Your portfolio must include a minimum of the following five types of equations and solutions:
•two one-step equations

•two equations that contains fractions

•one equation with distributive property

•one equation with decimals

•one real-world problem that is solved by an equation

once you have created each equation, you will solve it and show your work. pretend that you are teaching the equations to a new pre-algebra student. or you can actually teach them to a sibling or friend!

Two one-step equations
x + 7 = 10
x = 7-7 = 10 - 7
x = 3

y + 47 = 20
y = 47 - 47 = 20 - 47
y = 27

Two equations that contains fractions
+ 
2 + 3 = 5
5/5 = 
or 1

+
12 + 7 = 19
19/20 = 


Distributive property
2x - 4(+4) = 10(+4)
2x - 16 = 40
2x - 16 + 16 = 40 + 16
2x = 56
56 ÷ 2 = 28
x = 28

Decimals
x = 1.2 + 7.8 ÷ 3(5)
1.2 + 7.8 = 9
9 ÷ 3 = 3
3 x 5 = 15
15.0

One real-world problem that is solved by an equation
Johnny deposits $2,000 into a bank account. If the interest rate is 5% per month how much will he have gained in interest in 6 years?
5% of 2,000 is 100
100 x 12 = 1,200
1,200 x 6 = 7,200
Johnny would gain $7,200 in 6 years

Ithink the answer is b

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.