.10 x + 0.25 ( 11 - x ) = 1.70
it going to be 18 because the number is two less than ones digits and the sum of the digit is 8
23.76 I'm not 100% sure but I think (sorry if it's wrong!)
Factoring the first polynomial expression completely will give us (b+4)(b+8). Try to check it for yourself by multiplying the factors and you will get b2+12b+32. For the second polynomial expression, the factors are (a-5)(a+4). To check, just do the FOIL method and you will get a2-a-20.
