Day 89 - Solving Equations Review

Front

What is the first step in solving the equation 8x + 2 + 3x + 5 = x + 12?

Back

Combine Like Terms: 8x and 3x, and 2 and 5.

Front

Solve for x: 2 - 4x = 3x - 12

Back

x = 2

Front

Solve for x: 5 + 3x = 8x - 15

Back

x = 4

Front

Solve for x: 4x + 1 = 7x - 5

Back

x = 2

Front

Solve for x: 2x + 5 = -7

Back

x = -6

Front

What does 'combining like terms' mean in algebra?

Back

It means to add or subtract terms that have the same variable raised to the same power.

Front

What is the purpose of isolating the variable in an equation?

Back

To solve for the variable by getting it alone on one side of the equation.

Front

What is the equation of a line in slope-intercept form?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the distributive property in algebra?

Back

a(b + c) = ab + ac, meaning you multiply a term by each term inside the parentheses.

Front

What does it mean to 'solve for x'?

Back

To find the value of x that makes the equation true.