TCA 3 One Variable Algebra

Front

What is the distributive property in algebra?

Back

The distributive property states that 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 an equivalent expression?

Back

An equivalent expression is an expression that has the same value as another expression, even though it may look different.

Front

How do you simplify the expression 20(320m - 25)?

Back

Use the distributive property: 20 · 320m - 20 · 25 = 6400m - 500.

Front

What is the value of w in the equation 0.02w + 0.4 = 6.2?

Back

To find w, isolate it: 0.02w = 6.2 - 0.4; 0.02w = 5.8; w = 5.8 / 0.02 = 290.

Front

What does it mean for an equation to be true for a specific value of x?

Back

It means that when you substitute that value into the equation, both sides of the equation will be equal.

Front

What is the first step to solve the equation 5x + 30 = 85?

Back

Subtract 30 from both sides: 5x = 85 - 30; 5x = 55.

Front

How do you find the number of gigabytes available on a phone if the total capacity is 12 GB and 1.5 GB is used?

Back

Use the equation g + 1.5 = 12, where g is the available space.

Front

What is the solution to the equation 2(4 - x) = 16 when x = -4?

Back

Substituting x = -4 gives: 2(4 - (-4)) = 2(4 + 4) = 2(8) = 16, which is true.

Front

What is the process of isolating a variable in an equation?

Back

Isolating a variable involves rearranging the equation to get the variable on one side and the constants on the other.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form, combining like terms and eliminating unnecessary parentheses.