What's Wrong With 'Em?
Equivalent Equations
Write an equation
100

Is this correct, why or why not?

5 (1+4h) + 2h = 27

5 + 20h + 2h = 27

27h = 27

h=1

Not correct, combined non like terms. 

22h = 22

h=1

100

Equivalent? yes or no?

2x - 5 =15

2x = 10

No

100

Priya is buying raisins and almonds to make trail mix. Almonds cost $5.20 per pound and raisins cost $2.75 per pound. Priya spent $11.70 buying almonds and raisins. The relationship between pounds of almonds, a, pounds of raisins, r , and the total cost is represented by the equation ?

5.20a + 2.75r = 11.70

200

Is this correct ? Why or why not?

2 (x+1) +1 =5

2(x+1) = 4

(x+1) = 2

x = 3 

No, you are suppose to subtract 1 from 2 instead of add it. x should equal 1

200

Equivalent? yes or no?

3x -12 = 24

3x = 36

15x - 60 = 120

Yes they are. 

1st one: added 12

2nd one: multiplied the whole equation by 3

200

Here is a linear equation in two variables: 

2x +4y -31 = 123

 Solve for x.

x = 77 - 2y

300

Where is the error?

1)  2(x+9) = 4(x+7)+2

2)  2x + 18 = 4x + 28 +2

3)  2x + 18 = 4x + 26

4)        -8 = 2x

5)          -4 = x

Step 3, 28 and 2 were suppose to be added and they were subtracted.

300

What is an equivalent fraction?

3a + 6 = 15

3a = 9

a + 2 = 5

1/3 a = 1

300

Here is a linear equation in two variables: 

2x +4y -31 = 123

 Solve for y. 

y = 38.5 - 1/2 x