EOC Practice HW #1

Front

Solve the equation: -3x + 4 = -2 - 6x

Back

x = -2

Front

Write an equation for Penelope's carnival expenses if she spends $35 in total: Cost to enter is $20 and each ride ticket is $0.50.

Back

.50x + 20 = 35

Front

Solve the equation: -11 + 3(x + 5) = 7

Back

x = 1

Front

How do you know when an equation has been solved?

Back

When x is by itself on one side of the equal sign.

Front

What is the first step to solve this equation: -3x - 11 = 44?

Back

Add 11 to both sides.

Front

What is an equation?

Back

A mathematical statement that asserts the equality of two expressions.

Front

What does it mean to isolate a variable?

Back

To manipulate an equation so that the variable is on one side and all other terms are on the other side.

Front

What is the distributive property?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by two or more terms inside a set of parentheses.

Front

What is a solution to an equation?

Back

A value that, when substituted for the variable, makes the equation true.

Front

What does it mean if an equation has no solution?

Back

It means there is no value for the variable that can satisfy the equation.