Algebra 1 Authentic Assessment Equivalent Equations

​Algebra 1

Authentic Assessment 1

Equivalent Equations​

​

Multiple Choice

Which equation is equivalent to the equation 6x+9=12?

• x+9=6

• 2x+3=4

• 3x+9=6

• 6x+12=9

Multiple Select

Select all the equations that have the same solution as the equation 3x−12=24.

• 15x−60=120

• 3x=12

• 3x=36

• x−4=8

• 12x−12=24

Multiple Choice

Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The equation 0.05n+0.1d=3.65 is one way to represent this situation.

Which equation is equivalent to the equation 0.05n+0.1d=3.65?

• 5n+d=365

• 0.5n+d=365

• 5n+10d=365

• 0.05d+0.1n=365

Multiple Select

Select all the equations that have the same solution as 2x−5=15.

• 2x=10

• 2x=20

• 2(x−5)=15

• 2x−20=0

• 4x−10=30

Multiple Choice

• P=0.59n

• P=5.90−0.59n

• P=5.90n

• P=n+0.59

Multiple Select

Kiran is collecting dimes and quarters in a jar. He has collected $10.00 so far and has d dimes and q quarters. The relationship between the numbers of dimes and quarters, and the amount of money in dollars is represented by the equation 0.1d+0.25q=10.

Select all the values (d,q) that could be solutions to the equation.

• (100,0)

• (20,50)

• (50,20)

• (0,100)

• (10,36)

Multiple Select

• (2,-3)

• (4,0)

• (5,-1)

• (0,-6)

• (2,3)