Ch# 4 Algebraic Equations and Inequalities Math Skills Ms. Bruno

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that shows the equality of two expressions, typically involving variables and constants, such as 3 + 4x = 19.

Front

How do you solve for x in the equation 3 + 4x = 19?

Back

Subtract 3 from both sides to get 4x = 16, then divide by 4 to find x = 4.

Front

What is the first step to solve the equation 8 - 2/5 m = 0?

Back

Add 2/5 m to both sides to isolate the variable term, resulting in 8 = 2/5 m.

Front

How do you find the cost of each orange if Graham spent $7.25 on 8 oranges and a packet of strawberries costing $2.85?

Back

First, subtract the cost of strawberries from the total: $7.25 - $2.85 = $4.40. Then divide by 8 to find the cost per orange: $4.40 / 8 = $0.55.

Front

What does the inequality 3/16 + 9/8 y > 3/4 represent?

Back

It represents a relationship where the left side must be greater than the right side, indicating a range of possible values for y.

Front

How do you solve the inequality 3/16 + 9/8 y > 3/4 for y?

Back

First, subtract 3/16 from both sides, then multiply by the reciprocal of 9/8 to isolate y.

Front

What is the distributive property in algebra?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

How do you apply the distributive property to the expression 24a - 3(2a - 5)?

Back

Distribute -3 to both terms inside the parentheses: 24a - 6a + 15.

Front

What is the solution to the equation 24a - 3(2a - 5) = 15?

Back

After simplifying to 18a + 15 = 15, subtract 15 from both sides to get 18a = 0, then divide by 18 to find a = 0.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in mathematical expressions and equations.