Practice Week 4

Front

What are three consecutive even integers whose sum is 90?

Back

28, 30, 32

Front

Solve the equation: 3x + 15 = 3(x + 5)

Back

Infinitely Many Solutions

Front

Solve for v in the equation: v + 3 = 18.

Back

15

Front

What equation represents the sum of two consecutive even numbers that equals 126?

Back

x + (x + 2) = 126

Front

Which situation can be represented by the equation 23 = 2x + 7?

Back

Dave worked 23 hours last week. This was 7 hours more than twice the number of hours that Isaac worked.

Front

Define consecutive even integers.

Back

Integers that follow each other in order and are both even, e.g., 2, 4, 6.

Front

What is the formula for the sum of n consecutive even integers?

Back

Sum = n/2 * (first even integer + last even integer) or Sum = n * (first even integer + (n-1))

Front

How do you solve for x in a linear equation?

Back

Isolate x on one side of the equation using inverse operations.

Front

What does it mean if an equation has infinitely many solutions?

Back

The equation is true for all values of the variable, indicating dependent equations.

Front

What is the first step in solving the equation 3x + 15 = 3(x + 5)?

Back

Distribute 3 on the right side: 3x + 15 = 3x + 15.